Sets

7 solved questions from Class 11 Mathematics, each with the full working. Tap any question to see the step-by-step solution.

• 1 What is the domain, range, or fundamental theorem introduced in 'Sets' (Class 11 Mathematics)? medium MCQ Functions & Theorems
• 2 What is the derivative or integral formula associated with 'Sets'? medium MCQ Calculus & Formulae
• 3 How do you find the solution set or optimum value in 'Sets'? medium MCQ Problem Solving & Optimization
• 4 What is the cardinality of the set A = 1,3,5,7,9? easy MCQ 1 mark cardinality of a finite set
• 5 Let X = 1,2,3,4,5. Find the number of subsets of X that contain at least one even number. medium 2 marks counting subsets via inclusion–exclusion
• 6 For the universal set U=a,b,c,d,e, let A=a,b and B=c,d. Find (Acup B)^c and verify that it equals A^ccap B^c. hard 2 marks De Morgan’s law for set complements
• 7 Let U=1,2,3,4,5,6,7,8,9,10. Define A=1,3,5,7,9 and B=2,4,6,8,10. How many subsets of U contain at least one element from A and at least one element from B? hard 3 marks inclusion–exclusion principle for subsets