Question

There were 101 participants in an examination.For a participant priya the number of participants who scored above her was 1.5 times the number who scored below her. Her rank is :

• A. 41
• B. 61
• C. 40
• D. 60

Answer 1

Answer:

B. 61

Let the number of participants who scored below Priya be (x).

Then the number who scored above her = (1.5x = \frac{3x}{2}).

Total participants = 101

So,

$x + \frac{3x}{2} + 1 = 101$

(adding 1 for Priya herself)

$\frac{5x}{2} + 1 = 101$

$\frac{5x}{2} = 100$

$5x = 200$

$x = 40$

Participants above her:

$1.5 \times 40 = 60$

Therefore, Priya’s rank from the top is:

$60 + 1 = 61$

So, the answer is 61st.