Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 5 * 23 * 24 * 4 * 10 * 111
Option 1: ÷, +, –, ×, =
Option 2: –, ×, +, ÷, =
Option 3: ×, +, ÷, –, =
Option 4: +, –, ÷, ×, =
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Correct Answer: ×, +, ÷, –, =
Solution : Given: 5 * 23 * 24 * 4 * 10 * 111
Let's check the given options – First option: ÷, +, –, ×, = ⇒ 5 ÷ 23 + 24 – 4 × 10 = 111 Solving the L.H.S. of the equation – = 5 ÷ 23 + 24 – 4 × 10 = 0.22 + 24 – 4 × 10 = 0.22 + 24 – 40 = 24.22 – 40 = –15.78 ≠ 111 Second option: –, ×, +, ÷, = ⇒ 5 – 23 × 24 + 4 ÷10 = 111 Solving the L.H.S. of the equation – = 5 – 23 × 24 + 4 ÷10 = 5 – 23 × 24 + 0.4 = 5 – 552 + 0.4 = 5.4 – 552 = –546.6 ≠ 111 Third option: ×, +, ÷, –, = ⇒ 5 × 23 + 24 ÷ 4 – 10 = 111 Solving the L.H.S. of the equation – = 5 × 23 + 24 ÷ 4 – 10 = 5 × 23 + 6 – 10 = 115 + 6 – 10 = 121 – 10 = 111 = R.H.S. Fourth option: +, –, ÷, ×, = ⇒ 5 + 23 – 24 ÷ 4 × 10 = 111 Solving the L.H.S. of the equation – = 5 + 23 – 24 ÷ 4 × 10 = 5 + 23 – 6 × 10 = 5 + 23 – 60 = 28 – 60 = –32 ≠ 111
So, only the third option satisfies the given equation. Hence, the third option is correct.
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