Arun Sharma Solutions for Exercise 1: Review Test 1

Find the HCF of $481$ and the number '$aaa$' where '$a$' is a number between $1$ and $9$ (both included),

The number of positive integer valued pairs $(x,y)$, satisfying $4x-17y=1$ and $x<1000$ is:

Let $a, b, c$ be distinct digits. Consider a two-digit number ‘$ab$’ and a three-digit number ‘$ccb$’ both defined under the usual decimal number system. If ${\left(ab\right)}^2=ccb$ and $ccb>300$ then the value of $b$ is:

The remainder $7^{84}$ is divided by $342$ is:

Let $x, y$ and $z$ be distinct integers, $x$ and $y$ are odd and positive, and $z$ is even and positive. Which one of the following statements can’t be true?

A boy starts adding consecutive natural numbers starting with $1$. After some time he reaches a total of $1000$ when he realises that he has made the mis­take of double counting $1$ number. Find the number double counted.

In a number system the product of $44$ and $11$ is $3414$. The number $3111$ of this system, when converted to decimal number system, becomes:

Atul is given $158$ rs.  in one rupee denominations. He has been asked to allocate them into a number of bags such that any amount required between Re $1$ and $158$ can be given by handing out a certain number of bags without opening them. What is the minimum number of bags required?