Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
36 * 12 * 6 * 12 * 3 = 63
Option 1: ×, ÷, –, +
Option 2: ÷, –, +, ×
Option 3: +, +, –, ×
Option 4: +, ÷, ×, –
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Correct Answer: ×, ÷, –, +
Solution :
Given:
36 * 12 * 6 * 12 * 3 = 63
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
×, ÷, –, +
⇒ 36 × 12 ÷ 6 – 12 + 3 = 63
Solving the L.H.S. of the equation –
= 36 × 2 – 12 + 3
= 72 – 12 + 3
= 75 – 12
= 63 = R.H.S.
Second option:
÷, –, +, ×
⇒ 36 ÷ 12 – 6 + 12 × 3 = 63
Solving the L.H.S. of the equation –
= 3 – 6 + 36
= 39 – 6
= 33 ≠ 63
Third option:
+, +, –, ×
⇒ 36 + 12 + 6 – 12 × 3 = 63
Solving the L.H.S. of the equation –
= 54 – 36
= 18 ≠ 63
Fourth option:
+, ÷, ×, –
⇒ 36 + 12 ÷ 6 × 12 – 3 = 63
Solving the L.H.S. of the equation –
= 36 + 2 × 12 – 3
= 36 + 24 – 3
= 57 ≠ 63
So, only the first option satisfies the given equation. Hence, the first option is correct.
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