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NLP Centre, Faculty of Informatics, Masaryk University 14

aqua_rat__Ycr4gj1esKwLTAH3

P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work? Choose the correct choice from the following answers: A) 9 days B) 9 (3/5) days C) 11 1/5 days D) 13 days E) 13 1/7

Amount of work P can do in 1 day = 1/16 Amount of work Q can do in 1 day = 1/12 Amount of work P, Q and R can together do in 1 day = 1/4 Amount of work R can do in 1 day = 1/4 - (1/16 + 1/12) = 3/16 – 1/12 = 5/48 =&gt; Hence R can do the job on 48/5 days = 9 (3/5) days 9 (3/5) days) <result>B</result>

B

P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?

aqua_rat__XMKkR4iHC6GO1ry4

In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 7 women? Select. A) 7C4 7C5 B) 4C7 5C7 C) 7C5 9C4 D) 9C4 7C5 E) NONE

Group consisting of 7 men and 7 women 4 men can be selected from 7 men in 7C4 ways 5 women can be selected from 7 women in 7C5 ways Therefore, Total number of ways= 7C4 7C5 7C4 7C5NSWER:7C4 7C5 <result>A</result>

A

In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 7 women?

aqua_rat__DeSWE3IKYjj8OMVM

Each week, Harry is paid x dollars per hour for the first 24 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ? Choices A) 35 B) 36 C) 37 D) 38 E) 39

42x=24x+1.5x(H-24) ==&gt; 42=24+1.5(H-24) ==&gt; H-24 = 18/1.5= <gadget id="calculator">18/1.5</gadget> <output>12</output> 12=&gt; H = 36 Answer is 36 <result>B</result>

B

Each week, Harry is paid x dollars per hour for the first 24 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?

aqua_rat__S9ziVqJvChc4dNyy

At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/8 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten? Choices: A) 8 greater B) 17 fewer C) 28 fewer D) 36 fewer E) 44 fewer

Soln&gt;&gt; from the given ratio of 16:1 u can derive that ter are 480 students KG= 1/8* 480= <gadget id="calculator">1/8* 480</gadget> <output>60</output> 60 5th and 6th graders= 1/3 * 384= <gadget id="calculator">1/3 * 384</gadget> <output>128</output> 128 (1/3 of remainder) 1st and 2nd grade= 1/4 * 480= <gadget id="calculator">1/4 * 480</gadget> <output>120</output> 120 ( 1/4 of all students) equal number of students in 3rd and 4th=&gt; 480 - 344= <gadget id="calculator">480 - 344</gadget> <output>136</output> 136 and 136/2= <gadget id="calculator"> 136/2</gadget> <output>68</output> 68 each since equal number (344 is the sum of remaining students) thus 60-68=-8&gt;&gt;&gt; therfore answer is 8 greater 8 greater <result>A</result>

A

At Jefferson Elementary School, the number of teachers and students (kindergarten through sixth grade) totals 510. The ratio of students to teachers is 16 to 1. Kindergarten students make up 1/8 of the student population and fifth and sixth graders account for 1/3 of the remainder. Students in first and second grades account for 1/4 of all the students. If there are an equal number of students in the third and fourth grades, then the number of students in third grade is how many greater or fewer than the number of students in kindergarten?

aqua_rat__CGd93qSBpdYmbAJ6

To produce an annual income of Rs. 800 from a 8% stock at 90, What is the amount of stock needed? Select the correct option: A) 10000 B) 11000 C) 12000 D) 13000 E) 14000

Since face value is not given, take it as Rs.100. 10000s it is an 8% stock, income (dividend) per stock = Rs.8 ie, For an income of Rs.8,amount of stock needed = Rs.100 For an income of Rs.800, amount of stock needed = 100×800/8=10000 10000nswer is 10000. <result>A</result>

A

To produce an annual income of Rs. 800 from a 8% stock at 90, What is the amount of stock needed?

aqua_rat__A6cGJ0FDb4kkHwwv

In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun? Choose the correct choice from the following: A) 66 kg B) 67 kg C) 68 kg D) 69 kg E) None of these

Explanation: Let Arun’s weight by X kg. According to Arun, 65 &lt; X &lt; 72 According to Arun’s brother, 60 &lt; X &lt; 70. According to Arun’s mother, X &lt;= 68 The values satisfying all the above conditions are 66, 67 and 68. Required average = [66+67+68/3]=[201/3= <gadget id="calculator">201/3</gadget> <output>67</output> 67kg Answer 67 kg <result>B</result>

B

In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

aqua_rat__voz3hjVrBtZDoiwC

The difference in compound interest earned on a deposit (compounded annually) in year 1 and year 2 is $ 40. Had the interest rate been three times its present value, the difference would have been how much? Choose the correct option. A) 40/3 B) 40 C) 120 D) 360 E) 420

CASE 1: Deposit = $x; Rate of increase = r. Interest yearned in 1 year = xr. Deposit in 1 year = x + xr. Interest yearned in 2 year = (x + xr)r. The difference = (x + xr)r - xr = xr^2 = 40. CASE 2: Deposit = $x; Rate of increase = 3r. Interest yearned in 1 year = x(3r). Deposit in 1 year = x + 3xr. Interest yearned in 2 year = (x + 3xr)3r. The difference = (x + 3xr)3r - 3xr = 9xr^2. Since from CASE 1 we know that xr^2 = 40, then 9xr^2 = 9*40= <gadget id="calculator">9*40</gadget> <output>360</output> 360. Answer: 360 <result>D</result>

D

The difference in compound interest earned on a deposit (compounded annually) in year 1 and year 2 is $ 40. Had the interest rate been three times its present value, the difference would have been how much?

aqua_rat__PBYkJZX3hr7DJDPT

Carrie likes to buy t-shirts at the local clothing store. They cost $9.95 each. One day, she bought 20 t-shirts. How much money did she spend? Choose the correct choice from the following answers: A) $150 B) $248.75 C) $199 D) $171.6 E) $190

$9.95*20= <gadget id="calculator">9.95*20</gadget> <output>199</output> $199. Answer is $199. <result>C</result>

C

Carrie likes to buy t-shirts at the local clothing store. They cost $9.95 each. One day, she bought 20 t-shirts. How much money did she spend?

aqua_rat__7E14lUzri9JBQLMy

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 2 hour to row to a place and come back, how far is the place? Choose the correct choice from the following answers A) 2.4 km B) 4.8 km C) 3.4 km D) 4.4 km E) 5.6 km

Explanation: Speed in still water = 5 kmph Speed of the current = 1 kmph Speed downstream = (5+1)= <gadget id="calculator">(5+1)</gadget> <output>6</output> 6 kmph Speed upstream= (5-1)= <gadget id="calculator">(5-1)</gadget> <output>4</output> 4 kmph Let the required distance be x km Total time taken= 2 hour ⇒ x/6+x/4=2 ⇒2x+3x=24 ⇒5x=24 ⇒x=4.8 km Answer: Option 4.8 km <result>B</result>

B

A man can row at 5 kmph in still water. If the velocity of current is 1 kmph and it takes him 2 hour to row to a place and come back, how far is the place?

aqua_rat__SiTnIFGEk2Zr3Lpi

A van takes 5 hours to cover a distance of 600 km. What speed in kph should the van maintain to cover the same distance in 3/2 of the previous time? Pick one: A) 80 B) 84 C) 88 D) 92 E) 96

(3/2)*5= <gadget id="calculator">(3/2)*5</gadget> <output>15/2 = around 7.5</output> 7.5 hours 600 / 7.5= <gadget id="calculator">600 / 7.5</gadget> <output>80</output> 80 kph The answer is 80. <result>A</result>

A

A van takes 5 hours to cover a distance of 600 km. What speed in kph should the van maintain to cover the same distance in 3/2 of the previous time?

aqua_rat__IS2Fpq9SnRtddQWV

The sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the eldest child ? Pick one: A) 16 year B) 8 year C) 10 year D) None of these E) 9 year

Solution let the ages of the children be x,(x + 3),(x + 6),(x + 9) and (x + 12) year. then, x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50 ⇔ 5 x = 20 ⇔ x= 4. ∴ Age of the eldest child = x+12 = 4 +12= <gadget id="calculator">4 +12</gadget> <output>16</output> 16 years. 16 yearnswer 16 year <result>A</result>

A

The sum of the ages of 5 children born at the intervals of 3 year each is 50 year. what is the age of the eldest child ?

aqua_rat__elOeBNV4ECpsFax0

A batsman makes a score of 110 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning. Choose one: A) 40 B) 50 C) 60 D) 45 E) 56

Let the average after 11th inning = x Then, average after 10th inning = x-5 10(x-5)+110 = 11x x = 110-50= <gadget id="calculator">110-50</gadget> <output>60</output> 60 Answer is 60 <result>C</result>

C

A batsman makes a score of 110 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning.

aqua_rat__tGHrt6zWA4MpNeWs

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? Choose the correct answer: A) 47200 B) 48000 C) 42000 D) 50400 E) 65400

Explanation: The word 'CORPORATION' has 11 letters. It has the vowels 'O','O','A','I','O' in it and these 5 vowels should always come together. Hence these 5 vowels can be grouped and considered as a single letter. that is, CRPRTN(OOAIO). Hence we can assume total letters as 7. But in these 7 letters, 'R' occurs 2 times and rest of the letters are different. Number of ways to arrange these letters =7!2!=7×6×5×4×3×2×12×1=2520=7!2!=7×6×5×4×3×2×12×1=2520 In the 5 vowels (OOAIO), 'O' occurs 3 and rest of the vowels are different. Number of ways to arrange these vowels among themselves =5!3!=5×4×3×2×13×2×1=20=5!3!=5×4×3×2×13×2×1=20 Hence, required number of ways =2520×20=50400=2520×20=50400 ANSWER IS 50400 <result>D</result>

D

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

aqua_rat__r5SxciL0hUt74Uvl

In a factory, there are 80% technicians and 20% non-technicians. If the 80% of the technicians and 20% of non-technicians are permanent employees, then the percentage of workers who are temporary is? Pick A) 62% B) 68% C) 52% D) 22% E) 42%

Total = 100 T= 80 NT= 20 80*(20/100)=24 80*(20/100)=24 16 + 16= <gadget id="calculator">16 + 16</gadget> <output>32</output> 32=&gt; 100 - 32= <gadget id="calculator">100 - 32</gadget> <output>68</output> 68% Answer:68% <result>B</result>

B

In a factory, there are 80% technicians and 20% non-technicians. If the 80% of the technicians and 20% of non-technicians are permanent employees, then the percentage of workers who are temporary is?

aqua_rat__lSPhpJXKw5qonXcA

One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,80,000 as total savings, how much has he saved in Public Provident Fund? Select the correct option. A) 81000 B) 85000 C) 75000 D) 72000 E) 77000

Let savings in National Savings Certificate = x and savings in Public Provident Fund = (180000 - x) 1/3x=1/2(180000−x) ⇒2x=3(180000−x) ⇒2x=540000−3x ⇒5x=540000 ⇒x=540000/5= <gadget id="calculator">540000/5</gadget> <output>108_000</output> 108000 Savings in Public Provident Fund= (180000 - 108000)= <gadget id="calculator">(180000 - 108000)</gadget> <output>72_000</output> 72000 Answer is 72000. <result>D</result>

D

One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,80,000 as total savings, how much has he saved in Public Provident Fund?

aqua_rat__AHXEYT2Xqg401B3a

The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then Choose the correct answer. A) None of these B) x = y + z C) 2x = y + z D) x = 2y + 2z E) x = y + 2z

Explanation: Average of 6 numbers = x =&gt; Sum of 6 numbers = 6x Average of the 3 numbers = y =&gt; Sum of these 3 numbers = 3y Average of the remaining 3 numbers = z =&gt; Sum of the remaining 3 numbers = 3z Now we know that 6x = 3y + 3z =&gt; 2x = y + z Answer: Option 2x = y + z <result>C</result>

C

The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then

aqua_rat__UIYFJGwMKoMT0RhC

In how many ways 2 students can be chosen from the class of 20 students? Pick one: A) 190 B) 180 C) 240 D) 390 E) None

Solution: Number of ways = 20C2 = 20!/(2! 18!) = 20*19/2= <gadget id="calculator">20*19/2</gadget> <output>190</output> 190. 190nswer: Option 190 <result>A</result>

A

In how many ways 2 students can be chosen from the class of 20 students?

aqua_rat__yZHIT8rO5evqQ71S

1939392 * 625 Pick: A) 1212120010 B) 1212120000 C) 1212120011 D) 1212121010 E) 1212121000

Explanation: Trick: when multiplying with 5n 5n then put n zeros to the right of multiplicand and divide the number with 2n 2n So using this we can solve this question in much less time. 1939392×5(4)=1939392000016=1212120000 Option 1212120000 <result>B</result>

B

1939392 * 625

aqua_rat__82HeGgwngqILZUUy

In how many different number of ways 4 man and 3 woman can sit on a bench such that girls always sit together. Options: A) 700 B) 720 C) 730 D) 750 E) 770

Option '720' <result>B</result>

B

In how many different number of ways 4 man and 3 woman can sit on a bench such that girls always sit together.

aqua_rat__fJXoD7zjcbKfXk1b

Two employees X and Y are paid a total of Rs. 440 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Pick one A) s.150 B) s.200 C) s.250 D) s.350 E) s.400

Let the amount paid to X per week = x and the amount paid to Y per week = y Then x + y = 440 s.200ut x = 120% of y = 120y/100 = 12y/10 ∴12y/10 + y = 440 ⇒ y[12/10 + 1] = 440 ⇒ 22y/10 = 440 ⇒ 22y = 4400 ⇒ y = 4400/22 = 400/2 = Rs.200 s.200) <result>B</result>

B

Two employees X and Y are paid a total of Rs. 440 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

aqua_rat__VeNACwKbCbQRbwQ2

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case Select. A) 4 B) 7 C) 9 D) 13 E) 15

Explanation: Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43) = H.C.F. of 48, 92 and 140 = 4. 4NSWER IS 4 <result>A</result>

A

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case

aqua_rat__lZwrQINj9kN0oPkk

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work? Choose the correct choice from the following options. A) 6 B) 5 C) 7 D) 8 E) 2

1 women's 1 day work = 1/70 1 child's 1 day work = 1/140 (5 women + 10 children)'s 1 day work = (5/10 + 10/140) = (1/14 + 1/14) = 1/7 5 women and 10 children will complete the work in 7 days. Answer:7 <result>C</result>

C

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

aqua_rat__JKVf5hJcSVUytl6Q

A cube of side one meter length is cut into small cubes of side 20 cm each. How many such small cubes can be obtained? Choose the correct choice: A) 2878 B) 2778 C) 1000 D) 120 E) 125

Along one edge, the number of small cubes that can be cut = 100/20= <gadget id="calculator">100/20</gadget> <output>5</output> 5 Along each edge 20 cubes can be cut. (Along length, breadth and height). Total number of small cubes that can be cut= 5 * 5 * 5= <gadget id="calculator">5 * 5 * 5</gadget> <output>125</output> 125 Answer: 125 <result>E</result>

E

A cube of side one meter length is cut into small cubes of side 20 cm each. How many such small cubes can be obtained?

aqua_rat__SyDewSeGfJvDMs1u

A man sold 18 toys for Rs. 25200, gaining thereby the cost price of 3 toy find the cost price of a toy Pick. A) s. 600 B) s. 800 C) s.500 D) s.900 E) s. 1200

Let the cost of one toy = X. Then, cost of 18 toys = 18X. Gain = 3X. SP of 18 toys = Rs. 25200. Gain = SP – CP 3X = 25200 – 18X 21X = 25200 X = Rs. 1200. ANSWs. 1200R : OPTION s. 1200 <result>E</result>

E

A man sold 18 toys for Rs. 25200, gaining thereby the cost price of 3 toy find the cost price of a toy

aqua_rat__D992VMB8yU7Ixz0C

If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 850, how many terms that are smaller than 625 are there in the sequence? Choose the correct choice from the following choices A) 5 B) 7 C) 8 D) 12 E) 13

Since the median is 625 we know there must be a even number of integers because 50 is not a multiple of 625. So the list around 625 must go. 600 (625) 650 700 750 800 850 Since we know there are 5 numbers greater than 625 then there must be 5 numbers less then 625. 5 <result>A</result>

A

If in a certain sequence of consecutive multiples of 50, the median is 625, and the greatest term is 850, how many terms that are smaller than 625 are there in the sequence?

aqua_rat__YeJMptrSwnNgoxIC

23,8,34,81,33,... Choices. A) 24 B) 25 C) 26 D) 27 E) 28

23 : 2^3=8 34 : 3^4=81 33 : 3^3=27 ANSWER:27 <result>D</result>

D

23,8,34,81,33,...

aqua_rat__s0bC95mBE6SXS8Iu

If 2ab - 3c = 2a(b - c), which of the following must be true? Choose the correct choice from the following choices A) a=3/2 and c=0 B) a=1/2 and b=2 C) b=1 and c=0 D) a=1 or b=0 E) a=1/2 or c=0

2ab-3c = 2a (b-c) 2ab - 3c = 2ab - 2ac 3c= 2ac 2ac-3c = 0 c(2a-3) = 0 Either c = 0; or a = 3/2 a=3/2 and c=0 is the answer <result>A</result>

A

If 2ab - 3c = 2a(b - c), which of the following must be true?

aqua_rat__gDTTwunD4BZag4CY

Anita has 360 apples. There are 60 students are studying in her class. She would like to give each student the same amount of apples, how much should she give to each student? Options: A) 12 B) 6 C) 9 D) 15 E) 7

360/60= <gadget id="calculator">360/60</gadget> <output>6</output> 6 The answer is 6. <result>B</result>

B

Anita has 360 apples. There are 60 students are studying in her class. She would like to give each student the same amount of apples, how much should she give to each student?

aqua_rat__4K5XHqvco3zs7vHr

Find the length of the wire required to go 11 times round a square field containing 27889 m2. Choose the most appropriate option: A) 7348 B) 3388 C) 2667 D) 8766 E) 66711

a2 = 27889 =&gt; a = 167 4a = 668 668 * 11= <gadget id="calculator">668 * 11</gadget> <output>7_348</output> 7348 7348nswer: 7348 <result>A</result>

A

Find the length of the wire required to go 11 times round a square field containing 27889 m2.

aqua_rat__qqUU3SdafDG2J0oH

Mary received a 20% raise each month for three consecutive months. What was her salary after the three raises if her starting salary was $1,000 per month? Choose the correct answer A) $1,348 B) $1,500 C) $1,631 D) $1,728 E) $1,863

1000 * 1.2 * 1.2 * 1.2 = 1000 * 1.728= <gadget id="calculator">1000 * 1.728</gadget> <output>1_728</output> 1728 Answer: $1,728 <result>D</result>

D

Mary received a 20% raise each month for three consecutive months. What was her salary after the three raises if her starting salary was $1,000 per month?

aqua_rat__1Lbw0ebpoBywPFiD

Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 8 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 4 days? Choose one A) 5 B) 9 C) 10 D) 12 E) 15

This is an inverse proportional problem...... 5 pipes in 8 days; So for 4 days, it will be = 8 x 5 / 4 = 10 So, 10-5 = 5 5nswer 5 <result>A</result>

A

Five drainage pipes, each draining water from a pool at the same constant rate, together can drain a certain pool in 8 days. How many additional pipes, each draining water at the same constant rate, will be needed to drain the pool in 4 days?

aqua_rat__pJ8sgOXKYVLGn0JV

A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work? Pick one. A) 6 days B) 7 days C) 5 days D) 3 days E) 2 days

One day's work of A and B = 1/9 + 1/8 = (2+1)/18 = 1/6 So, the time taken to complete the work is 6 days. 6 daysnswer:6 days <result>A</result>

A

A can do a work in 9 days and B can do the same work in 18 days. If they work together, in how many days will they complete the work?

aqua_rat__jIjtAbIMAFiQg9nM

A can contains a mixture of liquids A and B is the ratio 7:5. When 15 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially? Choose the most appropriate option. A) 30 B) 35 C) 40 D) 45 E) 50

Ci*Vi = Cf*Vf (7/12)*(V1 - 15) = (7/16)*V1 (V1 - 15)/V1 = 3/4 15 accounts for the difference of 1 on ratio scale so Initial volume = V1 = 4*15= <gadget id="calculator">4*15</gadget> <output>60</output> 60 litres. 7/12 of the initial mixture was liquid A so liquid A was (7/12)*60= <gadget id="calculator"> (7/12)*60</gadget> <output>35</output> 35 litres. Answer : 35 <result>B</result>

B

A can contains a mixture of liquids A and B is the ratio 7:5. When 15 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many liter of liquid A was contained by the can initially?

aqua_rat__UC9gC9EpFJ9nyFKn

The compound interest on Rs. 20,000 at 8% per annum is Rs. 3,328. What is the period (in year)? Choices: A) 1 year B) 4 years C) 3 years D) 2 years E) 5 years

Explanation: Let the period be n years. Amount after n years = Rs.20000 + Rs.3328 = Rs. 23328 P(1+R/100)T=23328 20000(1 + 8/100)n = 23328 20000(108/100)n = 23328 (108/100)n = 23328/20000 = 11664/10000 = (108/100)2 n = 2 years Answer: Option 2 years <result>D</result>

D

The compound interest on Rs. 20,000 at 8% per annum is Rs. 3,328. What is the period (in year)?

aqua_rat__IVkAWz0x2rJtynNC

The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is? Choose the correct option A) 23 B) 27 C) 30 D) 32 E) 34

5:3:4 Total parts = 12 12 parts --&gt; 108 1 part ----&gt;9 The second number of the three numbers is = 3 3 parts ----&gt; 27 27) <result>B</result>

B

The ratio of three numbers is 5:3:4 and their sum is 108. The second number of the three numbers is?

aqua_rat__wZeH9hHnQYWOzk9C

How many 7s are there in the following series which are not immediately following by 3 but immediately preceded by 8? 8 9 8 7 6 2 2 6 3 2 6 9 7 3 2 8 7 2 7 7 8 7 3 7 7 9 4 Choose the correct choice from the following: A) Nil B) One C) Two D) Three E) More than three

876 and 872 ANSWER:Two <result>C</result>

C

How many 7s are there in the following series which are not immediately following by 3 but immediately preceded by 8? 8 9 8 7 6 2 2 6 3 2 6 9 7 3 2 8 7 2 7 7 8 7 3 7 7 9 4

aqua_rat__x2A6a2RFC3uK0DtO

Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 30 in two years, at the same percent rate per annum? Choose the correct choice from the following choices A) s. 20 B) s. 48 C) s. 42 D) s. 20 E) s. 60

Explanation: SI in 2 years = Rs. 20, SI in 1 year = Rs. 10 CI in 2 years = Rs. 30 % rate per annum = [(CI – SI) / (SI in 1 year)] *100 = [(30 – 20) / 20] * 100 = 50 % p.a. Let the principal be Rs. X Time = T = 2 years % rate = 50% p.a. SI = (PRT/100) 20 = (X*50*2) / 100 X = Rs. 20 s. 20NSWER: s. 20 <result>A</result>

A

Find the principal which yields a simple interest of Rs. 20 and compound interest of Rs. 30 in two years, at the same percent rate per annum?

aqua_rat__rTLZPGuchLlRZY0w

Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely? Pick: A) 26 sec B) 28 sec C) 12 sec D) 77 sec E) 66 sec

D = 250 m + 250 m = 500 m RS = 80 + 70= <gadget id="calculator">80 + 70</gadget> <output>150</output> 150 * 5/18= 125/3 T = 500 * 3/125= <gadget id="calculator">500 * 3/125</gadget> <output>12</output> 12 sec Answer: 12 sec <result>C</result>

C

Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. In what time will they cross each other completely?

aqua_rat__Q33PtedBRPp59sXX

If the function Q is defined by the formula Q = 5w/(4m(z^2)), by what factor will Q be multiplied if w is quadrupled, m is doubled, and z is tripled? Select: A) 1/9 B) 2/9 C) 4/9 D) 3/9 E) 2/27

We just need to find the factor thats all, w -&gt; quadrupled -&gt; 4w m-&gt; doubled -&gt; 2m z-&gt; tripled -&gt; 3Z Hence, Z^2 = 9Z^2 W is in numerator, and m*z in denominator. Hence, Additional factor being introduced = 4/2*9 =4/18 = 2/9 = 2/9 <result>B</result>

B

If the function Q is defined by the formula Q = 5w/(4m(z^2)), by what factor will Q be multiplied if w is quadrupled, m is doubled, and z is tripled?

aqua_rat__pkRSMr5h495gsS0I

Three partners A,B & C invested total Rs. 1,15,000. After one year one olhem gets a profit of Rs.6000, second gets Rs. 10,000 and third gets Rs. 14000 then how much amount did B invested? Choose the correct choice. A) Rs.10,000 B) Rs.40,000 C) Rs.20,000 D) Rs.50,000 E) none

3:5:7 is thr ratio's of their profits (5/15)*115000 ans is 38333.3 ANSWnoneR:none <result>E</result>

E

Three partners A,B & C invested total Rs. 1,15,000. After one year one olhem gets a profit of Rs.6000, second gets Rs. 10,000 and third gets Rs. 14000 then how much amount did B invested?

aqua_rat__8puzxLCaPFqM8MfT

Rectangular tile each of size 45cm by 50cm must be laid horizontally on a rectangular floor of size 250cm by 180cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is: Select A) 35 B) 40 C) 25 D) 18 E) 20

Area of tile = 45*50= <gadget id="calculator">45*50</gadget> <output>2_250</output> 2250 Area of floor= 250*180= <gadget id="calculator">250*180</gadget> <output>45_000</output> 45000 No of tiles= 45000/2250= <gadget id="calculator">45000/2250</gadget> <output>20</output> 20 So, the no of tile=20 ANSW20R:20 <result>E</result>

E

Rectangular tile each of size 45cm by 50cm must be laid horizontally on a rectangular floor of size 250cm by 180cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:

aqua_rat__rxFrzovsduDbLnZT

The speeds of three motor bikes are in the ratio 12 : 4 : 6. The ratio between the time taken by them to travel the same distance is : Options: A) 1 : 3 : 5 B) 1 : 4 : 2 C) 1 : 2 : 2 D) 1 : 3 : 3 E) 1 : 3 : 2

Ratio of time taken : 1/12 :1/4 : 1/6 = 1 : 3 : 2 ANSW1 : 3 : 2R:1 : 3 : 2 <result>E</result>

E

The speeds of three motor bikes are in the ratio 12 : 4 : 6. The ratio between the time taken by them to travel the same distance is :

aqua_rat__cNTMaSFx61n0GVli

Vijay bought 160 shirts at the rate of Rs. 245 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%? Choose the correct choice from the following answers: A) Rs. 258 B) Rs. 270 C) Rs. 277.5 D) Rs. 309 E) None of these

Total CP per shirt = 245 + 1400/160 + 1.75 + 320/160 = Rs. 257.5 SP = CP[(100 + profit%)/100] = 257.5 * [(100 + 20)/100] = Rs. 309. ANSWER:Rs. 309 <result>D</result>

D

Vijay bought 160 shirts at the rate of Rs. 245 per shirt. The transport expenditure was Rs. 1400. He paid an octroi at the rate of Rs. 1.75 per shirt and labour charges were Rs. 320. What should be the selling price of one shirt, if he wants a profit of 20%?

aqua_rat__AxjFpNxgNtzyeOvs

John has on his shelf one books of poetry, seven novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work? Choose the most appropriate option. A) 1/2 B) 2/5 C) 3/10 D) 7/20 E) 14/45

When we are picking two books, one novel and one reference work, we could either pick a novel first and then a reference book or pick a reference book and then a novel. Therefore the answer is 7/10*2/9 + 2/10*7/9 = 14/45. Answer: 14/45. <result>E</result>

E

John has on his shelf one books of poetry, seven novels, and two reference works. Suppose from these ten books, we were to pick two books at random. What is the probability that we pick one novel and one reference work?

aqua_rat__L0CTEBXMesADlEoT

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is? Pick: A) 76 B) 55 C) 14 D) 33 E) 99

Part filled in 2 hours = 2/6 = 1/3. Remaining part = 1 - 1/3 = 2/3 (A + B)'s 1 hour work = 2/21 14's 1 hour work = [(A + B + 14)'s 1 hour work - (A + B)'s 1 hour work] = (1/6 - 2/21) = 1/14 14 alone can fill the tank in 14 hours.Answer:14 <result>C</result>

C

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?

aqua_rat__z2sSlQN4yxwBey36

A man cheats while buying as well as while selling. While buying he takes 11% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 9.09% below the cost price of the claimed weight. Choose the correct choice. A) 19.81% B) 20% C) 37.5% D) 25% E) 42.86%

There is a one step calculation method too. It requires more thought but is faster. The man takes 11% more than what he pays for. So if he claims to take 100 pounds, he pays $100 but he actually takes 111 pounds for which he will take from the customer $111. Hence, in effect, there is a 11% mark up. While selling, he sells 30% less. This means, he claims to sell 100 pounds and gets $100 but actually sells only 70 pounds and should have got only $70 for it. So this is again a mark up of $30 on $70. But he also sells at 9.09% less i.e. gives a discount of 1/11. (1 + m1%)(1 + m2%)(1 - d%) = (1 + p%) 11/10 * 10/7 * 10/11 = (1 + p%) profit % = 42.86%42.86% <result>E</result>

E

A man cheats while buying as well as while selling. While buying he takes 11% more than what he pays for and while selling he gives 20% less than what he claims to. Find the profit percent, if he sells at 9.09% below the cost price of the claimed weight.

aqua_rat__GsWoBTN947J1jwEz

There are 5,280 feet in 1 mile and 10 inches in one foot. How many inches are in a mile? Choose the correct choice from the following answers: A) 5,280 - 12 B) 5,280/12 C) 12(5,280) D) 12^2(5,280) E) 10*5,280

1 feet = 10 inches 1 mile = 5280 feet 1 mile = 5280*10 inches Ans: 10*5,280 <result>E</result>

E

There are 5,280 feet in 1 mile and 10 inches in one foot. How many inches are in a mile?

aqua_rat__s8q8ivq1JyTg00Az

What is the remainder when 5990990900032 is divided by 32 ? Answers. A) 16 B) 8 C) 0 D) 2 E) 3

Though i was unaware of the divisibility test for 32 but i guessed the pattern!! divisibility rule for 4- last two digits must be divisible by 4 divisibility rule for 8- last three digits must be divisible by 8 similarly, divisibility rule for 32 - last five digits must be divisible by 32 Hence, Ans 0 <result>C</result>

C

What is the remainder when 5990990900032 is divided by 32 ?

aqua_rat__WwU0gbmZtt2ZQom6

A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent? Pick: A) 25% B) 25% C) 29% D) 55% E) 45%

800 --- 200 100 --- ? =&gt; 25% Answer: 25% <result>B</result>

B

A dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg, what is his percent?

aqua_rat__PudVPFJ7gO9OBKcY

if integer N has p factors ; how many factors will 8N have ? Choose the correct choice from the following choices: A) p B) 2p C) P+1 D) 2p+1 E) Cannot be determined

Case 1: Let N = 6 =&gt; 2 x 3 (prime factorization) =&gt; p = 4; 8N = 48 =&gt; No. of factors = 10; (p+6) Case 2: Let N = 7 =&gt; 3^2 (prime factorization) =&gt; p = 2; 8N = 56 =&gt; no of factors = 8; (4p) For different N different results are observed. So, shouldn't Cannot be determined be the right answer? <result>E</result>

E

if integer N has p factors ; how many factors will 8N have ?

aqua_rat__EbgLH7BFN214VlkD

Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 9 even numbers. His mother immediately worked out the answer. How much had he scored in Math? Select the correct option: A) 80 B) 90 C) 30 D) 70 E) 60

90 90 Sum = (n x n) + n Hence, 9 x 9 = 81 + 9= <gadget id="calculator">81 + 9</gadget> <output>90</output> 90 <result>B</result>

B

Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 9 even numbers. His mother immediately worked out the answer. How much had he scored in Math?

aqua_rat__t2ccWxxwrgF51ikV

A, B and C start a business, each investing Rs. 30,000/-. After 4 months A withdrew Rs. 10,000/-, B Rs. 6,000/- and C invested Rs 8000/- more. At the end of the year, a total profit of Rs. 69,000/-was recorded. What is the share of B? Choose the correct choice from the following: A) Rs. 25000/- B) Rs. 21,600/- C) Rs. 21,000/- D) Rs. 21,200/- E) None of these

Explanation: A : B : C = (30000 * 4 + 10000 * 8) : (30000 * 4 + 6000 * 8) : (30000 * 4 + 8000 * 8) (120000 + 80000) : (120000 + 48000) : (120000 + 64000) = 200000 : 168000 : 184000 A : B : C = 25 : 21 : 23 B’s Share = Rs. (69000 * 21/69) = 1000 * 21 = Rs. 21,000/- Answer: Option Rs. 21,000/- <result>C</result>

C

A, B and C start a business, each investing Rs. 30,000/-. After 4 months A withdrew Rs. 10,000/-, B Rs. 6,000/- and C invested Rs 8000/- more. At the end of the year, a total profit of Rs. 69,000/-was recorded. What is the share of B?

aqua_rat__mrUIGODVBpEWV7LZ

If the cost price of 72 articles is equal to the selling price of 60 articles, then what is the percent profit? Choose the correct option. A) 10% B) 15% C) 20% D) 25% E) 30%

Let x be the cost price of one article. Let y be the selling price of one article. 60y = 72x y = 1.2x The answer is 20%. <result>C</result>

C

If the cost price of 72 articles is equal to the selling price of 60 articles, then what is the percent profit?

aqua_rat__Wl7FHcmx0X43Lm1r

In 1999, there are 28 days in February and there are 365 days in the year. In 2000, there are 29 days in February and there are 366 days in the year. If the date March 20, 1999 is a Wednesday, then which one of the following would the date March 20, 2000 be? Choose one: A) Friday B) Tuesday C) Monday D) Sunday E) Saturday

From the information given, March 20, 2000 is 366 days after March 20, 1999. 366 days = 52 weeks and 2 more days. Therefore if March 20, 1999 is a Wednesday, then March 20, 2000 is Wednesday + 2 days = Friday Fridaynswer: Friday <result>A</result>

A

In 1999, there are 28 days in February and there are 365 days in the year. In 2000, there are 29 days in February and there are 366 days in the year. If the date March 20, 1999 is a Wednesday, then which one of the following would the date March 20, 2000 be?

aqua_rat__Veeh5L2if9QTkp3A

The list price of an article is Rs.69. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is? Choose the correct choice from the following choices: A) 9.33% B) 9.44% C) 9.45% D) 9.56% E) 9.67%

69*(90/100)*((100-x)/100) = 56.16 x = 9.56% ANSWER:9.56% <result>D</result>

D

The list price of an article is Rs.69. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is?

aqua_rat__NCesjKew5qiWOuMa

The ratio of the volumes of two cubes is 729 : 2197. What is the ratio of their total surface areas? Choose the correct choice from the following options A) 81 : 169 B) 81 : 122 C) 81 : 124 D) 81 : 126 E) 81 : 129

Ratio of the sides = 3√729 : 3√2197 = 9 : 13 Ratio of surface areas = 9^2 : 13^2 = 81 : 169 81 : 169nswer: Option 81 : 169 <result>A</result>

A

The ratio of the volumes of two cubes is 729 : 2197. What is the ratio of their total surface areas?

aqua_rat__5oYinpNFQ8iTLnpt

Country X taxes each of its citizens an amount equal to 14 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income? Choose the correct option A) $40,000 B) $52,000 C) $64,000 D) $66,667 E) $80,000

Equation is correct, so math must be a problem. 0.14*40,000+0.2*(x-40,000)=8,000 --&gt; 5,600+0.2x-8,000=8,000 --&gt; 0.2x=10,400 --&gt; x=52,000. Answer: $52,000. <result>B</result>

B

Country X taxes each of its citizens an amount equal to 14 percent of the first $40,000 of income, plus 20 percent of all income in excess of $40,000. If a citizen of Country X is taxed a total of $8,000, what is her income?

aqua_rat__xitTBmiR5z4emp20

What is the smallest positive integer x such that 507+x is the cube of a positive integer? Choices: A) 15 B) 5 C) 50 D) 2 E) 4

Given 507+x is a perfect cube so we will take 512 = 8*8*8 507+x = 512 x = 512-507= <gadget id="calculator">512-507</gadget> <output>5</output> 5 correct option is 5 <result>B</result>

B

What is the smallest positive integer x such that 507+x is the cube of a positive integer?

aqua_rat__OswFkyvlKy9fIGwF

There are two shelves A and B.The number of books in shelf A is 50 more than in shelf B..Then 20 books are removed from each shelf..Then the number of books in shelf A is twice the number of books in shelf..what are the number of books in shelf A originally? Choose the correct choice from the following answers A) 100 B) 115 C) 130 D) 120 E) 140

consider the books in B is x,then A has x+50,now 20 books are removed from both A&amp;B then A has x+30,B has x-20,now books in A will be twice of books in shelf B so x+30=2(x-20) solve this eq gives x=70 so initially A has 120 books ANSWER:120 <result>D</result>

D

There are two shelves A and B.The number of books in shelf A is 50 more than in shelf B..Then 20 books are removed from each shelf..Then the number of books in shelf A is twice the number of books in shelf..what are the number of books in shelf A originally?

aqua_rat__vo3vO3l3pKMqE4bI

Calculate the share of Y , if Rs. 690 is divided among X, Y and Z in the ratio 5 : 7 : 11? Choose one: A) 190 B) 160 C) 120 D) 151 E) 150

5 + 7 + 11= <gadget id="calculator">5 + 7 + 11</gadget> <output>23</output> 23 690/23= <gadget id="calculator">690/23</gadget> <output>30</output> 30 so Y's share=5*30= <gadget id="calculator">5*30</gadget> <output>150</output> 150 ANSW150R:150 <result>E</result>

E

Calculate the share of Y , if Rs. 690 is divided among X, Y and Z in the ratio 5 : 7 : 11?

aqua_rat__Hb3b6RkJnTpUZHbs

If 60 percent of 600 is 50 percent of x, then x=? Choose the correct choice: A) 600 B) 720 C) 820 D) 800 E) 920

0.6 * 600 = 0.5 * x x = 6/5 * 600= <gadget id="calculator">6/5 * 600</gadget> <output>720</output> 720 <result>B</result>

B

If 60 percent of 600 is 50 percent of x, then x=?

aqua_rat__97hjspKfXipqHPjl

One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is? Choose the most appropriate option: A) 5:4 B) 5:9 C) 5:6 D) 5:1 E) 5:7

45 * 5/18 = 10 25:20 =&gt; 5:4 5:4nswer: 5:4 <result>A</result>

A

One train is traveling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is?

aqua_rat__hdI1YgwDUz8B3FeT

The current of a stream runs at the rate of 3 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water? Select the correct option: A) A)7.24 B) B)2 C) C)8.5 D) D)6.67 E) E)3

S = 3 M = x DS = x + 3 US = x - 3 6/(x + 3) + 6/(x - 3) = 2 x = 7.24 7.24nswer:7.24 <result>A</result>

A

The current of a stream runs at the rate of 3 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?

aqua_rat__l1edgrWwKjNKsWVr

Fresh grapes contain 80% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 40 kg of fresh grapes? Choose the most appropriate option: A) 10 kg B) 12 kg C) 15 kg D) 16 kg E) 20 kg

From the question we know: 40kg * 80% = 32kg of water in the fresh grapes 40kg - 32kg of water = 8kg of non-water mass We are looking for the weight of the dry grapes (X). Since the question tells us that 20% of the weight of the dry graps is water and we know that 8kg is non-water mass we can set up the following equation: X = 1/5(X) + 8kg 4/5(X) = 8kg X = 10 kg 10 kgnswer- 10 kg <result>A</result>

A

Fresh grapes contain 80% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 40 kg of fresh grapes?

aqua_rat__sodAMIAsAM2JJvlw

The water from one outlet, flowing at a constant rate, can fill a swimming pool in 16 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 12 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool? Choose the correct choice: A) 0.22 B) 0.31 C) 2.50 D) 3.21 E) 6.85

Always remember RT=W i.e Rate*Time = Work Also remember that rate can be added or subtracted. For e.g if A do a work in 2 day and B do a work in 2 day. They both of them together will do a work in 1 day. So now your question first determine both outlets rate. 1st outlet rate = 1/16 (R=W/T here W=1 work, T = 16hrs) 2nd outlet rate = 1/12 (R=W/T here W=1 work, T = 12hrs) Both of them working together rate = 1st outlet rate + 2nd outlet rate = 1/16+1/12 = 7/48 again apply the formula RT=W T = W/R = 1/7/48 = 48/7 =6.85 Answer is 6.85. <result>E</result>

E

The water from one outlet, flowing at a constant rate, can fill a swimming pool in 16 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 12 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?

aqua_rat__V6tyKD5wJ7uihPqk

In how many ways can the letters of the word RECPECT be arranged? Choose the correct choice from the following options A) 2580 B) 2500 C) 2000 D) 2520 E) 3420

RECPECT has 7 words, but E is repeated two times. Thus ways = 7! / 2! = 2520 ways 2000 <result>C</result>

C

In how many ways can the letters of the word RECPECT be arranged?

aqua_rat__aYhp0CYLLh7fOs1S

Janet has to pay back her bank loan over 8 months following the below sequence. $50, $55, $65, $80, $85, $95, $110, ? How much will she pay back on the eigthmonth? Pick: A) $115 B) $145 C) $135 D) $125 E) $130

The sequence progresses +5, +10, +15 repeated; The amount to pay back on the 8th Month is $115 $115ns $115 <result>A</result>

A

Janet has to pay back her bank loan over 8 months following the below sequence. $50, $55, $65, $80, $85, $95, $110, ? How much will she pay back on the eigthmonth?

aqua_rat__IdbQAaTApIEldZ8c

Can you find the missing number in the sequence? 7 12 37 ? 9142 Choose the correct answer. A) 1262 B) 2189 C) 1132 D) 1214 E) 3256

1262 1262 Sequence is based on formula: Next = (1st Number)^2 - (2nd number) 7 12 37 ? 9142 7^2 - 12 = 37 12^2 - 37 = 107 37^2 - 107 = 1262 (1262nswer) 102^2 - 1262 = 9142 <result>A</result>

A

Can you find the missing number in the sequence? 7 12 37 ? 9142

aqua_rat__3m0KzJ2VAgvnsvJ6

In a multiple choice test comprising 5 Questions, each with 4 choices, what is the probability of a student getting 3 or more questions correct? Each question has only one correct answer and the student is equally likely to choose any of the four choices. Choose the correct answer. A) 24/256 B) 53/512 C) 105/512 D) 459/512 E) 47/256

Probability for choosing correct answer is 1/4 and incorrect answer is 3/4 For 3 correct answers, C(5,3)*(1/4)^3*(3/4)^2=90/(4^5) For 4 correct answers, C(5,4)*(1/4)^4*(3/4)^1=15/(4^5) For 5 correct answers, C(5,5)*(1/4)^5*(3/4)^0=1/(4^5) So total probability =106/1024 =53/512 Ans 53/512 <result>B</result>

B

In a multiple choice test comprising 5 Questions, each with 4 choices, what is the probability of a student getting 3 or more questions correct? Each question has only one correct answer and the student is equally likely to choose any of the four choices.

aqua_rat__3pBgg8kPvRsM0AjW

The average price of three items of furniture is Rs. 30000. If their prices are in the ratio 3:5:7, the price of the cheapest item is? Select A) 2379 B) 2889 C) 9288 D) 9000 E) 6000

Let their prices be 3x, 5x and 7x. Then, 3x + 5x + 7x = (15000 * 3) or x = 2000. Cost of cheapest item = 3x = Rs. 6000. Answer: 6000 <result>E</result>

E

The average price of three items of furniture is Rs. 30000. If their prices are in the ratio 3:5:7, the price of the cheapest item is?

aqua_rat__nIYQVpwkmd0Zn8ie

There are 10 women and 8 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible? Choose the correct choice A) 1040 B) 1260 C) 1480 D) 1620 E) 1850

10C2 * 8C2 = 45*28= <gadget id="calculator">45*28</gadget> <output>1_260</output> 1260 The answer is 1260. <result>B</result>

B

There are 10 women and 8 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?

aqua_rat__l1Wv4DjtNZES4Fvn

Given that 0 < a < b < c < d, which of the following the largest ? Answers. A) (c+d) / (a+b) B) (c+d) / (a+c) C) (c+d) / (a+q) D) (c+d) / (a+o) E) (c+d) / (a+f)

Explanation: Take a = 1, b = 2, c = 3, d = 4. option A is clearly true. Sol: (c+d) / (a+b) <result>A</result>

A

Given that 0 < a < b < c < d, which of the following the largest ?

aqua_rat__w17qKLcXfJ8eJRZ2

if a@b = a * b^(1/2) then 2@25 = ? self made Options A) 2 B) 6 C) 10 D) 8 E) 4

2* (25)^1/2= 2*5= <gadget id="calculator">2*5</gadget> <output>10</output> 10 10 is the answer <result>C</result>

C

if a@b = a * b^(1/2) then 2@25 = ? self made

aqua_rat__aq6dfGiCo79V0icU

At a tanning salon, customers are charged $10 for their first visit in a calendar month and $7 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon? Choose the most appropriate option: A) $1220 B) $1280 C) $1300 D) $1340 E) $1880

I get B. This question seems too straightforward for 600+. Am I missing something? 100 first-time visits --&gt; 100(10) = $1000 30 + 10= <gadget id="calculator">30 + 10</gadget> <output>40</output> 40 subsequent visits --&gt; 40(7)= $280 Total revenue: 1000+ 280= <gadget id="calculator">1000+ 280</gadget> <output>1_280</output> $1280 The answer is $1280. <result>B</result>

B

At a tanning salon, customers are charged $10 for their first visit in a calendar month and $7 for each visit after that in the same calendar month. In the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. All other customers made only one visit. If those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?

aqua_rat__elQRT81b19tNTbcu

The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1250 resolutions? Pick. A) 1277 m B) 1760 m C) 1278 m D) 1288 m E) 1378V

In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 1250 resolutions. = 1250 * 2 * 22/7 * 22.4= <gadget id="calculator">1250 * 2 * 22/7 * 22.4</gadget> <output>176_000</output> 176000 cm= 1760 m Answer: 1760 m <result>B</result>

B

The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 1250 resolutions?

aqua_rat__rTuJq4N5l1Y9tkZt

The average height of 35 boys in a class was calculated as 183cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places? Select. A) 187.89 cm B) 181.29 cm C) 123.98 cm D) 149.98 cm E) 146.89 cm

Calculated average height of 35 boys = 183 cm. Wrong total height of 35 boys = 183 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 183 cm - (166 cm - 106 cm)/35 = 183 cm - 60 /35 cm = 183 cm - 1.71 cm = 181.29 cm. Answer: 181.29 cm <result>B</result>

B

The average height of 35 boys in a class was calculated as 183cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places?

aqua_rat__6FOwmXyOpMROIaAS

A sum of Rs. 2743 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum? Select the correct option. A) 1642 B) 1640 C) 1632 D) 1688 E) 6386

(x*8*3)/100 = ((2743 - x)*3*5)/100 24x/100 = 41145/100 - 15x/100 39x = 41145 =&gt; x = 1055 Second sum = 2743 – 1055 =1688 Answer:1688 <result>D</result>

D

A sum of Rs. 2743 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?

aqua_rat__0bkoh8QRiZlNihcO

A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each on 1stJanuary and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is: Choose the correct choice from the following choices: A) $120 B) $121 C) $122 D) $123 E) $124

Amount = $ 1600 x 1 + 5 2 + 1600 x 1 + 5 2 x 100 2 x 100 = $ 1600 x 41 x 41 + 1600 x 41 40 40 40 = $ 1600 x 41 41 + 1 40 40 = $ 1600 x 41 x 81 40 x 40 = $ 3321. C.I. = $. (3321 - 3200) = $ 121 ANSWER : $121 $ 121 <result>B</result>

B

A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits $ 1600 each on 1stJanuary and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is:

aqua_rat__QHIR5nvXWj9X2WTE

India has a run rate of 3.2 in the first 10 overs. What should be the run rate in remaining 40 overs to win a game of 282 runs? Choose the correct answer A) 6.25 B) 6.27 C) 6.22 D) 6.21 E) 6.20

Explanation: Runs scored in first 10 overs: =&gt; Rate*Overs= 3.2*10= <gadget id="calculator">3.2*10</gadget> <output>32</output> 32 runs=&gt; Required runs = 282-32= <gadget id="calculator">282-32</gadget> <output>250</output> 250=&gt; Left overs= 40 Required rate = runs/overs = 250/40= <gadget id="calculator">250/40</gadget> <output>25/4 = around 6.25</output> 6.25=&gt; 6.25 runs per over is needed to win the game. 6.25NSWER: 6.25 <result>A</result>

A

India has a run rate of 3.2 in the first 10 overs. What should be the run rate in remaining 40 overs to win a game of 282 runs?

aqua_rat__gs4m3ObCz8J2DwB8

In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together? Choices: A) 1540 B) 2314 C) 5420 D) 1240 E) 4512

We must place all these books as under: XEXEX….XEX There are 21 books on English, 19 books on Hindi 19 places out of 22 can be chosen 22C19=22C3=1540 ways 1540NS: 1540 <result>A</result>

A

In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together?

aqua_rat__MENNuD5mTygYdeNE

Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 110kmph, find the rate at which the train B runs. Answers: A) 40 B) 165 C) 120 D) 80 E) 100

If two objects A and B start simultaneously from opposite points and, after meeting, reach their destinations in ‘a’ and ‘b’ hours respectively (i.e. A takes ‘a hrs’ to travel from the meeting point to his destination and B takes ‘b hrs’ to travel from the meeting point to his destination), then the ratio of their speeds is given by: Sa/Sb = √(b/a) i.e. Ratio of speeds is given by the square root of the inverse ratio of time taken. Sa/Sb = √(4/9) = 2/3 This gives us that the ratio of the speed of A : speed of B as 2:3. Since speed of A is 110 kmph, speed of 165 must be 110*(3/2)= <gadget id="calculator">110*(3/2)</gadget> <output>165</output> 165 kmph Answer 165 <result>B</result>

B

Two trains A and B starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. If the train A travels at 110kmph, find the rate at which the train B runs.

aqua_rat__2XabLPkpYEQJBO7A

Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 800 become in 3 years ? Select the correct option: A) Rs. 1020.80 B) Rs. 1025 C) Rs. 1052 D) Data inadequate E) None of these

Solution S.I. = Rs.(956-800 )=Rs.156 Rate = (100x156/800x3) = 6 1/2% New rate = (6 1/2 +4)% = 10 1/2% New S.I. = Rs.(800 x21/2x3/100) Rs. 252. ∴ New amount = Rs.(800+252)= Rs. 1052. Answer Rs. 1052 <result>C</result>

C

Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest.If the rate of interest is increased by 4% ,What amount will Rs. 800 become in 3 years ?

aqua_rat__oPxRIniPKINclMX1

A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum. Choose the correct choice from the following A) 3377 B) 6886 C) 2788 D) 2000 E) 28712

P(11/10)4 - P(6/5)2 = 482 P = 2000 Answer:2000 <result>D</result>

D

A sum of money is put out at compound interest for 2 years at 20%. It would fetch Rs.482 more if the interest were payable half-yearly, then it were pay able yearly. Find the sum.

aqua_rat__FgEf1p7ht6CxlyFi

There stand nine temples in a row in a holy place. All the nine temples have 100 steps climb. A fellow devotee comes to visit the temples. He drops a Re. 1 coin while climbing each of the 100 steps up. Then he offers half of the money he has in his pocket to the god. After that, he again drops Re. 1 coin while climbing down each of the 100 steps of the temple. If he repeats the same process at each temple, he is left with no money after climbing down the ninth temple. Can you find out the total money he had with him initially? Choose the correct choice from the following answers. A) 143700 B) 146900 C) 376190 D) 248117 E) 127690

B 146900 Whenever you face such type of questions, it is wise to begin from the last thing. Here in this question the last thing will be the 9th temple. He climbed down 100 steps and thus you know, he had Rs. 100 before beginning climbing down. Thus, he must have offered Rs. 100 to the god in that temple too (he offered half of the total amount). Also, he must have dropped Rs. 100 while climbing the steps of the ninth temple. This means that he had Rs. 300 before he begand climbing the steps of the ninth temple. Now, we will calculate in the similar manner for each of the temples backwards. Before the devotee climbed the eight temple: (300+100)*2 + 100= <gadget id="calculator">(300+100)*2 + 100</gadget> <output>900</output> 900 Before the devotee climbed the seventh temple: (900+100)*2 + 100= <gadget id="calculator"> (900+100)*2 + 100</gadget> <output>2_100</output> 2100 Before the devotee climbed the Sixth temple: (2100+100)*2 + 100= 4300 Before the devotee climbed the fifth temple: (4300+100)*2 + 100= <gadget id="calculator">(4300+100)*2 + 100</gadget> <output>8_900</output> 8900 Before the devotee climbed the fourth temple: (8900+100)*2 + 100= <gadget id="calculator"> (8900+100)*2 + 100</gadget> <output>18_100</output> 18100 Before the devotee climbed the third temple: (18100+100)*2 + 100= 36,500 Before the devotee climbed the second temple: (36500+100)*2 + 100= <gadget id="calculator"> (36500+100)*2 + 100</gadget> <output>73_300</output> 73300 Before the devotee climbed the first temple: (73300+100)*2 + 100= <gadget id="calculator">(73300+100)*2 + 100</gadget> <output>146_900</output> 146900 Therefore, the devotee had Rs. 146900 with him initially. <result>B</result>

B

There stand nine temples in a row in a holy place. All the nine temples have 100 steps climb. A fellow devotee comes to visit the temples. He drops a Re. 1 coin while climbing each of the 100 steps up. Then he offers half of the money he has in his pocket to the god. After that, he again drops Re. 1 coin while climbing down each of the 100 steps of the temple. If he repeats the same process at each temple, he is left with no money after climbing down the ninth temple. Can you find out the total money he had with him initially?

aqua_rat__bijE9f89jtmVAIlQ

The average of first 20 natural numbers is? Choose the correct option: A) 10.5 B) 11.4 C) 5.3 D) 5.9 E) 5.1

Sum of 20 natural no. = 420/2= <gadget id="calculator">420/2</gadget> <output>210</output> 210 10.5verage= 210/20= <gadget id="calculator">210/20</gadget> <output>21/2 = around 10.5</output> 10.5 10.5nswer:10.5 <result>A</result>

A

The average of first 20 natural numbers is?

aqua_rat__MaBdmF8ckv8Ku9b6

a dog have birth to 12 puppies, 2 female and 10 male. what is the ratio of the female puppies to the male? Choose one: A) 1/5 B) 1/6 C) 1/10 D) 2/12 E) 1/8

If female is 2 and male is 10, then 1/5. so ratio of female to male is = 2/10 = 1/5 1/5NSWER:1/5 <result>A</result>

A

a dog have birth to 12 puppies, 2 female and 10 male. what is the ratio of the female puppies to the male?

aqua_rat__IzxOl4034YRNzbm6

A small water pump would take 3 hours to fill an empty tank. A larger pump would take 3/4 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time? Choose the correct option: A) 3/4 B) 3/5 C) 5/7 D) 1/2 E) 4/5

Rate of the small pump is 1/3 tank/hour Rate of the larger pump is 1/(3/4) or 4/3 tank/hour; Combined rate of the two pumps is 1/3+4/3=5/3 tank/hour, together they will fill the empty tank in 1/(5/3)) = 3/5 hours (time=job/rate). Answer: 3/5 <result>B</result>

B

A small water pump would take 3 hours to fill an empty tank. A larger pump would take 3/4 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?

aqua_rat__ZMDh062odi5ZaFqR

P is five times as old as Q, and Q is six years older than R. If R is z years old, what is P’s age in terms of z? Choices: A) 5z + 6 B) 5z − 30 C) 5z + 30 D) (z + 6)/5 E) (z − 6)/5

P = 5Q Q = R+6 = z+6 P = 5(z+6) = 5z + 30 The answer is 5z + 30. <result>C</result>

C

P is five times as old as Q, and Q is six years older than R. If R is z years old, what is P’s age in terms of z?

aqua_rat__VXO8l8zTliB4Y581

A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle? Options: A) 54 cm2 B) 30 cm2 C) 17 cm2 D) 26 cm2 E) 98 cm2

The circumference of the circle is equal to the permeter of the rectangle. Let l = 6x and b = 5x 2(6x + 5x) = 2 * 22/7 * 3.5 =&gt; x = 1 Therefore l = 6 cm and b = 5 cm Area of the rectangle = 6 * 5= <gadget id="calculator">6 * 5</gadget> <output>30</output> 30 cm2 Answer: 30 cm2 <result>B</result>

B

A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?

aqua_rat__SbVLOHy3qSgIyLOD

R=(429)^2 * 237 * (1243)^3 is thrice of ? Select: A) 33605 * 31960 * (1243)^2 B) 33654 * 538219 * (1243)^2 C) 33891 * 533247 * (1243)^2 D) 34122 * 532004 * (1243)^2 E) 34606 * 534572 * (1243)^2

R=(429)^2*237*(1243)^3 is an odd number. Among answer choices only C is an odd number, (so thrice C also will be an odd number). Answer: 33891 * 533247 * (1243)^2. <result>C</result>

C

R=(429)^2 * 237 * (1243)^3 is thrice of ?

aqua_rat__hX6ykdF56j4VIWue

The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle? Choose the correct choice from the following options: A) 5 B) 4 C) 7 D) 2 E) 1

Let the sides of the rectangle be l and b respectively. From the given data, (√l2 + b2) = (1 + 108 1/3 %)lb =&gt; l2 + b2 = (1 + 325/3 * 1/100)lb = (1 + 13/12)lb = 25/12 lb =&gt; (l2 + b2)/lb = 25/12 12(l2 + b2) = 25lb Adding 24lb on both sides 12l2 + 12b2 + 24lb = 49lb 12(l2 + b2 + 2lb) = 49lb but 2(l + b) = 28 =&gt; l + b = 14 12(l + b)2 = 49lb =&gt; 12(14)2 = 49lb =&gt; lb = 48 Since l + b = 14, l = 8 and b = 6 l - b = 8 - 6= <gadget id="calculator">8 - 6</gadget> <output>2</output> 2m.Answer: 2 <result>D</result>

D

The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?

aqua_rat__Wco69b571S0TYDMn

Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years. Year Item of Expenditure Salary Transport and Fuel Bonus Interest on Loans Taxes 1998 288 98 3.00 23.4 83 1999 342 112 2.52 32.5 108 2000 324 101 3.84 41.6 74 2001 336 133 3.68 36.4 88 2002 420 142 3.96 49.4 98 The total amount spent for transport by the company during the given period is approximately what percent of the total amount of salary paid during this period? Choose the correct choice. A) A)0.5% B) B)1.24% C) C)1% D) D)3% E) E)4%

Required percentage = (288 + 342 + 324 + 336 + 420) = [ 17 x 100 ] % 1710 ~= 1%. Answer : 1% <result>C</result>

C

Expenditures of a Company (in Lakh Rupees) per Annum Over the given Years. Year Item of Expenditure Salary Transport and Fuel Bonus Interest on Loans Taxes 1998 288 98 3.00 23.4 83 1999 342 112 2.52 32.5 108 2000 324 101 3.84 41.6 74 2001 336 133 3.68 36.4 88 2002 420 142 3.96 49.4 98 The total amount spent for transport by the company during the given period is approximately what percent of the total amount of salary paid during this period?

aqua_rat__4PcqC8IQNOXeqFnL

The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Choose one. A) 76 m B) 178 m C) 225 m D) 187 m E) 176 m

Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (150 + x)/30 = 25/2 =&gt; 2(150 + x)= 750 =&gt; x = 225 m. Answer: 225 m <result>C</result>

C

The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is?

aqua_rat__EoEfJa1SxFHHeAGb

If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 36. By how much do the two digits differ? Pick A) 3 B) 4 C) 5 D) 6 E) 7

we are given that if the integer N has its digits reversed the resulting integer differs from the original by 25. First let’s express the reversed number in a similar fashion to the way in which we expressed the original integer. 10B + A = reversed integer Since we know the resulting integer differs from the original by 27 we can say: 10B + A – (10A + B) = 36 10B + A – 10A – B = 36 9B – 9A = 36 B – A = 4 Since B is the tens digit and A is the units digit, we can say that the digits differ by 4. The answer is 4. <result>B</result>

B

If a two-digit positive integer has its digits reversed, the resulting integer differs from the original by 36. By how much do the two digits differ?

aqua_rat__NnpLmeYvUWYtG4j4

Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent X of the lights that are on are supposed to be off? Choose the correct choice from the following choices. A) 22(2/9)% B) 16(2/3)% C) 11(1/9)% D) 10% E) 5%

Is the Answer D. let me try.. Let the light which are supposed to be OFF = SO Let the light which are supposed to be ON = SN Let the light which are ACTUALLY OFF = AO Let the light which are ACTUALLY ON = AN Let the total no. of lights be 100, So ACTUALLY ON lights = 80 And ACTUALLY OFF lights = 20 Also given &gt;&gt; forty percent of the lights that are supposed to off are actually on &gt;&gt;&gt; (40/100)*SO are ACTUALLY ON it means &gt;&gt;&gt; (60/100)*SO are ACTUALLY OFF Also given &gt;&gt; ten percent of the lights that are supposed to be on are actually off &gt;&gt;&gt; (10/100)*SN are ACTUALLY OFF it means &gt;&gt;&gt; (90/100)*SN are ACTUALLY ON So, Total ACTUALLY ON lights = (40/100)*SO + (90/100)*SN = 80 and Total ACTUALLY OFF lights = (60/100)*SO + (10/100)*SN = 80 From here we get SO = 20 we need to find: What percent of the lights that are on are supposed to be off &gt;&gt;&gt; So light ACTUALLY ON are 80 and light which are ACTUALLY ON, which are supposed to be OFF = (40/100)*SO = 8. So (8/80)*100= <gadget id="calculator">(8/80)*100</gadget> <output>10</output> 10%.10% <result>D</result>

D

Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent X of the lights that are on are supposed to be off?

aqua_rat__131Ij50Fxta4BNeK

What is the lowest possible common multiple of 2 distinct integers, each greater than 145? Options: A) 146 B) 147 C) 292 D) 146*146 E) 146*147

The least common multiple of two numbers greater than 145 is 2(146) = 292, where the two distinct integers are 146 and 292. The answer is 292. <result>C</result>

C

What is the lowest possible common multiple of 2 distinct integers, each greater than 145?

aqua_rat__dcclAHZHbo2qryIh

Anand and Deepak started a business investing Rs. 500 and Rs. 600 respectively. Out of a total profit of Rs. 420. Deepak's share is? Choose the correct choice from the following options: A) s. 220.01 B) s. 450.20 C) s. 845.01 D) s. 320.01 E) s. 229.09

Ratio of their shares = 500 : 600 = 5 : 6 Deepak's share = Rs. (420* 6/11) = Rs. 229.09 ANSWs. 229.09R "s. 229.09 <result>E</result>

E

Anand and Deepak started a business investing Rs. 500 and Rs. 600 respectively. Out of a total profit of Rs. 420. Deepak's share is?

aqua_rat__rtnu8hbYu8EwYhRx

The numerator of a fraction is increased by 200% and denominator is increased by 250% the resultant fraction is 3/14. What is the original fraction? Choose the correct choice from the following choices: A) 1/2 B) 3/4 C) 1/4 D) 1/8 E) 3/8

if the original fraction is x/y then after increasing numerator by 200% and denomenator by 250% new fraction will become 3x/3.5y 3x/3.5y = 3/14 =&gt; x/y = 1/4 , Hence original fraction is 1/4 ANSWER:1/4 <result>C</result>

C

The numerator of a fraction is increased by 200% and denominator is increased by 250% the resultant fraction is 3/14. What is the original fraction?

aqua_rat__Zyrwsy5BqSgwoCuS

300 is what percent of 40? . Select the correct option A) 0.2% B) 2% C) 5% D) 20% E) 750%

300= x*40/100 x = 750% Ans; 750% <result>E</result>

E

300 is what percent of 40? .

aqua_rat__cWn5QEAB40JeB0DN

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is: Choose the correct option: A) 504 B) 536 C) 544 D) 548 E) 568

Required number = (L.C.M. of 12, 15, 20, 54) + 8 = 540 + 8= <gadget id="calculator">540 + 8</gadget> <output>548</output> 548. Answer: Option 548 <result>D</result>

D

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is: