Question : Directions: By interchanging which two numbers (not digits) the given equation will be correct? 16 + 6 ÷ 18 – 5 × 1 = 14
Option 1: 5 and 16
Option 2: 14 and 18
Option 3: 5 and 14
Option 4: 18 and 6
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Correct Answer: 18 and 6
Solution : Given: 16 + 6 ÷ 18 – 5 × 1 = 14
Interchange the numbers in the options one by one in the given equation. First option: 5 and 16 5 + 6 ÷ 18 – 16 × 1 = 14 ⇒ 5 + 0.34 – 16 × 1 = 14 ⇒ 5 + 0.34 – 16 = 14 ⇒ 5.34 – 16 = 14 ⇒ –10.66 ≠ 14 Second option: 14 and 18 16 + 6 ÷ 14 – 5 × 1 = 18 ⇒ 16 + 0.43 – 5 × 1 = 18 ⇒ 16 + 0.43 – 5 = 18 ⇒ 16.43 – 5 = 18 ⇒ 11.43 ≠ 18 Third option: 5 and 14 16 + 6 ÷ 18 – 14 × 1 = 5 ⇒ 16 + 0.34 – 14 × 1 = 5 ⇒ 16 + 0.34 – 14 = 5 ⇒ 16.34 – 14 ⇒ 2.34 ≠ 5 Fourth option: 18 and 6 16 + 18 ÷ 6 – 5 × 1 = 14 ⇒ 16 + 3 – 5 × 1 = 14 ⇒ 16 + 3 – 5 = 14 ⇒ 19 – 5 ⇒ 14 = R.H.S
Therefore, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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