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 148 of 152 pages

Question 1471. Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

2700
1080
450
1800

Discuss Question

Answer: Option D. -> 1800
NUMBER OF BOTTLES PRODUCED BY 1 MACHINE IN A MINUTE
= 270/6 NUMBER OF BOTTLES PRODUCED BY 10 MACHINES IN 4 MINUTES
= (270/6)*10*4 = 1800

Question 1472. 10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work?

Discuss Question

Answer: Option A. -> 7
WORK DONE BY 10 MEN IN 1 DAY = 1/7
WORK DONE BY 1 MAN IN 1 DAY = (1/7)/10 = 1/70
WORK DONE BY 10 WOMEN IN 1 DAY = 1/14
WORK DONE BY 1 WOMAN IN 1 DAY = 1/140
WORK DONE BY 5 MEN AND 10 WOMEN IN 1 DAY = 5 × (1/70) + 10 × (1/140)
= 5/70 + 10/140 = 1/7
=> 5 MEN AND 10 WOMEN CAN COMPLETE THE WORK IN 7 DAYS

Question 1473. A leak in the bottom of a tank can empty the full tank in 6 hrs. An inlet pipe fills water at the rate of 4 lit. a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 8 hrs. The capacity of the tank in liters is_________?

5,750 litres
5,760 litres
6,890 litres
None of these

Discuss Question

Answer: Option B. -> 5,760 litres
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 1474. A and B can do a piece of work in 12 days; B and C in 15 days; C and A in 20 days. A alone can do the work in__________?

20 days
30 days
40 days
none of these

Discuss Question

Answer: Option B. -> 30 days
NO EXPLANATION IS AVAILABLE FOR THIS QUESTION!

Question 1475. Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.

Discuss Question

Answer: Option C. -> 4:3
PART OF WORK COMPLETED BY A MAN IN A DAY = 1/(12*20)
= 1/240 PART OF WORK COMPLETED BY A WOMAN IN A DAY = 1/(20*16) = 1/320 RATIO OF THEIR CAPACITIES
= (1/240):(1/320) = 320:240 = 4:3

Question 1476. If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day?

Discuss Question

Answer: Option A. -> 2
M1*D1*W2 = M2*D2*W1
10*3*10*32 = 30*D*8*20
D = 2 DAYS

Question 1477. A can lay a railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in_________?

Discuss Question

Answer: Option B. -> 9.6
PART OF WORK COMPLETED BY A AND B IN 4 DAYS
= 4*((1/16) + (1/12))
= 7/12 C CAN COMPLETE 5/12TH OF THE WORK IN 4 DAYS C CAN COMPLETE THE WHOLE JOB IN
4÷(5/12) = 9.6 DAYS

Question 1478. A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is_________?

Discuss Question

Answer: Option B. -> 4:3
WORK DONE BY 20 WOMEN IN 1 DAY = 1/16
WORK DONE BY 1 WOMAN IN 1 DAY = 1/(16×20)
WORK DONE BY 16 MEN IN 1 DAY = 1/15
WORK DONE BY 1 MAN IN 1 DAY = 1/(15×16)
RATIO OF THE CAPACITY OF A MAN AND WOMAN =1/(15×16) : 1/(16×20) = 1/15 : 1/20
= 1/3 :1/4 = 4:3

Question 1479. P, Q and R can complete a work in 24, 6 and 12 days respectively. The work will be completed in________days if all of them are working together.

2
3 3⁄7
4 ¼
5

Discuss Question

Answer: Option B. -> 3 3⁄7
WORK DONE BY P IN 1 DAY = 1/24
WORK DONE BY Q IN 1 DAY = 1/6
WORK DONE BY R IN 1 DAY = 1/12
WORK DONE BY P,Q AND R IN 1 DAY = 1/24 + 1/6 + 1/12 = 7/24
=> WORKING TOGETHER, THEY WILL COMPLETE THE WORK IN 24/7 DAYS = 3 3⁄7 DAYS

Question 1480. Two pipes P and Q can fill a cistern in 12 minutes and 16 minutes respectively. Simultaneously both the pipes are opened together, then after how much time Q should be closed so that the tank is full in 9 min ?