Question : Directions: If (3)2 @ 1 * 7 = 98 and (4)2 @ 2 * 16 = 178, then (5)2 @ 3 * 9 = ?
Option 1: 218
Option 2: 262
Option 3: 253
Option 4: 259
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Correct Answer: 262
Solution :
Given:
(3)
2
@ 1 * 7 = 98, (4)
2
@ 2 * 16 = 178
Use the following operations in place of the given symbols @ and * –
Like, (3)
2
@ 1 * 7 = 98
(3)
2
× 10 + 1 + 7
= 9 × 10 + 1 + 7
= 90 + 1 + 7 = 98
And, (4)
2
@ 2 * 16 = 178
(4)
2
× 10 + 2 + 16
= 16 × 10 + 2 + 16
= 160 + 2 + 16 = 178
Similarly, (5)
2
@ 3 * 9 = ?
= (5)
2
× 10 + 3 + 9
= 25 × 10 + 3 + 9
= 250 + 3 + 9 = 262
So, the equation is equal to 262. Hence, the second option is correct.
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