Practice MCQ Questions and Answer on Alligation
41.
Weights of two friends Ram and Shyam are in the ratio 4 : 5. If Ram's weight is increased by 10% and total weight of Ram and Shyam become 82.8 kg, with an increases of 15%. By what percent did the weight of Shyam has to be increased?
- (A) 19%
- (B) 10%
- (C) 21%
- (D) 16%
42.
Two blends of a commodity costing Rs. 35 and Rs. 40 per kg respectively are mixed in the ratio 2 : 3 by weight. If one-fifth of the mixture is sold at Rs. 46 per kg and the remaining at the rate Rs. 55 per kg, the profit percent is -
- (A) 50%
- (B) 20%
- (C) 40%
- (D) 30%
43.
A milkman borrowed a sum of Rs. 2,500 from two moneylenders for one loan on simple interest at the rate of 5% and 7%, respectively, for a period of 2 years. If the total interest paid by him was Rs. 276, then how much did he borrow at the rate of 7% p.a.?
- (A) Rs. 700
- (B) Rs. 650
- (C) Rs. 675
- (D) Rs. 550
44.
A and B are solutions of acid and water. The ratios of water and acid in A and B are 4 : 5 and 1 : 2 respectively. If x litres of A is mixed with y litres of B, then ratio of water and acid in the mixture becomes 8 : 13. What is x : y?
- (A) 5 : 6
- (B) 2 : 5
- (C) 3 : 4
- (D) 2 : 3
45.
Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing $$69\frac{3}{{13}}\% $$ ÃÂÃÂ milk, is-
- (A) 2 : 7
- (B) 3 : 5
- (C) 5 : 2
- (D) 5 : 7
46.
A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:
- (A) 4%
- (B) 16%
- (C) 20%
- (D) 25%
47.
Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:
- (A) Rs. 169.50
- (B) Rs. 170
- (C) Rs. 175.50
- (D) Rs. 180
48.
From a container, full of pure milk, 20% is replaced by water and this process is repeated three times. At the end of third operation, the quantity of pure milk reduces to:
- (A) 40.0%
- (B) 50.0%
- (C) 51.2%
- (D) 58.8%
49.
A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?
- (A) 10
- (B) 20
- (C) 21
- (D) 25
50.
20 litres of a mixture contains milk and water in the ratio 3 : 1. Then the amount of milk to be added to the mixture so as to have milk and water in ratio 4 : 1 is-
- (A) 7 litres
- (B) 4 litres
- (C) 5 litres
- (D) 6 litres