Question : Directions: Which of the following interchange of signs would make the given equation correct?
42 ÷ 7 – 64 + 11 × 6 = 4
Option 1: ÷ and –
Option 2: × and +
Option 3: × and –
Option 4: + and –
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Correct Answer: + and –
Solution :
Given:
42 ÷ 7 – 64 + 11 × 6 = 4
Let's check each option –
First option:
÷ and –
42 – 7 ÷ 64 + 11 × 6 = 4
42 – 0.10 + 66
107.7
≠ 4
Second option:
x and +
42 ÷ 7 – 64 × 11 + 6 = 4
6 – 704 + 6
–692
≠ 4
Third option:
x and
–
42 ÷ 7 × 64 + 11 – 6 = 4
6 × 64 + 11 – 6
389
≠ 4
Fourth option:
+ and
–
42 ÷ 7 + 64 – 11 × 6 = 4
6 + 64 – 66 = 4
4 = 4 (L.H.S. = R.H.S.)
So, only the fourth option satisfies the R.H.S. of the equation. Hence, the fourth option is correct.
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