Question : Directions: Which two numbers should be interchanged to make the given equation correct? 63 ÷ 21 – 42 + 8 × 7 = 135
Option 1: 7 and 63
Option 2: 7 and 21
Option 3: 21 and 42
Option 4: 21 and 8
Correct Answer: 7 and 21
Solution : Given: 63 ÷ 21 – 42 + 8 × 7 = 135
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 7 and 63 = 7 ÷ 21 – 42 + 8 × 63 = 0.34 – 42 + 504 = 462.34 ≠ 135 Second option: 7 and 21 = 63 ÷ 7 – 42 + 8 × 21 = 9 – 42 + 168 = 135 Third option: 21 and 42 = 63 ÷ 42 – 21 + 8 × 7 = 1.5 – 21 + 56 = 36.5 ≠ 135 Fourth option: 21 and 8 = 63 ÷ 8 – 42 + 21 × 7 = 7.88 – 42 + 147 = 112.88 ≠ 135
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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