Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
11 * 3 * 11 * 2 * 9 = 10
Option 1: ×, ÷, −, +
Option 2: ÷, ×, −, +
Option 3: ÷, +, −, ×
Option 4: ×, ÷, +, −
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Correct Answer: ×, ÷, −, +
Solution :
Given:
11 * 3 * 11 * 2 * 9 = 10
Replace * with the mathematical signs and solve the equation one by one using the BODMAS rule.
Let's check the given options –
First option:
×, ÷, −, +
⇒ 11 × 3 ÷ 11 − 2 + 9 = 10
Solving the L.H.S of the equation –
= 3 − 2 + 9
= 10
L.H.S. = R.H.S.
Second option:
÷, ×, −, +
⇒ 11 ÷ 3 × 11 − 2 + 9 = 10
Solving the L.H.S of the equation –
= 40.34 − 2 + 9
= 47.34 ≠ 10
Third option:
÷, +, −, ×
⇒ 11 ÷ 3 + 11 − 2 × 9 = 10
Solving the L.H.S of the equation –
= 3.67 + 11 − 18
= −3.33 ≠ 10
Fourth option:
×, ÷, +, −
⇒ 11 × 3 ÷ 11 + 2 − 9 = 10
Solving the L.H.S of the equation –
= 11 + 2 − 9
= 4 ≠ 10
So, only the first option satisfies the given equation. Hence, the first option is correct.
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