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Mathematical Analysis.d

Mathematical Analysis.d

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70 вопросов Вариант 1 Доступ 7 дней
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Вопросы и варианты

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Вопрос 1

If A and B are sets and A∪ B= A ∩ B, then…

  1. A = Φ
  2. A = B
  3. B = Φ
  4. A ≠ B
Вопрос 2

If X and Y are two sets, then X ∩ (Y ∪ X) equals …

  1. X
  2. Y
  3. Ø
  4. X ∪ Y
Вопрос 3

Which of the following sets are null sets?

  1. {0}
  2. Ø
  3. { }
  4. Ø & { }
Вопрос 4

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?

  1. 18
  2. 36
  3. 24
  4. 22
Вопрос 5

A … is an ordered collection of objects.

  1. relation
  2. function
  3. set
  4. proposition
Вопрос 6

Power set of the empty set has exactly … subset.

  1. one
  2. two
  3. zero
  4. three
Вопрос 7

The set of positive integers is …

  1. infinite
  2. finite
  3. subset
  4. empty
Вопрос 8

The members of the set S = {x | x is the square of an integer and x < 100} is …

  1. {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
  2. {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
  3. {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
  4. {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}
Вопрос 9

What is the cardinality of the set of odd positive integers less than 10?

  1. 10
  2. 20
  3. 3
  4. 5
Вопрос 10

If A = { Sami, John, Green, Joe, Adam } then n(A) = …

  1. 5
  2. 4
  3. 2^2
  4. 0
Вопрос 11

Which of the following two sets are equal?

  1. A = {1, 2} and B = {1}
  2. A = {1, 2} and B = {1, 2, 3}
  3. A = {1, 2, 3} and B = {2, 1, 3}
  4. A = {1, 2, 4} and B = {1, 2, 3}
Вопрос 12

Let B = {1, 2} then P(B) = . . .

  1. {Ø,{1},{2}}
  2. {Ø,{1},{2},{3}}
  3. {Ø,{1},{2},{1,2}}
  4. {Ø,{2},{3}}
Вопрос 13

If A={1, 2, 3, 4} and B={4, 5, 6, 7} then A∪B should be . . .

  1. {2, 3, 4, 5, 6, 7}
  2. {1, 2, 3, 4, 5, 6, 7}
  3. {4}
  4. {1, 2, 3, 5, 6, 7}
Вопрос 14

If A={2, 3, 4, 5, 6} and B={4, 5, 6, 7} then A∩B should be

  1. {2, 3, 4, 5, 6, 7}
  2. {4, 5, 6, 7}
  3. {4, 5, 6}
  4. {0}
Вопрос 15

If X = {1, 2, 3, 4, 5} and Y = {2, 4, 5, 6, 9} then Y - X equals to

  1. {4, 5}
  2. {1, 6}
  3. {6, 9}
  4. {1, 3}
Вопрос 16

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

  1. intersection of A and B
  2. union of A and B
  3. complement of A
  4. complement of B
Вопрос 17

Order of the power set of a set of order n is …

  1. n
  2. 2^n
  3. n^2
  4. 2^n
Вопрос 18

Number of subsets of a set of order three is

  1. 8
  2. 6
  3. 3
  4. 9
Вопрос 19

Let A = {1,2}; B = {a,b}, so A x B = …

  1. {(1,a),(1,b),(1,ab),(2,a),(2,b),(2,ab)}
  2. {(1,a),(1,b),(2,a),(2,b),(1,2),(a,b)}
  3. {(1,a),(1,b),(2,a),(2,b)}
  4. {(1,2),(1,a),(1,b),(2,a),(2,b),(a,b)}
Вопрос 20

If E = { 1 , 2 , 3 } and F = { 3 , 2 , 1 }, then the two sets are …

  1. equal
  2. equivalent
  3. not equal
  4. equal and equivalent
Вопрос 21

The product of a rational and irrational number is …

  1. rational
  2. irrational
  3. zero
  4. infinity
Вопрос 22

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 . . .

  1. empty
  2. finite
  3. countable
  4. uncountable
Вопрос 23

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

  1. empty
  2. finite
  3. countable
  4. uncountable
Вопрос 24

If b = 3, then any integer can be expressed as a =

  1. 3q, 3q+ 1, 3q + 2
  2. 3q+2
  3. 3q+ 1
  4. 3q
Вопрос 25

Which number is divisible by 11?

  1. 1516
  2. 1452
  3. 1011
  4. 1121
Вопрос 26

The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is …

  1. 5
  2. 100
  3. 20
  4. 60
Вопрос 27

When a number is divided by 7, its remainder is always:

  1. greater than 7
  2. at least 7
  3. less than 7
  4. at most 7
Вопрос 28

For some integer p, every even integer is of the form

  1. 2p + 1
  2. 2p
  3. p + 1
  4. p
Вопрос 29

m^2 – 1 is divisible by 8, if m is

  1. an even integer
  2. an odd integer
  3. a natural number
  4. a whole number
Вопрос 30

For some integer p, every odd integer is of the form

  1. 2p + 1
  2. 2p
  3. p + 1
  4. p
Вопрос 31

Let the sequence be 1, 3, 5, 7, 9 … then this sequence is …

  1. An arithmetic sequence
  2. A geometric progression
  3. A harmonic sequence
  4. None arithmetic sequence
Вопрос 32

In the given AP series find the number of terms 5, 8, 11, 14, 17, 20 … 50.

  1. 11
  2. 13
  3. 15
  4. 16
Вопрос 33

In the given AP series the term at position 11 would be? 5, 8, 11, 14, 17, 20 … 50.

  1. 35
  2. 45
  3. 25
  4. 37
Вопрос 34

Which of the following sequences in AP will have common difference 3, where n is an Integer?

  1. an = 2n2 + 3n
  2. an = 2n2 + 3
  3. an = 3n2 + 3n
  4. an = 5 + 3n
Вопрос 35

Let the sum of the 3 consecutive terms in AP be 180 then midlle of those 3 terms would be …

  1. 60
  2. 80
  3. 90
  4. 179
Вопрос 36

If in an A.P., first term is 20 and 12th term is 120. Find the sum up to 12th term.

  1. 420
  2. 840
  3. 40
  4. 680
Вопрос 37

If an A.P. is 1,7,13, 19 … Find the sum of 22 terms.

  1. 127
  2. 1204
  3. 1604
  4. 1408
Вопрос 38

If sum of n terms of an A.P. is n2+5n then find general term.

  1. n+1
  2. 3n
  3. 2n
  4. n2+3n
Вопрос 39

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.

  1. 60
  2. 42
  3. 40
  4. 63
Вопрос 40

If an A.P. is 3,5,7,9 … Find the 12th term of the A.P.

  1. 12
  2. 21
  3. 22
  4. 25
Вопрос 41

… It is the most important series we will encounter

  1. An arithmetic sequence
  2. A geometric series
  3. A harmonic sequence
  4. None arithmetic sequence
Вопрос 42

Find the sum of first n terms.

  1. n(n+1)/2
  2. (n(n+1)/2)3
  3. n(n+1)(2n+1)/6
  4. (n(n+1)2)2
Вопрос 43

Find the sum 1^2+2^2+3^2+ … +10^2.

  1. 325
  2. 385
  3. 365
  4. 435
Вопрос 44

Find the sum 1^3+2^3+3^3+ … +8^3.

  1. 1225
  2. 1184
  3. 1475
  4. 1296
Вопрос 45

Find the sum of series up to 6^th term whose nth term is given by n^2 + 3^n.

  1. 91
  2. 1284
  3. 1183
  4. 1092
Вопрос 46

Find the sum up to 7th term of series 2+3+5+8+12+ …

  1. 70
  2. 490
  3. 340
  4. 420
Вопрос 47

Find the sum of series 6^2+7^2+ … +15^2.

  1. 55
  2. 1240
  3. 1185
  4. 1385
Вопрос 48

Find the sum of series 6^3+7^3+ … +20^3.

  1. 83775
  2. 43875
  3. 43775
  4. 43975
Вопрос 49

Find the sum of series 1^3+3^3+5^3+ … +11^3.

  1. 5248
  2. 6589
  3. 9874
  4. 2556
Вопрос 50

Find the sum of series 1^2+3^2+5^2+ … +11^2.

  1. 279
  2. 286
  3. 309
  4. 409
Вопрос 51

A sequence converges when it keeps getting … to a certain value

  1. far
  2. closer
  3. equal
  4. negative
Вопрос 52

The terms of 1/n are: 1, 1/2, 1/3, 1/4, 1/5 and so on, And that sequence converges to …

  1. 5
  2. -5
  3. 0
  4. 10
Вопрос 53

If X and Y are two systems satisfying the axioms for the real numbers, then X and Y are isomorphic. This theorem is the …

  1. notational conventions
  2. uniqueness
  3. convergent
  4. Identity
Вопрос 54

In mathematics, a … is a value of a continuous quantity that can represent a distance along a line

  1. real number
  2. integer
  3. whole
  4. natural
Вопрос 55

… 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

  1. Identity
  2. Bolzano–Weierstrass
  3. Convergence
  4. Uniqueness
Вопрос 56

A sequence is called a … sequence if the terms of the sequence eventually all become arbitrarily close to one another.react

  1. unique
  2. cauchy
  3. uniform
  4. non-uniform
Вопрос 57

… are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.

  1. Limits
  2. Real numbers
  3. 0’s
  4. Theorems
Вопрос 58

… invented the real numbers

  1. Richard Dedekind
  2. Bolzano–Weierstrass
  3. Pascal
  4. Arbermouth Holst
Вопрос 59

… is the smallest data value that can go into the class.

  1. Class limit
  2. Limit
  3. Upper limit
  4. Lower limit
Вопрос 60

What is the upper class limit of the class 45-50?

  1. 47.5
  2. 50
  3. 45
  4. 5
Вопрос 61

Propositional logic uses symbols to stand for statements and...

  1. nonstatements
  2. the relationships between subject and predicate
  3. truth values
  4. the relationships between statements
Вопрос 62

It is impossible for a valid argument to have true premises and…

  1. a true conclusion
  2. a negated conclusion
  3. a conditional
  4. a false conclusion
Вопрос 63

If -7 > a and a > b then -7 is

  1. less than a
  2. greater than b
  3. grater than a
  4. less than bTensorflow
Вопрос 64

By solving the inequality 6x - 7 > 5, the answer will be

  1. x > 6
  2. x < 5
  3. x < 7
  4. x > 2
Вопрос 65

…is formed by the study of vector spaces endowed with some kind of limit-related structure algorithm

  1. Functional analysis
  2. Differential equations
  3. Real analysis
  4. Complex analysis
Вопрос 66

Contrary propositions cannot both be …

  1. true
  2. false
  3. true and false
  4. Doubtful
Вопрос 67

Which of the following option is true?

  1. 3 +2 = 8 if 5-2 = 7
  2. 1 > 3 and 3 is a positive integer
  3. If the Sun is a planet, elephants will fly
  4. -2 > 3 or 3 is a negative integer
Вопрос 68

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’.

  1. 1
  2. 3
  3. 0
  4. 2
Вопрос 69

Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?

  1. if I am in bangalore then I love cricket
  2. if i love cricket then I am in bangalore
  3. I am not in bangalore
  4. I love cricketdata
Вопрос 70

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?

  1. ~P V ~Q
  2. P ∧ ~Q
  3. P V Q
  4. P ∧ Q