Project ForgeGeneral Aptitude
Quantitative Aptitude
GATE 2024
Medium
In an engineering college of 10,000 students, 1,500 like neither their core branches nor other branches. The number of students who like their core branches is 1/4th of the number of students who like other branches. The number of students who like both their core and other branches is 500. The number of students who like their core branches is
- 1,800
- B3,500
- C1,600
- D1,500
Explanation
Students liking at least one type = 10000 − 1500 = 8500. Let Other = x, so Core = x/4. By inclusion-exclusion: Core + Other − Both = 8500, i.e. x/4 + x − 500 = 8500, so (5x/4) = 9000, giving x = 7200. Core = 7200/4 = 1800.
Source: GATE CS 2024 Session 2 (CS2) (2024)
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