JEE MATHS UNIT 1 SETS, RELATIONS AND FUNCTIONS
QUIZ NO 1
TOTAL QUESTIONS = 20
1. Which of the following is not a function?
A. f(x) = √x
B. f(x) = x^2
C. f(x) = 1/x
D. f(x) = x+1
2. A function f: A → B is surjective if
A. Every element of B has a pre-image in A
B. None of these
C. Every element of A maps to a unique element in B
D. No element of A maps to any element in B
3. What is the range of the function f(x) = x^2 for x ∈ {−2, −1, 0, 1, 2}?
A. {0, 1, 2}
B. {0, 1, 4}
C. {1, 2, 3}
D. {−2, −1, 0}
4. Let A = {2, 3, 4} and B = {4, 6}, The Cartesian product A × B has how many elements?
A. 9
B. 12
C. 8
D. 6
5. If A = {1, 2, 3} and B = {2, 3, 4}, then A ∩ B is
A. {1, 3}
B. {1, 2}
C. {2, 3}
D. {3, 4}
6. Which of the following relations is reflexive?
A. R = {(1, 1)}
B. R = {(2, 3), (3, 2)}
C. R = {(1, 2), (2, 3)}
D. R = {(1, 1), (2, 2)}
7. The number of subsets of the set {a, b, c} is
A. 8
B. 3
C. 6
D. 9
8. If A = {1, 2, 3} and B = {a, b}, then the number of relations from A to B is
A. 6
B. 9
C. 12
D. 8
9. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}, then A ∩ B is
A. {1, 2}
B. {4, 5}
C. {4}
D. {5}
10. If A = {a, b, c} and B = {1, 2, 3}, how many bijections are possible from A to B?
A. 12
B. 3
C. 9
D. 6
11. If f(x) = 2x + 3, then f⁻¹(x) is
A. 2x + 3
B. (x + 3)/2
C. (x - 3)/2
D. 2x - 3
12. If f(x) = x² and g(x) = 2x + 1, then (f∘g)(x) is
A. (2x + 1)²
B. 4x² + 4x + 1
C. 2x² + 1
D. 2x + 1
13. If A = {1, 2, 3}, the number of functions from A to B, where B = {x, y} is?
A. 4
B. 8
C. 9
D. 6
14. A function f: A → B is said to be one-one if?
A. each element of B has a unique pre-image
B. each element of A has a unique image in B
C. each element of B has at least one pre-image
D. both A and B are empty sets
15. If A = {1, 2, 3} and B = {2, 3, 4}, then A ∩ B is?
A. {2, 3}
B. {2, 3}
C. {1, 2}
D. {3, 4}
16. The power set of a set containing 3 elements has how many subsets?
A. 8
B. 10
C. 3
D. 6
17. What is the domain of the function f(x) = 1/(x-2)?
A. x > 2
B. x ∈ R
C. x ≠ 2
D. x ≠ 0
18. The domain of f(x) = √(x - 4) is
A. [4,∞)
B. None of these
C. (-∞,4)
D. [4,∞)
19. The inverse of the function f(x) = 2x + 3 is?
A. 2x-3
B. (x+3)/2
C. (x-3)/2
D. x-2
20. The domain of the function f(x) = √(x - 3) is
A. (-∞, 0]
B. (-∞, 3]
C. (-∞, ∞)
D. [3, ∞)
Submit Quiz
Disclaimer for MCQ Quiz
The questions in this MCQ quiz are intended solely for educational purposes. While we strive to ensure the accuracy of the content, the information provided may not always be up-to-date or complete. The quiz creators are not liable for any misunderstandings, errors, or any consequences arising from the use of this quiz. Participants should verify any information independently before relying on it for any critical decision-making.
इस MCQ क्विज़ के प्रश्न केवल शैक्षिक उद्देश्यों के लिए हैं। हम सामग्री की सटीकता सुनिश्चित करने का प्रयास करते हैं, फिर भी यहां दी गई जानकारी हमेशा अद्यतित या पूर्ण नहीं हो सकती। क्विज़ के निर्माता किसी भी गलतफहमी, त्रुटि या इस क्विज़ के उपयोग से उत्पन्न होने वाले किसी भी परिणाम के लिए उत्तरदायी नहीं हैं। प्रतिभागियों को किसी भी महत्वपूर्ण निर्णय के लिए इस जानकारी पर निर्भर होने से पहले स्वतंत्र रूप से इसकी पुष्टि करनी चाहिए। https://www.pyqonline.com यदि कोई गलती है या कोई सुझाव है तो e-mail करें
[email protected]