Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
4 ÷ 32 + 8 × 9 – 5 = 35
Option 1: × and –
Option 2: ÷ and +
Option 3: ÷ and ×
Option 4: × and +
Correct Answer: ÷ and +
Solution :
Given:
4 ÷ 32 + 8 × 9 – 5 = 35
After interchanging signs according to the given options.
First option:
× and –
Solving the L.H.S. of the equation –
4 ÷ 32 + 8 – 9 × 5 = 35
0.125 + 8 – 45
–36.875
≠
35
Second option:
÷ and +
Solving the L.H.S. of the equation –
4 + 32 ÷ 8 × 9 – 5 = 35
4 + 4 × 9 – 5
40 – 5
35 = 35 (L.H.S. = R.H.S.)
Third option:
÷ and ×
Solving the L.H.S. of the equation
4 × 32 + 8 ÷ 9 – 5 = 35
4 × 32 + 0.88 – 5
123.88
≠
35
Fourth option:
× and +
Solving the L.H.S. of the equation –
4 ÷ 32 × 8 + 9 – 5 = 35
0.125 × 8 + 9 – 5
5
≠
35
So, only the second option satisfies the R.H.S. of the equation. Hence, the second option is correct.
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