Unit-5:
(a)Alligation
(b)Time and work, Work and Wages and pipes and cisterns
(c)Time and distance, trains and streams
Q1.
In what ratio should milk and water be mixed so that on selling at the cost price a profit of 10/3% is made ?
(a) 30 : 1 (b) 1 : 2 (c) 3 : 1 (d) 6 : 5
Solution.
milk : water = 100 : 10/3 = 300 : 10
= 30 : 1
Solution
Q2.
A merchant has 60 kg of rice, he sold x kg at 10% profit and the rest at 16% profit. He gain 12% on the whole . Find x .
(a) 40 kg (b) 30 kg (c) 10 kg (d) 32 kg
Solution.
=
Qty of 1st part/Qty of 2nd part
=
16 - 12/12 - 10
=
4/2
= 2 : 1
= 2/3 x 60
= 40 kg
Solution
Q3.
4 men and 6 women complete a job in 8 days . 3 men and 7 women finish in 10 days. Then the eficiency of men is equivalent to _______
women .
(a) 12 (b) 11 (c) 10 (d) 16
Solution.
(b) 11
Solution
Q4.
8 women and 10 men complete a work in 9 days . Each women take twice the time taken by a man. In how many days will 18 men finish the same
work .
(a) 18 days (b) 11 days (c) 10 days (d) 7 days
Solution.
2 women = 1 man
8 women + 10 men = 14 men
14 x 9 = 18 x (x)
x = 7 days
Solution
Q5.
A and B can do a work in 45 and 60 days respectively. They started work together but A left after some time and B finished the remaining work in 20 days. After
how many days did A leave ? (Approx.. days)
(a) 17 days (b) 18 days (c) 19 days (d) 20 days
Solution.
=
45 x 60/45 + 60
x
60 - 20/60
=
2700/105
x
40/60
= 17 days
Solution
Q6.
Running 5/3 of his usual speed , a person improves his timing by 5 minutes, find his usual time to cover the distance .
(a) 20 minutes (b) 12.5 minutes (c) 10 minutes (d) 16 minutes
Solution.
(b) 12.5 minutes
Solution
Q7.
A train travelling 20 km/hr leaves place A at 8 am and another train travelling 30 km/hr starts at 2 p.m in the same direction. How many km from place A will they be together ?
(a) 60 km (b) 300 km (c) 200 km (d) 150 km
Solution.
(b) 300 km
Solution
Q8.
A train passed a standing man in 25 seconds and passes a platform 100 m long in 45 seconds. find the speed of the train .
(a) 19 km/hr (b) 10 km/hr (c) 18 km/hr (d) 20 km/hr
Solution.
(c) 18 km/hr
Solution
Q9.
Two trains of the same length with different speeds pass a electric pole in 30 seconds and 4 seconds respectively. In what time will they cross each
other when they are moving in the same direction .
(a) 24 sec (b) 30 sec (c) 35 sec (d) 45 sec
Solution.
(a) 24 sec
Solution
Q10.
A person swims downstream 40 km and upstream 32 km, taking 8 hrs each time. Find the velocity of current ?
(a) 0.9 km/hr
(b) 0.5 km/hr (c) 1 km/hr (d) 2 km/hr
Solution.
Person's rate downstream = 5 km/hr
Person's rate upstream = 4 km/hr
x = Person's rate in still water
y = rate of the current
x + y = 5
x - y = 4
2x = 9
x = 4.5 km/hr
y = 0.5 km/hr
Solution
