Time And Work Aptitude Pdf Model Questions & Answers, Practice Test for ibps po prelims 2024 2025

Question :1

A contractor employed 30 men to do a piece of work in 38 days. After 25 days, he employed 5 men more and the work was finished one day earlier. How many days he would have been behind, if he had not employed additional men?

Answer: (c)

After 25 days, 35 men complete the work in 12 days.

Thus, 35 men can finish the remaining work in 12 days.

∴ 30 men can do it in ${(12 × 35)}/{30}$ = 14 days, which is 1 day behind.

Question :2

If 15 men take 21 days of 8 hours each to do a piece of work, then what is the number of days of 6 hours each that 21 women would take, if 3 women would do as much work as 2 men ?

Answer: (d)

Given 3w = 2M

w = ${2M}/3$

$M_1 d_1 h_1 = M_2 d_2 h_2$

15 × 21 × 8 = 21$(2/3)$ × 6 × d

d = ${15 × 21 × 8 × 3}/{21 × 2 × 6}$

d = 30 days

Question :3

21 binders can bind 1400 books in 15 days. How many binders will be required to bind 800 books in 20 days?

Answer: (c)

Required no. of binders = ${800×21×15}/{1400×20}=9$

Question :4

George takes 8 hours to copy a 50 page manuscript while Sonia can copy the same manuscript in 6 hours. How many hours would it take them to copy a 100 page manuscript, if they work together ?

Answer: (a)

In an hour, George and Sonia together can copy

$1/6 + 1/8 = 7/{24}$ of a 50-page manuscript.

i.e. In an hour they together can copy $7/{48}$ of the 100-page manuscript

.i.e. They together can copy a 100-page manuscript in

${48}/7$ hours, i.e. 6$6/7$ hours.

Question :5

A man can do a piece of work in 10 days but with the assistance of his son, the work is done in 8 days. In how many days, his son alone can do the same piece of work ?

Answer: (d)

(Man + Son)'s one day's work = $1/8$

Man's one day's work = $1/{10}$

⇒ Son's one day's work = $1/8 - 1/{10} = 1/{40}$

∴ Son can do it in 40 days.

Alternate Method :-

Son can do it in $({8 × 10}/{10 - 8})$ = 40 days

ibps po prelims 2024 2025 IMPORTANT QUESTION AND ANSWERS
Time & Work ibps po prelims 2024 2025 question answer with explanation PDF

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