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NDA Exam Mathematics Study Material

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Sets and their Representations

In a class of 50 students, 35 students play carom and 30 students play kabaddi; identify the students playing both the games.

a) 15
b) 20
c) 50
d) 40

✔Answer

Correct Answer Is : 15

Solution Is :

How many elements does P(A) have If A=∮

a) 3
b) 2
c) 0
d) 1

✔Answer

Correct Answer Is : 1

Solution Is :

If A={2,4,6,8,10},B={3,4,5,6,7},So A-B=?

a) {2,4,5,6,7}
b) {2,3,4,5,6,7,8,10}
c) {2,6,8,10}
d) {2,8,10}

✔Answer

Correct Answer Is : {2,8,10}

Solution Is :

A set having a single element is called as _________

a) Singleton set
b) Finite set
c) Infinite set
d) Empty set

✔Answer

Correct Answer Is : Singleton set

Solution Is :

If Q is the set of all rational numbers & R is the set of real numbers then

a) R⊂Q
b) Q⊂R
c) Both a and b
d) None of this

✔Answer

Correct Answer Is : Q⊂R

Solution Is :

If P = {1,2,3}, then the number of proper subsets of P is:

a) 3
b) 2
c) 8
d) 6

✔Answer

Correct Answer Is : 6

Solution Is :

If n (A) = 10, n(B) = 24 and n(A∪B) = 28 then n(A∩B) =

a) 6
b) 2
c) 3
d) 5

✔Answer

Correct Answer Is : 6

Solution Is :

Number of elements in the power set of a set with n elements =

a) 2⋀n
b) 2⋀n+1
c) 2⋀n-2
d) 2⋀n-1

✔Answer

Correct Answer Is : 2⋀n

Solution Is :

(A-B)∪B=

a) A?B
b) A ⊃ B
c) A∩B
d) B∪A

✔Answer

Correct Answer Is : A?B

Solution Is :

In a college of 40 students 14 like red color and 29 like yellow. If 5 students like both, how many students neither like any of color?

a) 2
b) 14
c) 45
d) 18

✔Answer

Correct Answer Is : 2

Solution Is :

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NDA Exam Mathematics Study Material

Sets and their Representations

In a class of 50 students, 35 students play carom and 30 students play kabaddi; identify the students playing both the games.

Correct Answer Is : 15

Solution Is :

How many elements does P(A) have If A=∮

Correct Answer Is : 1

Solution Is :

If A={2,4,6,8,10},B={3,4,5,6,7},So A-B=?

Correct Answer Is : {2,8,10}

Solution Is :

A set having a single element is called as _________

Correct Answer Is : Singleton set

Solution Is :

If Q is the set of all rational numbers & R is the set of real numbers then

Correct Answer Is : Q⊂R

Solution Is :

If P = {1,2,3}, then the number of proper subsets of P is:

Correct Answer Is : 6

Solution Is :

If n (A) = 10, n(B) = 24 and n(A∪B) = 28 then n(A∩B) =

Correct Answer Is : 6

Solution Is :

Number of elements in the power set of a set with n elements =

Correct Answer Is : 2⋀n

Solution Is :

(A-B)∪B=

Correct Answer Is : A?B

Solution Is :

In a college of 40 students 14 like red color and 29 like yellow. If 5 students like both, how many students neither like any of color?

Correct Answer Is : 2

Solution Is :

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