ABC26GN1196 · Simplification

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

The simplification of $\left(\frac{75983 \times 75983-45983 \times 45983}{30000}\right)$ yields the result
(a)121796
(b)121866
(c)121956
(d)121966
Answer
Answer (as printed): D
Explanation
Given exp. $=\frac{(75983)^{2}-(45983)^{2}}{75983-45983}$ $$\begin{aligned} & =\frac{(75983-45983)(75983+45983)}{(75983-45983)} \\ & =75983+45983=121966 . \end{aligned}$$

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

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