Question : Directions: Which two signs should be interchanged to make the given equation correct?
756 ÷ 252 + 89 × 180 – 63 = 384
Option 1: + and ×
Option 2: ÷ and –
Option 3: – and +
Option 4: ÷ and +
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Correct Answer: + and ×
Solution :
Given:
756 ÷ 252 + 89 × 180 – 63 = 384
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
+ and ×
= 756 ÷ 252 × 89 + 180 – 63
= 3 × 89 + 180 – 63
= 267 + 180 – 63
= 447 – 63
= 384
Second option:
÷ and –
= 756 – 252 + 89 × 180 ÷ 63
= 756 – 252 + 89 × 2.86
= 756 – 252 + 254.54
= 1010.54 – 252
= 758.54 ≠ 384
Third option:
– and +
= 756 ÷ 252 – 89 × 180 + 63
= 3 – 89 × 180 + 63
= 3 – 16020 + 63
= 66 – 16020
= –15954 ≠ 384
Fourth option:
÷ and +
= 756 + 252 ÷ 89 × 180 – 63
= 756 + 2.83 × 180 – 63
= 756 + 509.4 – 63
= 1265.4 – 63
= 1202.4 ≠ 384
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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