CA Foundation P3 · Chapter 7 · Question 2 of 9
In a group of 200 people, 120 drink tea, 90 drink coffee and 40 drink both. The number of people who drink neither tea nor coffee is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) 30
Explanation
n(T ∪ C) = n(T) + n(C) − n(T ∩ C) = 120 + 90 − 40 = 170. Neither = 200 − 170 = 30. Forgetting to subtract the overlap gives 200 − 210, which is impossible, and is a sign the intersection was missed.
More Sets, Relations and Functions, Basics of Limits and Continuity of Functions MCQs
- Q4If f(x) = 2x + 3 and g(x) = x², then (f∘g)(2) is:
- Q5The inverse of the function f(x) = (3x − 5)/2 is:
- Q6The value of lim (x→3) (x² − 9)/(x − 3) is:
- Q7The value of lim (x→∞) (4x² + 3x)/(2x² − 7) is:
- Q8The function f(x) = kx + 1 for x ≤ 2 and f(x) = 3x − 1 for x > 2 is continuous at x = 2. The value of k is: