Question 46

Find the least number which when divided by 20, 25, 35 and 40 leaves remainder 14, 19, 29 and 34 respectively?

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.

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