Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 12 * 4 * 15 * 3 * 16 * 24
Option 1: +, –, ÷, ×, =
Option 2: –, +, ÷, ×, =
Option 3: ÷, –, +, ×, =
Option 4: ÷, +, ÷, +, =
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Correct Answer: ÷, +, ÷, +, =
Solution : Given: 12 * 4 * 15 * 3 * 16 * 24
Replace * with the mathematical signs and solve the equations one by one using BODMAS. Let's check the given options – First option: +, –, ÷, ×, = ⇒ 12 + 4 – 15 ÷ 3 × 16 = 24 On solving the LHS of the equation – = 12 + 4 – 5 × 16 = 12 + 4 – 80 = 16 – 80 = –64 ≠ 24 Second option: –, +, ÷, ×, = ⇒ 12 – 4 + 15 ÷ 3 × 16 = 24 On solving the LHS of the equation – = 12 – 4 + 5 × 16 = 12 – 4 + 80 = 92 – 4 = 88 ≠ 24 Third option: ÷, –, +, ×, = ⇒ 12 ÷ 4 – 15 + 3 × 16 = 24 On solving the LHS of the equation – = 3 – 15 + 3 × 16 = 3 – 15 + 48 = 51 – 15 = 36 ≠ 24 Fourth option: ÷, +, ÷, +, = ⇒ 12 ÷ 4 + 15 ÷ 3 + 16 = 24 On solving the LHS of the equation – = 3 + 5 + 16 = 24
Therefore, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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