**CBSE 11 Mathematics **

**Practice Paper 02**

**1. Let \(A = {X:X^2-5X+6=0}, B = {2, 4}, C = {4, 5}\). Write A × (BꓵC).**

**2. If A = {1, 2, 3, 4, 5}, then write the number of proper subsets of A.**

**3. Find the value of x - y if x = {a, b, c, d} and y = {b, d, f. g}.**

**4. If A = {1, 2, 3}, B = {4, 5, 6} and verify A∪(BꓵC) = (A∪B)ꓵ( A∪C).**

**5. Let x and y be two sets. X = {x:x is a natural number and 1<x≤6}, y= {x:x is a natural number and 6<x<10}. Find the value of**

**(A) XꓵY**

**(B) X∪Y**

**6.**

**If A = {1, 2} and B = {3, 4}, then how many subsets will A×B have?**

**7. There are 200 people with a skin disorder, 120 had been exposed to the chemical C1, 50 to chemical C2 and 30 to both the chemical C1 and C2. Find the number of people exposed to**

**(A) Chemical C2 but not chemical C1.**

**(B) Chemical C1 or chemical C2.**

**8.**

**If \(A = \{(x, y): x^2+y^2 = 25 \) where \(x, y \in W\} \), write a set of all possible ordered pairs.**

**9. If x = {a, b, c, d, e} and y = {e, a, b, c, d}. Find x-y.**

**10.**

**Find Sets A, B and C such that A∩B, B∩C and A∩C are non empty sets and A∩B∩C=∅.**

**11. Show that the following condition are equivalent -**

**(A) A⊂B (B) A-B= ∅ (C) A∩B (D) A∪B**

**12. In a group of 35 student, 17 like Mathematics, 10 like Mathematics but not Physics. Find the number of students who like both Mathematics and Physics both.**

**13. If 45% of the students of a class liked Mathematics and 85% of them Biology, find the percentage of students who liked Biology only.**

**14.**

**In a survey of 650 people, it was found that 140 play cricket, 360 play tennis and 70 play both cricket as well as tennis. How many play neither cricket nor tennis?**

**15. In a group of students, 300 students know French, 100 know Spanish and 70 know both. Each student knows either French or Spanish. How many students are there in the group?**

**16. In a group of 800 people, 450 can speak Hindi and 320 can speak English. Find**

**(A) How many can speak both Hindi and English?**

**(B) How many can speak Hindi only?**

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