Chain Rule - Aptitude Questions and Answers

Chain Rule Questions and Answers

Learn and practice the chapter "Chain Rule" with these solved Aptitude Questions and Answers. Each question in the topic is accompanied by a clear and easy explanation, diagrams, formulae, shortcuts and tricks that help in understanding the concept.

Use of Chain Rule Questions

The questions and examples given in this section will be useful to all the freshers, college students and engineering students preparing for placement tests or any competitive exam like MBA, CAT, MAT, SNAP, MHCET, XAT, NMAT, GATE, Bank exams - IBPS, SBI, RBI, RRB, SSB, SSC, UPSC etc.

Practice with this online test to crack your placements and entrance tests!
1. 20 women take 20 minutes to roll 20 chapattis. How many chapattis can 400 women roll in 400 minutes?

a. 20
b. 2000
c. 4000
d. 8000

Answer: d. 8000

Explanation:

Tip:
Men = M; Days = D; Time/Hours = T; Work = W
                   M1D1T1W2 = M2D2T2W1
Note that - W2 is on left side and W1 is on right side


∴ 20 women x 20 minutes x ? = 400 women x 400 minutes x 20 chapattis
∴ ? = 8000 chapattis = Are rolled by 400 women in 400 minutes


2. A building is under construction and the task of paving the blocks is given to a group of men. 40 men can finish the given task in 96 days, working 9 hours/day. If 48 men take up the assignment and commit to finish it in 45 days, how many hours will they need to work per day?

a. 16
b. 18
c. 24
d. 27

Answer: a. 16

Explanation:

Tip:
Men = M; Days = D; Time/Hours = T; Work = W
                   M1D1T1W2 = M2D2T2W1
Note that - W2 is on left side and W1 is on right side


Take work done = 1
∴ 40 men x 96 days x 9 hours x 1 = 48 men x 45 days x ? hours x 1
∴ ? = 16 hours = 48 men need to work these many hours per day


3. A ship was stocked with food to last for 40 days for 2500 sailors. However, some sailors could not board the ship and the food could last for 50 days. How many sailors could not board the ship?

a. 400
b. 500
c. 700
d. 1000

Answer: b. 500

Explanation:

Tip:
Men = M; Days = D; Time/Hours = T; Work = W
                   M1D1T1W2 = M2D2T2W1
Note that - W2 is on left side and W1 is on right side


Take work done = 1
Let number of sailors who could not board = S.
So sailors who boarded = 2500-S
∴ 2500 sailors x 40 days x 1 = (2500-S) sailors x 50 days x 1
∴ S = 500 = Sailors who could not board the ship.


4. A trip was organized for 75 travelers for 35 days and the food supply was arranged accordingly. However, some travelers showed up with friends and there were 15 additional people from day one of the trip. Now, for how many days will the food supply last for all these people?

a. 11.25 days
b. 29.1 days
c. 30 days
d. 32 days

Answer: b. 29.1 days

Explanation:

Total people after guests come = 75+15 = 90
75 people x 35 days x 1 = 90 people x ? days x 1
∴ ? = 29.1 days = Supplies will last for these many days


5. 3 men can build a stage in 18 days while 6 boys can also do it in 18 days. If 4 men and 4 boys work on the assignment together, how many days will they take to finish it?

a. 4.5 days
b. 6 days
c. 9 days
d. 27 days

Answer: c. 9 days

Explanation:

Tip:
Men = M; Days = D; Time/Hours = T; Work = W
                   M1D1T1W2 = M2D2T2W1
Note that - W2 is on left side and W1 is on right side


To complete work in 18 days we need either 3 men or 6 boys.
∴ 1 man = 2 boys
Take work done = 1
∴ 3 men x 18 days x 1 = (4 men + 4 boys) x ? days x 1

Remember - Convert either all men to boys or all boys to men.


∴ 6 boys x 18 days x 1 = (8 boys + 4 boys) x ? days x 1
∴ ? = 9 days = they will need these many days