Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation.
66 * 6 * 12 * 3 * 15 = 12
Option 1: ÷, −, ×, +
Option 2: +, −, ÷, ×
Option 3: ÷, ×, +, −
Option 4: ×, −, ÷, +
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Correct Answer: +, −, ÷, ×
Solution :
Given:
66 * 6 * 12 * 3 * 15 = 12
Let's check the options –
First option:
÷, −, ×, +
⇒ 66 ÷ 6 – 12 × 3 + 15 = 12
Solving the L.H.S. of the equation –
= 66 ÷ 6 – 12 × 3 + 15
= 11 – 12 × 3 + 15
= 11 – 36 + 15
= 26 – 36
= –10 ≠ 12
Second option:
+, −, ÷, ×
⇒ 66 + 6 – 12 ÷ 3 × 15 = 12
Solving the L.H.S. of the equation –
= 66 + 6 – 12 ÷ 3 × 15
= 66 + 6 – 4 × 15
= 66 + 6 – 60
= 72 – 60
= 12
Third option:
÷, ×, +, −
⇒ 66 ÷ 6 × 12 + 3 – 15 = 12
Solving the L.H.S. of the equation –
= 66 ÷ 6 × 12 + 3 – 15
= 11 × 12 + 3 – 15
= 132 + 3 – 15
= 135 – 15
= 120 ≠ 12
Fourth option:
×, −, ÷, +
⇒ 66 × 6 – 12 ÷ 3 + 15 = 12
Solving the L.H.S. of the equation –
= 66 × 6 – 12 ÷ 3 + 15
= 66 × 6 – 4 + 15
= 396 – 4 + 15
= 411 – 4
= 407 ≠ 12
So, only the second option satisfies the given equation. Hence, the second option is correct.
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