$1 \frac{5}{6} + 2 \frac{3}{5} + 4 \frac{2}{3} = ?$

$A$ fraction becomes $4$ when $1$ is added to both the numerator and denominator; and it becomes $7$ when $1$ is subtracted from both the numerator and denominator. The numerator of the given fraction is

$(8.5 \times 8.5 + 93.5 + 5.5 \times 5.5)^{1/2}$ is equal to ...........

If the number $583x437$ is completely divisible by $9$,then the smallest whole number in the place of the blank digit $x$ will be

Find a number,one-seventh of which exceeds its eleventh part by $100$.

$A$ number when divided by $44$, gives $432$ as quotient and $0$ as remainder. What will be the remainder when dividing the same number by $31$?