What is the total number of boys studying Statistics and Physics?

Directions: In a University, there are 1200 students studying four different subjects, Mathematics, Statistics, Physics and Chemistry. 20% of the total number of students are studying Mathematics, one-fourth of the total number of students are studying Physics, 320 students are studying Statistics. Three-fifth of the total number of students studying Chemistry are girls. 150 boys are studying Mathematics. 60% of the students studying Physics are boys. 250 girls are studying Statistics.

Question 1: What is the total number of boys studying Statistics and Physics?

A. 180

B. 240

C. 250

D. 310

Right Answer is: C

SOLUTION

Number of students studying Physics = ¼ × Total number of students

⇒ ¼ × 1200 = 300 students

Number of boys studying in physics = 60% of number of students studying Physics

⇒ 60/100 × 300 = 180 boys

Number of boys studying Statistics = Total number of students studying Statistics – Number of girls studying Statistics

⇒ 320 – 250 = 70 boys

∴ Total number of boys studying Statistics and Physics = 180 + 70 = 250 boys