Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
42 * 7 * 5 * 5 * 40 * 5
Option 1: ÷, ×, +, =, –
Option 2: ÷, ×, =, +, +
Option 3: ÷, ×, –, =, ×
Option 4: +, =, ÷, ×, +
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Correct Answer: ÷, ×, +, =, –
Solution :
Given:
42 * 7 * 5 * 5 * 40 * 5
Let's check each option –
First option:
÷, ×, +, =, –
⇒ 42 ÷ 7 × 5 + 5 = 40 – 5
Solving the L.H.S. of the equation –
⇒ 6 × 5 + 5 = 35
⇒ 30 + 5 = 35
Solving the R.H.S. of the equation –
⇒ 40 – 5
⇒ 35
⇒ 35 = 35
Second option:
÷, ×, =, +, +
⇒ 42 ÷ 7 × 5 = 5 + 40 + 5
Solving the L.H.S. of the equation –
⇒ 42 ÷ 7 × 5
⇒ 6 × 5
⇒ 30
Solving the R.H.S. of the equation –
⇒ 5 + 40 + 5
⇒ 30 ≠ 50
Third option:
÷, ×, –, =, ×
⇒ 42 ÷ 7 × 5 – 5 = 40 × 5
Solving the L.H.S. of the equation –
⇒ 42 ÷ 7 × 5 – 5
⇒ 6 × 5 – 5
⇒ 30 – 5
⇒ 25
Solving the R.H.S. of the equation –
⇒ 40 × 5
⇒ 200
⇒ 25 ≠ 200
Fourth option:
+, =, ÷, ×, +
⇒ 42 + 7 = 5 ÷ 5 × 40 + 5
Solving the L.H.S. of the equation –
⇒ 42 + 7
⇒ 49
Solving the R.H.S. of the equation –
⇒ 1 × 40 + 5
⇒ 40 + 5
⇒ 45
⇒ 49 ≠ 45
So, only the first option satisfies the given equation. Hence, the first option is correct.
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