Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the given equation.
5 * 5 * 5 * 3 * 10
Option 1: ×, +, =, ×
Option 2: +, –, ×, =
Option 3: +, ÷, =, ×
Option 4: +, ÷, ×, =
Correct Answer: ×, +, =, ×
Solution :
Given:
5 * 5 * 5 * 3 * 10
Let's check the options –
First option:
×, +, =, ×
5 × 5 + 5 = 3 × 10
Solving L.H.S. of the equation,
⇒ 5 × 5 + 5
⇒ 25 + 5
⇒ 30
Solving R.H.S. of the equation,
⇒ 3 × 10
⇒ 30 = 30
Second option:
+, –, ×, =
5 + 5 – 5 × 3 = 10
Solving L.H.S. of the equation,
⇒ 5 + 5 – 5 × 3 = 10
⇒ 5 + 5 – 15 = 10
⇒ 10 – 15 = 10
⇒ –5 ≠ 10
Third option:
+, ÷, =, ×
5 + 5 ÷ 5 = 3 × 10
Solving L.H.S. of the equation,
⇒ 5 + 5 ÷ 5
⇒ 5 + 1
Solving R.H.S. of the equation,
⇒ 3 × 10
⇒ 30
⇒ 6 ≠ 30
Fourth option:
+, ÷, ×, =
5 + 5 ÷ 5 × 3 = 10
Solving L.H.S. of the equation,
⇒ 5 + 5 ÷ 5 × 3
⇒ 5 + 1 × 3
⇒ 5 + 3
⇒ 8 ≠ 10
So, only the first option satisfies the given equation. Hence, the first option is correct.
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