1. If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be?
2. If a number 968A96B is to be divisible by 72, the respective values of A and B can be?
3. The number (6n² + 6n) for any natural number n is always divisible by which maximum number?
4. It is given that (2³² + 1) is exactly divisible by a certain number. Which of the following is also definitely divisible by the same number?
5. The least perfect square number which is divisible by 3, 4, 5, 6, and 8 is?
6. Monica, Veronica, and Rachat begin to jog around a circular stadium. They complete their revolutions in 42s, 56s, and 63s, respectively. After how many seconds will they be together at the starting point?
7. In a meet, persons from five different places have assembled in Bangalore High School. From the five places, the persons come to represent are 42, 60, 210, 90, and 84. What is the minimum number of rooms that would be required to accommodate so that each room has the same number of occupants and occupants are all from the same place?
8. The product of two numbers is 12960, and their HCF is 36. How many pairs of such numbers can be formed?
9. Calculate the H.C.F. of 2/3, 16/81, and 8/9?
10. The H.C.F. of two numbers is 13. If these two numbers are in the ratio of 15:11, then find the numbers?
11. The L.C.M. of two numbers is 2310, and their H.C.F. is 30. If one of these numbers is 210, the second number is?