If an integer is divisible by 6 and by 9, then the integer must be divisible by which of the following numbers?

Find the smallest number which leaves 22, 35, 48 and 61 as remainders when divided by 26, 39, 52 and 65 respectively.

• [A] 760
• [B] 776
• [C] 766
• [D] 780
• [E] None of these

A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:

• [A] 145
• [B] 253
• [C] 370
• [D] 352

The least number which when divided by 4, 6, 8, 12 and 16 leaves a remainder of 2 in each case is

• [A] 46
• [B] 48
• [C] 50
• [D] 56
• [E] None of these

How many prime numbers between 1 and 100 are factors of 7150?

• [A] 6
• [B] 7
• [C] 4
• [D] 5
• [E] 3

A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were?

• [A] 991
• [B] 1009
• [C] 997
• [D] 999
• [E] None of these