Question : Directions: Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
221 * 17 * 3 * 60 * 7 * 10
Option 1: ÷, –, +, =, ×
Option 2: +, =, ×, ÷, –
Option 3: ÷, ×, +, =, +
Option 4: +, =, ×, +, ×
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Correct Answer: ÷, –, +, =, ×
Solution :
Given:
221 * 17 * 3 * 60 * 7 * 10
Replace * with the mathematical signs and solve the equations one by one using the BODMAS.
Let's check the given options –
First option:
÷, –, +, =, ×
⇒ 221 ÷ 17 – 3 + 60 = 7 × 10
Solving the L.H.S. and R.H.S. of the equation –
⇒ 13 – 3 + 60 = 70
⇒ 70 = 70
Second option:
+, =, ×, ÷, –
⇒ 221 + 17 = 3 × 60 ÷ 7 – 10
Solving the L.H.S. and R.H.S. of the equation –
⇒ 238 = 25.71 – 10
⇒ 238 ≠ 15.71
Third option:
÷, ×, +, =, +
⇒ 221 ÷ 17 × 3 + 60 = 7 + 10
Solving the L.H.S. and R.H.S. of the equation –
⇒ 39 + 60 = 17
⇒ 99 ≠ 17
Fourth option:
+, =, ×, +, ×
⇒ 221 + 17 = 3 × 60 + 7 × 10
Solving the L.H.S. and R.H.S. of the equation –
⇒ 238 = 180 + 70
⇒ 238 ≠ 250
So, only the first option satisfies the given equation. Hence, the first option is correct.