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Find the smallest integer greater than 100 which leaves a remainder 1 when divided by each of 2, 3 and 5.

When a number is reduced by 25%, the resulting value is 36 more than 60% of the number's initial value. What is the original number?

Find the sum of 1² + 3² + 5² + 7²……………………………….23².

Find the remainder when (5)¹⁰⁰ is divided by 7

If a, 1, b are in arithmetic progression and 1, a, b are in geometric progression, then a and b are respectively equate to _______ (where a ≠ b).

Find the smallest 4-digit number which is exactly divisible by 6, 9 and 15.

Find the third proportion of 30 and 15.

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is