Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
686 − 14 × 49 + 400 ÷ 5 = 596
Option 1: 5 and 49, ÷ and −
Option 2: 686 and 5, + and –
Option 3: 14 and 49, × and –
Option 4: 14 and 5, + and ×
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Correct Answer: 5 and 49, ÷ and −
Solution :
Given:
686 − 14 × 49 + 400 ÷ 5 = 596
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation.
First option:
5 and 49, ÷ and −
= 686 ÷ 14 × 5 + 400 − 49
= 245 + 400 − 49
= 596 = R.H.S.
Second option:
686 and 5, + and –
= 5 + 14 × 49 – 400 ÷ 686
= 5 + 686 – 0.58
= 690.42 ≠ 596
Third option:
14 and 49, × and –
= 686 × 49 – 14 + 400 ÷ 5
= 33614 – 14 + 80
= 33680 ≠ 596
Fourth option:
14 and 5, + and ×
686 − 5 + 49 × 400 ÷ 14
= 686 −1405
= 719 ≠ 596
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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