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, ….

Correct Answer: b

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

a. 2n-1

b. 3n-1

c. N

d. 2n

Correct Answer: c

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

Correct Answer: d

4.Multiplicative inverse of ′𝟎′ is

a. any real number

b. none of these

c. not defined

d. 0

Correct Answer: c

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

a. 33

b. 34

c. 35

d. 31

Correct Answer: a

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

a. equivalent

b. none of these

c. Equal

d. unequal

Correct Answer: c

7.A Singleton set has……………….

a. two elements

b. none of these

c. One Element

d. no element

Correct Answer: c

8.Every recurring non terminating decimal represents

a. W

b. E

c. L

d. Q

Correct Answer: d

9.The product of two conjugate complex numbers is

a. none of these

b. A real number

c. an imaginary number

d. not defined

Correct Answer: b

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}

Correct Answer: b

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

a. column

b. none of these

c. Matrix

d. row

Correct Answer: c

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

Correct Answer: d

13.Inverse of a line is

a. none of these

b. A line

c. a parabola

d. a hyperbola

Correct Answer: b

14.√ 2 is a __________ number.

a. prime

b. none of these

c. irrational

d. rational

Correct Answer: c

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

a. none of these

b. (-a, -b)

c. (a,- b)

d. (- a, b)

Correct Answer: 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

Correct Answer: d

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

a. null matrix

b. none of these

c. non singular

d. singular

Correct Answer: c

18.AU Φ =………………………….

a. none of these

b. A

c. U

d. E

Correct Answer: b

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

Correct Answer: d

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

a. reciprocal function

b. none of these

c. Exponential equation

d. quadratic function

Correct Answer: c

21.Sum of all cube roots of 64 is :

a. 0

b. 1

c. 2

d. 3

Correct Answer: a

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

a. none of these

b. conjugate

c. additive inverse

d. reciprocal function

Correct Answer: b

23.Degree of quadratic equation is:

a. 2

b. 3

c. 4

d. 1

Correct Answer: a

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

Correct Answer: c

25.The inverse of unit matrix is:

a. singular

b. skewness

c. none of these

d. unit

Correct Answer: d

26.The matrix [7] is:

a. row matrix

b. column matric

c. all of these

d. square matrix

Correct Answer: d

27.Basic techniques for solving quadratic equations are

a. 3

b. 2

c. 1

d. 4

Correct Answer: a

28.Sum of cube root of unity

a. 0

b. 1

c. 2

d. 4

Correct Answer: a

29.The product of the cube roots of unity is

a. 1

b. 2

c. 0

d. 3

Correct Answer: a

30.A sequence is also known as:

a. real sequence

b. arrangement

c. none of these

d. progression

Correct Answer: d

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

a. 29

b. 19

c. 12

d. 14

Correct Answer: a

32.Minimum number of equation for any system of equations

a. 2

b. 3

c. 4

d. 5

Correct Answer: a

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

a. 20

b. 19

c. 18

d. 11

Correct Answer: a

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

a. 0

b. 1

c. 2

d. 4

Correct Answer: a

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

a. function

b. series

c. none of these

d. sqeuence

Correct Answer: d

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

a. square

b. circle

c. none of these

d. triangle

Correct Answer: d

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

Correct Answer: b

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

a. none of these

b. acute

c. right

d. alternate

Correct Answer: b

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

a. minute

b. quadrant

c. degree

d. radian

Correct Answer: c

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

c. quadrant

d. radian

Correct Answer: d

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

a. partial sum

b. finite sum

c. none of these

d. series

Correct Answer: d

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

Correct Answer: d

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

Correct Answer: d

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

Correct Answer: b

45.1 quadrant = ……….

a. 360 o

b. 90 o

c. 45 o

d. 180 o

Correct Answer: b

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

a. H.P

b. none of these

c. G.P

d. A.P

Correct Answer: c

47.Two rays with a common starting point form:

a. minute

b. angle

c. triangle

d. radian

Correct Answer: b

48.A set has …………… objects.

a. identical

b. not well defined

c. none of these

d. well defined and distinct

Correct Answer: d

49.If A = { } then P (A) = ……………………

a. {1}

b. {2}

c. empty set

d. {0}

Correct Answer: c

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

a. partial sum

b. finite sum

c. none of these

d. series

Correct Answer: d