Maths Quiz Chapter Sets Class 11 NDA revision
 1. How many elements are there in the complement of Set AA) 0B) None of theseC) 1D) All the Elements of A2. Empty set is a___A) Unknown SetB) Infinite SetC) Finite SetD) Universal set3. The number of elements in the Power Set P(S) of the set S= {1, 2, 3} is___A) None of theseB) 2C) 8D) 44. Order of the power set P(A) of a set of order n is equal to___A) 2nB) nC) 2nD) n25. Which of the following two sets are equal ?A) A= (1,2,3) and B =(1,2,3)B) A=(1,2,3) and B =(2,1,3)C) A= (1,2) and B =(1)D) A= (1,2) and B = (1,2,3)6. Let U = {1,2,3,4,5,6,7,8,9,10}, P= {1,2,5}Q= {6,7}, then P n Q' is____A) Q'B) None of theseC) qD) P7. The Cardinality of the power ser of{x :xEN, x not greater than 10} isA) 2048B) 1024C) 1023D) None of these8. Write X= {1,4,9,16,25,...) in set builder form.A) X = { x = x is a set of square numbers}B) X = {x : x is a set of Prime Numbers}C) X = {x : x is a set of Natural Numbers}D) X = {x : x is a set of Whole numbers}9. If A, B and C are any three sets, then A x ( B u C) is equal to...A) ( A x B ) n (Ax C)B) ( A u B) x ( A u C)C) ( A x B) u ( A x C)D) None of these10. The range of the function f(x) = 3x -2, is......A) ( - infinity, infinity)B) R -{3}C) (- infinity, 0)D) (0, - infinity)11. If f(x) = lf f [(1+x) /(1-x), then f(2x)/(1+x2) is equal to___A) 3f(x)B) 2 f(x)C) {f (x)}3D) {f (x)}212. The smallest set a such A u{1,2} ={1,2,3,5.9} is________________________________A) None of theseB) {1, 2, 5, 9}C) {3, 5, 9 }D) { 2, 3, 5}13. Let R = {(x, y) : x , y belong to N, 2x+y =41}. The range is of the relation R is( See the figure)A) DB) BC) CD) A14. Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are____A) 3,3B) 3,6C) 4,7D) 4,615. The number of Proper subsets of the set {1,2, 3} is:....A) 6B) 8C) 5D) 716. If the number of elements in a set S are 5. Then the number of elements of the Power set P (S) are___A) 16B) 6C) 5D) 3217. Every set is a____itself.A) None of the aboveB) Improper subsetC) Proper subsetD) Compliment18. If x not equal to 1, and f(X) = (x +1)/(x-1) is a real function, thenf(f(f(2)))is____A) 1B) 3C) 4D) 219. In 3rd Quadrant?A) x <0, y>0B) x<0, Y >0C) x <0, y<0D) x >0, Y >020. If A u B = A u C and A n B = A n C, then....A) B = C only when A ? BB) None of theseC) B = CD) B = C only when A 1 C21. A set is known by its____A) LettersB) ValuesC) ElementsD) Members22. If the set has p elements, B has q elements then number of elements is A X B is____A) p + q +1B) p2C) p + qD) pq23. Which from the following set has closure property w.r.t multiplication?A) {-1}B) {0,-1}C) {-1. -1}D) {1, -1}24. Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of containing all determinants with value 1. Let C be the subsets of containing all determinants with value -1 theA) B has twice as many elements as CB) A = B u CC) C is emptyD) B has many elements as C25. If x, y and z are the cube roots of unity, then what is the value of xy+yz+zxA) 0B) 2C) 1D) 3
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