Question : Directions: After interchanging which two signs, the value of the given equation will be 11?
32 + 3 – 12 ÷ 18 × 9
Option 1: ÷ and –
Option 2: ÷ and ×
Option 3: + and –
Option 4: × and –
Correct Answer: ÷ and –
Solution :
Given:
32 + 3 – 12 ÷ 18 × 9 = 11
Replace the given symbols according to the options one by one with the original symbols in the given equation.
First option:
÷ and –
Solving the L.H.S. of the equation –
= 32 + 3 ÷ 12 – 18 × 9
= 32 + 0.25 – 162
= –129.75 ≠ 11
Second option:
÷ and ×
Solving the L.H.S. of the equation –
= 32 + 3 –12 × 18 ÷ 9
= 35 – 24
= 11 = R.H.S.
Third option:
+ and –
Solving the L.H.S. of the equation –
= 32 – 3 + 12 ÷ 18 × 9
= 29 + 6
= 35 ≠ 11
Fourth option:
× and –
Solving the L.H.S. of the equation –
= 32 + 3 × 12 ÷ 18 – 9
= 32 + 2 – 9
= 25 ≠ 11
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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