Question : Directions: Which two signs should be interchanged to make the given equation correct?
5 ÷ 4 × 8 = 7 – 3
Option 1: ÷ and –
Option 2: = and –
Option 3: × and –
Option 4: ÷ and =
Correct Answer: = and –
Solution :
Given:
5 ÷ 4 × 8 = 7 – 3
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and –
5 ÷ 4 × 8 = 7 – 3
⇒ 5 – 4 × 8 = 7 ÷ 3
⇒ 5 – 32 = 2.33
⇒ –27 ≠ 2.33
Second option:
= and –
5 ÷ 4 × 8 = 7 – 3
⇒ 5 ÷ 4 × 8 – 7
⇒ 1.25 × 8 – 7
⇒ 10 – 7
⇒ 3
Third option:
× and –
5 ÷ 4 × 8 = 7 – 3
⇒ 5 ÷ 4 – 8 = 7 × 3
⇒ 1.25 – 8 = 21
⇒ –6.75 ≠ 21
Fourth option:
÷ and =
5 ÷ 4 × 8 = 7 – 3
⇒ 5 = 4 × 8 ÷ 7 – 3
⇒ 5 = 4 × 1.14 – 3
⇒ 5 ≠ 1.56
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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