Question : What should come in place of the question mark (?) in the following equation?
(?)2 + ? + 123 = 132 + 222 + 2715
Option 1: 38
Option 2: 40
Option 3: 34
Option 4: 50
Correct Answer: 40
Solution :
Let the question mark be x.
(x)
2
+ x + 12
3
= 13
2
+ 22
2
+ 2715
⇒ (x)
2
+ x + 1728 = 169 + 484
+ 2715
⇒ (x)
2
+ x + 1728 = 3368
⇒ (x)
2
+ x = 3368 – 1728
⇒ (x)
2
+ x = 1640
⇒ (x)
2
+ x = 40
2
+ 40
Hence, the correct answer is 40.
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