10th Class - SETS

The cardinal number of null set

• 0

• 1

• 2

• 3

Which of the following is empty set ?

• {∅}

• { x : x ∈N, 10 < x < 11}

• {x : x is an even prime number}

• { x : x is solution of 2x + 3 = 3 }

A, B are equal sets, then n(A - B) =

• n(A)

• n(B)

• n(A ⋂ B)

• n( ∅ )

The roster form of set A = {x:x is a whole number lie between 4.5 and 7.5 }

• { 5.5, 6.5 }

• { 4.5, 5.5, 6.5, 7.5 }

• { 4, 5, 6, 7 }

• { 5, 6 }

 $Set\ builder\ form\ of\ A\ =\left\{1,\ \frac{1}{8},\frac{1}{27},\frac{1}{64},\frac{1}{125}\right\}$  

•  $A\ =\ \left\{x\ :\ x\ =\ \frac{1}{n},\ n\in N,\ n\ <\ 5\right\}$  

•  $A\ =\ \left\{x\ :\ x\ =\ \frac{1}{n^3},\ n\in W,\ n\ \le\ 5\right\}$  

•  $A\ =\ \left\{x\ :\ x\ =\ \frac{1}{n^3},\ n\in N,\ n\ <\ 5\right\}$  

•  $A\ =\ \left\{x\ :\ x\ =\ \frac{1}{n^3},\ n\in N,\ n\ \le\ 5\right\}$  

Set of prime numbers less then 1000 is infinite set

• True

• False

If B ⊂ A, then A ⋂ B =

• A

• B

• A - B

• A ⋃ B

If A = {x : x is zero of polynomial x² - 6x + 9 }, then n(A)=

• 0

• 1

• 2

• none of these

A ⋂ ∅ ≠

• A

• ∅ ⋂ A

• ∅ - A

• { }

If A = { 4, 5, 6 }, then which of the following is true

• { 5 } ∈ A

• ∅ ∈ A

• 6 ∈ A

• 5 ⊂ A