Question : Directions: Substitute the correct mathematical symbols in place of * in the following equation. 16 * 4 * 5 * 14 * 6
Option 1: ÷, –, =, ×
Option 2: –, ×, +, =
Option 3: ÷, ×, =, +
Option 4: ÷, +, =, –
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Correct Answer: ÷, ×, =, +
Solution : Let's check the options – First option: ÷, –, =, × Equation after replacing the signs ⇒ 16 ÷ 4 – 5 = 14 × 6 ⇒ 4 – 5 = 14 × 6 = –1 ≠ 84 (L.H.S. ≠ R.H.S.) Second option: –, ×, +, = Equation after replacing the signs ⇒ 16 – 4 × 5 + 14 = 6 Solving the L.H.S. of the equation – ⇒ 16 – 4 × 5 + 14 = 16 – 20 + 14 = 30 – 20 = 10 (L.H.S. ≠ R.H.S.) Third option: ÷, ×, =, + Equation after replacing the signs ⇒ 16 ÷ 4 × 5 = 14 + 6 ⇒ 4 × 5 = 20 = 20 (L.H.S. = R.H.S.) Fourth option: ÷, +, =, – Equation after replacing the signs ⇒ 16 ÷ 4 + 5 = 14 – 6 ⇒ 16 ÷ 4 + 5 = 8 = 4 + 5 = 8 = 9 ≠ 8 (L.H.S. ≠ R.H.S.)
So, only the third option satisfies the equation. Hence, the third option is correct.
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