Question : Directions: Which two signs should be interchanged to make the given equation correct?
8 ÷ 2 × 7 – 5 + 2 = 1
Option 1: × and +
Option 2: + and –
Option 3: × and –
Option 4: + and =
Correct Answer: × and +
Solution :
Given:
8 ÷ 2 × 7 – 5 + 2 = 1
Let's check the options –
First option:
× and +
Solving the L.H.S. of the equation –
8 ÷ 2 + 7 – 5 × 2
= 4 + 7 – 5 × 2
= 4 + 7 – 10
= 11 – 10
= 1 = R.H.S.
Second option:
+ and –
Solving the L.H.S. of the equation –
8 ÷ 2 × 7 + 5 – 2
= 4 × 7 + 5 – 2
= 28 + 5 – 2
= 31 ≠ 1
Third option:
× and –
Solving the L.H.S. of the equation –
8 ÷ 2 – 7 × 5 + 2
= 4 – 7 × 5 + 2
= 4 – 35 + 2
= –29 ≠ 1
Fourth option:
+ and =
8 ÷ 2 × 7 – 5 = 2 + 1
L.H.S. = 8 ÷ 2 × 7 – 5
= 4 × 7 – 5
= 28 – 5
= 23
R.H.S. = 2 + 1 = 3
23 ≠ 3
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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