KPPSC Math Lecturer Sample Past Papers 45 Important MCQS download in pdf. Math Lecturer Past Paper of KPK Public Service Commission.
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 called.
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