Home › Previous year questions › GATE 2024 ST › Question 3GATE 2024 ST – Question 3 General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice
Of 10000 students,1500 like neither their core nor other branches. The number liking core branches is one quarter the number liking other branches;500 like both. Find the number liking core branches.
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Show answer and explanation Correct answer: (A) 1800
Explanation Let core count be C,other count 4C. Inclusion–exclusion gives C+4C−500=10000−1500=8500. Thus 5C=9000 and **C=1800, A**.
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