Question : Directions: Which two signs should be interchanged to make the given equation correct?
44 ÷ 11 + 7 × 3 – 19 = 2
Option 1: + and ÷
Option 2: – and +
Option 3: = and ÷
Option 4: – and =
Correct Answer: – and +
Solution :
Given:
44 ÷ 11 + 7 × 3 – 19 = 2
Let's check the given options –
First option:
+ and ÷
On interchanging the mathematical signs, we get –
44 + 11 ÷ 7 × 3 – 19 = 2
L.H.S. = 44 + 11 ÷ 7 × 3 – 19
= 44 + 4.71 – 19
= 29.71 ≠ 2
Second option:
– and +
On interchanging the mathematical signs, we get –
44 ÷ 11 – 7 × 3 + 19 = 2
L.H.S. = 44 ÷ 11 – 7 × 3 + 19
= 4 – 7 × 3 + 19
= 4 – 21 + 19
= 2 = R.H.S.
Third option:
= and ÷
On interchanging the mathematical signs, we get –
44 = 11 + 7 × 3 – 19 ÷ 2
R.H.S. = 11 + 7 × 3 – 19 ÷ 2
= 11 + 7 × 3 – 9.5
= 11 + 21 – 9.5
= 44 ≠ 22.5
Fourth option:
– and =
On interchanging the mathematical signs, we get –
44 ÷ 11 + 7 × 3 = 19 – 2
L.H.S. = 44 ÷ 11 + 7 × 3
= 4 + 7 × 3
= 4 + 21 = 25
R.H.S. = 19 – 2
= 17
= 25 ≠ 17
So, only the second option satisfies the R.H.S. of the equation. Hence, the second option is correct.
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