Question : Directions: Which two signs should be interchanged, to make the given equation correct?
8 + 9 ÷ 5 × 4 – 2 = 7
Option 1: = and +
Option 2: – and =
Option 3: ÷ and –
Option 4: + and –
Correct Answer: ÷ and –
Solution :
Given:
8 + 9 ÷ 5 × 4 – 2 = 7
Replace the given symbols in the options one by one with the original symbols in the given equation.
Let's check the given options –
First Option:
= and +
8 + 9 ÷ 5 × 4 – 2 = 7
⇒ 8 = 9 ÷ 5 × 4 – 2 + 7
Solving the R.H.S. of the equation –
= 1.8 × 4 – 2 + 7
= 7.2 – 2 + 7
= 12.2 ≠ 8
Second option:
– and =
8 + 9 ÷ 5 × 4 – 2 = 7
⇒ 8 + 9 ÷ 5 × 4 = 2 – 7
Solving the L.H.S. of the equation –
= 8 + 1.8 × 4
= 8 + 7.2
= 15.2
Solving the R.H.S. of the equation –
= 2 – 7
= –5
L.H.S ≠ R.H.S
Third option:
÷ and –
8 + 9 ÷ 5 × 4 – 2 = 7
⇒ 8 + 9 – 5 × 4 ÷ 2 = 7
Solving the L.H.S. of the equation –
= 8 + 9 – 5 × 2
= 8 + 9 – 10
= 7
Fourth option:
+ and –
8 + 9 ÷ 5 × 4 – 2 = 7
⇒ 8 – 9 ÷ 5 × 4 + 2 = 7
Solving the L.H.S. of the equation –
= 8 – 1.8 × 4 + 2
= 8 – 7.2 + 2
= 2.8 ≠ 7
So, only the third option satisfies the given equation. Hence, the third option is correct.
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