Rahul Sofat Solutions for Chapter: Playing with Numbers, Exercise 12: EXEMPLAR PROBLEMS

The number of distinct prime factors of the smallest $5$-digit number is:

The number $7254*98$ is divisible by $22$, the digit at $*$ is:

A number is divisible by $5$ and $6$. It may not be divisible by:

If LCM of two numbers is $180$, then which of the following is not the HCF of the numbers?

If a number with three or more digits is divisible by $6$, then the number formed by its last two digits (i.e., ones and tens) is also divisible by $6$.

LCM of two or more numbers is divisible by their HCF.

A merchant has $120$ $\mathrm{L}$ of oil of one kind, $180 \mathrm{L}$ of another kind and $240 \mathrm{L}$ of a third kind.

He wants to sell the oil by filling the three kinds of oil in tins of equal capacity. What shoud be the greatest capacity of such a tin?

Three brands $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ of biscuits are available in packets of $12, 15$ and $21$ biscuits respectively. If a shopkeeper wants to buy an equal number of bicuits, of each brand, what is the minimum number of packets of each brand, he should buy?