Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation. 32 * 42 * 7 * 7 * 17 = 202
Option 1: ×, ÷, –, +
Option 2: ×, –, +, ÷
Option 3: +, ÷, ×, –
Option 4: +, ×, ÷, –
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Correct Answer: ×, ÷, –, +
Solution : Given: 32 * 42 * 7 * 7 * 17 = 202
Let's check the given options – First option: ×, ÷, –, + ⇒ 32 × 42 ÷ 7 – 7 + 17 = 202 Solving the L.H.S. of the equation – = 32 × 42 ÷ 7 – 7 + 17 = 32 × 6 – 7 + 17 = 192 – 7 + 17 = 192 – 7 + 17 = 209 – 7 = 202 = R.H.S. Second option: ×, –, +, ÷ ⇒ 32 × 42 – 7 + 7 ÷ 17 = 202 Solving the L.H.S. of the equation – = 32 × 42 – 7 + 7 ÷ 17 = 32 × 42 – 7 + 0.41 = 1344 – 7 + 0.41 = 1344.41 – 7 = 1337.41 ≠ 202 Third option: +, ÷, ×, – ⇒ 32 + 42 ÷ 7 × 7 – 17 = 202 Solving the L.H.S. of the equation – = 32 + 42 ÷ 7 × 7 – 17 = 32 + 6 × 7 – 17 = 32 + 42 – 17 = 74 – 17 = 57 ≠ 202 Fourth option: +, ×, ÷, – ⇒ 32 + 42 × 7 ÷ 7 – 17 = 202 Solving the L.H.S. of the equation – = 32 + 42 × 7 ÷ 7 – 17 = 32 + 42 × 1 – 17 = 32 + 42 – 17 = 74 – 17 = 57 ≠ 202
So, only the first option satisfies the given equation. Hence, the first option is correct.
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