Question

find the smallest number which when divided by 20 25 35 and 40 leaves a remainder of 14 19 29 and 34 respectively

Answer 1

lCM of 20, 25, 35, and 40 = 1400

Now,

20 - 6 = 14

25 - 6 = 19

35 - 6 = 29

40 - 6 = 34

So, (1400 - 6 = 1394) will have remainder of 14, 19, 29, and 34 when divided by 20, 25, 35, and 40 resp.

Ans: 1394