Bumping for discussion. Try this question!

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We are asked to find 3★4, so we need to find ★

Statement 1:

2★2=4 so ★ could be * or +

NS

Statement 2:

(4★2)-(2★2)=2 so ★ could be - or + (just try some values)

NS

Both statements together: The only possible option is + (Addition) S => C is the right answer

Statement 1:

We plug in the operations and check which ones are viable, for example \(2+2=4\) and \(2*2=4\) make sense but \(2-2=4\) doesn't. So ★ can be either addition or multiplication. Yet \(3+4\) and \(3*4\) give different values so insufficient.

Statement 2:

Addition: \(6 - 4 = 2\), accept.
Multiplication: \(8-4=2\), reject.
Subtraction: \(2 - 0 = 2\), accept.
Division: \(2 - 1 = 2\), reject.
So from statement 2 ★ can be an addition for multiplication, resulting in different values for 3★4. Insufficient.

Combined:

The only operation is in both statements is addition, sufficient.

Ans: C
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