Abhijit Guha Solutions for Chapter: HCF and LCM, Exercise 1: Practice Problems Level 1

The least multiple of $7$, which leaves the remainder $4$, when divided by any of $6, 9, 15$ and $18$ is

The number nearest to $43582$divisible by each of $25, 50$ and $75$ is_____.

The sum of two numbers is $36$ and their HCF and LCM are $3$ and $105$ respectively. The sum of the reciprocals of two numbers is

Three sets of English, Mathematics, and Science books containing $336, 240, 96$ books respectively have to be stacked in such a way that all the books are stored subject-wise and the height of each stock is the same. Total number of stocks will be

Three men step off together from the same spot. Their steps measure $63 \mathrm{cm}, 70 \mathrm{cm}$ and $77 \mathrm{cm}$ respectively. The minimum distance each should cover so that all can cover the distance in complete steps is

The sum of the HCF and LCM of two numbers is $680$ and the LCM is $84$ times the HCF. If one of the number is $56$, the other is

The greatest number which when divided by $989$ and $1,327$ leaves remainders $5$ and $7$ respectively is

The least number which when divided by $5, 6$ or $8$ leaves a remainder of $3$ but when divided by $9$ leaves no remainder is