## PPSC Lecturer Math Exam Questions Answers MCQS

PPSC Lecturer Math Exam Questions Answers MCQS Past Papers
1.To find asymptote parallel to y axis put coefficient of highest power of.
A. X is equal to zero
B. Y is equal to zero
C. Xy is equal to zero
D. None of these

2.To remove xy term by rotation, we find Cot(2a) = —-.
A. (A-C)/2B
B. (A+C)/2BS
C. (A-C)/2A
D. None of these

3.In translation of axex direction remains same while the origin is changed.
A. True
B. False

4.In rotation of axex, direction is changed while origin remains same.
A. True
B. False

5.The singular points have —- main types.
A. Two
B. Three
C. Four
D. Five

6.Every node is a cusp.
A. True
B. False

7.Every cusp is a singular point.
A. True
B. False

8.Two diameters are said to be conjugate when each bisects chords ____ to each other.
A. Differ
B. Parallel
C. Perpendicular
D. None

9.In conic the semi-latus rectum is the ____ between the segments of a focal chord.
A. Geometric mean
B. Arithmetic mean
C. Harmonic mean
D. Both A and C

10.If f”(x)>0, at some point the curve is.
A. Concave upward
B. Concave downward
C. Convex downward
D. Both A and B

11.B2-AC > 0, the locus is.
A. Hyperbola
B. Two increasing line
C. Ellipse
D. Both A and B

12.If the point x is distinct from x then it is called.
B. Deleted nbhd
C. Both A and B
D. None

13.If {Sn} converges to l, l is called.
A. Limit of sequence
B. Convergent sequence
C. Divergent sequence
D. None

14.A convergent sequence is called a null sequence, if it converges to.
A. 1
B. 0
C. -1
D. Infinity

15.If a sequence is convergent then it is.
A. Bounded
B. Unbounded
C. Convergent
D. None

16.The point where coordinate axis intersects a surface is called an.
A. Intersection
B. Intercept
C. Curve
D. None

17.If B2-AC<0 then locus is.
A. Parabola
B. Hyperbola
C. Ellipse
D. Circle

18.A car park is 60ft by 140ft.If each of the measurements is uncertain by 3 in, the maximum area is.
A. 241/4 sq.ft
B. 441/8 sq.ft
C. 237/4 sq.ft
D. 513/8 sq.ft

19.If a curve is rotated about a straight line, a surface is generated is called.
A. Axis of rotation
B. Surface of revolution
C. Both A and B
D. None

20.A bounded monotonic increasing sequence converges to its.
A. Least upper bound
B. Greatest lower bound
C. Both A and B
D. None

21.Volume of tetrahedron has its vertices at the points A(1,-1,2), B(2,0,1), C(0,-2,1), D(-2,2,1) are.
A. 2
B. 3*sqrt(2)
C. 4
D. 6

22.A function is said to be strictly increasing on a set SCR, if.
A. f(x1) < f(x2)
B. f(x1) > f(x2)
C. f(x1) less than and equal to f(x2)
D. f(x1) greater than and equal to f(x2)

## BS Math Entry Test Solved MCQS Past Papers pdf

BS Physics Entry Test Solved MCQS Past Papers pdf download online practice test

1.X+y≤3 equivalent to.
A. X+y+s =3
B. X+y-s=3
C. X+y-3=0
D. None of these

2.3x+y ≥-5 equivalent to.
A. 3x+y+s=-5
B. -3x-y+s=5
C. Aor B
D. None of these

3.Minimization of function -f(u,v,w,x,y) is equivalent to maximization of.
A. f(x)
B. f(u,v,w,x,y)
C. -f(u,v,w,x,y)
D. None of these

4.F=4x+2y+3z is called.
A. Linear function
B. Graph function
C. Square function
D. None

5.A point where objective function takes maximum or minimum value is called.
A. Point
B. Optimum solution
C. Curve
D. None

6.Vectors are a special case of.
A. Vector
C. Matrices
D. None

7.If A+B has order 2by 2 then total entries of A are.
A. 5
B. 4
C. 8
D. None

8.5B=2B+—
A. 2B
B. 3B
C. 4B
D. None

9.AI=IA=A then I is called —- matrix.
A. Strong
B. Weaker
C. Unit
D. None

10.The matrix 5I is called.
A. Unit matrix
B. Identity matrix
C. Scalar matrix
D. None

11.If order of x is n x n Then x^o=_______.
A. O matrix
B. I
C. X
D. Non

12.If order of 〖(4A)〗^t is 5×5 Then order of A is.
A. 25
B. 8
C. 5
D. Non

13.If order of x is n x n Then order of x^o is.
A. O matrix
B. N
C. 0
D. Non

14.If matrix A is of order 3×4 and matrix B is of 4×3 then A+B is.
A. O matrix
B. Matrix A
C. Matrix B
D. Non

15.If 5(AB)=.
A. A^5 B
B. (5A)(5B)
C. (5A)B
D. Non

16.A constant of integration is involved in the definite integrals.
A. True
B. False

17.The Taylor series is derived from the Maclurine series.
A. True
B. False

18.Maclurine series is a special case of Taylor series.
A. True
B. False

19.The graph of Exp(x) is —-.
A. Strictly increasing
C. Strictly decreasing

20.The tangent and normal lines at a point are perpendicular to each other.
A. True
B. False

21.Using general notation the length of major axis of an ellipse is.
A. L = 2a
B. L= 3a
C. L = 4a
D. None of these

22.X= [email protected], y = [email protected] are parametric equations of —–.
A. Circle
B. Ellipse
C. Hyperbola
D. Parabola
23.X= [email protected], y = [email protected] are parametric equations of —–.
A. Circle
B. Ellipse
C. Hyperbola
D. Parabola

## KPPSC Math Lecturer Sample Past Papers 45 Important MCQS

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

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

3.Z={1,2,3,4,…}, the set is.
A. Bounded above
B. Bounded below
C. Not bounded above
D. Both A and 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

5.The function f(x)=x3-3x+7 has a critical point at.
A. 2
B. 3
C. 2/3
D. 3/2

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]

7.Improper integral is also called.
A. Generalized
B. Infinite
C. Finite
D. Both A and B

8.Beta function is also known as.
A. Beta integral
B. Eulerian integral
C. Both A and B
D. None of these

9.Maxima and Minima occur.
A. Simultaneously
B. Once
C. Alternately
D. Rarely

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

11.De L’ Hospital was the famous mathematician of.
A. French
B. German
c. American
D. None

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]

13.Euler was mathematician of.
A. France
B. German
C. Scotland
D. Swiss

14.The slop intercept form is also called.
A. Normal form
B. Parametric form
C. Straight line

15.The segment of the y-axis intercepted within the ellipse as the.
A. Major axis
B. Minor axis
C. Discriminant
D. None

16.Every bounded sequence is convergent.
A. True
B. False

17.Every open interval is bounded.
A. True
B. False

18.Every closed interval is finite.
A. True
B. False

19.Square root of 8 is a rational number.
A. True
B. False

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

21.The sum of two irrational numbers is an irrational number.
A. True
B. False

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

23.The constant function is always continuous.
A. True
B. False

24.The constant function is always bounded.
A. True
B. False

25.Every differeniable function is always continuous.
A. True
B. False

26.Every continuous function is always differentiable.
A. True
B. False

27.The absolute function is differentiable at x = 0.
A. True
B. False

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

29.The graph of absolute of x is.
A. V shaped
B. U shaped
C. Zigzag shaped
D. None of these

30.The Maclurine series is taken about.
A. X = – 1
B. X = 0
C. X =1
D. None of these

31.Mathematical modeling technique designed to optimize the usage of resources is called.
A. Function
B. Composition
C. Linear
D. Linear programing

32.IN LP (Linear programing ) we aim to optimize.
A. Variable
B. Objective
C. Condition
D. None of these

33.IN LP we need to satisfy.
A. Objective
B. Constraints
C. Variables
D. None of these

34.In LP we seek to determine.
A. Variables
B. Constraints
C. Conditions
D. None of these

35.Any solution that satisfies all the constraints of model is called.
A. Solvent
B. Insolvent
C. Feasible
D. None of these

36.A typical LP model may includes.
A. Many variables
B. Many constraints
C. A and B
D. None of these

37.The solution side of 6x+4y≤24 includes.
A. (6,1)
B. (1,6)
C. (8,1)
D. ( 0,2)

38.Point (4,5) satisfy.
A. X+y<9
B. X+y>9
C. X+y=9
D. None of these

A. First
B. Second
C. Fourth
D. Band C

40.Equation of horizontal line is.
A. X+y=0
B. Y=4
C. X=4
D. None of these

41.Optimum solution is always associated with.
A. Line
B. Graph
C. Corner point
D. None of these

42.Identifying the extreme points of graph algebraically is called.
A. Simplex method
B. Graphical
C. Linear
D. None of these

43.For simplex method we convert the inequality constraints into.
A. Slack variables
B. Surplus
C. Equations
D. None of these

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