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Aptitude Time and Work Test Paper 1


1) Worker A completes a task in 8 days, and worker B completes the same task in 10 days. If both A and B work together, in how many days they will complete the task?

  1. Apti Time and work 22days.
  2. Apti Time and work 23days.
  3. Apti Time and work 24days.
  4. Apti Time and work 25days.

The Correct answer is (B)

Explanation:

Worker A completes the task in 8 days. So, in one day, he will completeApti Time and work 26part of the task.

So, A's one day work =Apti Time and work 26

Similarly, B's one day work =Apti Time and work 27

∴ (A+B)'s one day work =Apti Time and work 28

Apti Time and work 29of the task is completed in one day so both will complete the whole task inApti Time and work 30days


2) Vikas and Mohan working together can complete a work in 6 days. If Vikas alone completes the same work in 10 days, in how many days Mohan alone can complete the same work?

  1. 13 days
  2. 14 days
  3. 15 days
  4. 16 days

The Correct answer is (C)

Explanation:

Vikas and Mohan together can complete the task in 6 days. So, in one day, they will complete Apti Time and work 31part of the task.

Therefore, (Vikas + Mohan)'s one day work will be =Apti Time and work 32

Similarly, Vikas's one day work =Apti Time and work 33

Therefore, Mohan's one day work =Apti Time and work 34

Apti Time and work 35

In one day Mohan completes the Apti Time and work 36part of the work so he will complete the entire work in 15 days.


3) A can do a work in 10 days and B can do the same work in 15 days. If they start working together but stop working after four days, find the fraction of the work that is left.

  1. Apti Time and work 37
  2. Apti Time and work 38
  3. Apti Time and work
39
  4. Apti Time and work40

The Correct answer is (A)

Explanation:

A's one day work =Apti Time and work 41

B's one day work =Apti Time and work 42

(A + B)'s one day work =Apti Time and work 43

Apti Time and work 44

A and B's four day work =Apti Time and work 45

Therefore,the remaining work =Apti Time and work 46


4) Peter is twice as good as workman as Tom. When they work together they can finish a task in 16 days. If Tom works alone, in many days he will complete the task?

  1. 46 days
  2. 48 days
  3. 50 days
  4. 52 days

The Correct answer is (B)

Explanation:

(Peter + Tom)'s one-day work = 1/16

As per the question, Peter can finish twice as much work as finished by Tom in a given duration of time.

Therefore,Apti Time and work 47of their one day's work will be completed by Peter and Apti Time and work 48 of their one day work will be completed by Tom.

So, Tom's one day work will be = Apti Time and work 49

So, Tom will take 48 days to complete the task.


5) A can do a job in 12 days and B can do the same job in 10 days. With the help of C they can do the same job in 4 days. In how many days C alone can do this job?

  1. 15 days
  2. 14 days
  3. 13 days
  4. 12 days

The Correct answer is (A)

Explanation:

A's one day work =Apti Time and work 50

B's one day work = Apti Time and work 51

(A+B+C)'s one day work =Apti Time and work 52

Therefore, C's one day work = (A+B+C)'s one day work (A+B)'s one day work

So, C's one day work =Apti Time and work 53

Apti Time and work 54 Apti Time and work 55

So, C will complete the work in 15 days.



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Time and Work Concepts





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