Question : Directions: Which two numbers should be interchanged to make the given equation correct? 4 + 40 × 5 – 16 ÷ 8 = 79
Option 1: 16 and 4
Option 2: 4 and 40
Option 3: 5 and 16
Option 4: 40 and 16
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Correct Answer: 40 and 16
Solution : Given: 4 + 40 × 5 – 16 ÷ 8 = 79
Let's check the options – First option: 16 and 4 On interchanging the numbers, we get – 16 + 40 × 5 – 4 ÷ 8 = 79 Solving the L.H.S. of the given equation – = 16 + 40 × 5 – 4 ÷ 8 = 16 + 40 × 5 – 0.5 = 16 + 200 – 0.5 = 215.5 ≠ 79 Second option: 4 and 40 On interchanging the numbers, we get – 40 + 4 × 5 – 16 ÷ 8 = 79 Solving the L.H.S. of the given equation – = 40 + 4 × 5 – 16 ÷ 8 = 40 + 4 × 5 – 2 = 40 + 20 – 2 = 58 ≠ 79 Third option: 5 and 16 On interchanging the numbers, we get – 4 + 40 × 16 – 5 ÷ 8 = 79 Solving the L.H.S. of the given equation – = 4 + 40 × 16 – 5 ÷ 8 = 4 + 40 × 16 – 0.625 = 4 + 640 – 0.625 = 643.375 ≠ 79 Fourth option: 40 and 16 On interchanging the numbers, we get – 4 + 16 × 5 – 40 ÷ 8 = 79 Solving the L.H.S. of the given equation – = 4 + 16 × 5 – 40 ÷ 8 = 4 + 16 × 5 – 5 = 4 + 80 – 5 = 79 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the equation. Hence, the fourth option is correct.
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