1. An aeroplane flies along the four sides of a square at the speeds of 200, 400, 600, and 800 kmph. Find the average speed of the plane around the field. (3)
- (1) 370 kmph
- (2) 368kmph
- (3) 384 kmph
- (4) 390 kmph
- (5) None of these
2. Two vessels A and B of equal capacities contain mixtures of milk and water in the ratio of 4 : 1 and 3 : 1 respectively. 25% of the mixture from A is taken out and added to B. After mixing it thoroughly, an equal amount is taken out from B and added back to A. What is the ratio of milk to water in Vessel A after the second operation? (1)
- (1) 79 : 21
- (2) 83 : 17
- (3) 77 : 23
- (4) 81 : 19
- (5) None of these
3. In a factory there are three types of machines M1, M2, and M3 which produces 25% , 35% and 40% of the total products respectively. M1, M2, and M3 produces 2%, 4% and 5% defective products, respectively. What is the percentage of non-defective products? (3)
- (1) 89%
- (2) 97.1%
- (3) 96.1%
- (4) 86.1%
- (5) None of these
4. King Vijay Saw, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Vijay was having initially? (2)
- (1) 1,50,000 kg
- (2) 1,49,600 kg
- (3) 1,51,600 kg
- (4) 1,52,600 kg
- (5) None of these
5. Anjali’s Mathematics test had 75 problems i.e., 10 Arithmetic, 30 Algebra and 35 geometry problems. Although she answered 70% of the Aritmetic, 40% of the Algebra and 60% of the geometry problems correctly, She did not pass the test because she got less than 60% of the problems right. How many more questions she would have needed to answer correctly to earn a 60% passing grade? (2)
- (1) 4
- (2) 5
- (3) 6
- (4) 7
- (5) 8