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Question : Directions: Which of the mathematical signs should be interchanged in the below equation to make it mathematically correct?
6 ÷ 48 + 12 × 9
7 = 35

Option 1: ÷ and +

Option 2: ÷ and ×

Option 3: × and –

Option 4: × and +


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 12th Jan, 2024

Correct Answer: ÷ and +


Solution : Given:
6 ÷ 48 + 12 × 9 – 7 = 35

Let's check the options –
First option: ÷ and +
6 + 48 ÷ 12 × 9 – 7 = 35
L.H.S. = 6 + 48 ÷ 12 × 9 – 7
= 6 + 4 × 9 – 7
= 6 + 36 – 7
= 35 = R.H.S.
Second option: ÷ and ×
6 × 48 + 12 ÷ 9 – 7 = 35
L.H.S. = 6 × 48 + 12 ÷ 9 – 7
= 6 × 48 + 1.33 – 7
= 288 + 1.33 – 7
= 282.33 ≠ 35
Third option: × and –
6 ÷ 48 + 12 – 9 × 7 = 35
L.H.S. = 6 ÷ 48 + 12 – 9 × 7
= 0.125 + 12 – 9 × 7
= 0.125 + 12 – 63
= – 50.875 ≠ 35
Fourth option: × and +
6 ÷ 48 × 12 + 9 – 7 = 35
L.H.S. = 6 ÷ 48 × 12 + 9 – 7
= 0.125 × 12 + 9 – 7
= 1.5 + 9 – 7
= 3.5 ≠ 35

So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.

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