Question:
@ (A,B) = average of A and B
*(A,B) = product of A and B
/(A,B) = A divided by
Which expression gives the sum of A, B, and C?
@ (A,B) = average of A and B
*(A,B) = product of A and B
/(A,B) = A divided by
Which expression gives the sum of A, B, and C?
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Test expressions with concrete values to check if the structure reproduces the intended arithmetic.
Updated On: Aug 13, 2025
- *(@(*( @(B, A), 2), C), 3)
- /(@(*( @(B, A), 3), C), 2)
- /(*(@(B, A), 2), C), 3)
- None of these
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The Correct Option is A
Solution and Explanation
To solve the problem, we need to understand the given expressions:
- @(A,B): This is the average of A and B, calculated as (A + B) / 2.
- *(A,B): This is the product of A and B, calculated as A * B.
- /(A,B): This is A divided by B, calculated as A / B.
We need to find the expression that gives the sum of A, B, and C, which is A + B + C. Let's analyze each option step by step:
- *(@(*( @(B, A), 2), C), 3)
Breaking it down:
- @(B, A) = (B + A) / 2
- *( @(B, A), 2) = ((B + A) / 2) * 2 = B + A
- @(*( @(B, A), 2), C) = (B + A + C) / 2
- *(@(*( @(B, A), 2), C), 3) = ((B + A + C) / 2) * 3 = (B + A + C) * 1.5
Clearly, this is incorrect as we need to have A + B + C, not (A + B + C) * 1.5.
- /(@(*( @(B, A), 3), C), 2)
Breaking it down:
- @(B, A) = (B + A) / 2
- *( @(B, A), 3) = ((B + A) / 2) * 3 = (B + A) * 1.5
- @(*( @(B, A), 3), C) = ((B + A) * 1.5 + C) / 2
- /(@(*( @(B, A), 3), C), 2) = (((B + A) * 1.5 + C) / 2) / 2 = ((B + A) * 1.5 + C) / 4
This expression does not result in A + B + C.
- /(*(@(B, A), 2), C), 3)
Breaking it down:
- @(B, A) = (B + A) / 2
- *(@(B, A), 2) = ((B + A) / 2) * 2 = B + A
- /(*( @(B, A), 2), C) = (B + A) / C
- /(*(@(B, A), 2), C), 3) = ((B + A) / C) / 3
This also does not match A + B + C.
The expression evaluated above correctly is given in:
*(@(*( @(B, A), 2), C), 3)
The correct expression for the sum A + B + C is None of these.
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