# CDAC CAT SectionA Practice Questions

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.