Number System - Recap

The remainder of the term (9 + 9^2 + ... + 9^(2n + 1)) when divided by 6 is:

• 1
• 4
• 2
• 3

What is the least value of x + y, if the 10-digit number 780x533y24 is divisible by 88?

• 4
• 3
• 1
• 2

A six-digit number is divisible by 33. If 54 is added to the number, then the new number formed will also be divisible by:

• 3
• 2
• 5
• 7

The sum of the two numbers is 98. The difference between the two numbers is 28. Find one of the two numbers.

• 32
• 62
• 58
• 35

Which number among 11368, 11638, 11863 and 12638 is divisible by 11?

• 11368
• 12638
• 11638
• 11863

What is the smallest three-digit number which when divided by 2, 3 and 4 leaves remainder 1 in each case?

• 111
• 105
• 101
• 109

What is the value of the expression 1 - 2 + 3 - 4 + 5 - 6 ..... to 100 terms?

• -50
• -55
• -49
• -60

What are the last three digits of the multiplication 654321 × 123456?

• 376
• 344
• 324
• 352

If 7A425B is divisible by 36, then what is the value of A - B?

• 0
• 5
• 1
• 2

The product of two consecutive prime numbers is 7387. What is the difference between the two numbers?

• 3
• 6
• 2
• 4