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Aptitude · Q511

Number System

Competitive Exams · Aptitude · question 511

Q511

(46)2 - (?)2 = 4398 - 3066

A.
16
B.
28
Answer
C.
36
D.
42
E.
None of these

Answer: Option B

Solution

Answer: Option B
Solution:
Let (46)2 - x2 = 4398 - 3066
Then, (46)2 - x2 = 1332
⇒ x2 = (46)2 - 1332
∴ x2 = (50 - 4)2 - 1332
x2 = (50)2 + 42 - 2 × 50 × 4 - 1332
x2 = 2500 + 16 - 400 - 1332
x2 = 2516 - 1732
x2 = 784
x = 28