1. In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun’s weight is greater than 60 kg but less than 70 kg. His mother’s view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun? (1)
- (1) 67 kg
- (2) 69 kg
- (3) 71 kg
- (4) 74 kg
- (5) None of these
2. A, B anc C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they again at the starting point? (4)
- (1) 42 min 36 sec
- (2) 26 min 18 sec
- (3) 45 min
- (4) 46 min 12 sec
- (5) None of these
3. In a box carrying one dozen of oranges, one-third have become bad. If 3 oranges are taken out from the box at random, what is the probability that at least one orange out of the three oranges picked up is good? (2)
- (1) 52/55
- (2) 54/55
- (3) 44/45
- (4) 54/65
- (5) None of these
4. A can complete a piece of work in 4 days. B takes double the time taken by A, while C takes double the time to that of B, and D takes double than that of C to complete the same task. They are paired in groups of two each. One pair takes two-thirds the time needed by the second pair to complete the work. Which will be the first pair? (4)
- (1) B and C
- (2) A and B
- (3) C and D
- (4) A and D
- (5) None of these
5. Two buses start at the same time from two bus stations and proceed towards each other at the rate of 20kmph and 25 kmph respectively. When they meet, one bus may have travelled 80 kms more than the other. Find the distance (in km) between the two bus stations. (3)
- (1) 700
- (2) 650
- (3) 720
- (4) 750
- (5) None of these