Chain Rule - Wikitechy https://www.wikitechy.com/interview-questions/category/chain-rule/ Interview Questions Sat, 18 Sep 2021 11:19:22 +0000 en-US hourly 1 https://wordpress.org/?v=6.9.4 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png Chain Rule - Wikitechy https://www.wikitechy.com/interview-questions/category/chain-rule/ 32 32 A certain number of answer sheets can be checked in 12 days working 5 hours each day by 9 examiners. For how many hours a day should 4 examiners work to check twice the number of answer sheets in 30 days ? https://www.wikitechy.com/interview-questions/chain-rule/a-certain-number-of-answer-sheets-can-be-checked-in-12-days-working-5-hours-each-day-by-9-examiners-for-how-many-hours-a-day-should-4-examiners-work-to-check-twice-the-number-of-answer-sheets-in-30-d/ https://www.wikitechy.com/interview-questions/chain-rule/a-certain-number-of-answer-sheets-can-be-checked-in-12-days-working-5-hours-each-day-by-9-examiners-for-how-many-hours-a-day-should-4-examiners-work-to-check-twice-the-number-of-answer-sheets-in-30-d/#respond Tue, 17 Aug 2021 22:01:44 +0000 https://www.wikitechy.com/interview-questions/?p=1984

A certain number of answer sheets can be checked in 12 days working 5 hours each day by 9 examiners. For how many hours a day should 4 examiners work to check twice the number of answer sheets in 30 days ?

A. 4 hours

B. 8 hours

C. 7 hours

D. 9 hours

Answer : D. 9 hours

Explanation:

Let required number of hours be x
More examiners, less hours(indirect proportion)
More days, less hours(indirect proportion)
More answer books, more hours(direct proportion)
Hence we can write as

A certain number of answer sheets
    • 9 * 12 * 2 * 5 = 4 * 30 * 1 * x
    • x = 9 * 12 * 2 * 5 / 4 * 30 * 1
    • = 9 * 3 * 2 * 5 / 30
    = 9
]]> https://www.wikitechy.com/interview-questions/chain-rule/a-certain-number-of-answer-sheets-can-be-checked-in-12-days-working-5-hours-each-day-by-9-examiners-for-how-many-hours-a-day-should-4-examiners-work-to-check-twice-the-number-of-answer-sheets-in-30-d/feed/ 0 If 4 men reap 40 acres in 30 days, how many acres will 18 men reap in 12 days ? https://www.wikitechy.com/interview-questions/chain-rule/if-4-men-reap-40-acres-in-30-days-how-many-acres-will-18-men-reap-in-12-days/ https://www.wikitechy.com/interview-questions/chain-rule/if-4-men-reap-40-acres-in-30-days-how-many-acres-will-18-men-reap-in-12-days/#respond Tue, 17 Aug 2021 22:00:44 +0000 https://www.wikitechy.com/interview-questions/?p=1983

If 4 men reap 40 acres in 30 days, how many acres will 18 men reap in 12 days ?

A. 57 Acres

B. 64 Acres

C. 76 Acres

D. 72 Acres

Answer : D. 72 Acres

Explanation:

By Direct approach :
More men, more acres
More days, more acres
so,
4 / 18 : 30 / 12 = 40 / x
x = (18 x 12 x 40) / (4 x 30)
72 acres

]]> https://www.wikitechy.com/interview-questions/chain-rule/if-4-men-reap-40-acres-in-30-days-how-many-acres-will-18-men-reap-in-12-days/feed/ 0 In a dairy farm, 20 cows eat 20 bags in 20 days. In how many days one cow will eat one bag of husk ? https://www.wikitechy.com/interview-questions/chain-rule/in-a-dairy-farm-20-cows-eat-20-bags-in-20-days-in-how-many-days-one-cow-will-eat-one-bag-of-husk/ https://www.wikitechy.com/interview-questions/chain-rule/in-a-dairy-farm-20-cows-eat-20-bags-in-20-days-in-how-many-days-one-cow-will-eat-one-bag-of-husk/#respond Tue, 17 Aug 2021 22:00:00 +0000 https://www.wikitechy.com/interview-questions/?p=1982

In a dairy farm, 20 cows eat 20 bags in 20 days. In how many days one cow will eat one bag of husk ?

A. 10 days

B. 1/10 days

C. 20 days

D. 40 days

Answer : C. 20 days

Explanation :

Assume that in x days, one cow will eat one bag of husk.
More cows, less days (Indirect proportion)
More bags, more days (Direct proportion)
Hence we can write as
1 * 20 * x = 20 * 1 * 20

x = 20.

]]> https://www.wikitechy.com/interview-questions/chain-rule/in-a-dairy-farm-20-cows-eat-20-bags-in-20-days-in-how-many-days-one-cow-will-eat-one-bag-of-husk/feed/ 0 If 30 men can build a wall 56 meters long in 5 days, what length of a similar wall can be built by 40 men in 3 days ? https://www.wikitechy.com/interview-questions/chain-rule/if-30-men-can-build-a-wall-56-meters-long-in-5-days-what-length-of-a-similar-wall-can-be-built-by-40-men-in-3-days/ https://www.wikitechy.com/interview-questions/chain-rule/if-30-men-can-build-a-wall-56-meters-long-in-5-days-what-length-of-a-similar-wall-can-be-built-by-40-men-in-3-days/#respond Tue, 17 Aug 2021 21:59:04 +0000 https://www.wikitechy.com/interview-questions/?p=1981

If 30 men can build a wall 56 meters long in 5 days, what length of a similar wall can be built by 40 men in 3 days ?

A. 36.5 m

B. 44.8 m

C. 62.3 m

D. 92 m

Answer : B. 44.8 m

Explanation:

Let the required length be x meters
More men, More length built (Direct proportion)
Less days, Less length built (Direct Proportion)
(30 x 5 x X) = (40 x 3 x 56)
=> x = 44.8
Hence, the required length is 44.8 m.

]]> https://www.wikitechy.com/interview-questions/chain-rule/if-30-men-can-build-a-wall-56-meters-long-in-5-days-what-length-of-a-similar-wall-can-be-built-by-40-men-in-3-days/feed/ 0 In 36.5 weeks, Miguel raised $2372.50 for cancer research. How much money will he raise 20 weeks ? https://www.wikitechy.com/interview-questions/chain-rule/in-36-5-weeks-miguel-raised-2372-50-for-cancer-research-how-much-money-will-he-raise-20-weeks/ https://www.wikitechy.com/interview-questions/chain-rule/in-36-5-weeks-miguel-raised-2372-50-for-cancer-research-how-much-money-will-he-raise-20-weeks/#respond Tue, 17 Aug 2021 21:57:16 +0000 https://www.wikitechy.com/interview-questions/?p=1980

In 36.5 weeks, Miguel raised $2372.50 for cancer research. How much money will he raise 20 weeks ?

A. $1200

B. $1300

C. $1350

D. $1100

Answer : B. $1300

Explanation :

This is a situation of direct variation.

Less number of weeks —-> amount raised will be less .
Given :
Miguel raised $2,372.50 in 36.5 weeks
Amount raised in one week is
= 2372.5 / 36.5
= $65
Amount raised in 20 weeks is
= 65 x 20
= $1300
Hence, the money raised in 20 weeks is $1300

]]> https://www.wikitechy.com/interview-questions/chain-rule/in-36-5-weeks-miguel-raised-2372-50-for-cancer-research-how-much-money-will-he-raise-20-weeks/feed/ 0 75 basketballs cost $1,143.75. Find the cost of 26 basketballs ? https://www.wikitechy.com/interview-questions/chain-rule/75-basketballs-cost-1-143-75-find-the-cost-of-26-basketballs/ https://www.wikitechy.com/interview-questions/chain-rule/75-basketballs-cost-1-143-75-find-the-cost-of-26-basketballs/#respond Tue, 17 Aug 2021 21:55:04 +0000 https://www.wikitechy.com/interview-questions/?p=1979

75 basketballs cost $1143.75. Find the cost of 26 basketballs.

A. $ 396.50

B. $ 346.50

C. $ 333.50

D. $ 426.50

Answer : A. $ 396.50

Explanation:

This is a situation of direct variation.

Because, less number of basket balls —–> cost will be less.
Given :
75 basketballs cost = $1,143.75.
Cost of one basket ball = 1143.75 / 75 = 15.25
Then, cost of 26 basket balls = 15.25 x 26 = 396.50.
Hence, the cost of 26 basket balls is $ 396.50.

]]> https://www.wikitechy.com/interview-questions/chain-rule/75-basketballs-cost-1-143-75-find-the-cost-of-26-basketballs/feed/ 0 A garrison of 500 men had provisions for 24 days. However, a reinforcement ? https://www.wikitechy.com/interview-questions/chain-rule/a-garrison-of-500-men-had-provisions-for-24-days-however-a-reinforcement/ https://www.wikitechy.com/interview-questions/chain-rule/a-garrison-of-500-men-had-provisions-for-24-days-however-a-reinforcement/#respond Tue, 17 Aug 2021 21:54:05 +0000 https://www.wikitechy.com/interview-questions/?p=1978

A garrison of 500 men had provisions for 24 days. However, a reinforcement ?

A. 15 days

B. 16 days

C. 1/2 days

D. 18 days

Answer : A. 15 days

Explanation:

Given that fort had provision for 500 persons for 27 days Hence, after 3 days, the remaining food is sufficient for 500 persons for 24 days.
Remaining persons after 3 days = 500 + 300 = 800
Assume that after 10 days,the remaining food is sufficient for 800 persons for x days.

More men, Less days (Indirect Proportion)
⇒ Men 500 : 800 :: x : 24
⇒ 500 × 24 = 800x
⇒ 5 × 24 = 8x
⇒ x = 5 × 3 = 15

]]> https://www.wikitechy.com/interview-questions/chain-rule/a-garrison-of-500-men-had-provisions-for-24-days-however-a-reinforcement/feed/ 0 If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web ? https://www.wikitechy.com/interview-questions/chain-rule/if-7-spiders-make-7-webs-in-7-days-then-1-spider-will-make-1-web/ https://www.wikitechy.com/interview-questions/chain-rule/if-7-spiders-make-7-webs-in-7-days-then-1-spider-will-make-1-web/#respond Tue, 17 Aug 2021 21:52:15 +0000 https://www.wikitechy.com/interview-questions/?p=1977

If 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web ?

A. 1

B. 7/2

C. 7

D. 49

Answer : C. 7

Explanation:

Let the required number days be x.
Less spiders, More days (Indirect Proportion)
Less webs, Less days (Direct Proportion)
Hence we can write as,

If 7 spiders make 7 webs in 7 days
    • 1 x 7 x x = 7 x 1 x 7
    x = 7.

 

]]> https://www.wikitechy.com/interview-questions/chain-rule/if-7-spiders-make-7-webs-in-7-days-then-1-spider-will-make-1-web/feed/ 0 In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk ? https://www.wikitechy.com/interview-questions/chain-rule/in-a-dairy-farm-40-cows-eat-40-bags-of-husk-in-40-days-in-how-many-days-one-cow-will-eat-one-bag-of-husk/ https://www.wikitechy.com/interview-questions/chain-rule/in-a-dairy-farm-40-cows-eat-40-bags-of-husk-in-40-days-in-how-many-days-one-cow-will-eat-one-bag-of-husk/#respond Tue, 17 Aug 2021 21:50:57 +0000 https://www.wikitechy.com/interview-questions/?p=1976

In a dairy farm, 40 cows eat 40 bags of husk in 40 days. In how many days one cow will eat one bag of husk ?

A. 1

B. 1/40

C. 40

D. 80

Answer : C. 40

Explanation:

Assume that in x days, one cow will eat one bag of husk.
More cows, less days (Indirect proportion)
More bags, more days (Direct proportion)
Hence we can write as

In a dairy farm, 40 cows eat 40 bags of husk
    • 1 x 40 x x = 40 x 1 x 40
    x = 40.
]]> https://www.wikitechy.com/interview-questions/chain-rule/in-a-dairy-farm-40-cows-eat-40-bags-of-husk-in-40-days-in-how-many-days-one-cow-will-eat-one-bag-of-husk/feed/ 0