Question : Directions: Select the correct combination of the mathematical signs to replace star symbols (*) in the below equation and thereby balance it.
36 * 4 * 9 * 27 * 9 * 150
Option 1: +, ×, –, ÷, =
Option 2: ÷, ×, –, +, =
Option 3: ÷, ×, +, –, =
Option 4: ×, +, –, ÷, =
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Correct Answer: ×, +, –, ÷, =
Solution :
Given:
36 * 4 * 9 * 27 * 9 * 150
Let's check each option –
First Option:
+, ×, –, ÷, =
36 + 4 × 9 – 27 ÷ 9 = 150
Solving the L.H.S. of the given equation –
= 36 + 4 × 9 – 3
= 36 + 36 – 3
= 69 ≠ 150
Second Option:
÷, ×, –, +, =
36 ÷ 4 × 9 – 27 + 9 = 150
Solving the L.H.S. of the given equation –
= 9 × 9 – 27 + 9
= 81 – 27 + 9
= 63 ≠ 150
Third Option:
÷, ×, +, –, =
36 ÷ 4 × 9 + 27 – 9 = 150
Solving the L.H.S. of the given equation –
= 9 × 9 + 27 – 9
= 81 + 27 – 9
= 99 ≠ 150
Fourth Option:
×, +, –, ÷, =
36 × 4 + 9 – 27 ÷ 9 = 150
Solving the L.H.S. of the given equation –
= 36 × 4 + 9 – 3
= 144 + 9 – 3
= 150
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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