Question : Directions: Which two signs should be interchanged to make the given equation correct?
912 – 456 × 28 + 390 ÷ 2 = 444
Option 1: ÷ and –
Option 2: ÷ and +
Option 3: – and +
Option 4: + and ×
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Correct Answer: ÷ and –
Solution :
Given:
912 – 456 × 28 + 390 ÷ 2 = 444
Replace the given symbols in the options one by one with the original symbols in the given equation and apply the BODMAS rule.
First option:
÷ and –
= 912 ÷ 456 × 28 + 390 – 2
= 2 × 28 + 390 – 2
= 56 + 390 – 2
= 446 – 2
= 444
Second option:
÷ and +
= 912 – 456 × 28 ÷ 390 + 2
= 912 – 456 × 0.07 + 2
= 912 – 31.92 + 2
= 914 – 31.92
= 882.08 ≠ 444
Third option:
– and +
= 912 + 456 × 28 – 390 ÷ 2
= 912 + 456 × 28 – 195
= 912 + 12768 – 195
= 13680 – 195
= 13485 ≠ 444
Fourth option:
+ and ×
= 912 – 456 + 28 × 390 ÷ 2
= 912 – 456 + 28 × 195
= 912 – 456 + 5460
= 6372 – 456
= 5916 ≠ 444
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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