Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
6 ÷ 48 + 12 × 9 – 7 = 35
Option 1: ÷ and +
Option 2: ÷ and ×
Option 3: × and –
Option 4: × and +
Correct Answer: ÷ and +
Solution :
Given:
6 ÷ 48 + 12 × 9 – 7 = 35
Let's check the options –
First option:
÷ and +
6 + 48 ÷ 12 × 9 – 7 = 35
L.H.S. = 6 + 48 ÷ 12 × 9 – 7
= 6 + 4 × 9 – 7
= 6 + 36 – 7
= 35 = R.H.S.
Second option:
÷ and ×
6 × 48 + 12 ÷ 9 – 7 = 35
L.H.S. = 6 × 48 + 12 ÷ 9 – 7
= 6 × 48 + 1.33 – 7
= 288 + 1.33 – 7
= 282.33 ≠ 35
Third option:
× and –
6 ÷ 48 + 12 – 9 × 7 = 35
L.H.S. = 6 ÷ 48 + 12 – 9 × 7
= 0.125 + 12 – 9 × 7
= 0.125 + 12 – 63
= – 50.875 ≠ 35
Fourth option:
× and +
6 ÷ 48 × 12 + 9 – 7 = 35
L.H.S. = 6 ÷ 48 × 12 + 9 – 7
= 0.125 × 12 + 9 – 7
= 1.5 + 9 – 7
= 3.5 ≠ 35
So, only the first option satisfies the R.H.S. of the given equation. Hence, the
first option
is correct.
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