Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
150 × 15 + 14 – 9 ÷ 2 = 6
Option 1: 9, 2, –, ×
Option 2: 9, 2, ÷, ×
Option 3: 150, 2, ÷, –
Option 4: 15, 9, +, ÷
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Correct Answer: 9, 2, ÷, ×
Solution :
Given:
150 × 15 + 14 – 9 ÷ 2 = 6
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation.
First option:
9, 2, –, ×
150 – 15 + 14 × 2 ÷ 9 = 6
= 150 – 15 + 3.12
= 143.12 ≠ 6
Second option:
9, 2, ÷, ×
150 ÷ 15 + 14 – 2 × 9 = 6
= 10 + 14 – 18
= 6 (L.H.S. = R.H.S.)
Third option:
150, 2, ÷, –
2 × 15 + 14 ÷ 9 – 150 = 6
= 30 + 1.56 – 150
= –118.45 ≠ 6
Fourth option:
15, 9, +, ÷
150 × 9 + 14 – 15 ÷ 2 = 6
= 1350 + 14 – 7.5
= 1356.5 ≠ 6
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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