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Question : Directions: If 6 @ 4 @ 7 = 101 and 2 @ 5 @ 11 = 150, then what is the value of A in A @ 8 @ 9 = 289?

Option 1: 5

Option 2: 8

Option 3: 12

Option 4: 17


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 12


Solution : Given:
6 @ 4 @ 7 = 101, 2 @  5 @ 11 = 150

Use the following operations in place of the given symbols @.
Like, 6 @ 4 @ 7 = 101 i
= 6 2 + 4 2 + 7 2 = 36 + 16 + 49 = 101
And, 2 @ 5 @ 11 = 150
= 2 2 + 5 2 + 11 2 = 4 + 25 + 121 = 150
Similarly, A @ 8 @ 9 = 289
⇒ A 2 + 8 2 + 9 2 = 289
⇒ A 2 + 64 + 81 = 289
⇒ A 2 + 145 = 289
⇒ A 2 = 289 – 145
⇒ A 2 = 144
⇒ A = 144
⇒ A = 12

So, the value of A is equal to 12. Hence, the third option is correct.

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