Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation.
31 * 2 * 60 * 30 * 15 * 49
Option 1: ×, ÷, +, –, =
Option 2: ×, –, +, ÷, =
Option 3: –, ÷, +, ×, =
Option 4: ×, +, ÷, –, =
Correct Answer: ×, +, ÷, –, =
Solution :
Given:
31 * 2 * 60 * 30 * 15 * 49
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the options –
First options:
×, ÷, +, –, =
31 × 2 ÷ 60 + 30 – 15 = 49
On solving the L.H.S. of the given equation –
= 31 × 2 ÷ 60 + 30 – 15
= 31 × 0.033 + 30 – 15
= 1.023 + 30 – 15
= 16.023 ≠ 49
Second option:
×, –, +, ÷, =
31 × 2 – 60 + 30 ÷ 15 = 49
On solving the L.H.S. of the given equation –
= 31 × 2 – 60 + 30 ÷ 15
= 31 × 2 – 60 + 2
= 62 – 60 + 2
= 4 ≠ 49
Third option:
–, ÷, +, ×, =
31 – 2 ÷ 60 + 30 × 15 = 49
On solving the L.H.S. of the given equation –
= 31 – 2 ÷ 60 + 30 × 15
= 31 – 0.033 + 30 × 15
= 31 – 0.033 + 450
= 480.967 ≠ 49
Fourth option:
×, +, ÷, –, =
31 × 2 + 60 ÷ 30 – 15 = 49
On solving the L.H.S. of the given equation –
= 31 × 2 + 60 ÷ 30 – 15
= 31 × 2 + 2 – 15
= 62 + 2 – 15
= 49
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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