Aptitude question for Gate 2019

Aptitude question for Gate 2019

1)  TIME  AND WORK  :  

Q1)  If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be?

 

a) 4 days

 

b) 5 days

 

c) 6 days

 d) 7 days

Ans : A

for detailed solution 

Q2) Twenty-four men can complete a work in sixteen days. Thirty-two women can complete the same work in twenty-four days .Sixteen men and sixteen women started working and worked for twelve days. How many more men are to added to complete the remaining work in 2 days? 

a) 16 

b) 24 

c) 36

 d) 48

Ans B 

Q3) ).5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a woman and a boy are in the ratio? 

a) 1:2

 b) 2:1

 c) 1:3

 d) 3:1

Ans : B

FOR DETAILED SOLUTION 

Q4) If A can do ¼ of a work in 3 days and 3 days and B can do 1/6 of the same work in 4 days, how much will A get if both work together and are paid Rs.180 in all? 

a) Rs.60

 b) Rs.36 

c) Rs.75 

d) Rs.70

Ans :  D

for detailed solution :

Q5) Two pipes can fill the cistern in 10 hr and 12 hr respectively, while the third pipe can empty it in 20 hour simultaneously, if all the pipes are opened then the cistern will be filled in 

a) 7.5 hr 

b) 8 hr

 c) 5 hr

 d) 10 hr

Ans :  A

for detailed solution :

Work done by all the tanks working together in 1 hour. ⇒ 1/10+1/12-1/20=2/15. Hence, tank will be filled in 15/2= 7.5 hour.