Important Questions of Sets Mathematics | Zigya

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement
31.

The number of subsets of {1, 2, 3, . . . , 9} containing at least one odd number is

  • 324

  • 396

  • 496

  • 512


32.

If a set A has 5 elements, then the number of ways of selecting two subsets P and Q from A such that P and Q are mutually disjoint, is

  • 64

  • 128

  • 243

  • 729


33.

Let N be the set of all natural numbers, Z be
the set of all integers and σ : N  Z be defined by

σn = n2, if n is even- n - 12, if n is odd. Then,

  • σ is onto but not one-one

  • σ is one-one but not onto

  • σ  is neither one-one nor onto

  • σ is one-one and onto


34.

The set of all values of a such that both the points (1, 2) and (3, 4) lie on the same side of the line 3x - 5y + a = 0

  • x  IR x > 11

  • x  IR x > 11  x  IR x < 7

  • x  IR x < 7

  • ϕ


Advertisement
35.

Let S be the set of all λ  R for which the system of linear equations

2x – y + 2z = 2

x – 2y + λz = – 4

x + λy + z = 4

has no solution. Then, the set S

  • is a singleton

  • contains exactly two elements

  • contains more than two elements

  • is an empty set


36.

The set of all real values of λ for which the quadratic equation (λ+ 1) x2 – 4λx + 2 = 0 always have exactly one root in the interval (0, 1) is :

  • ( - 3, - 1)

  • (0, 2)

  • (1, 3)

  • (2, 4)


37.

Let p, q, r be three statements such that the truth value of p  q  ~ q  r is F. Then the truth values of p, q, r are respectively :

  • T, T, F

  • T, T, T

  • T, F, T

  • F, T, F


38.

Let i = 150X = i = 1nyi = T, where each Xi contains 10 elements and each Yi contains 5 elements. If each element of the set T is an element of exactly 20 of sets Xi's and exactly 6 of sets Yi's then n is equal to :

  • 45

  • 15

  • 30

  • 50


Advertisement

 Multiple Choice QuestionsShort Answer Type

39.

Set A has m elements and Set B has n elements. If the total number of subsets of A is 112 more than the total number of subsets of B, then the value of m - n is _____


 Multiple Choice QuestionsMultiple Choice Questions

40.

If x + y = fxfy and x = 1 fx = 2, x, y  N is the set of all natural numbers, then the value of f4f2 is : 

  • 23

  • 13

  • 19

  • 49


Advertisement