How many of the following numbers are divisible by 132 ?
264, 396, 462, 792, 968, 2178, 5184, 6336
A. 4
B. 5
C. 6
D. 7
E. None of these
Answer: Option A
Solution(By Examveda Team)
132 = 4 x 3 x 11So, if the number divisible by all the three number 4, 3 and 11, then the number is divisible by 132 also.
264 ⇒ 11, 3, 4 (/)
396 ⇒ 11, 3, 4 (/)
462 ⇒ 11, 3 (X)
792 ⇒ 11, 3, 4 (/)
968 ⇒ 11, 4 (X)
2178 ⇒ 11, 3 (X)
5184 ⇒ 3, 4 (X)
6336 ⇒ 11, 3, 4 (/)
Therefore the following numbers are divisible by 132 : 264, 396, 792 and 6336.
Required number of number = 4.
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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