Multiple Choice Questions

What is the smallest number which when divided by 20 25 35 40 leaves a remainder of 14 19 29 34 resp...........

Quantitative Aptitude (MPPCS) LCM, HCF

What is the smallest number which when divided by 20, 25, 35, 40 leaves a remainder of 14, 19, 29, 34 respectively?

1230

2387

1394

1722

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

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.

Hence, option 3 is the correct answer.

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