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Question : Directions: Which of the following interchanges in two mathematical operators will balance the equation given below?
75 ÷ 15 × 8 + 14 – 5 = 67

Option 1: ÷ and ×

Option 2: – and ÷

Option 3: – and ×

Option 4: + and –


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 27th Jan, 2024

Correct Answer: – and ×


Solution : Given:
75 ÷ 15 × 8 + 14 – 5 = 67

Replace the given symbols in the options one by one with the original symbols in the given equation.
First option: ÷ and ×
⇒ 75 × 15 ÷ 8 + 14 – 5 = 67
= 140.625 + 14 – 5
= 149.625 ≠ 67
Second option: – and ÷
⇒ 75 – 15 × 8 + 14 ÷ 5 = 67
= 75 – 120 + 2.8
= 42.2 ≠ 67
Third option: – and ×
⇒ 75 ÷ 15 – 8 + 14 × 5 = 67
= 5 – 8 + 70
= 67
Fourth option: + and –
⇒ 75 ÷ 15 × 8 – 14 + 5 = 67
= 40 – 9
= 31 ≠ 67

Here, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.

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