Math Chapter Wise

EnglishEMRS PGT-2023

Q01.The domain of sin–1 3 log 3 x is:

A[–1, 9] B[–9, 1] C[–9, –1] D[1, 9]

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EnglishEMRS PGT-2023

Q02.A function f from the set of natural numbers to integers defined by n -1, when n is odd 2 is: n -, when n is even 2 f(x) =

AOnto but one - one BOne - one and onto both CNeither one- one nor onto DOne-one but not onto

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EnglishEMRS PGT-2023

Q03.Let X = {1 2, 3, 4, 5,}, A = {1, 2}, B = {3, 4, 5} and φ denote the void set. If S × T denotes the Cartesians product of sets S and T, then (X × A) ∩ ∩ ∩ (((X × B))) equals.

AA BB Cφ D×

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EnglishEMRS PGT-2023

Q04.Let A = [ 1, ∞ ∞ ∞), B = (3, ∞ ∞ ∞) and C = (–∞ ∞ ∞, 2).Then, (A ∩ B) ∪ (A ∩ C) equals:

A(0, 1) ∪ (2, 3) B(0, 2) ∪ (3, ∞) C[1, 2], ∪ (3, ∞) Dφ

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EnglishEMRS PGT-2023

Q05.Let A and B be two sets defined by: A = {(x, y): y2 = 3; x, y ∈ R} B = {(x, y): x2 = 2; x, y ∈ R} Then, the number of elements in (A∩ ∩ ∩Β Β Β) is:

A2 B4 Cmore than 4 D0

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EnglishEMRS PGT-2023

Q06.The number of students who study only L1 is:

A28 B16 C12 D34

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EnglishEMRS PGT-2023

Q07.Number of students who study atleast one of the three languages is:

A90 B60 C10 D100

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EnglishEMRS PGT-2023

Q08.Number of students who study L2 and L3 but not L1 is:

A8 B22 C24 D2

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EnglishBihar (TRE 2.0)-2023

Q09.If R be a relation on the set N of natural numbers defined by “nRm if n divides m”, then the relation R is

Areflexive and transitive but not symmetric Btransitive and symmetric Csymmetric but not transitive DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q10.Which of the following is not a set?

AThe collection of days in a week BThe collection of first five prime numbers CThe collection of first five natural numbers DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q11.If A and B are two sets, then

A(A′∪B ′) = (B ∩ A)′ B(A∪B) = (A∪B)′ C(A∩B)′ = (A′∩B ′) DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q12.If A and B are two sets with A∩ ∩ ∩B = φ, then

An (A∪B) = n(A)+ n(B) Bn (A∩B) = n(A)+ n(B) Cn (A∪B)+ n(A) = n(B) DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q13.If there are n elements in a set A, then the number of binary relations defined on the set A is

A2n Bn2 C2 n 2 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q14.If A = {1, 2, 3} and B = { 4, 5, 6}, then which of the following is bijective function?

Af = { (2, 4), (2, 5), (2, 6) } Bf = { (1, 5), (2, 4), (3, 6) } Cf = { (1, 4), (2, 5), (3, 6) } DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q15.If f:[0, 2p]→ → →R, defined by f (x) = sinx, then f (x) is

Aone-to-one function Bone-to-one and onto function Conto function DMore than one of the above ENone of the above

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EnglishEMRS TGT-2023

Q16.If X = {8n – 7n – 1: n ∈ N} and Y = {49n – 49; n ∈ N}, then:

AY ⊂ X BX = Y CX ∩ Y = φ DX ⊂ Y

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EnglishEMRS TGT-2023

Q17.Let S = {x: x is a positive multiple of 3 less than 100} P = {x: x is a prime number less than 20} then, n(S) + n(P) is:

A41 B33 C30 D34

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EnglishEMRS TGT-2023

Q18.What is the total amount of money (in rupee) collected by all the three schools A, B and C?

A14000 B21000 C17125 D15775

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EnglishEMRS TGT-2023

Q19.What is the total money (in rupee) collected by school A?

A7000 B6125 C7875 D700

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EnglishEMRS TGT-2023

Q20.If the number of handmade fans and plates are interchanged for all the schools in that order, than what is the total money (in rupee) collected by these schools?

A6750 B5000 C21250 D18000

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