Question : Directions: Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
52 * 4 * 38 * 5 * 5 * 0
Option 1: ×, ×, +, =, ×
Option 2: ÷, =, –, ×, +
Option 3: ×, +, ÷, =, –
Option 4: ÷, =, –, ÷, ×
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Correct Answer: ÷, =, –, ×, +
Solution :
Given:
52 * 4 * 38 * 5 * 5 * 0
Replace * with the mathematical signs and solve the equations one by one using the BODMAS.
Let's check the given options –
First option:
×, ×, +, =, ×
⇒ 52 × 4 × 38 + 5 = 5 × 0
Solving the L.H.S. and R.H.S. of the equation –
⇒ 7904 + 5 = 0
⇒ 7909 ≠ 0
Second option:
÷, =, –, ×, +
⇒ 52 ÷ 4 = 38 – 5 × 5 + 0
Solving the L.H.S. and R.H.S. of the equation –
⇒ 13 = 38 – 25
⇒ 13 = 13
Third option:
×, +, ÷, =, –
⇒ 52 × 4 + 38 ÷ 5 = 5 – 0
Solving the L.H.S. and R.H.S. of the equation –
⇒ 52 × 4 + 7.6 = 5 – 0
⇒ 208 + 7.6 = 5
⇒ 215.6 ≠ 5
Fourth option:
÷, =, –, ÷, ×
⇒ 52 ÷ 4 = 38 – 5 ÷ 5 × 0
Solving the L.H.S. and R.H.S. of the equation –
⇒ 13 = 38 – 1
⇒ 13 ≠ 37
So, only the second option satisfies the given equation. Hence, the second option is correct.
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