Question

a question paper consists of questions each carrying of Mark 1/2,1mark and 2 marks in the ratio2:2:1. if the maximum mark in the exam is 100, then find the number of questions of each type.​

Answer 1

The number of questions carrying of  $\frac{1}{2}$ Mark, 1 mark and 2 marks ara "40, 40 and 20" respectively.

Step-by-step explanation:

Let the number of questions each carrying of  $\frac{1}{2}$ Mark,1 mark and 2 marks be 2x, 2x and x respectively.

∴ 2x + 2x + x = 100

⇒ 5x = 100

⇒ x = 20

∴  Number of questions carrying of $\frac{1}{2}$ mark

= 2 × 20 = 40,

Number of questions carrying of 1 mark

= 2 × 20 = 40 and

Number of questions each carrying of 2 marks

= 1 × 20 = 20.

Hence, the number of questions carrying of $\frac{1}{2}$ Mark,1 mark and 2 marks are 40, 40 and 20 respectively.

Answer 2

Step-by-step explanation:

Let the number of questions each carrying of  \frac{1}{2}21 Mark,1 mark and 2 marks be 2x, 2x and x respectively.

∴ 2x + 2x + x = 100

⇒ 5x = 100

⇒ x = 20

∴  Number of questions carrying of \frac{1}{2}21 mark

= 2 × 20 = 40,

Number of questions carrying of 1 mark

= 2 × 20 = 40 and

Number of questions each carrying of 2 marks

= 1 × 20 = 20.

Hence, the number of questions carrying of \frac{1}{2}21 Mark,1 mark and 2 marks are 40, 40 and 20 respectively