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Question : Directions: Which of the following interchanges of signs would make the given equation correct?
5 – 4 ÷ 2 + 7 × 3 = 14

Option 1: ÷ and +

Option 2: × and −

Option 3: − and ÷

Option 4: + and ×


Team Careers360 6th Jan, 2024
Answer (1)
Team Careers360 13th Jan, 2024

Correct Answer: × and −


Solution : Given:
5 – 4 ÷ 2 + 7 × 3 = 14

Replace the given symbols in the options one by one with the original symbols in the given equation.
Let's check the options
First option: ÷ and +
5 – 4 ÷ 2 + 7 × 3 = 14
⇒ 5 – 4 + 2 ÷ 7 × 3
⇒ 5 – 4 + 0.28 × 3
⇒ 5 – 4 + 0.84
⇒ 1.84 ≠ 14
Second option: × and −
5 – 4 ÷ 2 + 7 × 3 = 14
⇒ 5 × 4 ÷ 2 + 7 – 3
⇒ 5 × 2 + 7 – 3
⇒ 10 + 7 – 3
⇒ 14
Third option: − and ÷
5 – 4 ÷ 2 + 7 × 3 = 14
⇒ 5 ÷ 4 – 2 + 7 × 3
⇒ 1.25 – 2 + 7 × 3
⇒ 1.25 – 2 + 21
⇒ 20.25 ≠ 14
Fourth option: + and ×
5 – 4 ÷ 2 + 7 × 3 = 14
⇒ 5 – 4 ÷ 2 × 7 + 3
⇒ 5 – 2 × 7 + 3
⇒ 5 – 14 + 3
⇒ –6 ≠ 14

Here, only the second option satisfies the equation. Hence, the second option is correct.

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