ABC26GN0290 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

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

(a)an even number

(b)difference of given numbers

(c)sum of given numbers

(d)product of given numbers

Answer

Answer (as printed): C

Explanation

Let the two consecutive integers be a and (a + 1). Then, $(a+1)^{2}-a^{2}=a^{2}+1+2 a-a^{2}=(2 a+1)=(a+a+1)=$ sum of given integers.

Explanation as extracted from the printed page; notation may be imperfect.