Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 18 * 3 * 12 * 9 * 3 * 111
Option 1: ÷, +, ×, –, =
Option 2: ×, +, ÷, –, =
Option 3: ×, –, ×, +, =
Option 4: ×, +, ×, –, =
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Correct Answer: ÷, +, ×, –, =
Solution : Given: 18 * 3 * 12 * 9 * 3 *111
Replace the * sign given in the equation with the assigned signs in the options one by one – First option: ÷, +, ×, –, = 18 ÷ 3 + 12 × 9 – 3 = 111 Solving the L.H.S. of the equation – = 6 + 12 × 9 – 3 = 6 + 108 – 3 = 111 Second option: ×, +, ÷, –, = 18 × 3 + 12 ÷ 9 – 3 = 111 Solving the L.H.S. of the equation – = 18 × 3 + 1.33 – 3 = 54 + 1.33 – 3 = 52.33 ≠ 111 Third option: ×, –, ×, +, = 18 × 3 – 12 × 9 + 3 = 111 Solving the L.H.S. of the equation – = 54 – 108 + 3 = –51 ≠ 111 Fourth option: ×, +, ×, –, = 18 × 3 + 12 × 9 – 3 = 111 Solving the L.H.S. of the equation – = 54 + 108 – 3 = 159 ≠ 111
So, only the first option satisfies the given equation. Hence, the first option is correct.
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