ABC26GN1195 · Simplification

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

$2 \times 13 \frac{3}{4} \times 5 \frac{1}{4}+5 \frac{1}{4} \times 5 \frac{1}{4}+13 \frac{3}{4} \times 13 \frac{3}{4}=$ ?
(a)311
(b)316
(c)361
(d)380
Answer
Answer (as printed): C
Explanation
Given exp. $=\left(13 \frac{3}{4}\right)^{2}+\left(5 \frac{1}{4}\right)^{2}+2 \times 13 \frac{3}{4} \times 5 \frac{1}{4}$ $$=\left(13 \frac{3}{4}+5 \frac{1}{4}\right)^{2}=\left(\frac{55}{4}+\frac{21}{4}\right)^{2}=\left(\frac{76}{4}\right)^{2}=(19)^{2}=361 .$$

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

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