Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
18 * 3 * 12 * 9 * 3 * 111
Option 1: ÷, +, ×, –, =
Option 2: ×, +, ÷, –, =
Option 3: ×, –, ×, +, =
Option 4: ×, +, ×, –, =
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Correct Answer: ÷, +, ×, –, =
Solution :
Given:
18 * 3 * 12 * 9 * 3 *111
Replace the * sign given in the equation with the assigned signs in the options one by one –
First option:
÷, +, ×, –, =
18 ÷ 3 + 12 × 9 – 3 = 111
Solving the L.H.S. of the equation –
= 6 + 12 × 9 – 3
= 6 + 108 – 3
= 111
Second option:
×, +, ÷, –, =
18 × 3 + 12 ÷ 9 – 3 = 111
Solving the L.H.S. of the equation –
= 18 × 3 + 1.33 – 3
= 54 + 1.33 – 3
= 52.33 ≠ 111
Third option:
×, –, ×, +, =
18 × 3 – 12 × 9 + 3 = 111
Solving the L.H.S. of the equation –
= 54 – 108 + 3
= –51 ≠ 111
Fourth option:
×, +, ×, –, =
18 × 3 + 12 × 9 – 3 = 111
Solving the L.H.S. of the equation –
= 54 + 108 – 3
= 159 ≠ 111
So, only the first option satisfies the given equation. Hence, the first option is correct.
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