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28 May 2019, 00:08
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If a is a positive integer, then which of the following must be true of (a − 1)(a)(a + 1)?
I. It is always divisible by 3.
II. It is always divisible by 4.
III. It is non-prime.
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
I. It is always divisible by 3.
II. It is always divisible by 4.
III. It is non-prime.
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
Updated on: 28 May 2019, 00:40
Originally posted by Archit3110 on 28 May 2019, 00:23.
Last edited by Archit3110 on 28 May 2019, 00:40, edited 1 time in total.
Last edited by Archit3110 on 28 May 2019, 00:40, edited 1 time in total.
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Bunuel
If a is a positive integer, then which of the following must be true of (a − 1)(a)(a + 1)?
I. It is always divisible by 3.
II. It is always divisible by 4.
III. It is non-prime.
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
I. It is always divisible by 3.
II. It is always divisible by 4.
III. It is non-prime.
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
we can test the given relation (a − 1)(a)(a + 1) for values of a=1,2,3,4 so on
and see that only option 1 & 3 is valid always
IMO D
28 May 2019, 00:37
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Bunuel
If a is a positive integer, then which of the following must be true of (a − 1)(a)(a + 1)?
I. It is always divisible by 3.
II. It is always divisible by 4.
III. It is non-prime.
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
I. It is always divisible by 3.
II. It is always divisible by 4.
III. It is non-prime.
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
IMO D.
I. three consecutive numbers always div. by 3
II. check a=2, not possible.
III. The number will have at least one power of 2 and 3 each, so non prime.
