Question : Directions: In the following question, you have to identify the correct response from the given premises stated according to the following signs.
If – stands for division, + stands for multiplication, ÷ stands for subtraction, and × stands for addition, which one of the following equations is correct?
Option 1: 100 + 5 – 10 × 250 ÷ 200 = 100
Option 2: 200 + 10 – 20 × 200 ÷ 100 = 150
Option 3: 50 × 5 ÷ 10 + 100 – 75 = 50
Option 4: 300 + 5 – 20 × 200 ÷ 100 = 200
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Correct Answer: 100 + 5 – 10 × 250 ÷ 200 = 100
Solution :
Given:
– stands for division, + stands for multiplication, ÷ stands for subtraction, and × stands for addition.
Replace the mathematical signs in the equations and solve the equations one by one.
Let's check the given options –
First option:
100 + 5 – 10 × 250 ÷ 200 = 100
⇒ 100 × 5 ÷ 10 + 250 – 200 = 100
Solving L.H.S. of the equation –
= 100 × 0.5 + 250 – 200
= 50 + 250 – 200
= 300 – 200
= 100 = R.H.S.
Second option:
200 + 10 – 20 × 200 ÷ 100 = 150
⇒ 200 × 10 ÷ 20 + 200 – 100 = 150
Solving L.H.S. of the equation –
= 200 × 0.5 + 200 – 100
= 100 + 200 – 100
= 300 – 100
= 200 ≠ 150
Third option:
50 × 5 ÷ 10 + 100 – 75 = 50
⇒ 50 + 5 – 10 × 100 ÷ 75 = 50
Solving L.H.S. of the equation –
= 50 + 5 – 10 × 1.33
= 50 + 5 – 13.3
= 55 – 13.3
= 41.7 ≠ 50
Fourth option:
300 + 5 – 20 × 200 ÷ 100 = 200
⇒ 300 × 5 ÷ 20 + 200 – 100 = 200
Solving L.H.S. of the equation –
= 300 × 0.25 + 200 – 100
= 75 + 200 – 100
= 275 – 100
= 175 ≠ 200
So, only the first option satisfies the given condition. Hence, the first option is correct.
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