Question : Directions: Which two signs should be interchanged to make the given equation correct?
7 × 2 + 4 – 6 ÷ 3 = 12
Option 1: × and –
Option 2: = and ×
Option 3: – and +
Option 4: – and =
Correct Answer: – and +
Solution :
Given:
7 × 2 + 4 – 6 ÷ 3 = 12
Let's check the options –
First option:
× and –
7 – 2 + 4 × 6 ÷ 3 = 12
L.H.S. = 7 – 2 + 4 × 2
= 7 – 2 + 8
= 15 – 2
= 13 ≠ 12
Second option:
= and ×
7 = 2 + 4 – 6 ÷ 3 × 12
L.H.S. = 7
R.H.S. = 2 + 4 – 6 ÷ 3 × 12
= 2 + 4 – 2 × 12
= 2 + 4 – 24
= 6 – 24
= –18 ≠ 7
Third option:
– and +
7 × 2 – 4 + 6 ÷ 3 = 12
L.H.S. = 7 × 2 – 4 + 6 ÷ 3
= 7 × 2 – 4 + 2
= 14 – 4 + 2
= 12 = R.H.S.
Fourth option:
– and =
7 × 2 + 4 = 6 ÷ 3 – 12
L.H.S. = 7 × 2 + 4
= 14 + 4
= 18
R.H.S. = 6 ÷ 3 – 12
= 2 – 12
= –10
⇒ 18 ≠ –10
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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