Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Playing With Whole Numbers, Exercise 11: ASSIGNMENT 3.8

Find the greatest $4$-digit number which when divided by $36, 30, 24$ and $16$ leaves a remainder $13$ in each case.

Find the number nearest to $999$ but greater than $999$, which is exactly divisible by $5, 4$ and $10$.

Find the number nearest to $1000$ but greater than $1000$, which is exactly divisible by $8, 12$ and $18$.

Find the largest number that will divide $75, 123$ and $195$ leaving a remainder $3$ in each case.

Find the largest number which when divided by $1048$ and $1516$ leaves a remainder $4$ in each case.

Find the largest number which divides $87$ and $95$ leaving remainders $3$ and $5$ respectively.

Find the largest number which divides $2271, 3079$ and $3355$ leaving remainders $10, 20$ and $30$ respectively.

A rectangular courtyard of $10 \mathrm{m} 44 \mathrm{cm}$ breadth and $15 \mathrm{m} 12 \mathrm{cm}$ length is to be paved with same size square stones. Find the least possible number of such stones.