**1. If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is/are true? **

**2. A ladder is touching a wall and the base of the ladder is 15 m away from the wall. When the ladder is pulled away from the wall by 2 m, it becomes parallel to the ground. Find the distance of the initial point of contact of the ladder and the wall from the ground. **

**3. Find the number of numbers from 1 to 100 that are divisible by 2 or 3 or 5 **

**4. In a party of 40 people, everyone shakes hands with all the other persons exactly once. What is the total number of handshakes happening? **

**5. `2^73 – 2^72 – 2^71` is the same as **

**6. How many 3 digit even numbers can be formed such that if one of the digits is 5, then the next digit is 7? **

**7. Find the least number which when divided by 5 and 9 will leave remainders of 3 and 7 respectively. **

**8. In a 300m race, A beats B by 24m or 6 seconds. Find the time taken by A to finish the race. **

**9. A tank can be filled in x hours, but because of a leak, it takes 40 hours to fill the tank. Find x if the leak can empty the tank in 60 hours. **

**10. X, Y and Z have a total of Rs.224 with them. If their shares are increased by Rs.5, 9 and 2 respectively, then the ratio of their amounts is 3:2:1. Find the original amount with Y. **