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aqua_rat__1smPsBcLuLVX8l3t

A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream? Choose the correct option: A) 6 B) 7 C) 5 D) 8 E) 9

Speed downstream = d/t = 85/(2 1/2) = 34 kmph Speed upstream = d/t = 45/(2 1/2) = 18 kmph The speed of the stream = (34 - 18)/2= <gadget id="calculator">(34 - 18)/2</gadget> <output>8</output> 8 kmph Answer: 8 <result>D</result>

D

A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?

aqua_rat__eW1jgXZXKHtpf0EB

A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done? Choose the correct choice from the following answers: A) 11 B) 5 C) 70 D) 11 E) 13

x/24 + x/30 + x/40 = 1 x = 11 days Answer:11 <result>D</result>

D

A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?

aqua_rat__prgStUjC3abB9nxB

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? Choose the correct answer A) 65 cm2 B) 30 cm2 C) 76 cm2 D) 68 cm2 E) 46 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__64IIUQKBW3gFaxMe

If x > 0.6, which of the following could be the value of x? Choose the most appropriate option: A) √0.6 B) √0.007 C) √0.006 D) √0.008 E) √0.009

√0.6nswer : √0.6 <result>A</result>

A

If x > 0.6, which of the following could be the value of x?

aqua_rat__XR0xsqnEj8a6G0Yt

Joseph completes work worth $3.25 in hour and his cost to company per hour is $2.85. Ray completes worth worth of $2.80 in an hour and his cost to company is $2.65 per hour. If Joseph works for 55,000 hours, how many must Ray work so that company makes at least as much in total gross profit as in case of Joseph ? Choose the correct choice from the following answers. A) 7,858 B) 8,301 C) 14,667 D) 63,840 E) 146,667

Joseph : Profit/hour = 3.25-2.85= <gadget id="calculator">3.25-2.85</gadget> <output>0.4</output> 0.4 : No of hours= 55,000 : Gross Profit = 55,000*0.4 = 22,000 Ray : Profit/hour = 0.15 : Gross Profit = 22,000 : No of hours = 22,000/0.15 = 220,000/1.5 (only closes is 146,667) Answer 146,667 <result>E</result>

E

Joseph completes work worth $3.25 in hour and his cost to company per hour is $2.85. Ray completes worth worth of $2.80 in an hour and his cost to company is $2.65 per hour. If Joseph works for 55,000 hours, how many must Ray work so that company makes at least as much in total gross profit as in case of Joseph ?

aqua_rat__NOQzq2zFLShDqtsH

The simple form of the ratio 4/5:8/9 is? Choices: A) 5:8 B) 4:9 C) 5:9 D) 5:3 E) 9:10

4/5 : 8/9 = 9:10 Answer: 9:10 <result>E</result>

E

The simple form of the ratio 4/5:8/9 is?

aqua_rat__pDNOGNffjriVODlb

If 0.8 of a number is equal to 0.09 of another number, the ratio of the numbers i Choose the correct choice from the following: A) 2 : 3 B) 3 : 4 C) 9 : 80 D) 20 : 3 E) None

Sol. 0.8A = 0.09 B ⇔ A / B = 0.09 / 0.8 = 9/80 = . ∴ A : B = 9 : 80. Answer 9 : 80 <result>C</result>

C

If 0.8 of a number is equal to 0.09 of another number, the ratio of the numbers i

aqua_rat__M27phkdlkioxQ2ec

A, B, and C working alone can finish constructing a house in 6, 8, and 12 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish? Choose the correct choice from the following A) 11:36 am B) 11:48 am C) 12:05 pm D) 12:27 pm E) 12:43 pm

A completes 1/6 of the job each hour. B completes 1/8 of the work each hour. C completes 1/12 of the work each hour. A completes 1/6 of the work in the first hour. Working together, A and B complete another 7/24 for a total of 11/24. Working together, A, B, and C can complete 9/24 of the work each hour. To complete 13/24, the time required is (13/24) / (9/24) = 13/9 hours. The work will be completed at 12:00 plus 4*60/9 minutes which is about 12:27 pm. The answer is 12:27 pm. <result>D</result>

D

A, B, and C working alone can finish constructing a house in 6, 8, and 12 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?

aqua_rat__ulquMihdac8NiFrL

Machine A working alone can complete a job in 10 hours. Machine A+B working alone can do the same job in 16 hours. How long will it take machine B working at their respective constant rates to complete the job? Choices: A) 20/3 B) 80/3 C) 50/4 D) 90/11 E) 23/7

Machines ( A ) ( 80/3 ) (A+80/3) ---Time - 10 - ( - ) -(16) ---Rate 16--- 6 -- 10 --Work 160 --160 -160 A+80/3 = (160/6) = 80/3 80/3 <result>B</result>

B

Machine A working alone can complete a job in 10 hours. Machine A+B working alone can do the same job in 16 hours. How long will it take machine B working at their respective constant rates to complete the job?

aqua_rat__pPp9uZ3UAK42c5Wi

When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of y customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began? Pick one A) (n - 1) y B) n + y –1 C) (n-1)/y D) y/(n-1) E) n/(y-1)

C. (n - 1) / y <result>C</result>

C

When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of y customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?

aqua_rat__yNUE6FanoHBXyqYS

If D is the product of all positive integers less than 31, than what is the greatest integer k for which D/18^k is an integer? Select: A) 3 B) 6 C) 7 D) 14 E) 26

30! D must be divisible by (3*3*2)^k. As I will find a lot of 2's among 30!'s factors I will focus on the 3's (that also occurs twice instead of only once as a factor in 18). Every multiple of 3 will provide me with atleast one factor of 3. There aren't that many so I list them quickly. 3 6 9* 12 15 18* 21 24 27** 30 The stars are marked as they are multiples of 9* or 27** and thus provides two or three 3's respectively. 3=3 (occurs 10 times) +10 3*3= <gadget id="calculator">3*3</gadget> <output>9</output> 9 (occurs 3 times) +3(adding just one additional three each as they were not counted for in the multiples of 3) 3*3*3= <gadget id="calculator">3*3*3</gadget> <output>27</output> 27 (occurs 1 time) +1 (again, adding just one as they were previously not counted) Total: 14. For every k we add two 3's. So we must divide 14 by 2 to get the highest integer K before we receive a non-integer result. Answer: 7 -&gt; Answer choice: 7. <result>C</result>

C

If D is the product of all positive integers less than 31, than what is the greatest integer k for which D/18^k is an integer?

aqua_rat__1bprEJ2wSBbh8MFa

What is the sum of the greatest common factor and the lowest common multiple of 45 and 125? Choose the correct choice from the following answers: A) 1920 B) 2201 C) 3240 D) 1130 E) 3840

Prime factorization of the given numbers 45= 3^2 125= 5^3 Greatest common factor =5 Lowest common multiple = 3^2*5^2 *5 =1125 Sum = 5+ 1125= <gadget id="calculator">5+ 1125</gadget> <output>1_130</output> 1130 Answer 1130 <result>D</result>

D

What is the sum of the greatest common factor and the lowest common multiple of 45 and 125?

aqua_rat__8PUA6K7zOEjYQzpS

Two concentric circles form a ring. The inner and outer circumference of the ring are 352/7 m and 528/7m respectively.Find the width of the ring. Select the correct option: A) 2 B) 4 C) 5 D) 6 E) 78

Explanation: let the inner and outer radii be r and R meters then, \inline {\color{4lack}2\prod r} = 352/7 =&gt; r = (352/7) * (7/22) * (1/2)= <gadget id="calculator">(352/7) * (7/22) * (1/2)</gadget> <output>8</output> 8m \inline {\color{4lack}2\prod R}= 528/7 =&gt; R= (528/7) * (7/22) * (1/2)= <gadget id="calculator">(528/7) * (7/22) * (1/2)</gadget> <output>12</output> 12m width of the ring= R-r = 12-8= <gadget id="calculator">12-8</gadget> <output>4</output> 4m Answer: 4) 4 <result>B</result>

B

Two concentric circles form a ring. The inner and outer circumference of the ring are 352/7 m and 528/7m respectively.Find the width of the ring.

aqua_rat__q7fMhPeaQg6sY0sY

Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? Select the correct option A) 30 m B) 60 m C) 65 m D) 70 m E) 90 m

Let breadth = x metres. Then, length = (x + 20) metres. Perimeter = 5300 m = 200 m. 26.50 2[(x + 20) + x] = 200 2x + 20 = 100 2x = 80 x = 40. Hence, length = x + 20 = 60 m 60 m <result>B</result>

B

Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?

aqua_rat__uLyb8bJW5ODwxdCh

The present ages of A,B and C are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. What are their present ages (in years)? Answers: A) 20, 25 and 35 B) 21, 18 and 36 C) 18, 21 and 34 D) 12, 14 and 18 E) 16, 28 and 36

Sum of their present ages =56+3×8=80 Present age of A =80×420=16 Present age of B =80×720=28 Present age of C =80×920=36 Answer is 16, 28 and 36. <result>E</result>

E

The present ages of A,B and C are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. What are their present ages (in years)?

aqua_rat__HsQotnZQD0ouitjT

If n is the smallest positive integer for which 2^n is a factor of 10!, then n =? Choose one. A) 2 B) 4 C) 6 D) 8 E) 10

10! = 3628800 A. 2^2 = 4 (3628800/4) - this is a factor of 10! 2 is answer <result>A</result>

A

If n is the smallest positive integer for which 2^n is a factor of 10!, then n =?

aqua_rat__ZUztCpLc1rEzgHrI

A company has 540 employees, 40% of whom are employed part time. If it hires 30 new employees, 20% of whom are employed part time, what will be the percent increase in part time employees? Answers A) 2 7/9 % B) 2 2/3 % C) 4 % D) 4 1/6 % E) 9 %

Total employee = 540 Part time Empl = 540 * 40/100= <gadget id="calculator">540 * 40/100</gadget> <output>216</output> 216 New part time empl= 30 * (20/100)= <gadget id="calculator">30 * (20/100)</gadget> <output>6</output> 6 Total new part time Emp= 6+216= <gadget id="calculator">6+216</gadget> <output>222</output> 222 Old part time Emp= 216 % increase = (new - old)*100/old =6*100/216 = 2.777% 2 7/9 %ns-2 7/9 % <result>A</result>

A

A company has 540 employees, 40% of whom are employed part time. If it hires 30 new employees, 20% of whom are employed part time, what will be the percent increase in part time employees?

aqua_rat__wnGANv3amKYS7GXg

Convert the 13/48 m/s into kilometers per hour? Choose the correct answer A) 1.5 kmph. B) 0.91 kmph. C) 1.2 kmph. D) 1.5 kmph. E) 0.98 kmph.

13/48 m/s = 13/48 * 18/5 = 49/50= <gadget id="calculator">49/50</gadget> <output>49/50 = around 0.98</output> 0.98 kmph. ANSW0.98 kmph.R:0.98 kmph. <result>E</result>

E

Convert the 13/48 m/s into kilometers per hour?

aqua_rat__G7LBGZH7Dnl9F1Ga

A train 150 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is? Choose the correct choice from the following options: A) 13 km/hr B) 59 km/hr C) 17 km/hr D) 18 km/hr E) 12 km/hr

Speed of the train relative to man = (150/10) m/sec = (15) m/sec. [15) * (18/5)] km/hr = 54 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 54 ==&gt; x = 59 km/hr. Answer:59 km/hr <result>B</result>

B

A train 150 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?

aqua_rat__r1sgnXKDhUZowsG0

Jim’s Taxi Service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles? Choices: A) $3.15 B) $4.45 C) $4.80 D) $5.50 E) $5.40

Let the fixed charge of Jim’s Taxi Service = 2.35 $ and charge per 2/5 mile(.4 mile) = .35$ Total charge for a trip of 3.6 miles = 2.35 + (3.6/.4) * .35 = 2.35 + 9*.35= <gadget id="calculator">2.35 + 9*.35</gadget> <output>5.5</output> 5.5 $ Answer $5.50 <result>D</result>

D

Jim’s Taxi Service charges an initial fee of $2.35 at the beginning of a trip and an additional charge of $0.35 for each 2/5 of a mile traveled. What is the total charge for a trip of 3.6 miles?

aqua_rat__4tJ82hAji9uWigpj

The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers? Choose the correct option: A) 277 B) 665 C) 662 D) 552 E) 281

8 * 84= <gadget id="calculator">8 * 84</gadget> <output>672</output> 672 – 7= 665 Answer:665 <result>B</result>

B

The average salary of workers in an industry is Rs.200 the average salary of technicians being Rs.400 and that of non-technicians being Rs.125. What is the total number of workers?

aqua_rat__zAVzJhrD8KY7cRfO

The first three terms of a proportion are 5, 15 and 20. The fourth term is? Options: A) 60 B) 65 C) 89 D) 78 E) 88

(15*20)/5= <gadget id="calculator">(15*20)/5</gadget> <output>60</output> 60 60nswer:60 <result>A</result>

A

The first three terms of a proportion are 5, 15 and 20. The fourth term is?

aqua_rat__YNOrdegoULPwlNza

A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 44 hrs and a machine of type S does the same job in 20 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used? Choose the correct answer. A) 56/21 B) 59/16 C) 44/21 D) 55/16 E) 12/59

Rate of machine R =1/44 Rate of machine S =1/20 since same no of machines used for R and S to do the same work in 4 hrs So collective rate needed to finish the work in 4 hrs= 1/4 Let the no of machine be x So, x/44 +x/20 =1/4 (5x+11x)/220=1/4 16x=55 x=55/16 So no of machine R is 55/16 Answer 55/16 <result>D</result>

D

A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 44 hrs and a machine of type S does the same job in 20 hours. If the company used the same number of each type of machine to do the job in 4 hours, how many machines of type R were used?

aqua_rat__9fNwGL1nYilyKR1G

If the remainder is 7 when positive integer n is divided by 10, what is the remainder when n is divided by 5? Choose the most appropriate option. A) 0 B) 1 C) 2 D) 3 E) 2

Assume x is quotient here, n=10x+7 ----------(1) and n=5x+ ? We can also write equation (1) as: n=(10x+5)+2. ie 5(2x+1)+1 ie the first term is perfectly divisible by 5. So,the remainder left is 2 So,answer (2) is right choice. <result>E</result>

E

If the remainder is 7 when positive integer n is divided by 10, what is the remainder when n is divided by 5?

aqua_rat__wIfHoJrqaXer5gYY

If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 180 pounds. What is Leo's current weight? Choose the correct choice from the following options: A) 80 B) 86 C) 92 D) 98 E) 104

L+K = 180 and so K = 180-L L+10 = 1.5K = 1.5(180-L) 2.5L = 260 L = 104 The answer is 104. <result>E</result>

E

If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 180 pounds. What is Leo's current weight?

aqua_rat__FpqpwvTcDYs8XPdW

If a boy travels with 5/6th of usual his speed,he is late by 10 mins.What is the usual time taken to travel? Pick one A) 44min B) 46min C) 48min D) 50min E) 52min

speed=5/6*x time=6/5t becz speed inversely proportional to time 6t/5-t=10 t=50min ANSWER:50min <result>D</result>

D

If a boy travels with 5/6th of usual his speed,he is late by 10 mins.What is the usual time taken to travel?

aqua_rat__2uXTCe7lczB2C2Bv

Sum of the squares of 3 no. is 138 and the sum of their products taken two at a time is 131. Find the sum? Answers A) 20 B) 21 C) 25 D) 26 E) 27

(a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 138 + 2* 131 a + b + c = √400 = 20 20 <result>A</result>

A

Sum of the squares of 3 no. is 138 and the sum of their products taken two at a time is 131. Find the sum?

aqua_rat__8QSUn3xYRtbMEWdU

A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was : Choose the correct choice: A) 4 B) 5 C) 10 D) 12 E) None

Sol. Let C.P. be Rs. 100. Then, marked price = Rs. 125. S.P. = 84% of Rs. 125 = Rs. [84 /100 * 125] = Rs. 105. ∴ Profit% = (105 - 100)= <gadget id="calculator">(105 - 100)</gadget> <output>5</output> 5%. Answer 5 <result>B</result>

B

A trader marked the price of his commodity so as to include a profit of 25%. He allowed discount of 16% on the marked price. His actual profit was :

aqua_rat__ISTkEEmYfkKylTFH

In a store, the total price for 20 shirts is $360 and the total price for 45 sweaters is $900. By how much does the average (arithmetic mean) price of a sweater exceed that of a shirt in this store? Choose the correct choice from the following answers: A) $1 B) $2 C) $3 D) $4 E) $5

The average price of a shirt is: $360 / 20= <gadget id="calculator">360 / 20</gadget> <output>18</output> $18. The average price of a sweater is: $900 / 45= <gadget id="calculator">900 / 45</gadget> <output>20</output> $20. The difference in price is: $20 - $18 = $2. The answer is $2. 20 - 18= <gadget id="calculator"> 20 - 18</gadget> <output>2</output> $2. The answer is $2. <result>B</result>

B

In a store, the total price for 20 shirts is $360 and the total price for 45 sweaters is $900. By how much does the average (arithmetic mean) price of a sweater exceed that of a shirt in this store?

aqua_rat__mqguEIUSGKuFg5qL

In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes Q of the competition are possible? Choose the correct option A) 18 B) 20 C) 54 D) 84 E) 120

the ways the three teams can be selected is.. i) A is selected, B is also selected, third can be any of the remaining 4.. so total ways 4.. they can be arranged in 4*3!=24 ways.. ii) A is not selected. threee teams can be selected from remaining 5 so total arrangements =5C3*3!=60 total Q=84 outcomes 84 <result>D</result>

D

In a business school case competition, the top three teams receive cash prizes of $5,000, $3,000, and $2,000, respectively, while the remaining teams are not ranked and do not receive any prizes. There are 6 participating teams, named Team A, Team B, Team C, Team D, Team E, and Team F. If Team A wins one of the prizes, Team B will also win one of the prizes. How many outcomes Q of the competition are possible?

aqua_rat__nyhNnoYsIlV5HoeQ

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 20 days to complete the same work. then Q alone can do it in Choose the correct choice from the following answers A) 20 B) 22 C) 25 D) 27 E) 40

Work done by P and Q in 1 day = 1/10 Work done by R in 1 day = 1/20 Work done by P, Q and R in 1 day = 1/10 + 1/20 = 3/20 But Work done by P in 1 day = Work done by Q and R in 1 day . Hence the above equation can be written as Work done by P in 1 day × 2 = 3/20 =&gt; Work done by P in 1 day = 3/40 =&gt; Work done by Q and R in 1 day = 3/40 Hence work done by Q in 1 day = 3/40 – 1/20 = 1/40 So Q alone can do the work in 40 days Answer is 40. <result>E</result>

E

P can do a work in the same time in which Q and R together can do it. If P and Q work together, the work can be completed in 10 days. R alone needs 20 days to complete the same work. then Q alone can do it in

aqua_rat__WhBxRGEX23hFsDq1

January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009? Choose the correct choice from the following answers: A) sunday B) friday C) monday D) wednesday E) thursday

The year 2008 is a leap year. So, it has 2 odd days. 1st day of the year 2008 is Tuesday (Given) So, 1st day of the year 2009 is 2 days beyond Tuesday. Hence, it will be Thursday. Answer: thursday) thursday <result>E</result>

E

January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?

aqua_rat__tK1M5xljTBjoNxys

The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit? Choose the correct option. A) 277 B) 960 C) 277 D) 266 E) 121

Let C.P. = Rs. x. Then, 832 - x = x - 448 2x = 1280 =&gt; x = 640 Required S.P. = 150% of Rs. 640 = 150/100 * 640 = Rs. 960. Answer: 960 <result>B</result>

B

The profit earned by selling an article for Rs. 832 is equal to the loss incurred when the same article is sold for Rs. 448. What should be the sale price for making 50% profit?

aqua_rat__4aFbP6ssjxrnZ9VN

Find the odd man out. 1, 5, 2, 3, 6, 11, 13 Choose the correct choice. A) 6 B) 5 C) 1 D) 13 E) 11

Explanation: Each of the numbers except 6 is a prime number. 6nswer: 6) 6 <result>A</result>

A

Find the odd man out. 1, 5, 2, 3, 6, 11, 13

aqua_rat__jLspkxqRCbbnHNju

If 45% of a number is 36, then the number is Choose the correct choice from the following choices. A) number is 60 B) number is 70 C) number is 90 D) number is 80 E) None of these

Solution: Let "a" be the number we seek. We get 45% × a = 36 2 × 45% × a = 2 × 36 = 72 90% × a = 72 10% × a = 72 : 9 = 8 100% × a = 8 × 10 = 80 a = 80 Answer number is 80 <result>D</result>

D

If 45% of a number is 36, then the number is

aqua_rat__dMssOjl6fC8eDxnP

A special municipal payroll tax charges not tax on a payroll less than $200,000 and only 0.2% on a company’s payroll above $200,000. If Belfried Industries paid $400 in this special municipal payroll tax, then they must have had a payroll of Choose the correct answer A) $180,000 B) $400,000 C) $220,000 D) $402,000 E) $2,200,000

ANSWER : B , ( with different approach) : The 400 paid is 0.2% of the additional amount above 200,000. Let it be X Now 0.2% of X = 400 Therefore X= 200,000 Total = 200,000 + X= 400,000 <result>B</result>

B

A special municipal payroll tax charges not tax on a payroll less than $200,000 and only 0.2% on a company’s payroll above $200,000. If Belfried Industries paid $400 in this special municipal payroll tax, then they must have had a payroll of

aqua_rat__9IGefFyeiIUFRN9k

The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ? Select the correct option. A) Rs. 11,300 B) Rs. 11,500 C) Rs. 11,302 D) Rs. 11,301 E) Rs. 11,303

Explanation: Manager's monthly salary = Rs. (1900 x 25 - 1500 x 24) = Rs. 11,500 Answer:Rs. 11,500 <result>B</result>

B

The average monthly salary of 24 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 400. What is the manager's monthly salary ?

aqua_rat__aHb82MgQev3XcKk6

How many four letter words are formed using the letters of the word PROBLEM? Choose the correct choice from the following answers: A) 760 B) 800 C) 840 D) 880 E) 920

The number of letters in the given word is seven. The number of four letter words that can be formed using these seven letters is 7P4 = 7 * 6 * 5 * 4= <gadget id="calculator">7 * 6 * 5 * 4</gadget> <output>840</output> 840. Answer: 840 <result>C</result>

C

How many four letter words are formed using the letters of the word PROBLEM?

aqua_rat__be7337l5UGHURbrl

A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets Pick one. A) 40% B) 50% C) 55% D) 65% E) 70%

Number of runs made by running = 110 - (3 x 4 + 8 x 6) = 120 - (60)= <gadget id="calculator">120 - (60)</gadget> <output>60</output> 60 Now, we need to calculate 60 is what percent of 120.=&gt; 60/120 * 100= <gadget id="calculator">60/120 * 100</gadget> <output>50</output> 50% 50% <result>B</result>

B

A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets

aqua_rat__A0ZB68h0r8lDt3Qp

A began business with 12500 and is joined afterwards by B with 50000. When did B join, if the profits at the end of the year are divided equally? Choose the most appropriate option: A) 3 months B) 9 months C) 10 months D) 7 months E) None of these

Let B join after x months of the start of the business so that B’s money is invested for (12 – x) months. ∴ Profit ratio is 12 × 12500 : (12 – x) × 50000 or 12 : 4(12 – x) Since profit is equally divided so 12 = 4(12 – x) or x = 3. Thus B joined after 8 months. 3 monthsnswer 3 months <result>A</result>

A

A began business with 12500 and is joined afterwards by B with 50000. When did B join, if the profits at the end of the year are divided equally?

aqua_rat__8lGX1O9yaDKmEEQx

Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel eight times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own? Choose the correct answer: A) 4 B) 6 C) 8 D) 9 E) 12

W: the time for Wyane to do the job S: the time for his son to do the job We have 1/W + 1/S = 1/8 and W = 8S Then we have 1/(8*S) + 1/S = 1/8 &lt;=&gt; 9/(8*S) = 1/8 &lt;=&gt; S = 9 ANS: 9 <result>D</result>

D

Working together, Wayne and his son can shovel the entire driveway in three hours. If Wayne can shovel eight times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?

aqua_rat__d0vX3Mf2Wzy5xLXT

a, b are positive integers. The remainder of a to be divided by 8 is 5 and the remainder of b to be divided by 6 is 2. Which is possible to be the remainder of a*b to be divided by 48 Choose the correct choice from the following choices A) a) 10 B) b) 6 C) c) 8 D) d) 12 E) e) 20

Two ways to do it... a=8x+5.. b=6y+2.. 1) convenient way.. Take x and y as 0, and you will get a*b as 5*2= <gadget id="calculator"> 5*2</gadget> <output>10</output> 10 a) 10nswer : a) 10 <result>A</result>

A

a, b are positive integers. The remainder of a to be divided by 8 is 5 and the remainder of b to be divided by 6 is 2. Which is possible to be the remainder of a*b to be divided by 48

aqua_rat__MfiONFqOV3Das01U

A and B complete a work in 8 days. A alone can do it in 14 days. If both together can do the work in how many days? Answers A) 5 days B) 8 days C) 6 days D) 3.15 days E) 2.75 days

1/8 + 1/14 = 11/56 56/11 = 5 days 5 daysnswer: 5 days <result>A</result>

A

A and B complete a work in 8 days. A alone can do it in 14 days. If both together can do the work in how many days?

aqua_rat__zDilIbMNaSrbEyqC

Here the sum of the series is 4+8+12+16+….. =612. find how many terms are there in the series? Options: A) 15 B) 19 C) 17 D) 14 E) 13

Solution: This is an A.P. in which a=4, d=4 and Sn=612 Then, n/2[2a+(n-1)d]=612 =&gt; n/2[2*4+(n-1)*4]=612 =&gt; 4n/2(n+1)=612 =&gt; n(n+1)=306 =&gt; n^2+n-306=0 =&gt; n^2+18n-17n-306=0 =&gt; n(n+18)-17(n+18)=0 =&gt; (n+18)(n-17)=0 =&gt; n=17. Number of terms=17. Answer 17 <result>C</result>

C

Here the sum of the series is 4+8+12+16+….. =612. find how many terms are there in the series?

aqua_rat__sny3rwLvlDvqFGe0

If a man crosses a 600 m long street in 5 minutes. What is his speed? Choices A) 7 km/hr B) 7.1 km/hr C) 7.2 km/hr D) 8 km/hr E) 9.2 km/hr

distance = 600 meter time = 5 minutes = 5 x 60 seconds = 300 seconds Speed = distancetime=600300=2m/s=2×185 km/hr=365 km/hr=7.2 km/hr 7.2 km/hr <result>C</result>

C

If a man crosses a 600 m long street in 5 minutes. What is his speed?

aqua_rat__PPXgu0awSJWvZowP

P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 40 meter/sec. Select: A) 21 meter/sec B) 7 meter/sec C) 14 meter/sec D) 18 meter/sec E) 35 meter/sec

P's speed =40 m/s P's distance = 1000m (as it is a km race) t = 1000/16 =25 sec Q's distance = 1000-125= <gadget id="calculator">1000-125</gadget> <output>875</output> 875m Q's time to complete this distance is also 62.5 sec. Q's speed= dist/time = 875/25= <gadget id="calculator">875/25</gadget> <output>35</output> 35 m/s Hence 35 meter/sec is the answer. <result>E</result>

E

P beats Q by 125 meter in a kilometer race. Find Q's speed if P's speed is 40 meter/sec.

aqua_rat__oB20kdK3xB5U3Sjs

I have two 10 paise coins. If 4 If 4/5 of what I have is 8is 8/9 of what you have, how much do you have? Select the correct option. A) 13 B) 17 C) 11 D) 18 E) 11

18 18 paise. <result>D</result>

D

I have two 10 paise coins. If 4 If 4/5 of what I have is 8is 8/9 of what you have, how much do you have?

aqua_rat__qsbfWQmSTHaeUTST

The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-seventh of its original value. How many amperes of electrical current will flow through the wire? Pick. A) 4/7 B) 7 C) 14 D) 28 E) 35

Given that, I∝1/R, I*R is a constant value. I1*R1 = I2*R2 I1*R1 = I2*R1/7 I2 = 7*I1 = 28 amperes The answer is 28. <result>D</result>

D

The amount of electrical current that flows through a wire is inversely proportional to the resistance in that wire. A wire originally carries 4 amperes of electrical current. Then the resistance is reduced to one-seventh of its original value. How many amperes of electrical current will flow through the wire?

aqua_rat__qyqLtDbBIfkqQwZJ

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 12, the how old is B? Pick: A) 10 years B) 4 years C) 6 years D) 15 years E) 16 years

Let C's age be x years. Then, B's age = 2x years. A's age = (2x + 2) years. (2x + 2) + 2x + x = 12 5x = 10 x = 2. Hence, B's age = 2x = 4 years. 4 years) <result>B</result>

B

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 12, the how old is B?

aqua_rat__DTQEgxGiin4rj0MK

In how many different ways can the letters of the word "LEADING" be arranged in such a way that the vowels always come together. Choose the correct choice A) W8 B) 789 C) 279 D) 277 E) 191

Answer:277 <result>D</result>

D

In how many different ways can the letters of the word "LEADING" be arranged in such a way that the vowels always come together.

aqua_rat__DZKMFrcuZGmW2auk

A car salesman earns a base salary of $800 per month plus a commission of $200 for each car he sells. If the car salesman earned $1600 in May, how many cars does he need to sell in June in order to double his May earnings? Pick: A) 10 B) 11 C) 12 D) 13 E) 14

800+200x=3200 x=12 cars. The answer is 12. <result>C</result>

C

A car salesman earns a base salary of $800 per month plus a commission of $200 for each car he sells. If the car salesman earned $1600 in May, how many cars does he need to sell in June in order to double his May earnings?

aqua_rat__54FBGvaGlMMTa73x

A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram? Select. A) 833 1/0 B) 833 1/3 C) 833 1/21 D) 833 1/2 E) 833 1/3

If the cost price is Rs.100, then to get a profit of 20%, the selling price should be Rs.120. If 120kg are to be sold, and the dealer gives only 100kg, to get a profit of 20%. How many grams he has to give instead of one kilogram(1000 gm). 120 gm ------ 100 gm 1000 gm ------ ? (1000 * 100)/120 = 2500/3 = 833 1/3 grams. Answer: 833 1/3 <result>B</result>

B

A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?

aqua_rat__Ql0Eg7BILzBxOXWI

In an election between two candidates, 10% of votes are were declares invalid. First candidate got 9000 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was: Pick. A) 9000 B) 98000 C) 50000 D) 11000 E) 12000

100 % - 10 % = 90 % 54%-36%=18% 18% ------&gt; 9000 ( 18 × 500 54 -36= <gadget id="calculator"> 54 -36</gadget> <output>18</output> 18% 18% ------&gt; 9000 ( 18 × 500= 9000) 100% -------&gt; 50000 votes (100 × 500 = 50000) 50000 <result>C</result>

C

In an election between two candidates, 10% of votes are were declares invalid. First candidate got 9000 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:

aqua_rat__AvwyQuZTogQxg15D

Reeya obtained 40, 60, 70, 80 and 80 out of 100 in different subjects, What will be the average Choose the most appropriate option: A) 66 B) 75 C) 80 D) 85 E) 90

Explanation: (40+60+70+80+80 / 5)=66 Option 66 <result>A</result>

A

Reeya obtained 40, 60, 70, 80 and 80 out of 100 in different subjects, What will be the average

aqua_rat__DwOffseyty6LBEMm

Convert 0.38 in to a vulgar fraction ? Choices: A) 18/50 B) 16/50 C) 17/50 D) 19/50 E) None

Answer 0.38 = 38/100 = 19/50 Correct Option: 19/50 <result>D</result>

D

Convert 0.38 in to a vulgar fraction ?

aqua_rat__8pVLSkee2m4250vK

A worker is paid x rupees for painting every 25 metres of a wall and y rupees for painting every extra metre. During one week, he painted 25 metres on Monday, 50 metres on Tuesday, 25 metres on Wednesday, 45 metres on Thursday and 25 metres on Friday. What is his average daily earning rupees for the five day week? Select the correct option A) x + (8/5)y B) (5x + 9y)/5 C) x + 9y D) None of these E) Cannot be determined

Explanation : On Monday, the payment = Rs x On Tuesday, the payment = Rs (x + 25y) On Wednesday, the payment = Rs x On Thursday, the payment = Rs (x +20y) On Friday, the payment = Rs x Average daily earning during the five-day week = (5x + 45y)/5 = x + 9y Answer : x + 9y <result>C</result>

C

A worker is paid x rupees for painting every 25 metres of a wall and y rupees for painting every extra metre. During one week, he painted 25 metres on Monday, 50 metres on Tuesday, 25 metres on Wednesday, 45 metres on Thursday and 25 metres on Friday. What is his average daily earning rupees for the five day week?

aqua_rat__xUZEfC1wsyfLrb36

A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m? Pick A) 24000 B) 23000 C) 22000 D) 25000 E) 26000

25 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x 25 = 1/100 * x =&gt; x = 25000 ANSWER:25000 <result>D</result>

D

A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?

aqua_rat__MVdIn8Hd4KdJJPiH

If there are 200 questions in a 3 hr examination. Among these questions are 20 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems? Choose the most appropriate option A) 72 min B) 62 min C) 70 min D) 32.72727 min E) 76 min

x=time for type B prolems 2x=time for type A problem total time=3hrs=180min 180x+20*2x=180 x=180/220 x=0.818182 time taken for type A problem=20*2*0.818182=32.72727min ANSWER:32.72727 min <result>D</result>

D

If there are 200 questions in a 3 hr examination. Among these questions are 20 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems?

aqua_rat__2BQTVAHqax7UuNQ6

A runs twice as fast as B and gives B a start of 42m.How long should the racecourse be so that A and B might reach in the same time? Choices. A) 75 m. B) 80 m. C) 84 m. D) 100 m. E) None of the above

ratio of speeds of a and b is 2:1 b is 42m away from a but we know that a covers 1 meter(2-1) more in every second than b the time taken for a to cover 42m is 42/1= <gadget id="calculator"> 42/1</gadget> <output>42</output> 42m so the total time taken by a and b to reach=2*42= <gadget id="calculator">2*42</gadget> <output>84</output> 84m ANSWER:84 m. <result>C</result>

C

A runs twice as fast as B and gives B a start of 42m.How long should the racecourse be so that A and B might reach in the same time?

aqua_rat__mlnyEBN0yQJqM8Ky

The speed of a boat in still water in 22 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 24 minutes is: Select: A) 10.6 B) 10.2 C) 10.8 D) 10.4 E) 10.0

Speed downstream = (22 + 5)= <gadget id="calculator">(22 + 5)</gadget> <output>27</output> 27 kmph Time= 24 minutes =24/60 hour = 2/5 hour Distance travelled = Time × speed =2/5×27 = 10.8 km Answer is 10.8. <result>C</result>

C

The speed of a boat in still water in 22 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 24 minutes is:

aqua_rat__b3nrhQoosT3aeicW

A car that has an original value of $52,500 depricates $10000 in the first year and there original cost per year. What is its value after 8 years? Pick. A) $12100 B) $13100 C) $14100 D) $15100 E) $16100

1st year depreciation amount = 10000 next 7 year's depreciation amount = 7 * 8% original cost price = 7*8/100 * 52500= <gadget id="calculator">7*8/100 * 52500</gadget> <output>29_400</output> 29400 Total depreciation amount= 39400 Value after 8 years = $13100 ANSWER:$13100 <result>B</result>

B

A car that has an original value of $52,500 depricates $10000 in the first year and there original cost per year. What is its value after 8 years?

aqua_rat__oJiCNfvVgP63TyWQ

Which of the following is an integer? I. 13! / 6! II. 13! / 8! III. 13! / 7!5! Choose the correct choice from the following. A) I only B) II only C) III only D) I and II only E) I, II and III

13!/6! = 13*12*11*10*9*8*7 which is an integer. 13!/8! = 13*12*11*10*9 which is an integer. 13!/7!5! = 13*12*11*10*9*8 / 5*4*3*2 = 13*12*11*3*2 which is an integer. The answer is I, II and III. <result>E</result>

E

Which of the following is an integer? I. 13! / 6! II. 13! / 8! III. 13! / 7!5!

aqua_rat__vfZHW3r0Zyx87y3m

If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 6, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three? Choose the correct choice from the following options. A) 1/3 B) 1/4 C) 1/5 D) 1/6 E) 1/7

1/3 <result>A</result>

A

If a computer program generates three-digit odd numbers using the numbers 9, 7, 0, 6, and 1, and the digits can be repeated, what is the probability that the number formed from the program is a multiple of three?

aqua_rat__bPgZHA6rpkg1REJ3

Last year the range of the annual sales of the 100 lamps at Company X was $30,000. If the annual sale of each of the 100 lamps this year is 10 percent greater than it was last year, what is the range of the annual sales of the 100 lamps this year? Choose the correct answer: A) $27,000 B) $30,000 C) $33,000 D) $36,000 E) $63,000

let the lowest sale be x. Therefore, highest sale is x +30000. Now sale of each lamp is increased by 10%. Therefore the sale will remain arranged in the same order as before. or Lowest sale = 1.1x and Highest = 1.1 * (x+30000) or Range = highest - lowest = 1.1 * (x+30000) - 1.1x = 33000, Hence, $33,000 <result>C</result>

C

Last year the range of the annual sales of the 100 lamps at Company X was $30,000. If the annual sale of each of the 100 lamps this year is 10 percent greater than it was last year, what is the range of the annual sales of the 100 lamps this year?

aqua_rat__9S3S0U2U2kfe2vP9

A sum of 1200 lent at S.I at 10% will become twice in how many years? Choose the correct answer: A) 12 years B) 14 years C) 10 years D) 8 years E) 6 years

Explanation: To become twice means S.I should be as much as initial sum i.e, 1200 (1200 x 10 x T)/100 = 1200 T = 10 years Answer: Option 10 years <result>C</result>

C

A sum of 1200 lent at S.I at 10% will become twice in how many years?

aqua_rat__8upBEiMvx4oTKmCg

If the sum of two positive integers is 12 and the difference of their squares is 48, what is the product of the two integers? Pick one: A) 32 B) 119 C) 128 D) 135 E) 143

Let the 2 positive numbers x and y x+ y = 12 -- 1 x^2 - y^2 = 48 =&gt; (x+y)(x-y)=48 -- 2 Using equation 1 in 2 , we get =&gt; x-y = 4 -- 3 Solving equation 1 and 3 , we get x= 8 y= 4 Product = 8*4= <gadget id="calculator">8*4</gadget> <output>32</output> 32 32nswer 32 <result>A</result>

A

If the sum of two positive integers is 12 and the difference of their squares is 48, what is the product of the two integers?

aqua_rat__7AeKa2zgz0iaPVOa

The output of a factory was increased by 15% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output? Choose the correct choice. A) 20% B) 27% C) 30% D) 32% E) 79%

The original output increases by 15% and then 20%. Total % change = a + b + ab/100 Total % change = 15 + 20 + 15*20/100= <gadget id="calculator">15 + 20 + 15*20/100</gadget> <output>38</output> 38% Now, you want to change it to 0, so, 0= 38 + x + 38x/100 x = -38(100)/138 = 27% approximately Answer is 27% <result>B</result>

B

The output of a factory was increased by 15% to keep up with rising demand. To handle the holiday rush, this new output was increased by 20%. By approximately what percent would the output now have to be decreased in order to restore the original output?

aqua_rat__jE4WLNObzzIZz3ZD

In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. The product of all the points he received was 53900. How many times did he participate in the competition? Pick one: A) 7 B) 8 C) 9 D) 10 E) 11

53900 = 2*2*5*5*7*7*11 John participated 7 times. The answer is 7. <result>A</result>

A

In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. The product of all the points he received was 53900. How many times did he participate in the competition?

aqua_rat__jcaAk4JTLS3PjvBs

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is Choose the most appropriate option. A) 9 years B) 19 years C) 29 years D) 39 years E) None

Solution Let B's present age = x years. Then, A's present age ‹=› (x + 9) years. ∴(x + 9) + 10 = 2 (x - 10) ‹=› x + 19 = 2x - 20 ‹=› x = 39. Answer 39 years <result>D</result>

D

In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is

aqua_rat__SDepUHbOIsfCp8h1

Let x and y be positive integers, and r and s be single-digit positive integers. If x/y = r.sss, where the bar below the s indicates that the decimal repeats infinitely, which of the following CANNOT be true?= Pick: A) y = 1.2 × 10^a, where a is a positive integer. B) y = 1.5 × 10^b, where b is a positive integer. C) y = 1.8 × 10^c, where c is a positive integer. D) y = 2.5 × 10^d, where d is a positive integer. E) y = 2.7 × 10^e, where e is a positive integer.

Concentrating only on the answer choices, only option D is not a multiple of 3. The rest of them are multiples of 3, thats a common trend in other answer choices. With this logic can we say that Option y = 1.2 × 10^a, where a is a positive integer. is correct answer? <result>A</result>

A

Let x and y be positive integers, and r and s be single-digit positive integers. If x/y = r.sss, where the bar below the s indicates that the decimal repeats infinitely, which of the following CANNOT be true?=

aqua_rat__8vl0Grov3sC0ioOs

A cycle is bought for Rs.900 and sold for Rs.1170, find the gain percent? Answers: A) 27% B) 20% C) 80% D) 30% E) 24%

900 ---- 270 100 ---- ? =&gt; 30% Answer: 30% <result>D</result>

D

A cycle is bought for Rs.900 and sold for Rs.1170, find the gain percent?

aqua_rat__SzySpTvW56HFSCIZ

A person has three children with at least one boy. Find the probability of having at least two boys among the children. Choose the correct choice: A) 3/4 B) 1/3 C) 2/3 D) 1/4 E) 1/5

Explanation : The event is occuring under the following situations: Second is a boy and third is a girl OR Second is a girl and third is a boy OR Second is a boy and third is a boy This will be represented by: (1/2) x (1/2) + (1/2) x (1/2) + (1/2) x (1/2) = 3/4 3/4nswer : 3/4 <result>A</result>

A

A person has three children with at least one boy. Find the probability of having at least two boys among the children.

aqua_rat__sJiL6RX127WRvcNa

39 persons can repair a road in 24 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work? Choose the most appropriate option: A) 10 B) 13 C) 14 D) 15 E) 26

Let the required number of days be x. Less persons, More days (Indirect Proportion) More working hours per day, Less days (Indirect Proportion) Persons 30 : 39 :: 12 : x Working hours/day 6 : 5 30 x 6 x x = 39 x 5 x 24 x = (39 x 5 x 24)/(30 x 6) x = 26. ANSW26R:26 <result>E</result>

E

39 persons can repair a road in 24 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

aqua_rat__CxuefP1de0zQC0Sq

P software has coding line 5% more than N, N software has coding line 4/20 more than M. M software has 80 lines of coding. find P lines. Options A) 101 B) 107 C) 108 D) 109 E) 110

M s/w has 80 line of code N s/w has = 80+80*4/20= <gadget id="calculator">80+80*4/20</gadget> <output>96</output> 96 line of code P s/w 5% more N' code 96+4.8= <gadget id="calculator">96+4.8</gadget> <output>100.8</output> 100.8 or 101 line of code 101NSWER:101 <result>A</result>

A

P software has coding line 5% more than N, N software has coding line 4/20 more than M. M software has 80 lines of coding. find P lines.

aqua_rat__nLiOIFAWALOjBhFm

Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time? Choose the correct choice from the following answers. A) 2 years B) 6 years C) 8 years D) 3 years E) 9 years

9261 = 8000(21/20)N (21/20)3 = (21/20)N =&gt; N = 3 Answer:3 years <result>D</result>

D

Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?

aqua_rat__6m6SbiXy0teNmZ3B

The ratio of the incomes of Uma and Bala is 4:3 and the ratio of their expenditure is 3:2. If at the end of the year, each saves $5000 then the income of Uma is? Choose the correct option. A) $24000 B) $23000 C) $22000 D) $21000 E) $20000

Let the income of Uma and Bala be $4x and $3x Let their expenditures be $3y and $2y 4x-3y = 5000-------1) 3x-2y = 5000-------2) From 1) and 2) x = 5000 Uma's income = 4x = 4*5000= <gadget id="calculator">4*5000</gadget> <output>20_000</output> $20000 Answer is $20000 <result>E</result>

E

The ratio of the incomes of Uma and Bala is 4:3 and the ratio of their expenditure is 3:2. If at the end of the year, each saves $5000 then the income of Uma is?

aqua_rat__hfA50VLYHZVAEp74

A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 15days, A finished the remaining work. In how many days A alone can finish the job? Choose the correct choice from the following A) 10 B) 25 C) 60 D) 30 E) 20

A+B 10days work = 10*1/40 + 10= <gadget id="calculator">+ 10</gadget> <output>10</output> 10*1/40= 1/4 Remaining work = 1-1/4 = 3/4 3/4 work is done by A in 15days whole work will be done by A in 15*4/3= <gadget id="calculator">15*4/3</gadget> <output>20</output> 20days Answer is 20 <result>E</result>

E

A and B can together finish a work in 40days. They worked together for 10days and then B left. After another 15days, A finished the remaining work. In how many days A alone can finish the job?

aqua_rat__82k4Afb2sacICRQh

The number of years of service of the eight employees in a production department are 15, 10, 9, 19, 6, 4, 14 and 16. What is the range in the number of years of service of the eight employees? Choose the correct answer. A) 10 B) 11 C) 12 D) 13 E) 15

= 19-4= <gadget id="calculator">19-4</gadget> <output>15</output> 15 Answer 15 <result>E</result>

E

The number of years of service of the eight employees in a production department are 15, 10, 9, 19, 6, 4, 14 and 16. What is the range in the number of years of service of the eight employees?

aqua_rat__VQIAIsaYgXLZ2AbL

From the set of numbers {p, t, u, v, w, x, y, z}, how many different combinations can we have without the t or the u in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x) Choose the correct choice from the following choices. A) 16 B) 31 C) 32 D) 63 E) 64

Any letter (p, v, w, x, y, z) can be included or not. Thus there are 2^6 combinations - 1 empty combination = 63 combinations The answer is 63. <result>D</result>

D

From the set of numbers {p, t, u, v, w, x, y, z}, how many different combinations can we have without the t or the u in them? Ex:. (x,y), (x), (w,z,y,x), etc... and note that (x,y)=(y,x)

aqua_rat__ZAX0pVZipHsloUPp

650 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ? Choose the correct choice from the following: A) a) 162 B) b) 138 C) c) 60 D) d) 38 E) e) 13

Passed in english = 65% Passed in maths = 55% Passed in both = 40% of 55% = 2/5 * (55%) = 22% Passed in (e) 13nglish + Maths - Both + Neither) 2/5 * (55 )= <gadget id="calculator">2/5 * (55 )</gadget> <output>22</output> 22% Passed in (e) 13nglish + Maths - Both + Neither)= 100% 65 + 55 - 22 + Neither = 100 Neither = 100 - 98= <gadget id="calculator">100 - 98</gadget> <output>2</output> 2%= 0.02 * 650= <gadget id="calculator">0.02 * 650</gadget> <output>13</output> 13 Answer: e) 13 <result>E</result>

E

650 students took the test on English and Maths. 35% students failed in english and 45% failed in maths. 40% of those who passed in maths also passed in english, then how many students failed in both ?

aqua_rat__3YCxuRCScf3rlzgN

Which of the following is always true for any real number 'a' and 'b'? Choose the correct choice from the following. A) |ab| = |a||b| B) |a/b| = |a|/|b| C) |-ab| < |a||b| D) |ab| > |a/b| E) |ab| = -|ab|

This one is obvious if you know how absolute value works. One of the fundamental principles of absolute value is multiplicativeness, which holds that for absolute values, f(ab) = f(a) f(b). Thus the answer is |ab| = |a||b|. <result>A</result>

A

Which of the following is always true for any real number 'a' and 'b'?

aqua_rat__1WHBh9JVZBbwVEKq

The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year? Choose the most appropriate option. A) 8981 B) 3799 C) 1200 D) 2693 E) 1732

P --- 10 ---- 600 P --- 5 ----- 300 3P --- 5 ----- 900 ------ =&gt; 1200 Answer: 1200 <result>C</result>

C

The simple interest on a sum of money will be Rs.600 after 10 years. If the principal is trebled after 5 years what will be the total interest at the end of the tenth year?

aqua_rat__QqgnQTc1cll5nKud

How many ounces of a 60% salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt? Choose the correct choice from the following: A) 16.67 B) 30 C) 50 D) 60.33 E) 70

let x=ounces of 60% salt solution to be added .2*70+.6x=.4(70+x) x=70 Answer 70 <result>E</result>

E

How many ounces of a 60% salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?

aqua_rat__rBPbgCJKKN6lts1I

A field is 90 metre long and 50 metre broad. A 25 metre long, 20 metre broad and 4 metre deep tank dug in the field and the earth taken out is spread evenly over the remaining field. How much the level of field will rise? Choices. A) 0.5 metre B) 0.3 metre C) 0.8 metre D) 0.6 metre E) 0.7 metre

0.5 metrerea of field = 90 x 50 = 4500 m2 0.5 metrerea of field dug out = 25 x 20 = 500 m2 Therefore, 0.5 metrerea of remaining field = 4500 m2 - 500 m2 = 4000 m2 Volume of the earth dug out = 25 x 20 x 4 = 2000 m3 Therefore, Field will rise by 2000/4000= <gadget id="calculator"> 2000/4000</gadget> <output>1/2 = around 0.5</output> 0.5 metre 0.5 metrenswer 0.5 metre <result>A</result>

A

A field is 90 metre long and 50 metre broad. A 25 metre long, 20 metre broad and 4 metre deep tank dug in the field and the earth taken out is spread evenly over the remaining field. How much the level of field will rise?

aqua_rat__OyX55zYTGC9TVZVB

A shopkeeper purchased 70 kg of potatoes for Rs.420 and sold the whole lot at the rate of Rs 6.50 per kg .What will be his gain percent? Options. A) 8 1/9 B) 8 1/1 C) 8 1/3 D) 8 1/7 E) 8 1/4

Explanation: Price per 1 kg = 4207042070 = Rs.6. Profit per 1 kg = Rs.6.5 – Rs.6 = Rs.0.5 Profit for 70 kg = 0.5 × 70 = Rs.35 Gain % = 3542035420 × 100= 8.33% = 8 1/3 Answer: 8 1/3 <result>C</result>

C

A shopkeeper purchased 70 kg of potatoes for Rs.420 and sold the whole lot at the rate of Rs 6.50 per kg .What will be his gain percent?

aqua_rat__HsnoXdZNJdFGY9D0

Perimeter of rhombus is equal to perimeter of circle. Longest distance between two points in rhombus is 80. Area of rhombus is 2400 cm^2. Find area of circle. Options: 10000, 62500, 2500, one more I don't Remember. Choose the correct choice from the following choices. A) 3284.28678 B) 3184.28678 C) 3084.28678 D) 4184.28678 E) 2184.28678

Let Diagonals of Rhombus are p,q and side is a . Let Longest side is one of the p and q, let its p=80; Area of a Rhombus is A =p*q/2 A=2400 2400=80 *q /2 4800=80q=&gt; q=60 4a^2 =60^2 + 80^2 4a^2=10,000=&gt; a=&gt;50 Given: Perimeter of R = Perimeter of Circle 4a = 2*3.14* r=&gt; r=31.84 Area of circle = 3.14* r^2 = 3184.28678 ANSWER:3184.28678 <result>B</result>

B

Perimeter of rhombus is equal to perimeter of circle. Longest distance between two points in rhombus is 80. Area of rhombus is 2400 cm^2. Find area of circle. Options: 10000, 62500, 2500, one more I don't Remember.

aqua_rat__PFRyvdbxsqV8ijt2

The simple interest at y% for y years will be $y on a sum of Choose the correct choice from the following answers. A) $ (1000)/x B) $(100)x^2 C) $ x D) $ (100)/y E) $ 100x

Principal =$(100*y)/(y*y)=$(100/y). Answer is $ (100)/y <result>D</result>

D

The simple interest at y% for y years will be $y on a sum of

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The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time? Pick. A) 6 2/3% B) 6 2/8% C) 6 7/3% D) 9 2/3% E) 6 2/5%

4/9 P = (P*R*R)/100 R = 20/3 = 6 2/3% 6 2/3%nswer:6 2/3% <result>A</result>

A

The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?

aqua_rat__SNMl7KGmCHZd1Uy0

If 20 men take 15 days to to complete a job, in how many days can 20 men finish that work? Choose the correct choice from the following options: A) 15 B) 16 C) 17 D) 18 E) 19

Ans. 15 days <result>A</result>

A

If 20 men take 15 days to to complete a job, in how many days can 20 men finish that work?

aqua_rat__IDDckRW2vH2kGk0M

When a number is divided by 3 &then multiply by 12 the answer is 9 what is the no.? Choices: A) 4.5 B) 5 C) 2.25 D) 5.7 E) 6.5

if $x$ is the number, x/3 * 12 = 9 =&gt; 4x = 9 =&gt; x = 2.25 2.25 <result>C</result>

C

When a number is divided by 3 &then multiply by 12 the answer is 9 what is the no.?

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Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is: Choose the correct answer A) 17523 B) 2788 C) 1750 D) 2787 E) 29899

Explanation: 1750.I.= Rs.[4000*(1+10/100)^2-4000] =Rs.840 sum=Rs.(420 * 100)/3*8=Rs.1750\ Answer: 1750) Rs,1750 <result>C</result>

C

Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs. 4000 for 2 years at 10% per annum. The sum placed on simple interest is:

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A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 5)%. In terms of x, how many species of bacteria will the group be able to model? Choose the correct choice from the following choices: A) x*x – 5x B) (x)(105 – x) C) (100)(105 – x) D) (100)(95 – x) E) (x-5)/100

Let's say that x = 10 So 10% of 10,000 = 1,000 types of bacteria After the budget cuts, this 1,000 is reduced by (10-5)= <gadget id="calculator">(10-5)</gadget> <output>5</output> 5% 5% of 1,000= 50 1,000 - 50 = 950 Plug x=10 into the answers and find 950. Answer:(x)(105 – x) <result>B</result>

B

A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 5)%. In terms of x, how many species of bacteria will the group be able to model?

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A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 5 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B? Pick A) 2 B) 9 C) 15 D) 21 E) 30

Let the duration, in minutes, for which the company charges the same under plan A and plan B be t minutes. Then under plan A the cost would be $0.6+0.06(t-5) and under plan B the cost would be $0.08t. We want these amount to be equal: 0.6+0.06(t-5)=0.08t --&gt; 60+6(t-5)=8t --&gt; t=15. Answer: 15. <result>C</result>

C

A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 5 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B?

aqua_rat__IESP4bXuOLow2Pe9

Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 9 hours respectively. The ratio of their speeds is Choose the correct choice from the following: A) 3 : 2 B) 4 : 3 C) 4 : 7 D) 8 : 5 E) None

Sol. Let us name the trains as A and B. Then, (A's speed) : (B's speed) = √b : √a = √9 : √4 = 3 : 2. 3 : 2nswer 3 : 2 <result>A</result>

A

Two trains one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 9 hours respectively. The ratio of their speeds is

aqua_rat__2u0422WhRfSsrRxE

father is aged three times more than his son ronit. after 8 years, he would be two and half times if ronit's age. after further 8 years , how many times would he be of ronit's age? Choose the correct choice from the following choices: A) 2 times B) 2.5 times C) 3 times D) 3.8 times E) 4 times

ronit's present age be x years . then, father's present age= (x+3x)years= 4x years therefore (4x + 8) = 5/2 (x + 8) 8x + 16 = 5x + 40 3x = 24 , x= 8, ratio = (4x + 16)/(x + 16)= 48/24= <gadget id="calculator">48/24</gadget> <output>2</output> 2, correct answer (2 times) <result>A</result>

A

father is aged three times more than his son ronit. after 8 years, he would be two and half times if ronit's age. after further 8 years , how many times would he be of ronit's age?

aqua_rat__F7jd7iiq0DWcobOA

What is the perimeter, in meters, of a rectangular garden 16 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide? Choose the most appropriate option. A) 48 B) 56 C) 60 D) 56 E) 192

Say Length of garden is L meters. Then (L*16) = 16 * 12 [Given area is same. Area= L * B] Therefore L works out to 12 meters. Perimeter of Garden = 2* (12+16)= <gadget id="calculator">2* (12+16)</gadget> <output>56</output> 56 meter. Answer is 56 <result>D</result>

D

What is the perimeter, in meters, of a rectangular garden 16 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?

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To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took. Choose the correct choice from the following choices: A) 600 B) 500 C) 575 D) 655 E) 675

Let x be the number of days the company worked. Then 25x is the number of parts they planned to make. At the new production rate they made: 3⋅25+(x−3)⋅30=75+30(x−3) Therefore: 25x=75+30(x−3)−100 25x=75+30x−90−100 190−75=30x−25 115=5x x=23 So the company worked 23 days and they made 23⋅25+100=675 pieces. So answer is 675. <result>E</result>

E

To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced. Find how many parts the company made and how many days this took.

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In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies? Choices: A) 451 B) 124 C) 531 D) 145 E) 200

(3 men out 6) and (2 ladies out of 5) are to be chosen. Required number of ways = (6c3x5c2) = [6x5x4/3x2x1] x [5x4/2x1] = 200. Ans: 200 <result>E</result>

E

In how many ways, a committee of 5 members can be selected from 6 men and 5 ladies, consisting of 3 men and 2 ladies?

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For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[4] equivalent to? Choose the correct choice from the following options A) [108] B) [54] C) [36] D) [27] E) [18]

[9]*[4] = 27*2= <gadget id="calculator">27*2</gadget> <output>54</output> 54= (1/2)(108) =[108] The answer is [108]. <result>A</result>

A

For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[4] equivalent to?

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A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 890 in 4 years. The rate of interest per annum is? Pick: A) 2 1/2 % B) 4% C) 5% D) 6 2/3 % E) 11 1/4%

S.I. on Rs. 800 for 1 year = (890 - 800) = Rs.90 Rate = (100 * 90)/(800 * 1) = 11 1/4% ANSW11 1/4%R:11 1/4% <result>E</result>

E

A sum of money invested at C.I. amounts to Rs. 800 in 3 years to Rs. 890 in 4 years. The rate of interest per annum is?