index

Average & Partnership

Q1. If the average of 40,10,25,20,35,x is 25 then the value of x is:

1) 20 2) 25 3) 30 4) 35 5) None

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Q2. The average age of 24 boys and their teacher is 15 years. When the teacher’s age is excluded the average age decreased by 1 year. The age of the teacher is

1) 38 2) 39 3) 40 4) 41 5) None

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Q3. The average of 30 numbers is 20. If two numbers, namely 38 and 30 are discarded then the average of the remaining numbers is:

1) 20 2) 19 3) 21 4) 22 5) None

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Q4. The average weight of 8 men is increased by 1.5 kg when one of the men who weigh 65 kg is replaced by a new man. The weight of the new man is:

1) 70kg 2) 74kg 3) 76kg 4) 77kg 5) None

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Q5. The mean of 100 items was found to be 30. If at the time of calculation two items were wrongly taken as 32 and 12 instead of 23 and 11, correct mean is:

1) 29.4 2) 29.5 3) 29.8 4) 29.9 5) None

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Q6. The average temperature of Monday, Tuesday, Wednesday and Thursday was 38⁰ C and that of Tuesday, Wednesday, Thursday and Friday was 40⁰ C. If the temperature on Monday was 30⁰ C, what was the temperature on Friday?

1) 40⁰ C 2) 39⁰ C 3) 38⁰ C 4) 30⁰ C 5) None

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Q7. Average of 15 numbers is 20. Out of them the average of first 8 numbers is 21 and the average of last 8 numbers is 18. The middle number is:

1) 21 2) 22 3) 23 4) 12 5) None

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Q8. Average of 9 numbers is 18. Out of them the average of first 4 numbers is 17 and the average of last 4 numbers is 20. The middle number is:

1) 15 2) 12 3) 13 4) 14 5) None

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Q9. A cricketer has completed 10 innings and his average is 21.5 runs. How many runs must he make in his next innings so as to raise average to 24?

1) 50 2) 49 3) 48 4)52 5) None

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Q10. A batsman makes a score of 98 runs in the 19^th inning and thus increases his average by 4. What is his average after 19^th inning?

1) 22 2) 24 3) 26 4) 28 5) None

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Q11. A man has bowling average is 12.4. In next match he takes 5 wickets for 26 runs and thereby his average decreases by 0.4. Find number of wickets taken by him before his last match:

1) 85 2) 78 3) 72 4) 90 5) None

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Q12. The average of marks scored by the students of a class is 68. The average of marks of the girls in the class is 80 and that of boys is 60. What is the percentage of boys in the class?

1) 40% 2) 60% 3) 65% 4) 70% 5) None

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Q13. Three years ago, the average age of a family of 5 members was 17 years. A baby being born after that, the average age of the family is the same today. What is the age of the baby?

1) 1 yr 2) 2 yrs 3) 1.5 yrs 4) 6 months 5) None

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Q14. Sum of 5 consecutive even numbers is 510. Find the product of second and fifth number.

1) 11500 2) 10600 3) 12100 4) 13500 5) None

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Q15. The average of the 6 consecutive numbers is 29.5. Find the sum of reciprocals of second and the sixth numbers.

1) 15/224 2) 16/304 3) 15/402 4) 17/304 5) None

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Q16. A, B and C invested Rs. 26000, Rs. 34000 and Rs. 10000 respectively in a business. At the end of the year, they earn a profit of Rs. 3500. B’s share of profit is:

1) 1200 2) 1500 3) 1700 4) 1900 5) None

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Q17. The average weight of 19 students is 15 kg. By the admission of a new student the average weight is reduced to 14.8 kg. The weight of new student is:

1) 10.6 2) 10.8 3) 11 4) 14.9 5) None

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Q18. The average weight of 8 persons is increased by 2.5 kg when one of them whose weight is 56 kg is replaced by a new man. The weight of new man is:

1) 66 2) 75 3) 76 4) 86 5) None

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Q19. Average of 11 numbers is 30. Out of them the average of first 6 numbers is 32 and the average of last 6 numbers is 29. The middle number is:

1) 21 2) 22 3) 36 4) 24 5) None

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Q20. A batsman has a certain average runs for 11 innings. In the 12^th inning, he made a score of 90 runs and thereby decreased his average by 5. His average after 12^th inning is:

1) 127 2) 145 3) 150 4) 217 5) None

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Q21. The sum of 5 consecutive odd numbers is 255. Find the product of first and fourth number.

1) 2491 2) 2443 3) 2929 4) 2471 5) None

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Q22. The average of 6 consecutive even numbers is 97. Find the average of the next 6 consecutive even numbers.

1) 107 2) 109 3) 111 4) 105 5) None

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Q23. Ram, Shyam and Kamal together started a business in partnership. The ratio of their capitals is 3:4:7. If their annual profit be Rs. 21000, what will be Kamal’s share in this profit?

1) 12500 2) 10500 3) 15000 4) 10000 5) None

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Q24. A is a working partner and B a sleeping partner in a business. A puts in Rs. 20000 and B Rs. 30000. A receives 20% of the profits for managing, the rest being divided in proportion to their capitals. Out of a total profit of Rs.50000 the money received by A is:

1) 26000 2) 24000 3) 30000 4) 20000 5) None

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Q25. Amit started a business investing Rs. 25000. After 3 months, Vinay joined him with a capital of Rs. 30000. At the end of the year they make a profit of Rs. 19000. What will be Amit’s share in the profit?

1) 9423 2) 10000 3) 12500 4) 13100 5) None

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Q26. A and B started a business with investments in the ratio 12:11 and their annual profits were in the ratio 4:1. If A invested the money for 11 months B invested the money for: (in months)

1) 3 2) 4 3) 5 4) 7 5) None

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Q27. A began a business with Rs. 4500 and was joined afterwards by B with Rs. 5400. If the profits at the end of the year were divided in the ratio 2:1, B joined the business after:

1) 4 months 2) 5 months 3) 6 months 4) 7 months 5) None

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Q28. A,B and C start a business each investing Rs. 20000. After 5 months A withdrew Rs. 5000, B Rs. 4000 and C invested Rs. 6000 more. At the end of the year a total profit of Rs. 69900 was recorded. What is share of B?

1) 20500 2) 21200 3) 27300 4) 28200 5) None

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Q29. A and B enter into a partnership. A invests Rs. 16000 for 8 months and B remains in the business for 4 months. Out of a total profit, B claims 2/7 of the profit. How much money was contributed by B?

1) 11900 2) 10500 3) 13600 4) 12800 5) None

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Answers

1) 1 2) 1 3) 2 4) 4 5) 4 6) 3

7) 4 8) 4 9) 2 10) 3 11) 1 12) 2

13) 2 14) 2 15) 1 16) 3 17) 3 18) 3

19) 3 20) 2 21) 1 22) 2 23) 2 24) 1

25) 2 26) 1 27) 4 28) 2 29) 4

Time, Work & Pipes

Q1. 16 men can reap a field in 30 days. In how many days will 20 men reap the field? (In days)

1) 25 2) 24 3)10 4) 37 5) None

Q2. 8 men working for 9 hrs a day complete a piece of work in 20 days. In how many days can 7 men working for 10 hrs a day complete the same piece of work?

1) 20 2) 20 3) 21 4) 21 5) None

Q3. If 3 persons weave 336 shawls in 14 days how many shawls will 8 persons weave in 5 days?

1) 180 2) 210 3) 252 4) 320 5) None

Q4. If 5 spiders can catch 5 flies in 5 minutes, how many flies can 100 spiders catch in 100 minutes?

1) 100 2) 500 3) 1000 4) 40 5) None

Q5. A garrison of 200 men had provisions for 50 days. After 5 days a reinforcement of 100 men arrived. The remaining food will now last for how many days?

1) 25 2) 36 3) 30 4) 28 5) None

Q6. A garrison had provisions for a certain number of days. After 10 days, 1/5 of the men desert (leave) and it is found that the provisions will now last just as long as before. How long was that? (In days)

1) 15 2) 25 3) 35 4)50 5) None

Q7. A can do a piece of work in 8hrs while B alone can do it in 12hrs. Both A and B working together can finish the work in:

1) 10 hrs 2) 4 hrs 3) 5 hrs 4) 4 hrs 5) None

Q8. A can do a piece of work in 10 day while B alone can do it in 12 day and C alone can do it in 15 day. A, B and C working together can finish the work in: (in days)

1) 8 2) 4 3) 5 4) 4 5) None

Q9. Ram and Shyam together can finish a job in 8 days. Ram can do the same job on his own in 12 days. How long will Shyam take to do the job by himself? (In days)

1) 60 2) 20 3) 40 4) 30 5) None

Q10. A can do a work in 15 days, B can do it in 20 days and A, B and C can do it in 8 days. C alone can do the work in.

1) 50 days 2) 60 days 3) 40 days 4) 30 days 5) None

Q11. A can do of work in 5 days and B can do of the work in 10 days. In how many days both A and B together can do the work?

1) 7 2) 8 3) 9 4) 10 5) None

Q12. A does 20% less work than B. If A can complete a piece of work in7 hours, then B can do it in

1) 5 hours 2) 5 hours 3) 6 hours 4) 6 hours 5) None

Q13. A works twice as fast as B. If both of them can together finish a piece of work in 12 days, then B alone can do it in:

1) 24 days 2) 27 days 3) 36 days 4) 48 days 5) None

Q14. To complete a work, A takes 50% more time than B. If together they take 18 days to complete the work, how much time shall B take to do it?

1) 30 days 2) 35 days 3) 40 days 4) 45 days 5) None

Q15. A is thrice as good a workman as B and therefore A is able to finish a job in 60 days less than B. Working together, they can do it in

1) 20 days 2) 22 days 3) 25 days 4) 30 days 5) None

Q16. A can do a piece of work in 20 days which B alone can do in 12 days. B worked at it for 9 days. A can finish the remaining work in

1) 3 days 2) 5 days 3) 7 days 4) 11 days 5) None

Q17. A can do a piece of work in 10 days, B can do it in 15 days and C can do it in 20 days. They start the work together. But, after 2 days A leaves off and 1 day after that C leaves off. B will do the remaining work. In how many days work gets completed?

1) 8 days 2) 4 days 3) 9 days 4) 8 days 5) None

Q18. A can do a piece of work in 12 days, B in 15 days and C in 20 days. They start the work together. But, after 3 days, A leaves off and B left 3 days before the completion of the work. In how many days work gets completed?

1) 8 days 2) 4 days 3) 9 days 4) 8 days 5) None

Q19. 8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?

1) 16 days 2) 12 days 3) 18 days 4) 15 days 5) None

Q20. If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in:

1) 21 days 2) 24 days 3) 26 days 4) 33 days 5) None

Q21. 8 men can do a piece of work in 15 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 8 women and 30 children together complete the piece of work?

1) 5 days 2) 15 days 3) 4 days 4) 6 days 5) None

Q22. A and B together can complete a piece of work in 12 days, B and C can do it in 20 days and C and A can do it in 15 days. A, B and C together can complete it in

1) 6 days 2) 9 days 3) 10 days 4) 10 days 5) None

Q23. A and B together can complete a piece of work in 24 days, B and C can do it in 40 days and C and A can do it in 30 days. A, B and C alone can complete it in

1) 40, 60, 120 2) 90, 50, 60 3)40, 120, 60 4)70, 50, 80 5) None