Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
213 * 67 * 119 * (248 * 31) * 169
Option 1: –, ÷, =, –, ×
Option 2: +, –, +, ÷, =
Option 3: ×, –, =, +, ÷
Option 4: +, −, =, –, ×
Correct Answer: +, –, +, ÷, =
Solution :
Given:
213 * 67 * 119 * (248 * 31) * 169
Replace * with the mathematical signs and solve the equations one by one.
Let's check the given options –
First option:
−, ÷, =, −, ×
⇒ 213 – 67 ÷ 119 = (248 – 31) × 169
Solving the L.H.S. of the equation –
= 213 – 0.56 = 212.44
Solving the R.H.S. of the equation –
= (248 – 31) × 169
= 217 × 169 = 36673
L.H.S. ≠ R.H.S.
Second option:
+, −, +, ÷, =
⇒ 213 + 67 – 119 + (248 ÷ 31) = 169
Solving the L.H.S. of the equation –
= 213 + 67 – 119 + 8
= 288 – 119
= 169 = R.H.S.
Third option:
×, −, =, +, ÷
⇒ 213 × 67 – 119 = (248 + 31) ÷ 169
Solving the L.H.S. of the equation –
= 14271 – 119
= 14152
Solving the R.H.S. of the equation –
= 279 ÷ 169 = 1.65
L.H.S. ≠ R.H.S.
Fourth option:
+, −, =, −, ×
⇒ 213 + 67 – 119 = (248 – 31) × 169
Solving the L.H.S. of the equation –
= 280 – 119 = 161
Solving the R.H.S. of the equation –
= 217 × 169 = 36673
L.H.S. ≠ R.H.S.
So, only the second option satisfies the given equation. Hence, the second option is correct.
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