Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 42 * 7 * 5 * 5 * 40 * 5
Option 1: ÷, ×, +, =, –
Option 2: ÷, ×, =, +, +
Option 3: ÷, ×, –, =, ×
Option 4: +, =, ÷, ×, +
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Correct Answer: ÷, ×, +, =, –
Solution : Given: 42 * 7 * 5 * 5 * 40 * 5
Let's check each option – First option: ÷, ×, +, =, – ⇒ 42 ÷ 7 × 5 + 5 = 40 – 5 Solving the L.H.S. of the equation – ⇒ 6 × 5 + 5 = 35 ⇒ 30 + 5 = 35 Solving the R.H.S. of the equation – ⇒ 40 – 5 ⇒ 35 ⇒ 35 = 35 Second option: ÷, ×, =, +, + ⇒ 42 ÷ 7 × 5 = 5 + 40 + 5 Solving the L.H.S. of the equation – ⇒ 42 ÷ 7 × 5 ⇒ 6 × 5 ⇒ 30 Solving the R.H.S. of the equation – ⇒ 5 + 40 + 5 ⇒ 30 ≠ 50 Third option: ÷, ×, –, =, × ⇒ 42 ÷ 7 × 5 – 5 = 40 × 5 Solving the L.H.S. of the equation – ⇒ 42 ÷ 7 × 5 – 5 ⇒ 6 × 5 – 5 ⇒ 30 – 5 ⇒ 25 Solving the R.H.S. of the equation – ⇒ 40 × 5 ⇒ 200 ⇒ 25 ≠ 200 Fourth option: +, =, ÷, ×, + ⇒ 42 + 7 = 5 ÷ 5 × 40 + 5 Solving the L.H.S. of the equation – ⇒ 42 + 7 ⇒ 49 Solving the R.H.S. of the equation – ⇒ 1 × 40 + 5 ⇒ 40 + 5 ⇒ 45 ⇒ 49 ≠ 45
So, only the first option satisfies the given equation. Hence, the first option is correct.
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