Unit-5:
(a)Alligation
(b)Time and work, Work and Wages and pipes and cisterns
(c)Time and distance, trains and streams
Q1.
How many Kg of sugar at 38 per kg , must a man mix with 25 per kg , so that he may , on selling the mixture at 40 per kg gain 25% on the whole lot.
(a) 6 : 7 (b) 1 : 2 (c) 4 : 5 (d) 9 : 10
Solution.
CP of mixture = 40 x
100/125
= 40 x
4/5
= 32 per kg
Qty of cheaper/Qty of dearer
=
CP of dearer - mean P/Mean P - CP of cheaper
=
38 - 32/32 - 25
=
6/7
= 6 : 7
Solution
Q2.
In what proportion must water be mixed with milk to gain 50/3% by selling it at cost price ?
(a) 1 : 6 (b) 6 : 1
(c) 2 : 1 (d) 1 : 4
Solution.
(a) 1 : 6
Solution
Q3.
9 women or 7 men can do a job in 30 days, how long will 3 women and 6 men take to finish the same job.(Appoximate days)
(a) 19 days (b) 12 days (c) 6 days (d) 18 days
Solution.
(b) 12 days
Solution
Q4.
If 4 men and 12 women can do a piece of work in 5 days , and 3 men and 7 women can do the same job in 4 days . In how many days 10 men and
10 women will finish the same job.
(a) 3 (b) 14/5 (c) 2 (d) 4
Solution.
4 men + 12 women = 5 days
3 men + 7 women = 4 days
20 men + 60 women = 12 days + 28 women
M = 9 W
28 x 5 = 50 x D
28 = 10 D
D = 14/5
Solution
Q5.
5 women and 2 boys working together can do four times as much work per day as a women and a boy together . Compare the efficiency of a women with that
of a boy .
(a) 2W = B (b) W = 3B (c) W = 2B (d) W = B
Solution.
(c) W = 2B
Solution
Q6.
A man covers a certain distance between two places on scooter, with the speed of 30 km/hr , he take by 20 min. However with the speed
of 40 km/hr he reaches his office 10 min earlier . find the distance between two places .
(a) 60 km (b) 30 km (c) 64 km (d) 38 km
Solution.
(a) 60 km
Solution
Q7.
A man goes to office at a speed of 3 km/hr and returns to the village at a speed of 4km /hr . If he takes 5 hrs in total, what is the
distance between the village and the office.
(a) 40/7 km (b) 60/7 km (c) 7km (d) 60km
Solution.
(b) 60/7 km
Solution
Q8.
Two stations P and Q are 110 km apart on a track. one train starts from P to Q at 9 am at 40km/hr. Another train starts from Q to P
at 11 am at 50 km/hr . At what time both train will meet ?
(a) 1 pm (b) 12:10 pm (c) 11:20 am (d) 11 am
Solution.
(c) 11:20 am
Solution
Q9.
Two trains of the same length but with different speeds pass a static pole in 5 seconds and 6 seconds respectively. In what time will they
cross each other when they are moving in the same direction .
(a) 1 minutes (b) 2 minutes (c) 3 minutes (d) 4 minutes
Solution.
(a) 1 minutes
Solution
Q10.
A man can row 8 km/hr in still water . when the speed of stream is 2.4 km/hr, it will take 3 hour to row to a place and back. How long is the
place ?
(a) 9.89 km (b) 15 km (c) 12 km (d) 10.92 km
Solution.
Distance =
3 x (82 - 2.42)/2 x 8
=
3(64 - 5.76)/16
=
174.72/16
= 10.92 km
Solution
