Find 1 + $\dfrac{1}{2} + \dfrac{1}{4}$ +..........up to 5 terms

Which least number when added to 2000 makes it exactly divisible by 19?

1/4 of a number subtracted from 1/3 of the number gives 12. The Number is

Three fifth of one fourth of a number is 90. The number is?

The least square number which is divisible by 6, 8 and 15 is:

Find the least number which when divided
separately by 15, 20, 36 and 48 leaves 3 as remainder
in each case.

The smallest 3 digit prime number is:

Which one of the following numbers is exactly divisible by 11?

(?) - 19657 - 33994 = 9999

$\dfrac{753 \times 753 + 247 \times 247 - 753 \times 247}{753 \times 753 \times 753 + 247 \times 247 \times 247}$=?