Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and to balance the given equation.
50 * 10 * 20 * 5 * 105
Option 1: ÷, ×, +, =
Option 2: ×, −, +, =
Option 3: ÷, ×, −, =
Option 4: ×, ÷, +, =
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Correct Answer: ÷, ×, +, =
Solution :
Given:
50 * 10 * 20 * 5 * 105
Replace * with the mathematical signs and solve the equations one by one using the BODMAS.
Let's check the given options –
First option:
÷, ×, +, =
⇒ 50 ÷ 10 × 20 + 5 = 105
Solving the L.H.S of the equation –
= 5 × 20 + 5
= 100 + 5
= 105 = R.H.S.
Second option:
×, −, +, =
⇒ 50 × 10 − 20 + 5 = 105
Solving the L.H.S of the equation –
= 500 − 15
= 485 ≠ 105
Third option:
÷, ×, −, =
⇒ 50 ÷ 10 × 20 − 5 = 105
Solving the L.H.S of the equation –
= 5 × 20 − 5
= 100 − 5
= 95 ≠ 105
Fourth option:
×, ÷, +, =
⇒ 50 × 10 ÷ 20 + 5 = 105
Solving the L.H.S of the equation –
= 25 + 5
= 30 ≠ 105
So, only the first option satisfies the given equation. Hence, the first option is correct.
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