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Aptitude · Q69

Problems On H.C.F And L.C.M

Competitive Exams · Aptitude · question 69

Q69

A number which when divided by 10 leaves a remainder of 9, when divided by 9 leaves a remainder of 8, and when divided by 8 leaves a remainder of 7, is = ?

A.
1539
B.
539
C.
359
Answer
D.
1359

Answer: Option C

Solution

Answer: Option C
Solution:
10 - 9 = 1
9 - 8 = 1
8 - 7 = 1
∴ LCM of (10, 9, 8) = 5 × 2 × 9 × 4 = 360
∴ Required result = 360 - 1 = 359