# Algebra & Trigonometry

1.Which of the following is an A. P?

a. 1, 4, 9, …………

b. 2, 4, 6, ……..

c. 1, 1/2, 1/3, ……….

d. 1, 5, 11, 18, ….

2.The general term of the sequenced 2, 4, 6, 8, ….. is

a. 2n-1

b. 3n-1

c. N

d. 2n

3.Decimal which has a finite numbers of digits in its decimal part is called______ decimal.

a. terminaing

b. recuring

c. non recuring

d. terminating

4.Multiplicative inverse of ′𝟎′ is

a. any real number

b. none of these

c. not defined

d. 0

5.The 8th term of the Arithmetic sequenced 5, 9, 13, ……… is

a. 33

b. 34

c. 35

d. 31

6.The set {1, 2, 3} and {2, 1, 3} are ……………….

a. equivalent

b. none of these

c. Equal

d. unequal

7.A Singleton set has……………….

a. two elements

b. none of these

c. One Element

d. no element

8.Every recurring non terminating decimal represents

a. W

b. E

c. L

d. Q

9.The product of two conjugate complex numbers is

a. none of these

b. A real number

c. an imaginary number

d. not defined

10.The set of odd numbers between 1 and 9 are

a. none of these

b. {3,5,7}

c. {1,3,5,7}

d. {1,3,5,7,9}

11.A rectangular array of numbers enclosed by a square brackets is called:

a. column

b. none of these

c. Matrix

d. row

12.If a matrix of order 𝒎 × 𝒏 then the matrix of order 𝒏 × 𝒎 is :

a. Inverse of A

b. column

c. none of these

d. Transpose of A

13.Inverse of a line is

a. none of these

b. A line

c. a parabola

d. a hyperbola

14.√ 2 is a __________ number.

a. prime

b. none of these

c. irrational

d. rational

15.Additive inverse of (a, b) is …………..

a. none of these

b. (-a, -b)

c. (a,- b)

d. (- a, b)

16.If a matrix A has only one row then it is called:

a. column vector

b. arial vector

c. none of these

d. Row vector

17.The multiplicative inverse of a matrix exists only if it is:

a. null matrix

b. none of these

c. non singular

d. singular

18.AU Φ =………………………….

a. none of these

b. A

c. U

d. E

19.If a matrix A has same number of rows and columns then A is called:

a. rectangular matric

b. tabular marix

c. none of these

d. square matrix

20.The equation in which variable occurs in exponent , called:

a. reciprocal function

b. none of these

c. Exponential equation

21.Sum of all cube roots of 64 is :

a. 0

b. 1

c. 2

d. 3

22.The complex cube roots of unity are………………. each other.

a. none of these

b. conjugate

d. reciprocal function

a. 2

b. 3

c. 4

d. 1

24.The sum of the roots of the quadratic equation, is

a. minus b over b

b. none of these

c. minus b over a

d. minus a over b

25.The inverse of unit matrix is:

a. singular

b. skewness

c. none of these

d. unit

26.The matrix  is:

a. row matrix

b. column matric

c. all of these

d. square matrix

27.Basic techniques for solving quadratic equations are

a. 3

b. 2

c. 1

d. 4

28.Sum of cube root of unity

a. 0

b. 1

c. 2

d. 4

29.The product of the cube roots of unity is

a. 1

b. 2

c. 0

d. 3

30.A sequence is also known as:

a. real sequence

b. arrangement

c. none of these

d. progression

31.nth term of an A.P is 𝟑𝒏 − 𝟏 then 10th term is :

a. 29

b. 19

c. 12

d. 14

32.Minimum number of equation for any system of equations

a. 2

b. 3

c. 4

d. 5

33.Which term of the sequenced 3, 9, 15, …….. is 117

a. 20

b. 19

c. 18

d. 11

34.A geometric series cannot contain ____ as a term.

a. 0

b. 1

c. 2

d. 4

35.The arrangement of number formed according to some definite rule is called _____

a. function

b. series

c. none of these

d. sqeuence

36.Trigonometry is the branch of math’s in which we study……..

a. square

b. circle

c. none of these

d. triangle

37.An angle is the square is the union of two……….rays having a common vertex.

a. perpendicular

b. coolinear

c. non collinear

d. opposite

38.An angle less than 90o is called…..angle

a. none of these

b. acute

c. right

d. alternate

39.If a circle is divided into 360 equal parts then cache part is called —–

a. minute

c. degree

40.The angle of an arc of a circle where arc length is equal to the radius of the circle is called…

a. degree

b. minute

41.The sum of terms of a sequence is called:

a. partial sum

b. finite sum

c. none of these

d. series

42.If the rotation of the angle is counter clock wise, then angle is:

a. negative

b. non negative

c. none of these

d. positive

43.Relation between the lengths of a circular arc ‘ℓ’ & the radian measure of its central angle ‘θ’ is

a. l = r / θ

b. θ = l r

c. none of these

d. r = l / θ

44.In which quadrant does the terminal side lie of Sin θ < 0?

a. none of these

b. 3rd Q

c. 2nd Q

d. 1st Q

a. 360 o

b. 90 o

c. 45 o

d. 180 o

46.The sequence -1, 1, -1, 1…..is _______

a. H.P

b. none of these

c. G.P

d. A.P

47.Two rays with a common starting point form:

a. minute

b. angle

c. triangle

48.A set has …………… objects.

a. identical

b. not well defined

c. none of these

d. well defined and distinct

49.If A = { } then P (A) = ……………………

a. {1}

b. {2}

c. empty set

d. {0}