Question : Directions: Which two numbers should be interchanged to make the given equation correct? 11 × 2 + 15 ÷ 13 – 3 = 14
Option 1: 14 and 15
Option 2: 3 and 2
Option 3: 13 and 3
Option 4: 11 and 15
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Correct Answer: 13 and 3
Solution : Given: 11 × 2 + 15 ÷ 13 – 3 = 14
Let's check the given options – First Option: 14 and 15 ⇒ 11 × 2 + 14 ÷ 13 – 3 = 15 Solving the L.H.S. of the equation – = 11 × 2 + 1.07 – 3 = 22 + 1.07 – 3 = 20.07 ≠ 15 Second option: 3 and 2 ⇒ 11 × 3 + 15 ÷ 13 – 2 = 14 Solving the L.H.S. of the equation – = 11 × 3 + 1.15 – 2 = 33 + 1.15 – 2 = 32.15 ≠ 14 Third option: 13 and 3 ⇒ 11 × 2 + 15 ÷ 3 – 13 = 14 Solving the L.H.S. of the equation – = 11 × 2 + 5 – 13 = 22 + 5 – 13 = 14 = R.H.S. Fourth option: 11 and 15 ⇒ 15 × 2 + 11 ÷ 13 – 3 = 14 Solving the L.H.S. of the equation – = 15 × 2 + 0.84 – 3 = 30 + 0.84 – 3 = 27.84 ≠ 14
So, only the third option satisfies the given equation. Hence, the third option is correct.
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