KPPSC Math Lecturer Sample Past Papers 45 Important MCQS download in pdf

1.Every non-empty set of real numbers which has an lower bond has the.

A. Infimum

B. Supremum

C. Both A & B

D. None of these

ANSWER: A

2.If f is monotonic increasing on [a, b] and is bounded on [a, b] then f is _____ on [a, b].

A. Integrable

B. Increasing function

C. Continuous

D. Decreasing function

ANSWER: A

3.Z={1,2,3,4,…}, the set is.

A. Bounded above

B. Bounded below

C. Not bounded above

D. Both A and B

ANSWER: B

4.A function which is one-one and onto at a time is called.

A. Bijective function

B. Increasing function

C. Decreasing function

D. None of these

ANSWER: A

5.The function f(x)=x3-3x+7 has a critical point at.

A. 2

B. 3

C. 2/3

D. 3/2

ANSWER: D

6.The function f(x)=2×2-8x+4 is increasing on the interval.

A. (-infinity,0]

B. [0,infinity)

C. [2,infinity)

D. [0,2]

ANSWER: C

7.Improper integral is also called.

A. Generalized

B. Infinite

C. Finite

D. Both A and B

ANSWER: D

8.Beta function is also known as.

A. Beta integral

B. Eulerian integral

C. Both A and B

D. None of these

ANSWER: C

9.Maxima and Minima occur.

A. Simultaneously

B. Once

C. Alternately

D. Rarely

ANSWER: C

10.A function defined from R->R is called.

A. Definite function

B. Real valued function

C. Both A and B

D. None of these

ANSWER: B

11.De L’ Hospital was the famous mathematician of.

A. French

B. German

c. American

D. None

ANSWER: A

12.If f’ is Integrable on [a, b] with b>a, then.

A. Integrate[f’=f(a)-f(b),lim a->b]

B. Integrate[f’=f(b)-f(a),lim a->b]

C. Integrate[f’=f’(a)-f’(b),lim a->b]

D. Integrate[f’=f’(b)-f’(a),lim a->b]

ANSWER: B

13.Euler was mathematician of.

A. France

B. German

C. Scotland

D. Swiss

ANSWER: D

14.The slop intercept form is also called.

A. Normal form

B. Parametric form

C. Straight line

D. Gradient form

ANSWER: D

15.The segment of the y-axis intercepted within the ellipse as the.

A. Major axis

B. Minor axis

C. Discriminant

D. None

ANSWER: B

16.Every bounded sequence is convergent.

A. True

B. False

ANSWER: A

17.Every open interval is bounded.

A. True

B. False

ANSWER: A

18.Every closed interval is finite.

A. True

B. False

ANSWER: B

19.Square root of 8 is a rational number.

A. True

B. False

ANSWER: B

20.The set S = {x : x is a real number and x < 5 }.

A. The set A is bounded above

B. The set A is bounded below

C. The set A is bounded

D. None of these

ANSWER: A

21.The sum of two irrational numbers is an irrational number.

A. True

B. False

ANSWER: A

22.If left hand limit and right hand limits of a functions are equaland finite at x = a, then — .

A. Function is bounded at x = a

B. Function is continuous at x = a

C. Limit of function exists at x = a

D. None of these

ANSWER: C

23.The constant function is always continuous.

A. True

B. False

ANSWER: A

24.The constant function is always bounded.

A. True

B. False

ANSWER: A

25.Every differeniable function is always continuous.

A. True

B. False

ANSWER: A

26.Every continuous function is always differentiable.

A. True

B. False

ANSWER: B

27.The absolute function is differentiable at x = 0.

A. True

B. False

ANSWER: B

28.The graph of a linear function is.

A. Straight line parallel to x axis

B. Straight line parallel to y axis

C. Straight line

D. None of these

ANSWER: C

29.The graph of absolute of x is.

A. V shaped

B. U shaped

C. Zigzag shaped

D. None of these

ANSWER: A

30.The Maclurine series is taken about.

A. X = – 1

B. X = 0

C. X =1

D. None of these

ANSWER: B

31.Mathematical modeling technique designed to optimize the usage of resources is called.

A. Function

B. Composition

C. Linear

D. Linear programing

ANSWER: D

32.IN LP (Linear programing ) we aim to optimize.

A. Variable

B. Objective

C. Condition

D. None of these

ANSWER: B

33.IN LP we need to satisfy.

A. Objective

B. Constraints

C. Variables

D. None of these

ANSWER: B

34.In LP we seek to determine.

A. Variables

B. Constraints

C. Conditions

D. None of these

ANSWER: A

35.Any solution that satisfies all the constraints of model is called.

A. Solvent

B. Insolvent

C. Feasible

D. None of these

ANSWER: D

36.A typical LP model may includes.

A. Many variables

B. Many constraints

C. A and B

D. None of these

ANSWER: C

37.The solution side of 6x+4y≤24 includes.

A. (6,1)

B. (1,6)

C. (8,1)

D. ( 0,2)

ANSWER: D

38.Point (4,5) satisfy.

A. X+y<9

B. X+y>9

C. X+y=9

D. None of these

ANSWER: C

39.X+y=0 is passes through ———–quadrants.

A. First

B. Second

C. Fourth

D. Band C

ANSWER: D

40.Equation of horizontal line is.

A. X+y=0

B. Y=4

C. X=4

D. None of these

ANSWER: B

41.Optimum solution is always associated with.

A. Line

B. Graph

C. Corner point

D. None of these

ANSWER: C

42.Identifying the extreme points of graph algebraically is called.

A. Simplex method

B. Graphical

C. Linear

D. None of these

ANSWER: A

43.For simplex method we convert the inequality constraints into.

A. Slack variables

B. Surplus

C. Equations

D. None of these

ANSWER: C

44.In the standard LP form all the constraints are equations wit —– right hand side.

A. Positive

B. Negative

C. Nonnegative

D. None of these

ANSWER: C

45.In the standard LP form all variables are.

A. Nonnegative

B. Square

C. Cubic

D. None of these

ANSWER: A