Question : Directions: Which two signs should be interchanged to make the given equation correct?
68 ÷ 2 – 42 + 108 × 12 = 103
Option 1: = and –
Option 2: + and –
Option 3: ÷ and ×
Option 4: ÷ and +
Correct Answer: ÷ and ×
Solution :
Given:
68 ÷ 2 – 42 + 108 × 12 = 103
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
= and –
68 ÷ 2 = 42 + 108 × 12 – 103
L.H.S.→68 ÷ 2 = 34
R.H.S.→42 + 108 × 12 – 103
= 42 + 1296 – 103
= 1235 ≠ 34
L.H.S. ≠ R.H.S.
Second option:
+ and –
L.H.S.→68 ÷ 2 + 42 – 108 × 12
= 34 + 42 – 108 × 12
= 34 + 42 – 1296
= –1220 ≠ 103
Third option:
÷ and ×
L.H.S.→68 × 2 – 42 + 108 ÷ 12
= 68 × 2 – 42 + 9
= 136 – 42 + 9
= 103 = R.H.S.
Fourth option:
÷ and +
L.H.S.→
68 + 2 – 42 ÷ 108 × 12
= 68 + 2 – 0.38 × 12
= 68 + 2 – 4.66
= 65.34 ≠ 103
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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