If the signs '+' and 'x' are interchanged, then which of the following would be correct?
Answer
Correct Answer : a ) 5 – 9 × 36 ÷ 12 + 2 = -10
Explanation :Let's check each option by interchanging the signs:
A. 5 – 9 × 36 ÷ 12 + 2 = 5 – 9 + 36 ÷ 12 x 2
5 – 9 + 36 ÷ 12 x 2 = 5 - 9 + 3 x 2
⇒ 5 - 9 + 6
⇒ 5 - 15
⇒ -10
B. 10 + 9 ÷ 3 x 4 - 2 = 10 x 9 ÷ 3 + 4 - 2
⇒ 10 x 9 ÷ 3 + 4 - 2
⇒ 10 x 3 + 4 - 2
⇒ 30 + 4 - 2
⇒ 34 - 2 = 32
C. 100 - 81 ÷ 27 x 3 + 6 = 100 - 81 ÷ 27 + 3 x 6
⇒ 100 - 81 ÷ 27 + 3 x 6
⇒ 100 - 3 + 3 x 6
⇒ 100 - 3 + 18
⇒ 100 - 21 = 79
D. 125 ÷ 25 x 5 + 25 - 30 = 125 ÷ 25 + 5 x 25 - 30
⇒ 125 ÷ 25 + 5 x 25 - 30
⇒ 5 + 5 x 25 - 30
⇒ 5 + 125 - 30
⇒ 130 - 30 = 100
We can see that only option A is correct equality after interchanging the mathematical operator's signs as given in the question.
Hence, (A) is the correct answer.
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