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Aptitude · Q468

Number System

Competitive Exams · Aptitude · question 468

Q468

217 × 217 + 183 × 183 = ?

A.
79698
B.
80578
Answer
C.
80698
D.
81268
E.
None of these

Answer: Option B

Solution

Answer: Option B
Solution:
= (217 × 217) + (183 × 183)
= (217)2 + (183)2
= (200 + 17)2 + (200 - 17)2
= (a + b)2 + (a - b)2
= 2(a2 + b2), where a = 200, b = 17
= 2 [(200)2 + (17)2 ]
= 2 [40000 + 289]
= (2 × 40289)
= 80578
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