Q1.
Milk and water are mixed in a vessel A in the proportion 5:3 and in vessel B in the proportion 6:5. In what proportion should quantities
be taken from the two vessels so as to form a mixture in which milk and water will be in the proportion of 7:5 ?
(a) 12 : 17 (b) 11 : 10 (c) 2 : 9 (d) 3 : 4
Solution.
(b) 11 : 10
Solution
Q2.
A person has a milk of Rs.30 per litre. In what ratio should water be mixed in this so that after selling the mixture at Rs.30 he may get a profit of 20% (milk is to water)
(a) 2:3 (b) 5:4 (c) 5:1 (d) 1:4
Solution.
(c) 5:1
Solution
Q3.
12 women or 15 children can do a job in 14 days. Find the number of days that 7 women and 5 children will take to do the same job.
(Approx. days)
(a) 16.8 days (b) 15.3 days (c) 17 days (d) 19 days
Solution.
(b) 15.3 days
Solution
Q4.
1 man or 2 women or 3 boys can do a job in 22 days then in how many days will 1 man , 1 woman and 1 boy do the work .
(a) 10 days (b) 8 days (c) 20 days (d) 12 days
Solution.
= [1/(1/22 x 1)+(1/22 x 2)+(1/22 x 3)]
= [1/(1/22)(1/44)+(1/66)]
= 12 days
Solution
Q5.
A team can do the job in 12 days . If 6 mens are absent, then rest of the team member can do the same job in 18 days, find the original
number of men ?
(a) 18 men (b) 16 men (c) 12 men (d) 10 men
Solution.
M1D1 = M2D2
(x) x 12 = (x - 6) x 18
x = 18 men
Solution
Q6.
A car does a journey in 10 hrs, the first half at 15 km/hr and second half at 21 km/hr, find the distance .
(a) 169 km (b) 165 km (c) 180 km (d) 175 km
Solution.
(d) 175 km
Solution
Q7.
Walking 3/5 of his original speed a man is 20 minute late to his office . find his usual time to cover the distance .
(a) 60 minutes (b) 40 minutes (c) 30 minutes (d) 10 minutes
Solution.
(c) 30 minutes
Solution
Q8.
Two trains of the same length but with different speeds pass a electric pole in 3 seconds and 5 seconds respectively. In what time will they
cross each other when they are moving in opposite directions.
(a) 15/4 seconds (b) 15 seconds (c) 4 seconds
(d) 19/3 seconds
Solution.
(a) 15/4 seconds
Solution
Q9.
A train passes two students who are walking in the opposite direction to train, at 5m/s and 20 m/s in 16 seconds and 8 second respectively . Find
the length of the train .
(a) 180 m (b) 160 m (c) 240 m (d) 190 m
Solution.
(c) 240 m
Solution
Q10.
A train passes a pole in 20 seconds and passes a platform 300 m long in 35 seconds . find the length of train .
(a) 300 m (b) 200 m (c) 360 m (d) 400 m
Solution.
Length of the train =
time to pass a pole x length of platform/
difference in time to cross a pole and platform
=
20 x 300/15
= 400 m
Solution
