Question : Directions: Which two signs should be interchanged to make the given equation correct?
13 – 25 = 5 + 4 ÷ 12
Option 1: + and =
Option 2: – and =
Option 3: + and –
Option 4: ÷ and =
Correct Answer: ÷ and =
Solution :
Given:
13 – 25 = 5 + 4 ÷ 12
On interchanging the symbols as given in the options, we get –
First option:
+ and =
13 – 25 + 5 = 4 ÷ 12
L.H.S. = 13 – 25 + 5 = – 7
R.H.S. = 4 ÷ 12 = 0.33
L.H.S. ≠ R.H.S.
Second option:
– and =
13 = 25 – 5 + 4 ÷ 12
L.H.S. = 13
R.H.S. = 25 – 5 + 4 ÷ 12
= 25 – 5 + 0.33 = 20.33
L.H.S. ≠ R.H.S.
Third option:
+ and –
13 + 25 = 5 – 4 ÷ 12
L.H.S. = 13 + 25 = 38
R.H.S. = 5 – 4 ÷ 12
= 5 – 0.33 = 4.67
L.H.S. ≠ R.H.S.
Fourth option:
÷ and =
13 – 25 ÷ 5 + 4 = 12
L.H.S. = 13 – 25 ÷ 5 + 4
= 13 – 5 + 4 = 12
R.H.S. = 12
L.H.S. = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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