Mathematical Analysis.d

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If A and B are sets and A∪ B= A ∩ B, then…
If X and Y are two sets, then X ∩ (Y ∪ X) equals …
Which of the following sets are null sets?
In a contest, half the number of experts voted for Mr. A and two thirds voted for Mr. B. 10 voted for both and 6 did not vote for either. How many experts were there in all?
A … is an ordered collection of objects.
Power set of the empty set has exactly … subset.
The set of positive integers is …
The members of the set S = {x | x is the square of an integer and x < 100} is …
What is the cardinality of the set of odd positive integers less than 10?
If A = { Sami, John, Green, Joe, Adam } then n(A) = …
Which of the following two sets are equal?
Let B = {1, 2} then P(B) = . . .
If A={1, 2, 3, 4} and B={4, 5, 6, 7} then A∪B should be . . .
If A={2, 3, 4, 5, 6} and B={4, 5, 6, 7} then A∩B should be
If X = {1, 2, 3, 4, 5} and Y = {2, 4, 5, 6, 9} then Y — X equals to
If 2 sets A and B are given, then the set consisting of all the elements which are either in A or in B or in both is called
Order of the power set of a set of order n is …
Number of subsets of a set of order three is
Let A = {1,2}; B = {a,b}, so A x B = …
If E = { 1 , 2 , 3 } and F = { 3 , 2 , 1 }, then the two sets are …
The product of a rational and irrational number is …
If A is a countable set, and B is an uncountable set, then the most we can say about (A union B) is that it is . . .
If A is a finite set, and B is a finite set, then the most we can say about (A intersect B) is that it is
If b = 3, then any integer can be expressed as a =
Which number is divisible by 11?
The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is …
When a number is divided by 7, its remainder is always:
For some integer p, every even integer is of the form
m^2 – 1 is divisible by 8, if m is
For some integer p, every odd integer is of the form
Let the sequence be 1, 3, 5, 7, 9 … then this sequence is …
In the given AP series find the number of terms 5, 8, 11, 14, 17, 20 … 50.
In the given AP series the term at position 11 would be? 5, 8, 11, 14, 17, 20 … 50.
Which of the following sequences in AP will have common difference 3, where n is an Integer?
Let the sum of the 3 consecutive terms in AP be 180 then midlle of those 3 terms would be …
If in an A.P., first term is 20 and 12th term is 120. Find the sum up to 12th term.
If an A.P. is 1,7,13, 19 … Find the sum of 22 terms.
If sum of n terms of an A.P. is n2+5n then find general term.
If 3rd term of an A.P. is 6 and 5th term of that A.P. is 12. Then find the 21st term of that A.P.
If an A.P. is 3,5,7,9 … Find the 12th term of the A.P.
… It is the most important series we will encounter
Find the sum of first n terms.
Find the sum 1^2+2^2+3^2+ … +10^2.
Find the sum 1^3+2^3+3^3+ … +8^3.
Find the sum of series up to 6^th term whose nth term is given by n^2 + 3^n.
Find the sum up to 7th term of series 2+3+5+8+12+ …
Find the sum of series 6^2+7^2+ … +15^2.
Find the sum of series 6^3+7^3+ … +20^3.
Find the sum of series 1^3+3^3+5^3+ … +11^3.
Find the sum of series 1^2+3^2+5^2+ … +11^2.
A sequence converges when it keeps getting … to a certain value
The terms of 1/n are: 1, 1/2, 1/3, 1/4, 1/5 and so on, And that sequence converges to …
If X and Y are two systems satisfying the axioms for the real numbers, then X and Y are isomorphic. This theorem is the …
In mathematics, a … is a value of a continuous quantity that can represent a distance along a line
… theorem is a fundamental result about convergence in a finite-dimensional Euclidean space Rn. The theorem states that each bounded sequence in Rn has a convergent subsequence.react
A sequence is called a … sequence if the terms of the sequence eventually all become arbitrarily close to one another.react
… are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.
… invented the real numbers
… is the smallest data value that can go into the class.
What is the upper class limit of the class 45-50?
Propositional logic uses symbols to stand for statements and…
It is impossible for a valid argument to have true premises and…
If -7 > a and a > b then -7 is
By solving the inequality 6x — 7 > 5, the answer will be
…is formed by the study of vector spaces endowed with some kind of limit-related structure algorithm
Contrary propositions cannot both be …
Which of the following option is true?
What is the value of x after this statement, assuming the initial value of x is 5? ‘If x equals to one then x=x+2 else x=0’.
Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?
Let P: This is a great website, Q: You should not come back here. Then ‘This is a great website and you should come back here.’ is best represented by?