Math Chapter Wise

EnglishEMRS TGT-2023

Q21.What is the total money (in rupee) collected by school B and school C?

A15725 B21000 C13125 D14000

Show answer

EnglishKVS PGT 2023

Q22.A ={1, 2, 3, 4, 5} and the relation R is given by R = {(x, y): x + y ≥8, x∈A, y∈A} then the set of ordered pairs in R are:

A{(4, 5), (5, 4), (5, 5)} B{(4, 4), (4, 5), (5, 3), (5, 5)} C{(3, 5), (4, 4), (4, 5), (5, 3), (5, 4), (5, 5)} D{(4, 5), (5, 4)}

Show answer

EnglishKVS PGT 2023

Q23.The domain of the function ƒ ƒ ƒ given by ƒ ƒ ƒ(x) = 2 x 2x 1 x x 6 + + − −

AR - {–2, 3} BR - {–3, –2} CR - {–3, 2} DR - {2, 3}

Show answer

EnglishKVS PGT 2023

Q24.A relation R is defined N→ → →N as R={(a, b): a ≥ b, a∈N and b∈N}. Then R is:

Aan equivalence relation. Breflexive and symmetric but not transitive. Creflexive, neither symmetric nor transitive. Dreflexive and transitive but not symmetric.

Show answer

EnglishKVS PGT 2023

Q25.Two sets A and B contains 4 and 5 elements respectively. Number of one - one and onto mapping from A to B is/are:

A120 B24 C20 D0

Show answer

EnglishKVS PGT 2023

Q26.Let n (∪ ∪ ∪) = 30, n (A') = 15, n(B) =5 and n (A ∩ ∩B) = 3, then n (A ∪ ∪ ∪ B) is:

A12 B25 C17 D20

Show answer

EnglishKVS PGT 2023

Q27.In a survey of two 400 students of a school, it was found that 100 like to drink coffee, 150 like to drink tea and 75 like both coffee as well as tea. Find how many students neither likes to drink coffee nor tea?

A175 B150 C250 D225

Show answer

EnglishNVS PGT 2022

Q28.In a class of 25 students, 12 have taken mathematics, 8 have taken mathematics and computer science. Also each student have taken at least one subject out of 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 2022

Q29.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

EnglishNVS PGT 2022

Q30.The range of function () 1 f x 4 sin2x = −, (x ∈ R) is:

A1 1, 2 3 B1 1, 3 2 C1 1, 5 3 D[5, 3]

Show answer

EnglishNVS PGT 2022

Q31.If the function f: R → → → R is defined by f (x) = x2 + x then the function f is:

AOne - one but not onto BOnto but not one - one CBoth one -one and onto DNeither one - one nor onto

Show answer

EnglishNVS PGT 2022

Q32.The domain of the function () 2 log x 3 f x x 3x 2 + = + + is:

A(−3, ∞)−{−1, −2} BR−{−1,−2} C(−2,∞) DR−{−1,−2,−3}

Show answer

EnglishNVS PGT 2022

Q33.If f: R → → → R be given by f(x) = () 1 3 3 3 x −, then (f o f) (x) is:

A1 3 x Bx3 Cx D(3 – x3/)

Show answer

EnglishNVS PGT 2022

Q34.The number of elements in the power set of the set S = {a, {b, c}, d, {φ}} is:

A4 B5 C8 D16

Show answer

EnglishKVS PGT 2022

Q35.If n(A) = m and n(B) = n, then the total number of non-empty relations that can be defined from A to B are:

Amn/−1 B2mn/−1 Cnm/−1 D2mn

Show answer

EnglishKVS PGT 2022

Q36.If functions f: R → → → R and g: R → → → R are defined as f (x) = 2x2 −5 and g (x) = 2 x x 1 −, then gof is:

A2 4 2 2x 5 4x 20x 24 − + + B() 4 2 2 5x 12x 5 x 1 + + − C2 4 2 2x 5 4x 20x 24 − − + D() 4 2 2 5x 12x 5 x 1 − + − −

Show answer

EnglishKVS PGT 2022

Q37.Relation B in the set of real numbers R is defined as: B={(a, b): a ≤ b2, a e R, b e R}. Then the relation is:

AReflexive and transitive but not symmetric BReflexive but not symmetric and not transitive CSymmetric but not reflexive and not transitive DNot reflexive, not symmetric and not transitive

Show answer

EnglishKVS PGT 2022

Q38.Let A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. It’s Subsets B, C and D are defined as: B ={ x: x is an odd integer } C={ x: x is an even integer } D={ x: x ≤ 5 } Then the set B ∪ ∪ ∪ (D ∪ ∪ ∪ C) is:

A{1, 3, 5} B{2, 4, 6, 8} C{1, 2, 3, 4, 6} D{0, 1, 2, 4, 5, 6}

Show answer

EnglishKVS PGT 2022

Q39.In the power set of set {−1, 0, 1}, the number of sets will be:

A4 B7 C8 D9

Show answer

EnglishKVS PGT 2022

Q40.In a class of 25 students, 12 have taken Mathematics, 8 have taken Mathematics but not Biology. If each student has taken at least one subject, then the number of students who have taken Biology but not Mathematics are:

A12 B13 C4 D17

Show answer