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- Question
39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
Options- A. 10
- B. 13
- C. 14
- D. 15
- Correct Answer
- 13
ExplanationLet the required number of days be x.
Less persons, More days (Indirect Proportion)
More working hours per day, Less days (Indirect Proportion)
=> 30 * 6 * x = 39 * 5 * 12
=> x= 13
- 1. A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?
Options- A. 3
- B. 5
- C. 6
- D. 9 Discuss
- 2. If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Options- A. 1
- B. 3
- C. 7
- D. 14 Discuss
- 3. 2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days. Then, 8 men and 6 boys can do three times the amount of this work in
Options- A. 18 days
- B. 21 days
- C. 24 days
- D. 30 days Discuss
- 4. If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it?
Options- A. 40
- B. 50
- C. 60
- D. 70 Discuss
- 5. A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
Options- A. 75
- B. 82
- C. 100
- D. 110 Discuss
- 6. 3 pumps working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
Options- A. 9
- B. 10
- C. 11
- D. 12 Discuss
- 7. If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?
Options- A. 22
- B. 14
- C. 13
- D. 11 Discuss
- 8. 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
Options- A. 24 days
- B. 28 days
- C. 34 days
- D. 35 days Discuss
- 9. If a quarter kg of carrots costs 60 paise, how many paise will 200 gms cost ?
Options- A. 78 paise
- B. 48 paise
- C. 54 paise
- D. 62 paise Discuss
- 10. The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero ?
Options- A. 14th element
- B. 9th element
- C. 12th element
- D. 7th element Discuss
Chain Rule problems
Search Results
Correct Answer: 5
Explanation:
[(100 x 35) + (200 x 5)]men can finish the work in 1 day
Therefore, 4500 men can finish the work in 1 day. 100 men can finish it in 4500/100= 45 days.
This is 5 days behind Schedule
Correct Answer: 7
Explanation:
Let the required number days be x.
Less spiders, More days (Indirect Proportion)
Less webs, Less days (Direct Proportion)
=> 1 * 7 * x = 7 * 1 * 7
=> x= 7
Correct Answer: 21 days
Explanation:
(2 x 14) men +(7 x 14) boys = (3 x 11) men + (8 x 11) boys
=>5 men= 10 boys => 1man= 2 boys
Therefore, (2 men+ 7 boys) = (2 x 2 +7) boys = 11 boys
( 8 men + 6 boys) = (8 x 2 +6) boys = 22 boys.
Let the required number of days be x.
More boys , Less days (Indirect proportion)
More work , More days (Direct proportion)
Therefore, (22 * 1 * x) = (11 * 3 * 14)
=> x = 21
Hence, the required number of days = 21
Correct Answer: 60
Explanation:
Let the required no of hours be x. Then
Less men , More hours (Indirct Proportion)
Therefore, 15:36 ::25:x
=> (15 x X)=(36 x 25) => x = 60
Hence, 15 men can do it in 60 hours.
Correct Answer: 110
Explanation:
Originally let there be x men.
Less men, More days (Indirect Proportion)
Therefore, (x-10) : x :: 100 :110
=> (x - 10) * 110 = x * 100 => x= 110
Correct Answer: 12
Explanation:
Let the required no of working hours per day be x.
More pumps , Less working hours per day (Indirect Proportion)
Less days, More working hours per day (Indirect Proportion)
=> (4 * 1 * x) = (3 * 2 * 8)
=> x=12
Correct Answer: 11
Explanation:
Let the required no of binders be X.
Less books , Less binders (Direct Proportion)
More days, Less binders (Indirect proportion)
Therefore, (900 * 12 * x) = (660 * 10 * 18)
=> x = 11
Correct Answer: 24 days
Explanation:
Less Men, means more Days {Indirect Proportion}
Let the number of days be x then,
27 : 36 :: 18 : x
[Please pay attention, we have written 27 : 36 rather than 36 : 27, in indirect proportion, if you get it then chain rule is clear to you :)]
=>27x = 36 * 18
=> x = 24
So 24 days will be required to get work done by 27 men.
Correct Answer: 48 paise
Explanation:
Quarter of Kg means 250 gm
Less weight, less price (Direct Proportion)
So,
250 : 200 :: 60 : x => x = 48
So 200 gm will cost 48 paise.
Correct Answer: 12th element
Explanation:
If we consider the third term to be ?x?
The 15th term will be (x + 12d)
6th term will be (x + 3d)
11th term will be (x + 8d) and
13th term will be (x + 10d).
Thus, as per the given condition, 2x + 12d = 3x + 21d.Or x + 9d = 0.
x + 9d will be the 12th term.
Thus, 12th term of the A.P will be zero.
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