Admissions across three colleges — Aptitude Question
Admissions across three colleges: Three colleges admitted 1,200 students in all. College A took 40% of them,… Answer and worked solution on CodeKairo.
- Topic: Caselets
- Section: Data Interpretation
- Difficulty: Medium
- Time target: 75 seconds
Question
Three colleges admitted 1,200 students in all. College A took 40% of them, College B took 35%, and College C took the rest. Of College A's intake, one quarter were from outside the state.
How many of College A's students were from outside the state?
Options
- 100
- 120
- 140
- 160
Show the answer and the worked solution
Correct answer: B. 120
Worked solution
- College A's intake = 40% of 1,200 = 480.
- Outside the state = 480 ÷ 4 = 120.
Answer: 120.
The idea
Apply each percentage to its own base in order. The quarter is of College A's intake, not of the 1,200.
Shortcut. Chain the fractions: 40% × ¼ = 10%, and 10% of 1,200 = 120.
Common trap. 100 — splitting the 1,200 equally among the three colleges (400 each) before taking a quarter; College A took 40%, which is 480.