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

Answer: (D)

1681

Answer 2

• 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)