ABC26GN1200 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:

The simplified value of $1998^{2}-1997^{2}+1996^{2}-1995^{2}$ $+1994^{2}-1993^{2}$ is

(a)11953

(b)11958

(c)11963

(d)11973

Answer

Answer (as printed): D

Explanation

Given $\exp .=(1998+1997)(1998-1997)+(1996$ $$\begin{aligned} & +1995)(1996-1995)+(1994+1993)(1994-1993) \\ & =1998+1997+1996+1995+1994+1993=11973 . \end{aligned}$$

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

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