Cardinal Number
Trending Questions
Q. If A={x:x is a letter in the word 'QUARANTINE'}, then the cardinality of A is
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Q. The number of elements in the set {(a, b)|2a2+3b2=35, a, b∈Z} is
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Q. Let A1, A2, ..., Am be non-empty subsets of {1, 2, 3, ..., 100} satisfying the following conditions:
(1) the numbers |A1|, |A2|, ..., |Am| are distinct ;
(2) A1, A2, ..., Am are pairwise disjoint.
(Here |A| denotes the number of elements in the set A).
Then the maximum possible value of m is
(1) the numbers |A1|, |A2|, ..., |Am| are distinct ;
(2) A1, A2, ..., Am are pairwise disjoint.
(Here |A| denotes the number of elements in the set A).
Then the maximum possible value of m is
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Q. If A={x, x∈Z and x2−4x+3x2−8x+15≤0}, then n(A)=
Q.
In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The no. of newspaper is
At least 30
At most 20
Exactly 25
None of these
Q. The number of elements in a set is called
- total number
- number set
- roster notation
- cardinal number
Q.
Suppose A1, A2, ....................., A30 are thirty sets each having 5 elements each and B1, B2, ................Bn are n sets each with 3 elements each. Let 30⋃i=1Ai=n⋃j=1Bj=S and each element of S belongs to exactly 10 of Ai's and exactly 9 of the Bj's. Then n is equal to
15
3
45
50
Q. In a survey it was found that, the number of people who like only What’s app, only Facebook, both What’s app and Facebook and neither of them are 2n, 3n, 69n, 693n
respectively. Then
respectively. Then
- n=1
- n=23
- number of people who like facebook is 69
- number of people who like facebook is 72
Q. The Set K={k:0≤k≤1, k∈R}, where R is the set of all real numbers is
- an infinite set
- a finite set
- a singleton set
Q. Suppose A1, A2, ...., A30 are thirty sets, each having 5 elements and B1, B2, ....., Bn are n sets, each with 3 elements.
Let ⋃30i=1Ai=⋃ni=1Bj=S. Each element of S belongs to exactly 10 of the Ais and exactly 9 of the Bis. Then n is equal to
Let ⋃30i=1Ai=⋃ni=1Bj=S. Each element of S belongs to exactly 10 of the Ais and exactly 9 of the Bis. Then n is equal to
- 15
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- 45
- 50