Abhijit Guha Solutions for Chapter: Number System, Exercise 2: Practice Problems Level 2

The greater of the two numbers whose product is $900$ and sum exceeds their difference by $30$ is:

When $\mathrm{n}$ is divided by $4$ , the remainder is $3$. The remainder when $2\mathrm{n}$ is divided by $4$ is:

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 $31$?

A number, when divided by the sum of $555$ and $445$, gives two times their differences as quotient and $30$ as the remainder. The number is:

How many times the keys of a typewriter have to pressed in order to write numbers from $121$ to $1,346$?

$\mathrm{N}$ is the largest two-digit number, which, when divided by $3,4$ and $6$ leaves, the remainder $1,2$ and $4$, respectively. What is the remainder when $\mathrm{N}$ is divided by $5$?

The digit in the unit's place of $(131{)}^{64}+(51{)}^{50}-(256{)}^{66}+(325{)}^{45}-(26{)}^4+199$ is:

The first $44$ positive integers are written in an order to form a larger number. $\mathrm{N}=1 2 3 4 5 6\dots ..43 44$. When $\mathrm{N}$ is divided by $45$ , then the remainder is: