Question : Directions: By Interchanging the given two numbers which of the following equations will be correct? 5 and 9
Option 1: 9 – 5 × 4 + 6 ÷ 3 = 30
Option 2: 9 × 3 + 5 ÷ 1 – 6 = 20
Option 3: 7 × 9 + 5 – 8 ÷ 4 = 40
Option 4: 9 × 4 + 5 – 8 ÷ 2 = 25
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Correct Answer: 9 × 4 + 5 – 8 ÷ 2 = 25
Solution : Given: Interchange 5 and 9
Interchanging 5 and 9 in each of the given options. Let's check each option – First option: 9 – 5 × 4 + 6 ÷ 3 = 30 5 – 9 × 4 + 6 ÷ 3 = 5 – 9 × 4 + 2 = 5 – 36 + 2 = 5 – 38 = – 33 ≠ 30 Second option: 9 × 3 + 5 ÷ 1 – 6 = 20 5 × 3 + 9 ÷ 1 – 6 = 5 × 3 + 9 – 6 = 15 + 9 – 6 = 24 – 6 = 18 ≠ 20 Third option: 7 × 9 + 5 – 8 ÷ 4 = 40 7 × 5 + 9 – 8 ÷ 4 = 7 × 5 + 9 – 2 = 35 + 9 – 2 = 44 – 2 = 42 ≠ 40 Fourth option: 9 × 4 + 5 – 8 ÷ 2 = 25 5 × 4 + 9 – 8 ÷ 2 = 5 × 4 + 9 – 4 = 20 + 9 – 4 = 29 – 4 = 25 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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