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Aptitude · Q548

Number System

Competitive Exams · Aptitude · question 548

Q548

The difference between the squares of any two consecutive integers is equal to :

A.
an even integer
B.
difference of given integers
C.
sum of given integers
Answer
D.
product of given integers

Answer: Option C

Solution

Answer: Option C
Solution:
Let the two consecutive integers be a and (a + 1).
Then,
(a + 1)2 - a2
= a2 + 1 + 2a - a2
= (2a + 1)
= (a + a + 1) = sum of given integers