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Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
45 – 6 + 108 ÷ 12 × 14 = 5

Option 1: ÷ and –

Option 2: × and –

Option 3: + and ×

Option 4: + and –


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: + and ×


Solution : Given:
45 – 6 + 108 ÷ 12 × 14 = 5

On interchanging the symbols, we get –
First option: ÷ and –
45 ÷ 6 + 108 – 12 × 14 = 5
Solving the L.H.S. of the equation –
= 7.5 + 108 – 12 × 14
= 7.5 + 108 – 168
= –52.5 ≠ 5
Second option: × and –
45 × 6 + 108 ÷ 12 – 14 = 5
Solving the L.H.S. of the equation –
= 45 × 6 + 9 – 14
= 270 + 9 – 14
= 265 ≠ 5
Third option: + and ×
45 – 6 × 108 ÷ 12 + 14 = 5
Solving the L.H.S. of the equation –
= 45 – 6 × 9 + 14
= 45 – 54 + 14
= 59 – 54
= 5 = R.H.S.
Fourth option: + and –
45 + 6 – 108 ÷ 12 × 14 = 5
Solving the L.H.S. of the equation –
= 45 + 6 – 9 × 14
= 45 + 6 – 126
= –75 ≠ 5

So, only the third option satisfies the equation. Hence, the third option is correct.

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