Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 32 * 14 * 18 * 9 * 12 * 22
Option 1: –, +, ÷, ×, =
Option 2: +, –, ÷, ×, =
Option 3: ×, +, ÷, –, =
Option 4: ÷, –, +, ×, =
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Correct Answer: +, –, ÷, ×, =
Solution : Given: 32 * 14 * 18 * 9 * 12 * 22
Let's check the given options – First option: –, +, ÷, ×, = ⇒ 32 – 14 + 18 ÷ 9 × 12 = 22 Solving the L.H.S. of the equation – = 32 – 14 + 2 × 12 = 32 – 14 + 24 = 56 – 14 = 42 ≠ 22 Second option: +, –, ÷, ×, = ⇒ 32 + 14 – 18 ÷ 9 × 12 = 22 Solving the L.H.S. of the equation – = 32 + 14 – 2 × 12 = 32 + 14 – 24 = 46 – 24 = 22 = R.H.S. Third option: ×, +, ÷, –, = ⇒ 32 × 14 + 18 ÷ 9 – 12 = 22 Solving the L.H.S. of the equation – = 32 × 14 + 2 – 12 = 178 + 2 – 12 = 180 – 12 = 168 ≠ 22 Fourth option: ÷, –, +, ×, = ⇒ 32 ÷ 14 – 18 + 9 × 12 = 22 Solving the L.H.S. of the equation – = 2.28 – 18 + 9 × 12 = 2.28 – 18 + 108 = 110.28 – 18 = 92.28 ≠ 22
So, only the second option satisfies the given equation. Hence, the second option is correct.
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