Time And Work(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

TIME AND WORK MCQs

Time & Work, Work And Wages

Total Questions : 1512 | Page 145 of 152 pages

Question 1441. If 28 men can finish a work in 15 days, 21 men can finish the same work in___________?

24 days
14 days
15 days
20 days

Discuss Question

Answer: Option D. -> 20 days
TIME AND MEN ARE INVERSELY PROPORTIONAL. TIME TAKEN BY 28 MEN TO FINISH THE WORK = 15 DAYS TIME TAKEN BY A MAN TO FINISH THE WORK
= 15*28 DAYS TIME TAKEN BY 21 MEN = (15*28)/21 = 20 DAYS

Question 1442. C takes 6 days to complete half of a work and D takes 5 days to complete 1/3rd of the same work. They take turns to complete the task. If C works for the first 4 days, in how many days will D complete the rest of the work without the help of C?

10 days
12 days
8 days
9 days

Discuss Question

Answer: Option A. -> 10 days
PART OF WORK COMPLETED BY C IN 1 DAY = 1/12 PART OF WORK COMPLETED BY D IN 1 DAY = 1/15 PART OF WORK COMPLETED BY C IN 4 DAYS
= 1/3 WORK REMAINING = 2/3 TIME TAKEN BY D TO COMPLETE THE WORK
= (2/3)÷(1/15) = 10 DAYS

Question 1443. 15 men can build a 500m long wall in 30 days. In how many days can 30 men build a 1.2 km long wall?

48 days
24 days
40 days
36 days

Discuss Question

Answer: Option D. -> 36 days
NO. OF DAYS IS
DIRECTLY PROPORTIONAL TO THE LENGTH OF THE WALL AND
INVERSELY PROPORTIONAL TO THE NUMBER OF MEN NO. OF DAYS = (1200/500)*(15/30)*30 = 36 DAYS

Question 1444. 8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?

6 days
8 days
10 days
12 days

Discuss Question

Answer: Option D. -> 12 days
2 CHILDREN = 1 MAN
(8 CHILDREN + 12 MEN ) = 16 MEN
NOW, LESS MEN, MORE DAYS
12 : 16 : 9 : X
X = 16×9/12=12 DAYS

Question 1445. P,Q and R together earn Rs.1620 in 9 days. P and R can earn Rs.600 in 5 days. Q and R in 7 days can earn Rs.910. How much amount does R can earn per day?

Rs.40
Rs.70
Rs.90
Rs.100

Discuss Question

Answer: Option B. -> Rs.70
AMOUNT EARNED BY P,Q AND R IN 1 DAY = 1620/9 = 180 —(1)
AMOUNT EARNED BY P AND R IN 1 DAY = 600/5 = 120 —(2)
AMOUNT EARNED BY Q AND R IN 1 DAY = 910/7 = 130 —(3)
(2)+(3)-(1) => AMOUNT EARNED BY P , Q AND 2R IN 1 DAY
– AMOUNT EARNED BY P,Q AND R IN 1 DAY = 120+130-180 = 70
=>AMOUNT EARNED BY R IN 1 DAY = 70

Question 1446. P can finish a work in 18 days. Q can finish the same work in 15 days. Q worked for 10 days and left the job. how many days does P alone need to finish the remaining work?

Discuss Question

Answer: Option B. -> 6
WORK DONE BY P IN 1 DAY = 1/18
WORK DONE BY Q IN 1 DAY = 1/15
WORK DONE BY Q IN 10 DAYS = 10/15 = 2/3
REMAINING WORK = 1 – 2/3 = 1/3
NUMBER OF DAYS IN WHICH P CAN FINISH THE REMAINING WORK = (1/3) / (1/18) = 6

Question 1447. P and Q can complete a work in 20 days and 12 days respectively. P alone started the work and Q joined him after 4 days till the completion of the work. How long did the work last?

5 days
10 days
15 days
12 days

Discuss Question

Answer: Option B. -> 10 days
WORK DONE BY P IN 1 DAY = 1/20
WORK DONE BY Q IN 1 DAY = 1/12
WORK DONE BY P IN 4 DAYS = 4 × (1/20) = 1/5
REMAINING WORK = 1 – 1/5 = 4/5
WORK DONE BY P AND Q IN 1 DAY = 1/20 + 1/12 = 8/60 = 2/15
NUMBER OF DAYS P AND Q TAKE TO COMPLETE THE REMAINING WORK = (4/5) / (2/15) = 6
TOTAL DAYS = 4 + 6 = 10

Question 1448. 8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in:__________?

12 days
16 days
18 days
20 days

Discuss Question

Answer: Option B. -> 16 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 1449. P can lay railway track between two stations in 16 days. Q can do the same job in 12 days. With the help of R, they completes the job in 4 days. How much days does it take for R alone to complete the work?

9(3/5) days
9(1/5) days
9(2/5) days
10 days

Discuss Question

Answer: Option A. -> 9(3/5) days
AMOUNT OF WORK P CAN DO IN 1 DAY = 1/16
AMOUNT OF WORK Q CAN DO IN 1 DAY = 1/12
AMOUNT OF WORK P, Q AND R CAN TOGETHER DO IN 1 DAY = 1/4
AMOUNT OF WORK R CAN DO IN 1 DAY = 1/4 – (1/16 + 1/12) = 3/16 – 1/12 = 5/48
=> HENCE R CAN DO THE JOB ON 48/5 DAYS = 9 (3/5) DAYS

Question 1450. Wo pipes X and Y fill a tank in 15 hrs. and 20 hrs. respectively, while a third pipe ‘Z’ can empty the full tank in 25 hrs. All the three pipes are opened in the beginning. After 10 hrs. Z is closed. In how much time, will the tank be full ?