Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
355 * (12 * 3) * 289 * (186 * 6) * 71
Option 1: +, ×, =, +, ÷, +
Option 2: ÷, –, =, ÷, ×, –
Option 3: ×, +, –, =, ÷, +
Option 4: ×, –, =, +, ÷, +
Correct Answer: +, ×, =, +, ÷, +
Solution :
Given:
355 * (12 * 3) * 289 * (186 * 6) * 71
Let's check the given options –
First option:
+, ×, =, +, ÷, +
⇒ 355 + (12 × 3) = 289 + (186 ÷ 6) + 71
Solving the L.H.S. of the equation –
= 355 + 36 = 391
Solving the R.H.S. of the equation –
= 289 + 31 + 71 = 391
L.H.S. = R.H.S.
Second option:
÷, –, =, ÷, ×, –
⇒ 355 ÷ (12 – 3) = 289 ÷ (186 × 6) – 71
Solving the L.H.S. of the equation –
= 355 ÷ 9 = 39.44
Solving the R.H.S. of the equation –
= 289 ÷ 1116 – 71
= 0.259 – 71 = –70.741
L.H.S. ≠ R.H.S.
Third option:
×, +, –, =, ÷, +
⇒ 355 × (12 + 3) – 289 = (186 ÷ 6) + 71
Solving the L.H.S. of the equation –
= 355 × 15 – 289
= 5325 – 289 = 5036
Solving the R.H.S. of the equation –
= 31 + 71 = 102
L.H.S. ≠ R.H.S.
Fourth option:
×, –, =, +, ÷, +
⇒ 355 × (12 – 3) = 289 + (186 ÷ 6) + 71
Solving the L.H.S. of the equation –
= 355 × 9 = 3195
Solving the R.H.S. of the equation –
= 289 + 31 + 71 = 391
L.H.S. ≠ R.H.S.
So, only the first option satisfies the given equation. Hence, the first option is correct.
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