Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct?
13 − 65 ÷ 45 × 21 + 2 = 82
Option 1: 65 and 13, × and +
Option 2: 45 and 13, × and +
Option 3: 45 and 21, × and +
Option 4: 45 and 13, − and +
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Correct Answer: 45 and 13, × and +
Solution :
Given:
13 − 65 ÷ 45 × 21 + 2 = 82
Replace the given numbers and symbols in the options one by one with the original numbers and symbols in the given equation.
First option:
65 and 13, × and +
= 65 − 13 ÷ 45 + 21 × 2
= 65 − 0.29 + 21 × 2
= 65 − 0.29 + 42
= 107 − 0.29
= 106.71 ≠ 82
Second option:
45 and 13, × and +
= 45 − 65 ÷ 13 + 21 × 2
= 45 − 5 + 21 × 2
= 45 − 5 + 42
= 45 + 37
= 82
Third option:
45 and 21, × and +
= 13 − 65 ÷ 21 + 45 × 2
= 13 − 3.09 + 45 × 2
= 13 − 3.09 + 90
= 99.91 ≠ 82
Fourth option:
45 and 13, − and +
= 45 + 65 ÷ 13 × 21 – 2
= 45 + 5 × 21 – 2
= 45 + 105 – 2
= 148 ≠ 82
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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