Question

What should come in place of question mark\((?)\)in the following questions?
\((32)^2+\sqrt{?}-(23)^2=536\)

• A. 1764
• B. 1849
• C. 1521
• D. 1681
• E. None of these

Answer 1

The Correct Option is D

• Simplify the squares-
  (32)²=32×32=1024
  (23)²=23×23=529
• Now the equation becomes:
  1024+\(\sqrt{?}\)-529=536
• Simplify the constants
  1024−529=495
• Now the equation is:
  495+\(\sqrt{?}\)=536
• Isolate\(\sqrt{?}\)
  \(\sqrt{?}\)=536−495=41
  To remove the square root, square both sides:
  ?=41²=41×41=1681

Thus, the value of ??? is:1681

The Correct option is(D)