Question 31
A number is divisible by 5 and 6. It may not be divisible by

(A) 10
(B) 15
(C) 30
(D) 60

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Solution

Any number divisible by 5 and 6 will be either 30 or multiple of 30, but 30 is not divisible by 60.
Example:
(i) 90 is divisible by 5 and 6. It is also divisible by 15 and 30, but not divisible by 60
(ii) Similarly, 270 is divisible by 5,6,15 and 30 but not 60.

Hence option D is the correct answer.

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Divisilibility Tests for 5

Standard VI Mathematics

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Question 31 A number is divisible by 5 and 6. It may not be divisible by (A) 10 (B) 15 (C) 30 (D) 60

Any number divisible by 5 and 6 will be either 30 or multiple of 30, but 30 is not divisible by 60. Example: (i) 90 is divisible by 5 and 6. It is also divisible by 15 and 30, but not divisible by 60 (ii) Similarly, 270 is divisible by 5,6,15 and 30 but not 60. Hence option D is the correct answer.

Question 31
A number is divisible by 5 and 6. It may not be divisible by

(A) 10
(B) 15
(C) 30
(D) 60