Mini Mock Set – 50 | Maths & Reasoning

1) Container A and B contains spirit and water in the ratio of 3 : 4 and
4 : 5 respectively. A and B contains 70 litres and 90 litres of solution
respectively. 14 litres of solution A is taken out and replaced by equal
amount of diesel and 18 litres of solution from B is taken out and
replaced by equal amount of diesel. Now, 10 litres of solution from A
is mixed with 10 litres of solution from B, find the proportion of
spirit, water, diesel in the resultant mixture.
a) 110 : 142 : 63 b) 110 : 52 : 68 c) 120 : 56 : 42 d) 110 : 62 : 56
e) None of these

2) A tank is connected with three inlet pipes P, Q and R. Time taken by
pipes P and Q together to fill the tank is 6 hours less than the time
taken by pipe R alone to fill the same tank. Pipe P is 50% more
efficient than pipe Q. Together they can fill the tank in 13 hours 20
minutes, then find the time taken by pipe R (> 3 hour) to fill the tank
alone.

a) 24 hours b) 30 hours c) 20 hours d) 36 hours e) None of these

3) In a cricket match out of 15 players 11 players are playing the
match while remaining 4 players are not playing. Average age of 11
playing members is 30 years and 4 non – playing members is 22.5
years. If in next match one player of age 25 years is included in the
playing squad from 4 non – playing members and one player of age 36
years is excluded from the playing squad, then find the difference
between new average age of playing squad and non – playing squad of
the match ?

a) 2.5 years b) 4 years c) 5 years d) 6.25 years e) 3.75years

4) D and F are hired to complete the task
Y. F is 50% more efficient than D. In how
many days the task Y is completed if D
and F work together?

a) 4 days b) 22/5 days c) 23/5 days
d) 5 days
e) None of these

5) C and E are hired to complete task X
and task Y. What is the ratio of the time
taken by them together to complete the
task X to the time taken by them
together to complete the task Y?

a) 9:11 b) 5 : 7 c) 3 : 4 d) 5 : 3
e) None of these

6) A, B and C are hired to complete task
Y. They started working together but
after 3 days B left the job and 5 days
before completion of task A also left. In
how many days the work is completed?

a) 12 days b) 13 days c) 14 days
d) 15 days
e) None of these

7) Time taken by B and C together to
complete 50% of task X is
approximately what percent of the
time taken by A and C together to
complete 75% of task Y?

a) 23.67% b) 27% c) 33.33% d)
66.67 e) None of these