Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 62 * 11 * 42 * 6 * 18 * 21 * 7
Option 1: +, –, =, ×, –, ÷
Option 2: =, ×, ÷, –, +, ÷
Option 3: –, +, =, ×, –, +
Option 4: +, –, ÷, =, ×, +
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Correct Answer: =, ×, ÷, –, +, ÷
Solution : Given: 62 * 11 * 42 * 6 * 18 * 21 * 7
Replace * with the mathematical signs and solve the equations one by one using BODMAS. Let's check the given options – First option: +, –, =, ×, –, ÷ ⇒62 + 11 – 42 = 6 × 18 – 21 ÷ 7 ⇒73 – 42 = 6 × 18 – 3 ⇒31 = 108 – 3 ⇒31 ≠ 105 Second option: =, ×, ÷, –, +, ÷ ⇒62 = 11 × 42 ÷ 6 – 18 + 21 ÷ 7 ⇒62 = 11 × 7 – 18 + 3 ⇒62 = 77 – 18 + 3 ⇒62 = 80 – 18 ⇒62 = 62 Third option: –, +, =, ×, –, + ⇒62 – 11 + 42 = 6 × 18 – 21 + 7 ⇒104 – 11 = 108 – 21 + 7 ⇒93 = 115 – 21 ⇒93 ≠ 94 Fourth option: +, –, ÷, =, ×, + ⇒62 + 11 – 42 ÷ 6 = 18 × 21 + 7 ⇒62 + 11 – 7 = 378 + 7 ⇒73 – 7 = 385 ⇒66 ≠ 385
Therefore, only the second option satisfies the equation. Hence, the second option is correct.
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