Mahabir Singh Solutions for Chapter: Playing with Numbers, Exercise 1: ACHIEVERS SECTION (HOTS)

If in a number, the difference between the sum of the digits at its odd places and that of the digits at even places is given $0$, then the number is divisible by _____.

A five digit number $xy235$ is divisible by $3$ such that $x+y<5$ , where $x$ and $y$ are single digits, then possible values of $(x,y)$ are _____.

If $1AB+CCA697$ and there is no carry on addition then the value of $B$ is _____.

If $N$ divided by $5$ leaves a remainder of $3$ then one’s digit of $N$ must be _____.

Given that the number $67y19$ is divisible by $9$, where $y$ is a single-digit. What is the least possible value of $y$?

A $3$-digit number $‘cba’$ is divisible by $3$ if _____.

If $AB\times A357B$, then the value of $B$ is _____.

In a division, a divisor is $12$ times the quotient and $5$ times the remainder. If the remainder is $48$, then dividend is _____.