1. There are five boxes in a cargo hold. The weight of the first box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box’s weight. The fourth box at 350 kg is 30% lighter than the fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes. (4)
- (1) 51.5 kg
- (2) 75 kg
- (3) 37.5 kg
- (4) 112.5 kg
- (5) None of these
2. There were 42 students in a hostel. Due to the admission of 13 new students, the expenses of the mess increase by Rs. 30 per day while the average expenditure per head diminished by Rs. 3. What was the original expenditure of the mess? (1)
- (1) Rs. 630
- (2) Rs. 580
- (3) Rs. 620
- (4) Rs. 640
- (5) None of these
3. 4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age? (1)
- (1) 10 years
- (2) 14 years
- (3) 12 years
- (4) 5 years
- (5) 8 years
4. The simple interest accrued on a sum of certain principal is Rs. 2000 in five years at the rate of 4 p.c.p.a. What would be the compound interest accrued on same principal at the same rate in two years ? (4)
- (1) Rs. 716
- (2) Rs. 724
- (3) Rs. 804
- (4) Rs. 816
- (5) None of these
5. 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