Question : Directions: Which of the following interchange of signs would make the given equation correct?
52 + 36 ÷ 9 × 3 – 1 = 210
Option 1: – and +
Option 2: × and +
Option 3: ÷ and ×
Option 4: ÷ and –
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Correct Answer: × and +
Solution :
Given:
52 + 36 ÷ 9 × 3 – 1 = 210
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
– and +
Solving the L.H.S. of the equation –
= 52 – 36 ÷ 9 × 3 + 1
= 52 – 12 + 1
= 41 ≠ 210
Second option:
× and +
Solving the L.H.S. of the equation –
= 52 × 36 ÷ 9 + 3 – 1
= 208 + 3 – 1
= 210 = R.H.S.
Third option:
÷ and ×
Solving the L.H.S. of the equation –
= 52 + 36 × 9 ÷ 3 – 1
= 52 + 108 – 1
= 159 ≠ 210
Fourth option:
÷ and –
Solving the L.H.S. of the equation –
= 52 + 36 – 9 × 3 ÷ 1
= 52 + 36 – 27
= 61 ≠ 210
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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