Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the following equation.
86 * (5 * 8 * 4) * 9 * 85
Option 1: –, ×, ÷, +, =
Option 2: +, ×, ÷, –, =
Option 3: +, –, ×, ÷, =
Option 4: ÷, –, ×, +, =
Correct Answer: –, ×, ÷, +, =
Solution :
Given:
86 * (5 * 8 * 4) * 9 * 85
Let's check each option –
First Option:
–, ×, ÷, +, =
86 – (5 × 8 ÷ 4) + 9 = 85
L.H.S. = 86 – (5 × 2) + 9
= 86 – 10 + 9
= 85
Second Option:
+, ×, ÷, –, =
86 + (5 × 8 ÷ 4) – 9 = 85
L.H.S. = 86 + (5 × 2) – 9
= 86 + 10 – 9
= 87 ≠ 85
Third Option:
+, –, ×, ÷, =
86 + (5 – 8 × 4) ÷ 9 = 85
L.H.S. = 86 + (5 – 32) ÷ 9
= 86 – 27 ÷ 9
= 86 – 3
= 83 ≠ 85
Fourth Option:
÷, –, ×, +, =
86 ÷ (5 – 8 × 4) + 9 = 85
L.H.S. = 86 ÷ ( 5 – 32) + 9
= 86 ÷ (–27) + 9
= 5.815 ≠ 85
So, only the first option satisfies the equation. Hence, the first option is correct.
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