1. A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2 : 3. How many litres of liquid A was contained in the jar? (4)
- (1) 14 litres
- (2) 18 litres
- (3) 20 litres
- (4) 16 litres
- (5) None of these
2. One type of liquid contains 25% of milk, the other contains 30% of milk. A container is filled with 6 parts of the first liquid and 4 parts of the second liquid. The percentage of milk in the mixture is: (1)
- (1) 27%
- (2) 31%
- (3) 29%
- (4) 33%
- (5) None of these
3. Out of 5 women and 4 men a committee of three members is to be formed in such a way that at least one member is a women. In how many different ways can it be done? (1)
- (1) 80
- (2) 84
- (3) 76
- (4) 96
- (5) None of these
4. A bucket contains a mixture of two liquids A and B in the proportion 4 : 1. If 45 litres of the mixture is replaced by 45 litres of liquid B, then the ratio of the two liquids becomes 2 : 5. How much of the liquid B was there in the bucket? What quantity does the bucket hold? (2)
- (1) 56 litres, 70 litres
- (2) 14 litres, 70 litres
- (3) 65 litres, 72 litres
- (4) 18 litres, 90 litres
- (5) None of these
5. Two candles of the same height are lighted at the same time. The first is consumed in 3 hours and the second in 1 hour. Assuming that each candle burns at a constant rate, in how many hours after being lighted, the ratio between the first and second candles become 2 : 1? (3)
- (1) 48 minutes
- (2) 1 hour 36 min
- (3) 36 minutes
- (4) 60 minutes
- (5) None of these