Math Chapter Wise

EnglishUP TGT-2016 (08-03-2019)

Q161.If A is an open set and B is a closed set, then B – A is

AOpen set BClosed set CBoth open and closed set DNone of these

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EnglishNVS PGT 10-06-2019

Q162.In a class of 25 students. 12 have taken mathematics, 8 have taken mathematics and computer science. The number of students who have taken computer science but NOT mathematics is:

A8 B13 C4 D17

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EnglishNVS PGT 10-06-2019

Q163.In a group of 70 persons, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many like coffee but NOT tea?

A16 B13 C17 D18

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EnglishNVS PGT 10-06-2019

Q164.Let A= {a, b, c, d} and B = {1,2, 3, 4,5,6}. Then the number of one-one function from A to B is:

A360 B24 C120 D180

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EnglishNVS PGT 10-06-2019

Q165.If gcd(a,b) = 1, then for any c,:

Agcd (ac, b)= gcd (a, c) Bgcd (ac, b) = gcd (a, b/c) Cgcd (ac, b) = gcd (c, b) Dgcd (ac, b) = c gcd (a, b)

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EnglishKVS PGT 23-12-2018

Q166.If f(x) cosx sinx = − = − then f ' 3 π is equal to:

A3 1 2 + − B3 1 2 − + C−3 1/2 D3 1 2 +

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EnglishKVS PGT 23-12-2018

Q167.The range of function ((()) 1 f(x), x R 4 sin2x = ∈ − is:

A[1, 2] B1 1, 3 2 C1 1, 5 3 D[2, 3]

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EnglishKVS PGT 23-12-2018

Q168.The values of x satisfying 2 2 sin x cos x 2 2 1 − = − = are:

Ak,k I π ∈ B() 2k 1,k I + π ∈ C1 k,k I 2 + π ∈ D1 2k,k I 2 + π ∈

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EnglishKVS PGT 23-12-2018

Q169.In a survey of 55 students, it is found that 30 students read newspaper A, 20 read newspaper B and 7 read both the newspapers. The number of students who read none of the newspapers is:

A7 B12 C13 D23

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EnglishKVS PGT 23-12-2018

Q170.The number of real roots of the equation (((()))) 2 log x 2x 2 x 2 − = − = − are:

A0 B1 C2 D3

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EnglishKVS PGT 23-12-2018

Q171.If A and B are subsets of the set of integers such that { { { } } A x: 4 x 10 = − ≤ = − ≤ = − ≤ = − ≤ and { { } } B x: 3 x 9 = − < < = − < < = − < < = − < <, then A B ∩ ∩ equals:

AA BA–B CB–A DB

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EnglishKVS PGT 23-12-2018

Q172.The domain of the function 1 f(x) | x | x = − is:

A(0, ∞) B(–∞, 0) C(–∞, ∞) D(–∞,∞)–{0}

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EnglishKVS PGT 23-12-2018

Q173.Matrices of order 3× × ×3 are formed by using the elements of the set A={–3, –2, –1, 0, 1, 2, 3}, then probability that matrix is either symmetric or skew symmetric is

A6 3 1 1 7 7 + B9 3 6 1 1 1 7 7 7 + − C3 9 1 1 7 7 + D3 6 9 1 1 1 7 7 7 + −

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EnglishKVS PGT 23-12-2018

Q174.If x is real, then the values of 2 x x 5x 9 − + are:

A1 1, 11 − − B1,1 11 − C1,1 11 D1,0 11 −

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EnglishKVS PGT 23-12-2018

Q175.A class has 175 Students. The number of students studying one or more of the subjects in this class is as below: Mathematics 100, Physics 70, Chemistry 46, Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23, Mathematics, Physics and Chemistry 18. The number of students enrolled in Mathematics alone is:

A13 B35 C60 D32

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EnglishKVS PGT 23-12-2018

Q176.If A and B are two sets containing 2 elements and 4 elements respectively, then number of subsets of A× × ×B having 3 or more elements is:

A211 B219 C220 D256

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EnglishUP PGT-2016 (02-02-2019)

Q177.tan–1 x > cot–1 x is true for

Ax=1 Bx>1 Cx<1 DAll values of x

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EnglishUP PGT-2016 (02-02-2019)

Q178.Domain of the function x x f(x) 2 5 = − = − is

Ax < 0 Bx ≤ 0 Cx > 0 Dx ≥ 0

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EnglishUP PGT-2016 (02-02-2019)

Q179.Number of all onto functions from the set {1,2,3,4,5} to itself is

A25 B25/–1 C5 D4

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EnglishUP PGT-2016 (02-02-2019)

Q180.If { { { } } n A 4 3n 1,n N = − − ∈ = − − ∈ = − − ∈ = − − ∈ and (()) { { } } B 9 n 1,n N = − ∈ = − ∈ = − ∈ = − ∈ then which of the following is true?

AA ⊆ B BB ⊆ A CA ∪B = A DNone of the above

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