The difference of two numbers is $1365$. On dividing the larger number by the smaller, we get $6$ as quotient and $15$ as remainder. What is the smaller number?

$A$ number is of two digits. The position of digits is interchanged and the new number is added to the original number. The resultant number will always be divisible by

The least number which when divided by $6, 9, 12, 15, 18$ leaves the same remainder $2$ in each case is

$(0.25)^{6} \div (0.125)^{2} \times (0.5)^{4} = (0.5)^{?+3}$

The sum of three numbers is $2$. The $1^{\text{st}}$ number is $\frac{1}{2}$ times the $2^{\text{nd}}$ number and the $3^{\text{rd}}$ number is $\frac{1}{4}$ times the $2^{\text{nd}}$ number. The $2^{\text{nd}}$ number is

If the sum of $4$ consecutive odd numbers is $184$,then find the largest number.