Question : Directions: Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
831 * 3 * 13 * 45 * 245 * 1
Option 1: ÷, +, –, =, ×
Option 2: =, ×, ÷, +, –
Option 3: =, –, ÷, +, –
Option 4: =, ÷, +, –, ×
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Correct Answer: ÷, +, –, =, ×
Solution :
Given:
831 * 3 * 13 * 45 * 245 * 1
Replace * with the mathematical signs and solve the equations one by one using the BODMAS.
Let's check the given options –
First option:
÷, +, –, =, ×
⇒ 831 ÷ 3 + 13 – 45 = 245 × 1
Solving the L.H.S. of the equation –
= 277 + 13 – 45
= 245 = R.H.S.
Second option:
=, ×, ÷, +, –
⇒ 831 = 3 × 13 ÷ 45 + 245 – 1
Solving the R.H.S of the equation –
= 3 × 13 ÷ 45 + 245 – 1
= 0.86 + 245 – 1
= 831 ≠ 244.86
Third option:
=, –, ÷, +, –
⇒ 831 = 3 – 13 ÷ 45 + 245 – 1
Solving the R.H.S. of the equation –
= 3 – 0.289 + 244
= 831 ≠ 246.71
Fourth option:
=, ÷, +, –, ×
⇒ 831 = 3 ÷ 13 + 45 – 245 × 1
Solving the L.H.S. of the equation –
= 0.23 + 45 – 245
= 188 ≠ –199.77
So, only the first option satisfies the given equation. Hence, the first option is correct.
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