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 ×


Team Careers360 12th Jan, 2024
Answer (1)
Team Careers360 14th Jan, 2024

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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