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# Important Quantitative Aptitude Quiz with Solution for Competitive Exam

## Important Quantitative Aptitude Quiz for Competitive Exam

### Topic: Time & Work Important Quiz

Solution of All Questions is Given below

1 >>Q1. Deepa and Poonam can do a piece of work in 8 days. Deepa alone can do the work in 10 days. In how many days, can Poonam finish the work alone? ?
• (A) 40 days
• (B) 45 days
• (C) 50 days
• (D) 35 days
2 >>Q2. A is twice as fast as B and C together. If B and C can do the work in 10 and 30 days respectively, in how much time can A finish the work alone? ?
• (A) 3.33 days
• (B) 3.75 days
• (C) 3.66 days
• (D) 3.25 days
3 >>Q9. 8 cats can eat 8 mice in 8 minutes. How many cats can eat 6 mice in 16 minutes? ?
• (A) 8
• (B) 6
• (C) 3
• (D) 4
4 >>Q10. P can do a work in 24 days and Q can do the work in 21 days. P starts the work and works for 9 days, then Q also joins P. In how many days in all, will the work be completed? ?
• (A) 17
• (B) 15
• (C) 16
• (D) 18

5 >>Q11. P and Q can do a piece of work in 15 days, Q and R can do the work in 20 days. P and R can do the work in 12 days. In how many days can P finish the work? ?
• (A) 18
• (B) 20
• (C) 17
• (D) 22
6 >>Q12. 12 rabbits can eat 12 carrots in 12 minutes. In how many minutes can 4 rabbits eat 4 carrots? ?
• (A) 10
• (B) 12
• (C) 8
• (D) 4
7 >>Q13. 5 men can do a piece of work in 10 days and 6 women can do the same work in 15 days. In how many days can 2 men and 3 women together do the work? ?
• (A) 12.818
• (B) 13.182
• (C) 13.637
• (D) 12.454
8 >>Q14. P is 60% more efficient than Q. If P alone can do the work in 20 days, in how many days, can Q finish the work alone? ?
• (A) 32
• (B) 22.5
• (C) 28
• (D) 12.5
9 >>Q15. One man can load 3 boxes in 12 minutes. How many trucks can 12 men load completely in 1 hour given that each truck can hold 8 boxes? ?
• (A) 24
• (B) 21
• (C) 23
• (D) 22
10 >>Q16. C takes 2 times as long as A and B together take to complete a piece of work. Working together A, B and C can complete the work in 15 days. In what time can C alone do the work? ?
• (A) 40 days
• (B) 54 days
• (C) 50 days
• (D) 45 days

## Quantitative Aptitude Quiz

11 >>Q17. A sum of money is sufficient to pay A's wage for 16 days or B's wage for 12 days. For how many days is the sum sufficient to pay the wages for both A and B? ?
• (A) 5.71428571428571
• (B) 6.71428571428571
• (C) 5.85714285714286
• (D) 6.85714285714286

12 >>Q18. A and B can complete a piece of work in 12 and 15 days respectively. They began to work together, but A left the work after 4 days due to illness. In how many days B alone will finish the remaining work? ?
• (A) 6 days
• (B) 7 days
• (C) 8 days
• (D) 9 days
13 >>Q19. A, B and C can do a piece of work in 48, 36 and 12 days respectively. A started the work, after m days B joins him and after m more days C joins them and the work is completed in 12 days. What is the value of m? ?
• (A) 5
• (B) 4
• (C) 3
• (D) 2
14 >>Q21. A hostel of 630 men has provisions for 24 days when consumption is 2 kg per day per man. For how many days are the provisions sufficient for 360 men at the rate of 3 kg per day per two men? ?
• (A) 56
• (B) 44
• (C) 52
• (D) 48
15 >>Q22. 1 man can load 1 box in a truck in 8 minutes and the truck can hold 6 boxes. How many truck are completely loaded by 16 men in 1 hour 10 minutes? ?
• (A) 25
• (B) 24
• (C) 22
• (D) 23

### Topic: Progression Important Quiz

1 >>Q3. The sum of the 3rd term and the 60th term of an P. is 60. If it has 62 terms. What will be the sum of all its terms? ?
• (A) 1922
• (B) 1891
• (C) 1829
• (D) 1860
2 >>Q4. The sum to infinity of the series 1, 2, 4, 8, is _____. ?
• (A) Does not exist
• (B) 1
• (C) 0
• (D) -1
3 >>Q5. The sum of first twenty terms of an arithmetic progression is 210. What will be the sum of its 10th and 11th term? ?
• (A) 56
• (B) 28
• (C) 21
• (D) 42
4 >>Q6. In a motorcycling race, initially 3 members are disqualified then 6 and then 9 and so on. At a certain particular stage, 183 members are disqualified. What will be the total number of motor cyclist disqualified in the race? ?
• (A) 5643
• (B) 5640
• (C) 2928
• (D) 5673
5 >>Q7. The sum of infinity of the terms of a G.P. is 120. The sum to infinity of the squares of the terms of the same G.P. is 2880. What will be the series? ?
• (A) 20, 20/7, 180/14, ....
• (B) 40, 80/3, 160/9, ...
• (C) 8, 16/3, 32/9, ...
• (D) None of these
6 >>Q9. How many three digit numbers have their digits distinct and in G.P. with an integral common ratio? ?
• (A) 4
• (B) 6
• (C) 12
• (D) 3
7 >>Q10. The sum of three numbers in an P. is 36. The sum of their squares is 440. What will be the largest among the three numbers? ?
• (A) 18
• (B) 16
• (C) 14
• (D) 12
8 >>Q11. The first term of an arithmetic progression is 5 and its last term is 55. If the sum of the terms of the P. is 720, the common difference is ________. ?
• (A) 23/50
• (B) 23
• (C) 50
• (D) 50/23
9 >>Q16. In a G.P. of positive terms, the difference of 9th and 8th terms is 896, and the difference of 2nd and 1st is 7. What will be the sum of first 7 terms of the series? ?
• (A) 883
• (B) 887
• (C) 885
• (D) 889
10 >>Q18. The first term of an P. consisting of 30 terms is 10 and the common difference is 5. What will be the ratio of the sum of 30 terms of the progression and the sum of the last 20 terms of the progression? ?
• (A) 99:89
• (B) 99:83
• (C) 99:80
• (D) 99:86

11 >>Q19. Ankit and Ashok start saving money in a certain month of a year. Every month from then on, Ankit increased his savings by an amount equal to the savings of Ashok in the first month and Ashok increased his savings by an equal amount to the savings of Ankit in the first month. In 20 months the total of the amounts saved by both is equal to 2100, what will be the amount saved by Ankit in the second month? ?
• (A) Rs.10.5
• (B) Rs.l4
• (C) Rs.8
• (D) Cannot be determined
12 >>Q20. The first term of an infinite G.P. is 16. A new series is formed by cubing each term of the series. Now, each term of the new series is 7 times the sum of all the terms following it. What will be the sum to infintiy of the old progression? ?
• (A) 32
• (B) 18
• (C) 21
• (D) 24
13 >>Q23. How many numbers between 450 and 950 are divisible by both 3 and 7? ?
• (A) 35
• (B) 20
• (C) 24
• (D) 30
14 >>Q24. Sushant spent in the following manner. On the first day a month, he spent Rs. 100. On the second day of the month, he spent Rs. 200. On the third day of the month, he spent Rs. 400. If he continued to spend in this manner, on what day his total spending in that month exceeds Rs. 1.1 lakhs? ?
• (A) 12th
• (B) 8th
• (C) 10th
• (D) 11th
15 >>Q25. A square T2 is formed by joining the mid points of the sides of another square T1 of the side 16 cm. A third square is formed by joining the mid points of the sides of T2. What will be the sum of the areas of all the squares formed by repeating this process infinity, including area of T1 ? ?
• (A) 864 cm²
• (B) 512 cm²
• (C) 1024 cm²
• (D) None of these
16 >>Q26. The sum of first four terms of a G.P. is 120. The sum of its first two terms is 12. What will be the first term, if all its terms are (+ ve) ? ?
• (A) 5
• (B) 4
• (C) 3
• (D) 2

### Topic: Pipe & Cistern Important Quiz

1 >>Q1.Pipe 'A' can fill A tank in 20 minutes. Pipe'A' and 'B' both are opened and after 6 minutes pipe 'A' is closed and pipe 'B' takes 15 minutes to fill the tank. In how many minutes, can pipe 'B' fill the tank? ?
• (A) 33
• (B) 30
• (C) 28
• (D) 35
2 >>Q2. Pipe 'A' can fill 12 litres per minute and pipe 'B' can fill 6 litres per minute. Pipe 'C' can empty a drum in 10 minutes. When all the three pipes are opened, the drum is filled in 15 minutes. What is the capacity of drum? ?
• (A) 114 litres
• (B) 110 litres
• (C) 108 litres
• (D) 105 litres
3 >>Q3. Pipe 'A' can fill a tank in 40 minutes and pipe 'B' can empty the tank 50 minutes. If both the pipes are opened together, then in what time is the tank filled? ?
• (A) 120 min
• (B) 150 min
• (C) 200 min
• (D) 170 min
4 >>Q4. Pipe 'A' can fill an empty tank in 3 hours less than the time in which pipe 'B', can empty a full tank. If both the pipes are opened together, the tank is filled in 60 hours. In how many hours can pipe 'A' fill the tank? ?
• (A) 24 hours
• (B) 15 hours
• (C) 18 hours
• (D) 12 hours
5 >>Q5. Pipe 'A' can fill a tank in 18 minutes. Pipe 'A' and 'B' can together fill the tank in 12 minutes. What is the capacity (in litres) of the tank, given that pipe 'B' can fill 15 litres per minute? ?
• (A) 540 litres
• (B) 480 litres
• (C) 270 litres
• (D) 350 litres
6 >>Q6. Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both pipes are opened together and after some time the first pipe is closed and the tank is full in totally 15 minutes. For how many minutes was first pipe open? ?
• (A) 7
• (B) 8
• (C) 6
• (D) 9
7 >>Q7. Pipe 'A' can fill a tank in 8 hours and pipe 'B' can empty the full tank in 15 hours. If the both pipes are opened together, in how much time will the tank become full? ?
• (A) 15
• (B) 14
• (C) 17
• (D) 16
8 >>Q8. Two pipes 'A' and 'B' can fill a tank in 24 minutes and 32 minutes respectively. Both the pipes are opened together, but after 4 minutes the second pipe is turned off. In how much time will the tank be completely filled by the first pipe? ?
• (A) 18 minutes
• (B) 16 minutes
• (C) 17 minutes
• (D) 15 minutes
9 >>Q9. Pipe 'A' can fill a cistern in 30 minutes and pipe 'B' in 40 minutes and pipe 'C' can empty the full cistern in 60 minutes. If all the pipes are opened together, then in how many minutes will it be full ? ?
• (A) 25
• (B) 26
• (C) 24
• (D) 27
10 >>Q12. If two pipes P and Q together can fill a tank in 6 hours and the pipe P only can fill the tank in 8 hours, how many hours will Q alone take to fill the tank? ?
• (A) 24 hours
• (B) 21 hours
• (C) 18 hours
• (D) 10 hours
11 >>Q14. Two pipes can fill a cistem in 8 hours and 10 hours respectively. A third pipe can empty the cistern in 5 hours. If all the three pipes are opened at the same time, how long will it take to fill the cistern? ?
• (A) 15 hours
• (B) 16 hours
• (C) 12 hours
• (D) 11 hours 12 >>Q15. Two taps can fill a cistern in 2 and 4 hours respectively. How much time after opening the both taps, second tap should be turned off so that the cistern be filled in 1 hour? ?
• (A) 1/3 hours
• (B) 1 hour
• (C) 2/3 hours
• (D) 2 hours
13 >>Q16. Two taps can fill a cistern in 6 minutes and 7 minutes respectively. If these taps are opened alternately for a minute, in what time will the cistern be filled? ?
• (A) 7 3/7 min.
• (B) 2 3/7 min.
• (C) 3 3/7 min.
• (D) 6 3/7 min.
14 >>Q17. A cistern can be filled by one of two pipes in 30 min. and by the other in 36 min. Both pipes are opened together for a certain time but being particularly clogged only 5/6 of the full quantity of water flows through the former and only 9/10 through the later. The obstructions, howevers, being suddenly removed the cistern is filled in 15 1/2 min. from that moment. How long was it before the full flow of water began? ?
• (A) 1/7 min.
• (B) 1/3 min.
• (C) 1/2 min.
• (D) 1 min.
15 >>Q18. P, Q, R are pipes attached to a cistern, P and Q can fill it in 20 and 30 min. respectively. While R can empty it in 15 min. If P, Q and R be kept open successively for 1 min. each, how soon will the cistern be filled? ?
• (A) 157 min.
• (B) 167 min.
• (C) 165 min.
• (D) 164 min.

### Pipe and Cistern

 1 Exp. Let pipe 'B' fill X parts of a tank in a minute. 2 Exp. In 15 minutes, amount of litres filled = 12x15 + 6x15 = 270 litres. 3 Exp. Pipe 'A' fills 1/40th of tank in a minute. 4 Exp. Let Pipe 'A' take X hours to fill the tank. 5 Exp. Let pipe 'B' take X minutes to fill the tank. 6 Exp. Let first pipe be open for X minutes. 7 Exp. Let X(in hours) be the time taken to fill the tank. 8 Exp. Amount of tank filled in 4 minutes by both A and B = 4/24 + 4/32 = 7/24. 9 Exp. Let X be the time taken for the tank to be full. 10 Exp. Let X be the time taken by pipe Q to fill the tank. 11 Exp. Let X be the time taken to fill the cistern. 12 Exp. Let X be the time both taps operate. 13 Exp. Amount filled in two minutes = 1/6 + 1/7 = 13/42. 14 Exp. Let X be the time the pipes were blocked. 15 Exp. Amount of cistern filled in 3 minutes = 1/20 + 1/30 - 1/15 = 1/60.

### Time and Work

 1 Exp. Amount of work done by Deepa in 8 days  0.8Amount of work done by Poonam in 8 daysTRUETime taken by Poonam to complete the work alone= 8x5= 40 days(to complete 2/10 x 5 = 1 work). 2 Exp. Number of days taken by B and C to complete the work together= 1/(1/10 + 1/30) = 7.5 days.A takes 7.5/2 = 3.75 days. 3 Exp. Let number of cats =(8 cats)x(8 minutes) / 8 mice= A x (16 minutes) / 6 mice.A = 3. 4 Exp. Amount of work completed by P in 9 daysTRUEWork to be completedTRUENumber of days required by P and Q to complete rest of the workTRUETotal number of days = 9 + 7 = 16. 5 Exp. Let time taken by P, Q and R alone to complete the work = A, B andWe have, (1/A + 1/B)0.066 1/B + 1/C0.051/A + 1/C0.083 Solving the three equations, A = 20. 6 Exp. Let A be the number of minutes required.(12 rabbits) x (12 minutes) / 12 carrots = (4 rabbits) x A / 4 carrots.A = 12. 7 Exp. Amount of work completed by one man in one day0.020.02Amount of work completed by one woman in one day0.01111111111111110.0111111111111111Amount of work done by 2 men and 3 women in one day0.07333333333333330.0733333333333333Number of days required to complete the job13.636363636363613.6363636363636= 13.637. 8 Exp. Let Q finish the work in A number of days.Since P is 60% more efficient than Q, 1.6/A = 1/20.A = 32. 9 Exp. Let A be the number of boxes 12men can load in 1hour (60 minutes).(1man)x(12minutes) / 3 boxes = (12men)x(60minutes) /A = 180, i.e. Number of trucks loaded = 180/8 = 22.5.Number of trucks loaded fully = 22. 10 Exp. Let A, B and C take X, Y and Z days to finish the work alone.Amount of work completed by C in a day = 1/Z.Amount of work completed by A and B together in a day = 1/X + 1/Y.We have, 2(1/Z) = (1/X + 1/Y)Number of days taken by A, B and C to finish the work together= 15days.1/(2/Z + 1/Z) = 15,Z = 45days. 11 Exp. Number of days the sum will be sufficient topay the wages for both A and B6.857142857142866.85714285714286= 6 6/7. 12 Exp. Amount of work completed in 4 days = 4/12 + 4/15 = 3/5.To complete the remaining 2/5th of the work, B requires (2/5) x 15 = 6 days. 13 Exp. Work done by A in m days = m/48.Work done by A and B in next m days = m/48 + m/36.Work done by A, B and C in remaining days = (12-2m)/48 + (12-2m)/36 + (12-2m)/12.m/48 + m/48 + m/36 + (12-2m)/48 + (12-2m)/36 + (12-2m)/12 = 1.m = 3. 14 Exp. Amount of provisions = 630 x 24 x 2 = 30240.Let A be number of days the provisions last in second case.360 x A x 3/2 = 30240.A = 56. 15 Exp. Let number of boxes loaded be(1man)x(8minutes) / (1box)= (16men)x(70minutes) / (A).A = 140.Number of trucks filled = 140/6 = 23.33.Number of trucks completely filled = 23.

### Progression Solution

 1 Exp. Sum of 3rd term and 60th term 2 Exp. Sum to infinity exists only for a descending GP. 3 Exp. Sum of first twenty terms of an P. 4 Exp. Sum of AP = (n/2)(2a + (n-1)d). 5 Exp. Let 'a' be the first term and 'r' be the common ratio. 6 Exp. Only three such three digit numbers exist, 124, 139, 248. 7 Exp. Let the three numbers be a-d, a , a+d. 8 Exp. Last term of AP = a + (n-1)d = 55. 9 Exp. Difference of 9th and 8th terms of a GP 10 Exp. Sum of 30 terms = (30/2)(2x10 + 29x5) = 2475. 11 Exp. Let amount saved by Ankit in first month = 12 Exp. a = 16. 13 Exp. Numbers between 450 and 950 are divisible by both 3 and 7 = (950-450)/(3x7) = 24. 14 Exp. Sum of GP = 1.1 lakhs. 15 Exp. Area of T2 is half of T1, area of T3 is half of T2. 16 Exp. a(r^4 - 1)/(r-1) = 120, a/(r-1) = 120/(r^4 - 1).