Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
99 * 33 * 66 * 22 * 44 * 50
Option 1: ÷, +, ×, +, =
Option 2: +, −, ÷, −, =
Option 3: ÷, +, ÷, +, =
Option 4: ÷, −, +, ×, =
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Correct Answer: ÷, +, ÷, +, =
Solution :
Given:
99 * 33 * 66 * 22 * 44 * 50
Let's check the given options –
First Option:
÷, +, ×, +, =
⇒ 99 ÷ 33 + 66 × 22 + 44 = 50
Solving the L.H.S. of the equation –
= 3 + 66 × 22 + 44
= 3 + 1452 + 44
= 1499 ≠ 50
Second Option:
+, −, ÷, −, =
⇒ 99 + 33 − 66 ÷ 22 − 44 = 50
Solving the L.H.S. of the equation –
= 99 + 33 − 3 − 44
= 132 − 3 − 44
= 85 ≠ 50
Third Option:
÷, +, ÷, +, =
⇒ 99 ÷ 33 + 66 ÷ 22 + 44 = 50
Solving the L.H.S. of the equation –
= 3 + 3 + 44
= 50
Fourth Option:
÷, −, +, ×, =
⇒
99 ÷ 33 − 66 + 22 × 44 = 50
Solving the L.H.S. of the equation –
= 3 − 66 + 22 × 44
= 3 − 66 + 968
= 905 ≠ 50
So, only the third option satisfies the given equation. Hence, the third option is correct.
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