NEET (2024 Updated)-National Eligibility cum Entrance Test (Medical) Chemistry Coaching Programs
📹 Video Course 2024 (8 Lectures [4 Hrs : 33 Mins]): Offline Support
Click Here to View & Get Complete Material
Rs. 100.00
1 Month Validity (Multiple Devices)
⏳ 🎯 Online Tests (5 Tests [50 Questions Each]): NTA Pattern, Analytics & Explanations
Click Here to View & Get Complete Material
Rs. 500.00
3 Year Validity (Multiple Devices)
🎓 Study Material (159 Notes): 2024-2025 Syllabus
Click Here to View & Get Complete Material
Rs. 350.00
3 Year Validity (Multiple Devices)
🎯 3111 MCQs (& PYQs) with Full Explanations (2024-2025 Exam)
Click Here to View & Get Complete Material
Rs. 650.00
3 Year Validity (Multiple Devices)
NCERT Class 11- Math՚s Exemplar Chapter 1 Sets CBSE Board Problems
Objective Type Questions
Choose the correct answer from the given four options in each of the Examples 14 to 16: (M. C. Q.)
Question 14:
Each set contains elements and each set contains elements and
If each element of S belong to exactly 10 of the and to exactly 4 of the , then n is
(A) 10
(B) 20
(C) 100
(D) 50
Answer:
The correct answer is (B)
Since,
But each element of S belong to exactly of the
So, are the number of distinct elements in S.
Also each element of S belong to exactly of the and each contain 2 elements. If S has n number of in it. Then
Which gives
Question 15:
Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of and respectively are.
(A) 7,6
(B) 5,1
(C) 6,3
(D) 8,7
Answer:
The correct answer is (C) .
Since, let A and B be such sets, i.e.. ,
So
Thus
Question 16:
The is equal to
(A)
(B)
(C)
(D)
Answer:
The correct choice is (A) .
Since
Fill in the blanks in Examples and :
Question 17:
If A and B are two finite sets, then is equal to ________
Answer:
Since
So
Question 18:
If A is a finite set containing n element, then number of subsets of A is ________
Answer:
State true or false for the following statements given in Examples 19 and 20.
Question 19:
Let R and S be the sets defined as follows:
Then
Answer:
False
Since 6 is divisible by both 3 and 2.
Thus