Math Chapter Wise

EnglishDSSSB TGT 04-09-2021 Shift-I (Male)

Q121.What is the representation of an open disk D(x,y) of radius r centered at origin in R2?

AD ={(x,y)| x2 +y2 < r2 } BD ={(x,y)| x2 +y2 > r2 } CD ={(x,y)| x2 +y2 = r2 } DD ={(x,y)| x2 +y2 < r }

Show answer

EnglishHaryana PGT 2020

Q122.If f(x) = loge (), 2 x + 1+ x then f–1 (x) is equal to:

Ax x e e 2 − Bx x e e 2 − + Cx x e e − + Dx x e e − + −

Show answer

EnglishUKPSC GIC 2018

Q123.A relation R = {(1, 1), (1, 2) (2, 1)} is defined on the set A = {1, 2, 3}, then relation R is

AReflexive BReflexive and transitive CEquivalence relation DSymmetric

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q124.Let f(x) be defined by f(x + y) = f(x) +f(y) for all real numbers x and y, then f(x) is:

Aan odd function Ban even function Can even or an odd function DNone of these

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q125.Which of the following functions is surjective?

Af: R → R defined by f (x) = x2 Bf: R+ → R defined by f (x) = x2 Cf: R+ → R defined by f (x) = x2 Df: R+ → R defined by f (x) = x

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q126.If functions f: R → R and g: R → R are defined as 2 7 8, 1 f() 4 5, 1 7 8 3, 7 + − ≤ = < ≤ + > x x x x x+ x x x and 2 3 g() 0, 3 2 4, 2 − = − ≤ < + ≥ | x |, x < x x then

A(fog) (–3) = 8 B(fog) (9) = 683 C(gof) (9) = – 8 D(gof) (6) = 427

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q127.If f(x) = cos 2 [π ]x + cos[ 2 π − ]x, where [x] stands for the greatest integer function, then π f 2 =

A–1 B1 C0 D2

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q128.The total number of functions f: (1,2..…., m} → {1,2, ….,n} is here m ≠ n): is (here m≠ n)

Am(m–1)....... (m – n + 1) Bn(n–1)....... (n –m + 1) Cmn Dnm

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q129.Let the function f and g be defined by f(x) = 2x + 1 and g(x) = x2 – 2 then the composite function (gof) (x) is given by:

A4x2/+ 4x– 1 Bx2/+ 2x– 1 C4x2/– 3 D2x2/– 3

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q130.If A = {1,2,3} and R= {(1,2),(2,3),(1,3)} is a relation on A, then R is:

Aneither reflexive nor transitive Bneither symmetric nor transitive Ctransitive Dan equivalence relation

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q131.The range of the function 2 x,when x 0 f(x) x,when0 x 1 1,when x 1 x < = ≤ > defined for real numbers is:

A(– ∞,∞) B[0,1] C(– ∞,0) D[0, ∞)

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q132.The maximum number of equivalence relations on the set A = {1,2,3} is:

A1 B2 C9 D5

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q133.The function f: R → R defined by f(x) = 6x + 6|x| is:

Aone-one into Bone-one onto Cmany-one onto Dmany-one into

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q134.Let A,B,C be subsets of the universal set v. If n(v) = 692, n(B) = 230, n(C) = 370, n(B C) 90 ∩ = and n(A B' C') 10 ∩ ∩ =, then n(A' B' C') ∩ ∩ is equal to:

A172 B272 C362 D350

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q135.Let A = {(x, y, z): x, y, z are positive integers and x + y + z = 12}. Then the number of elements in A is:

A122 B78 C55 D36

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q136.If X, Y, Z are any three sets such that X Y Z, ⊆ ⊆ then Z – (Y – X) =

AX (Z Y)/∪ − BX (Z Y)/− ∪ CX (Y Z)/∪ − DX (Z Y)/− −

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q137.A relation R is defined on the set of positive integers as xRy if 2x + y≤5. The relation R is:

Areflexive Btransitive Csymmetric DNone of these

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q138.If n 1 1 A 1,3 n n = + − for all natural numbers n, then n N ∪ ∈ An is, where N is the set of natural numbers.

A[1,3] B(1,3] C[1,3) D(1,3)

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q139.Range of the function 3 2 f() 3 10 2sin = + + + x x x x x, for all R ∈ x is:

A(0, 2) B(,) −∞ ∞ C(,0) −∞ D(0,) ∞

Show answer

EnglishUKPSC Lecturer (Mains) 2020

Q140.A market research group conducted a survey of 1000 consumers and reported that 720 consumers liked product A and 450 liked product B. The number of consumers that have liked both products is:

A150 B170 C160 D180

Show answer