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Aptitude · Q132

Number System

Competitive Exams · Aptitude · question 132

Q132

a, b, c and d are negative integers. If ab + ac + ad = 0 then a × b × c × d is always

A.
Odd
B.
Even
Answer
C.
Zero
D.
None of these

Answer: Option B

Solution

Answer: Option B
Solution:
Given that ab + ac + ad = 0
Hence, out of these three terms, some are positive and some are negative. Since all of a, b, c, and d are negative integers, only that term which has an even power can be positive. Hence, the absolute value of at least one of a, b, c or d is even. Hence, a × b × c × d is also even