Which of the following numbers is divisible by 36?
(A) 35,924 (B) 64,530 (C) 74,098 (D) 152,640 (E) 192,042
Answers
Answer:
(D)152,640
Step-by-step explanation:
It is divisible by 4 and 9
Last two digit is divisible by 4 and the sum of the digits is the multiple of 9
(D) 152,640
152,640 is divisible by 36 .
Explanation:
36 = 4 x 9
If a number is divisible by 36 then it must be divisible by 4 and 9 as well.
Divisibility test of 4 = Last two digits should be divisible by 4.
Divisibility test of 9 = Sum of all digits should be divisible by 9.
(A) 35,924
3+5+9+2+4=23 not divisible by 9.
So it is not divisible by 36.
(B) 64,530
Last two digit = 30 which is not divisible by 4.
So it is not divisible by 36.
(C) 74,098
Last two digit = 98 which is not divisible by 4.
So it is not divisible by 36.
(D) 152,640
Last two digit = 40 which is divisible by 4.
1+5+2+6+4+0=18 which is divisible by 9.
Since it is is divisible by both 4 and 9.
So it is divisible by 36.
(E) 192,042
Last two digit = 42 which is not divisible by 4.
So it is not divisible by 36.
Hence, the correct answer is (D) 152,640
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