Question : Directions: Which two numbers and two signs should be interchanged in the following equation to make it correct?
4 + 2 ÷ 7 + 8 × 9 = 25
Option 1: 4 and 9, + and ×
Option 2: 4 and 7, ÷ and ×
Option 3: 4 and 9, ÷ and ×
Option 4: 4 and 7, + and ×
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Correct Answer: 4 and 9, ÷ and ×
Solution :
Given:
4 + 2 ÷ 7 + 8 × 9 = 25
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation.
Let's check the options –
First option
: 4 and 9, + and ×
9 × 2 ÷ 7 × 8 + 4 = 25
= 9 × 2 ÷ 7 × 8 + 4
= 9 × 0.28 + 4
= 2.52 + 4
= 6.52 ≠ 25
Second option
: 4 and 7, ÷ and ×
7 + 2 × 4 + 8 ÷ 9 = 25
= 7 + 2 × 4 + 8 ÷ 9
= 7 + 8 + 0.89
= 15 + 0.89
= 15.89 ≠ 25
Third option:
4 and 9, ÷ and ×
9 + 2 × 7 + 8 ÷ 4 = 25
= 9 + 2 × 7 + 8 ÷ 4
= 9 + 14 + 2
= 25
Fourth option:
4 and 7, + and ×
7 × 2 ÷ 4 × 8 + 9 = 25
7 × 2 ÷ 4 × 8 + 9
= 7 × 0.5 × 8 + 9
= 28 + 9
= 37 ≠ 25
Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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