1. A, B and C are partners in a business with capitals Rs. 5000, Rs. 6000 and Rs. 4000 respectively. A gets 30% of the profit for managing the business and the balance is divided in the ratio of their capitals. At the end of the year A gets Rs. 200 more than B and C together. Find the total profit. (1)
- (1) Rs. 3000
- (2) Rs. 3600
- (3) Rs. 2500
- (4) Rs. 3500
- (5) None of these
2. A thief, after committing the burglary, started fleeing at 12 noon, at a speed of 60 kmph. He was then chased by a policeman M who started the chase 15 minutes after the thief has started, at a speed of 65 kmph. At what time did M catch the thief? (4)
- (1) 3:30 PM
- (2) 2:45 PM
- (3) 4:15 PM
- (4) 3:15 PM
- (5) None of these
3. A blind man lives in an apartment containing 2 rooms. Each day before going to work he enters any one room randomly, picks up a bag and leaves home. One of the rooms contains 3 blue, 4 green and 5 red bags and the other contains 2 blue, 1 green and 3 red bags. What is the probability that he takes a green bag to work? (2)
- (1) 1/2
- (2) 1/4
- (3) 1/3
- (4) 1/6
- (5) None of these
4. Akshay has agreed to mow the farm lawn, which is 40 m by 80 m rectangle. The mower mows a 2 m wide strip. If Akshay starts at one corner and mows around the lawn towards the center, about how many times would he go round before he has mowed half the lawn? (3)
- (1) 3
- (2) 4.5
- (3) 4
- (4) 5
- (5) 2.5
5. A student took five papers in an examination, where the full marks were same for each paper. His marks in these papers were in the proportion of 6:7:8:9:10. In all papers together, the candidate obtained 60% of the total marks. What is the number of papers in which he got more than 60% marks? (2)
- (1) 3
- (2) 2
- (3) 4
- (4) 1
- (5) 5