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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: ×, +, ÷, –, =


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 27th Jan, 2024

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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