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BISHOP SCOTT BOYS’ SCHOOL, PATNA
(Affiliated to CBSE New Delhi) School Campus Jaganpura, Chainpur, Patna804453
F.M: 20 
Session 202021 
CLASS: XII 
Duration: 30 min 
Total No of Questions 20 
SUBJECT:MATHS 
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 Review

Question 1 of 20
1. Question
1 pointsLet T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a is congruent to b ∀ a, b ∈ T. Then R is

Question 2 of 20
2. Question
1 pointsConsider the nonempty set consisting of children in a family and a relation R defined as aRb if a is brother of b. Then R is

Question 3 of 20
3. Question
1 pointsThe maximum number of equivalence relations on the set A = {1, 2, 3} are

Question 4 of 20
4. Question
1 pointsIf a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

Question 5 of 20
5. Question
1 pointsLet us define a relation R in R as aRb if a ≥ b. Then R is

Question 6 of 20
6. Question
1 pointsLet A = {1, 2, 3} and consider the relation
R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}.
Then R is 
Question 7 of 20
7. Question
1 pointsLet f: R to R is given by f(x)=tan x .Then ,f inverse of (1) is

Question 8 of 20
8. Question
1 points8 If the set A contains 5 elements and the set B contains 6 elements, then the number of oneone and onto mappings from A to B is

Question 9 of 20
9. Question
1 pointsLet A = {1, 2, 3, …n} and B = {a, b}. Then the number of surjections from A into B is

Question 10 of 20
10. Question
1 pointsLet R be a relation on the set L of lines defined by l R l if l is perpendicular to l , then relation
R is 
Question 11 of 20
11. Question
1 pointsThe relation R in N ×N such that (a,b) R (these ,a+d =b+c is

Question 12 of 20
12. Question
1 pointsGiven set A ={1, 2, 3} and a relation R = {(1, 2), (2, 1)}, the relation R will be

Question 13 of 20
13. Question
1 pointsGiven set A = {a, b, c). An identity relation in set A is

Question 14 of 20
14. Question
1 pointsA relation S in the set of real numbers is defined as xSy ⇒ x – y+ √3 is an irrational number,
then relation S is 
Question 15 of 20
15. Question
1 pointsSet A has 3 elements and the set B has 4 elements. Then the number of injective functions
that can be defined from set A to set B is 
Question 16 of 20
16. Question
1 pointsGiven a function lf as f(x) = 3x5, x ∈R, if g(x) is inverse of it then

Question 17 of 20
17. Question
1 pointsLet A = {a, b }. Then number of oneone functions from A to A possible are

Question 18 of 20
18. Question
1 pointsIf the function be such that f (x) = x[x], where [x] denotes the greatest integer less than or equal to x, then f^{1}(x) is

Question 19 of 20
19. Question
1 points 
Question 20 of 20
20. Question
1 pointsLet g(x) =1+x[x] and where [x] denotes the greatest integer less than or equal to x. then for all x, f (g(x)) is equal to