Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
11 * 7 * 345 * 5 * 31 = 115
Option 1: +, ×, ÷, −
Option 2: ×, +, ÷, −
Option 3: ÷, ×, +, −
Option 4: ÷, −, +, ×
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Correct Answer: ×, +, ÷, −
Solution :
Given:
11 * 7 * 345 * 5 * 31 = 115
Let's check the options –
First option:
+, ×, ÷, −
⇒ 11 + 7 × 345 ÷ 5 − 31 = 115
Solving the L.H.S. of the equation –
⇒ 11 + 7 × 69 − 31
⇒ 11 + 483 − 31
⇒ 463 ≠ 115
Second option:
×, +, ÷, −
⇒ 11 × 7 + 345 ÷ 5 − 31 = 115
Solving the L.H.S. of the equation –
⇒ 11 × 7 + 69 − 31
⇒ 77 + 69 − 31
⇒ 115
Third option:
÷, ×, +, −
⇒ 11 ÷ 7 × 345 + 5 − 31 = 115
Solving the L.H.S. of the equation –
⇒ 1.57 × 345 + 5 − 31
⇒ 541.65 + 5 − 31
⇒ 515.65 ≠ 115
Fourth option:
÷, −, +, ×
⇒ 11 ÷ 7 − 345 + 5 × 31 = 115
Solving the L.H.S. of the equation –
⇒ 1.57 − 345 + 5 × 31
⇒ 1.57 − 345 + 155
⇒ −188.43 ≠ 115
Here, only the second option satisfies the equation. Hence, the second option is correct.
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