Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation. 50 * 25 * 10 * 2 * 175
Option 1: +, ÷, ×, =
Option 2: −, ×, ÷, =
Option 3: −, ×, +, =
Option 4: +, ×, ÷, =
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Correct Answer: +, ×, ÷, =
Solution : Given: 50 * 25 * 10 * 2 * 175
Replacing the given symbols in the equations – First option: +, ÷, x, = ⇒ 50 + 25 ÷ 10 x 2 = 175 ⇒50 + 2.5 x 2 = 175 ⇒50 + 5 = 175 ⇒55 = 175 ⇒ L.H.S ≠ R.H.S Second option: –, x, ÷, = ⇒ 50 – 25 x 10 ÷ 2 = 175 ⇒ 50 – 25 x 5 = 175 ⇒ 50 – 125 = 175 ⇒ – 75 = 175 ⇒ L.H.S ≠ R.H.S Third option: –, x, +, = ⇒ 50 – 25 x 10 + 2 = 175 ⇒ 50 – 250 + 2 = 175 ⇒ 50 – 248 = 175 ⇒ – 198 = 175 ⇒ L.H.S ≠ R.H.S Fourth option: +, x, ÷, = ⇒ 50 + 25 x 10 ÷ 2 = 175 ⇒ 50 + 25 x 5 = 175 ⇒ 50 + 125 = 175 ⇒ 175 = 175 ⇒ L.H.S = R.H.S
So, only the fourth option satisfies the given equation. Hence, the fourth option is correct.
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