TRB Exam Papers (Department Maths)

Can you provide me the TRB exam question papers (Department
Maths)

The TRB exam question papers (Department Maths) is as follows:

1. The equation x y plane is
A. x = a
B. z = 0
C. y = 0
D. x = 0

2. The angle between the asymptotes of rectangualr hyberpola is
A. 45°
B. 120°
C. 60°
D. 90°

. In a polynomial equation with real co–efficient imaginary roots occur in
A. conjugate pairs
B. pairs
C. real pairs
D. imaginary pairs

4. A bilinear transformations transform a circle into a
A. sphere
B. straight line
C. inverse points
D. circle

5. The locus of a point which moves in a plane so that its distance from a fixed point bears a constant ratio greater than one, to its distance, from a fixed straight line is
A. sphere
B. hyberbola
C. parabola
D. ellipse


6. The path of a projectile is a
A. ellipse
B. hyberbola
C. parabola
D. circle

7. A set which is either finite or enumerable is called a ------- set.
A. countable
B. discountable
C. both a and b
D. none of these

8. If A and B are unitary matrices the AB is
A. diagonal
B. unitary
C. orthogonal
D. hermitian

9. The maximum value of 3 sin x + 4 cos x is
A. 2
B. 3
C. 4
D. 5

10. The order of the smallest non abelian group is
A. 3
B. 4
C. 5
D. 6


11. The units of work in the F.P.S. system is
A. foot
B. pound
C. foot–poundal
D. joule

12. The least upper bound of the set{1, 2, ........... 20}
A. 1
B. 0
C. 20
D. 21

13. The locus of centre of curvature of a given curve is called an
A. evolute
B. envelope
C. involute
D. asymptote

14. The length of latus rectum of the parabola is
A. a
B. a/2
C. 2a
D. 4a

15. If A and B are symmetric matrices then a + B is
A. unit matrix
B. diagonal matrix
C. skew matrix
D. symmetric


16. Which one of the following is prime number?
A. 22
B. 81
C. 72
D. 73

17. The number of divisor of 360 is
A. 24
B. 25
C. 26
D. 28

18. If A and B are skew symmetric matrices then A + B is
A. unit matrix
B. diagonal matrix
C. skew symmetric
D. symmetric

19. The set of all rational number is
A. countable
B. monotonic
C. uncountable
D. none of these

20. Arbitary intersection of closed sets is
A. monotonic
B. open
C. closed
D. none of these

21. Which one of the following is not a prime number?
A. 3
B. 9
C. 11
D. 17

22. The conic is called a parabola if
A. e = 1
B. e > 1
C. e < 1
D. none of these

23. Binomail Expansion of (1 - x)-2 is
A. 1 - 2x + 3x2 - 4x3 + ....
B. 1 + 2x + 3x2 + 4x3 + ....
C. 1 + x + x2 + ....
D. 1 - x + x2 - x3 + ....

24. Which one of the following is a composite number?
A. 2
B. 5
C. 7
D. 12

25. The equation of directrix of the parabola y2 = 4ax is
A. x = a
B. y = 0
C. x = -a
D. x = 0

26. The characteristic of field of real numbers is
A. 0
B. 1
C. 2
D. -2

27. The charactreistic of an integral domain either 0 or
A. 1
B. real
C. prime
D. integer

Answer
28. Zero is a characteristic root of matrix if and only if the matrix is
A. singular
B. non singular
C. hermitian
D. skew hermitian

29. The characteristic roots of a real symmetric matrix are
A. real
B. unit
C. all zero
D. purely imaginary

30. How many generators are there in the cyclic group of order 10
A. 1
B. 2
C. 3
D. 4

31. Number of divisors of 729 is
A. 7
B. 12
C. 22
D. 30

32. If n is any integer then ( cosΘ + i sin Θ )n is
A. cos nΘ – i sin nΘ
B. cos nΘ + i sin nΘ
C. sin nΘ – i cos nΘ
D. sin nΘ + i cos nΘ

33. The area bounded by the curve x = log y, then x axis and the y axis is
A. 1
B. 2
C. 3
D. ∞

34. The area between the curve y2 = 9x and the straight line y = x is
A. 13.5 square units
B. 14.5 square units
C. 10.5 square units
D. 15.5 square units

35. The angle between the asympotes of the hyberbola 24x2 - 8y2 = 27 is
A. 30°
B. 45°
C. 60°
D. 90°

36. In a binomial distribution, if the mean is 8 and variance 6, then the number of trials is
A. 2
B. 14
C. 32
D. 48

37. If mean of a Poisson distribution is 16 then its standard deviation is
A. 4
B. -4
C. 16
D. 2√2

38. Distance between two complex numbers (2 + 2i) and (3 + i) is
A. 1
B. 2
C. √2
D. 4√2

39. The other name for one–one function is
A. injection
B. bijection
C. surjection
D. none of these

40. In a group of 1000 people, there are 750 who can speak Hindi and 400 can speak English. How many can spoke Hindi only?
A. 150
B. 300
C. 450
D. 600

41. If A = {1, 2, 3, 4} and R = {(1, 3), (3, 4), (1, 4)} then R is
A. symmetric
B. reflexive
C. transitive
D. none of these

42. Father of Game theory is
A. Von Newman
B. Monto Carlo
C. Molins
D. Erlang

43. 4x3 + 6x2 + 3x + 7 is a polynomial of degree
A. 1
B. 2
C. 3
D. 4

44. The set of vector under vector product is not a group owning to the failure of
A. inverse law
B. identity law
C. associative
D. All of the above

45. Cube root of 1003 is
A. 10
B. 10.3
C. 10.00999
D. none of these

46. Radius of curvature of the curve y = ex at the point where it crosses y–axis is
A. e
B. √2
C. 2√2
D. none of these

47. In a Poisson distribution if P(x =2 ) = P(x = 3) then its parameter is
A. 2
B. 3
C. 4
D. 6

48. Mean, median, mode of this distribution coincide the distribution
A. poisson
B. binomial
C. normal
D. none of these

49. A section of a solid sphere by a plane is a
A. circle
B. parabola
C. ellipse
D. hyberpola

50. The mean of a binomial distribution is 5 and mean standard deviation is 2 then n =
A. 5
B. 10
C. 15
D. 25

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Answered By StudyChaCha Member

Hello sir would you please give me Maths Department papers of Teachers Recruitment Board exam? Its very urgent for me..

As you want Maths Department papers of Teachers Recruitment Board exam so here I am giving you the same……

The angle between the planes 2x 5 y + z_= 6 and x} y + 22 = 7 is
N 60° B) 90°
C) 30° D) 0°

The equation of the sphere which has the line joining the
(8. - 5, I ] as diameter is pointsir 2, 7, 5 ) an

HA and B are two subspaces of a vector space Vover a field F, then
A] A U B is a subspace of V - A x B is a subspace of V
C)‘ A n B is a subspace of V
D) ' AB is a subspace of V

The mean of a binomial distribution is 5 and mean standard deviation is 2 then n =
A. 5
B. 10
C. 15
D. 25

The incorrect statement from the following is
A) N is countable set E], ‘ Q is countable set
C] Q" is countable set D) Z is countable set


TRB Exam Papers Department Maths







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Answered By StudyChaCha Member