Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
264 + 24 × 9 ÷ 60 – 4 = 630
Option 1: 264 and 9; ÷ and −
Option 2: 264 and 9; + and –
Option 3: 4 and 24; ÷ and +
Option 4: 4 and 9; − and ×
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Correct Answer: 4 and 24; ÷ and +
Solution :
Given:
264 + 24 × 9 ÷ 60 – 4 = 630
Replace the given signs and numbers in the equation one by one with the original signs in the given equation.
First option:
264 and 9; ÷ and −
⇒ 9 + 24 × 264 − 60 ÷ 4 = 630
= 9 + 6336 − 15
= 6330 ≠ 630
Second option:
264 and 9; + and –
⇒ 9 – 24 × 264 ÷ 60 + 4 = 630
= 9 – 105.6 + 4
= –92.6 ≠ 630
Third option:
4 and 24; ÷ and +
⇒ 264 ÷ 4 × 9 + 60 – 24 = 630
= 594 + 60 – 24
= 630
Fourth option:
4 and 9; − and ×
⇒ 264 + 24 − 4 ÷ 60 × 9 = 630
= 288 − 0.6
= 287.4 ≠ 630
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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