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
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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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