Question : Directions: Which two signs should be interchanged to make the given equation correct?
4 × 7 + 36 – 12 ÷ 6 = 25
Option 1: + and –
Option 2: × and –
Option 3: ÷ and ×
Option 4: ÷ and –
Correct Answer: ÷ and –
Solution :
Given:
4 × 7 + 36 – 12 ÷ 6 = 25
Let's check the options –
First options:
+ and –
4 × 7 – 36 + 12 ÷ 6 = 25
On solving the L.H.S. of the given equation –
= 4 × 7 – 36 + 12 ÷ 6
= 4 × 7 – 36 + 2
= 28 – 36 + 2
= –6 ≠ 25
Second option:
× and –
4 – 7 + 36 × 12 ÷ 6 = 25
On solving the L.H.S. of the given equation –
= 4 – 7 + 36 × 12 ÷ 6
= 4 – 7 + 36 × 2
= 4 – 7 + 72
= 69 ≠ 25
Third option:
÷ and ×
4 ÷ 7 + 36 – 12 × 6 = 25
On solving the L.H.S. of the given equation –
= 4 ÷ 7 + 36 – 12 × 6
= 0.57 + 36 – 12 × 6
= 0.57 + 36 – 72
= –35.43 ≠ 25
Fourth option:
÷ and –
4 × 7 + 36 ÷ 12 – 6 = 25
On solving the L.H.S. of the given equation –
= 4 × 7 + 36 ÷ 12 – 6
= 4 × 7 + 3 – 6
= 28 + 3 – 6
= 25
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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