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Q7
(CISF/2025)
Science & Technology › Basic Science (Physics, Chemistry, Biology)
If * operation on the set of integers is defined as x * y = 2x + y- xy, then (3* 2)*(2*1) is :
Result
Your answer:
—
·
Correct:
A
Explanation
The operation * is defined for integers as: x * y = 2x + y - xy.
To find the value of (3 * 2) * (2 * 1), we solve the expressions inside the parentheses first:
- Calculate (3 * 2):
Substitute x = 3 and y = 2 into the formula:
3 * 2 = 2(3) + 2 - (3 × 2) = 6 + 2 - 6 = 2 - Calculate (2 * 1):
Substitute x = 2 and y = 1 into the formula:
2 * 1 = 2(2) + 1 - (2 × 1) = 4 + 1 - 2 = 3 - Final Calculation:
Now substitute these results back into the original expression (3 * 2) * (2 * 1), which becomes 2 * 3.
Using the formula again with x = 2 and y = 3:
2 * 3 = 2(2) + 3 - (2 × 3) = 4 + 3 - 6 = 1
The final result is 1, which matches option A.
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