Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
189 ÷ 2 × 30 + 18 – 5 = 159
Option 1: 189, 30 and +, ÷
Option 2: 18, 30 and ÷, −
Option 3: 2, 30 and ÷, ×
Option 4: 30, 18 and –, ×
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Correct Answer: 18, 30 and ÷, −
Solution :
Given:
189 ÷ 2 × 30 + 18 – 5 = 159
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation.
First option:
189, 30 and +, ÷
⇒ 30 + 2 × 189 ÷ 18 – 5
= 30 + 21 – 5
= 46 ≠ 159
Second option:
18, 30 and ÷, −
⇒ 189 – 2 × 18 + 30 ÷ 5
= 189 – 36 + 6
= 159
Third option:
2, 30 and ÷, ×
⇒ 189 × 30 ÷ 2 + 18 – 5
= 2835 + 18 – 5
= 2848 ≠ 159
Fourth option:
30, 18 and –, ×
⇒ 189 ÷ 2 – 18 + 30 × 5
= 94.2 – 18 + 150
= 226.5 ≠ 159
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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