Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 45 * 86 * 23 * 36 * 18 * 2021
Option 1: ×, +, –, ÷, =
Option 2: +, –, ×, ÷, =
Option 3: –, ×, +, ÷, =
Option 4: +, ×, –, ÷, =
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Correct Answer: +, ×, –, ÷, =
Solution : Given: 45 * 86 * 23 * 36 * 18 * 2021
Replace the * sign given in the equation with the assigned signs in the options. Let's check the options – First option: ×, +, –, ÷, = ⇒ 45 × 86 + 23 – 36 ÷ 18 = 2021 = 45 × 86 + 23 – 2 = 3870 + 23 – 2 = 3893 – 2 = 3891 ≠ 2021 Second option: +, –, ×, ÷, = ⇒ 45 + 86 – 23 × 36 ÷ 18 = 2021 = 45 + 86 – 23 × 2 = 45 + 86 – 46 = 131 – 46 = 85 ≠ 2021 Third option: –, ×, +, ÷, = ⇒ 45 – 86 × 23 + 36 ÷ 18 = 2021 = 45 – 86 × 23 + 2 = 45 – 1978 + 2 = 47 – 1978 = –1931 ≠ 2021 Fourth option: +, ×, –, ÷, = ⇒ 45 + 86 × 23 – 36 ÷ 18 = 2021 = 45 + 86 × 23 – 2 = 45 + 1978 – 2 = 2023 – 2 = 2021 = R.H.S.
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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