Question

3. For any integer a, a(a + 1) is always
(a) even integer
(c) prime integer
(b) odd integer
(d) none of these
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Answer 1

Answer:

None of these

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Answer 2

A3) The correct option is d) none of these.

• When we write a(a+1) in its original form, a(a+1) is a^2+a.
• a^2+1 cannot be the even integer, prime integer, odd integer of the integer a.
• For example, a can be 5

• a^2+1= 25+1= 26, which is even
• Now, if the integer a=10,

• Then, a^2+1= 100+1=101, which is an odd integer.
• Therefore, the correct option is d) none of these.