Question

Find the least number which when divided by 22, 27,32 will give reminder at 17,22, 27 respectively

Answer 1

9499 will be the correct answer.

Find the difference between each term and corresponding reminder. For ex here you can take as

22-17=5
27=22=5
32-27=5

then hcf of each result. here hcf will be 5

now take lcm of 22,27,32=9504

and finally,
9504-5=9499 will be ans.