Question : Direction: In the following question, which of the following interchange of signs would make the given equation correct?
10 + 10 ÷ 10 – 10 × 10 = 10
Option 1: + and –
Option 2: + and ÷
Option 3: + and ×
Option 4: ÷ and ×
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Correct Answer: + and ×
Solution :
Given:
10 + 10 ÷ 10 – 10 × 10 = 10
Let's check the options –
First option:
+ and –
On replacing → 10 – 10 ÷ 10 + 10 × 10 = 10
= 10 – 10 ÷ 10 + 10 × 10
= 10 – 1 + 10 × 10
= 10 – 1 + 100
= 110 – 1
= 109 ≠ 10
Second option:
+ and ÷
On replacing → 10 ÷ 10 + 10 – 10 × 10 = 10
= 10 ÷ 10 + 10 – 10 × 10
= 1 + 10 – 10 × 10
= 1 + 10 – 100
= 11 – 100
= – 89 ≠ 10
Third option:
+ and ×
On replacing → 10 × 10 ÷ 10 – 10 + 10 = 10
= 10 × 10 ÷ 10 – 10 + 10
= 10 × 1 – 10 + 10
= 10 – 10 + 10
= 20 – 10
= 10
Fourth option:
÷ and ×
On replacing → 10 + 10 × 10 – 10 ÷ 10 = 10
= 10 + 10 × 10 – 10 ÷ 10
= 10 + 10 × 10 – 1
= 10 + 100 – 1
= 110 – 1
= 109 ≠ 10
Hence, the third option is correct.
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