Math Chapter Wise

EnglishUKPSC GIC 2018

Q161.If 0 < a < 1 and x > y, then

ALogax > Logay BLogax < Logay CLogax = Logay DNone of these

Show answer

EnglishUKPSC GIC 2018

Q162.which of the following is not a convex set?

A{(x, y): x2 + y2 > 4 } B{(x, y): 2x + 5y < 7} C{(x, y): x2 + y2 ≤ 4 } D{(x, y): 2x + 5y > 7}

Show answer

EnglishUKPSC GIC 2018

Q163.Let A and B be two sets such that n(A) = 20, n(A∪ ∪ ∪B) = 42 and n(A∩ ∩ ∩B) = 4, then the value of n(B) is

A16 B20 C26 D30

Show answer

EnglishUKPSC GIC 2018

Q164.If A and B are two given sets, then A∩ ∩ ∩(A∩ ∩ ∩B)C is:

AA BB CA∩BC DAC/∩B

Show answer

EnglishUKPSC GIC 2018

Q165.The value of the parameter α, for which the function f(x) = 1+αx, α ≠ 0 is the inverse of itself, is

A–2 B–1 C2 D1

Show answer

EnglishUP. PCS (Pre)1994 UP TGT-2016 (08-03-2019)

Q166.If 2 cos x f(x), 1 sin x = + then the value of f 3f ' 4 4 π − is

A0 B1 C3 D4

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q167.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

Show answer

EnglishUP TGT-2016 (08-03-2019)

Q168.If f'(x)=g(x) and g'(x)=f(x2), then f"(x2) is equal to

Ag(x2/) Bf(x4/) Cf(x3/) Dg(x4/)

Show answer

EnglishNVS PGT 10-06-2019

Q169.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

Show answer

EnglishNVS PGT 10-06-2019

Q170.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

Show answer

EnglishNVS PGT 10-06-2019

Q171.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

Show answer

EnglishNVS PGT 10-06-2019

Q172.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)

Show answer

EnglishKVS PGT 23-12-2018

Q173.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 +

Show answer

EnglishKVS PGT 23-12-2018

Q174.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]

Show answer

EnglishKVS PGT 23-12-2018

Q175.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 ∈

Show answer

EnglishKVS PGT 23-12-2018

Q176.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

Show answer

EnglishKVS PGT 23-12-2018

Q177.The number of real roots of the equation (((()))) 2 log x 2x 2 x 2 − = − = − are:

A0 B1 C2 D3

Show answer

EnglishKVS PGT 23-12-2018

Q178.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

Show answer

EnglishKVS PGT 23-12-2018

Q179.The domain of the function 1 f(x) | x | x = − is:

A(0, ∞) B(–∞, 0) C(–∞, ∞) D(–∞,∞)–{0}

Show answer

EnglishKVS PGT 23-12-2018

Q180.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 + −

Show answer