Dr. Sanjeev Verma and R.K. Tyagi Solutions for Chapter: Playing With Whole Numbers, Exercise 12: CHAPTER-END EXERCISES

Find the largest number which exactly divides $280$ and $1245$ leaving remainders $4$ and $3$ respectively.

In a seminar, the number of participants in Hindi, English and Mathematics are $106, 159$ and $265$ respectively. Find the minimum number of rooms required, if in each room the same number of participants is to be seated and all of them are for the same subject.

Find the smallest number which when divided by $21, 28, 36$ and $45$ leaves a remainder $9$ in each case.

Find the smallest number which when added to $9$ is exactly divisible by $12, 15 , 20$ and $27$.

What is the least number that must be subtracted from $3000$ so that the difference is divisible exactly by $32, 36$ and $48$?

Find the least $4$-digit number which when divided by $24, 16$ and $12$ leaves a remainder $5$ in each case.

Find the greatest $4$-digit number, which when divided by $20, 24$ and $45$ leaves a remainder of $18$ in each case.

Find the least number of flowers so that bunches of $12, 15$ or $20$ flowers can be made.