Select the correct combination of mathematical signs that can sequentially replace the @ signs and balance the given equation.
15 @ 12 @ 9 @ 3 @ 5 @ 14
Answer
Correct Answer : b ) +, ÷, x, -, =
Explanation :In the given question, we need to replace the @ sign with the mathematical operator signs and find a correct combination that will balance the equation
We will check each option one by one until we find the correct combination.
Checking option A:
15 @ 12 @ 9 @ 3 @ 5 @ 14
Replace @ sequentially by ÷, x, -, +, =
15 ÷ 12 x 9 - 3 + 5 = 14
Apply the BODMAS rule to LHS and solve:
\({15 \over 12}\)x 9 - 3 + 5
\({45 \over 4}\)x 9
\({53 \over 4}\)
As LHS is not equal to RHS
Option A is not correct.
Checking option B:
Replacing @ sequentially by +, ÷, x, -, =
15 + 12 ÷ 9 x 3 - 5 = 14
Apply the BODMAS rule to LHS and solve:
15 + 12 ÷ 9 x 3 - 5 = 14
15 + \({12 \over 9}\)x 3 - 5
15 + 4 - 5
19 - 5
14
Thus, L.H.S. = R.H.S.
Therefore, the correct equation is:
15 + 12 ÷ 9 x 3 - 5 = 14
Other options can be also checked in a similar manner.
Hence, (b) is the correct answer.
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