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MCQS
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Mathematics MCQs Set-1
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1. A simple closed curve made up of only line segments is called a ________
polygon
square
rectangle
triangle
2. The maximum number of sides that a polygon can have is ________
three
four
five
infinite
3. Any triangle is a ______ sided polygon.
1
2
3
4
4. What are exterior angles of any polygon?
All angles within the polygon
The angles with measure as 90°
The angles forming a pair of supplementary angles
The angles forming a pair of complementary angles
5. The sum total of all the external angles is always ________
(n-2)180°
180°
(n-2)360°
360°
6. If perimeter of a rectangle is 24 m, then what would be the measure of each of the external angle of that rectangle?
90°
180°
360°
45°
7. In any equilateral triangle, find the sum of all the external angles.
180°
120°
60°
360°
8. If a ray stands on a line, then the sum of two adjacent angle is 180°.
True
False
9. A line with two endpoints is called __________
line
ray
line-segment
triangle
10. How many endpoints does a ray have?
One
Two
Three
Four
11. If x is an acute angle, then what is true for x?
x = 90°
0° < x < 90°
90° < x < 180°
180° < x < 360°
12. If x is an obtuse angle, then what is true for x?
x = 90°
180° < x < 360°
0° < x < 90°
90° < x < 180°
13. If x is a right angle, what is true for x?
x = 90°
180° < x < 360°
0° < x < 90°
90° < x < 180°
14. What is the angle formed by a line?
90°
180°
270°
360°
15. If 180° < x < 360°, then x is a __________ angle.
acute
obtuse
reflex
right
16. The sum of complimentary angles is __________
&gt; 90°
&lt; 90°
= 90°
= 180°
17. The sum of two supplementary angles is __________
&gt; 90°
&lt; 90°
= 90°
= 180°
18. The distance between the points (5, 7) and (8, -5) is ________
√153
√154
√13
√53
19. The distance of the point (9, -12) from origin will be ___________
13
15
14
17
20. What will be the value of x, if the distance between the points (5, 11) and (2, x) is 10?
-11 + √91, -11 – √91
11 + √91, 11 – √91
11 + √91, 11 + √91
-11 + √91, 11 – √91
21. What will be the point of x-axis which will be equidistant from the points (9, 8) and (3, 2)?
(10, 0)
(13, 0)
(11, 0)
(12, 0)
22. If the point P(a, b) is equidistant from the points (3, 1) and (2, 0) then ____________
a + b = -3
a – b = -3
a + b = 3
a – b = 3
23. The point on y-axis which is at a distance 5 unit from the point (-5, 7) is ___________
(7, 0)
(0, 7)
(1, 7)
(7, 7)
24. If A(0, 3), B(5, 0) and C(-5, 0) are the vertices of ∆ABC, then the triangle is __________
Right-angled
Isosceles
Scalene
Equilateral
25. The area of the triangle if A (-1, -1), B(-1, 3) and C (2, -1) are the vertices of the triangle is ____________
8 units
4 units
6 units
5 units
26. Find midpoint of (1, 4, 6) and (5, 8, 10).
(6, 12, 8)
(3, 6, 8)
(1, 9, 12)
(4, 9, 12)
27. The coordinates of a point dividing the line segment joining (1, 2, 3) and (4, 5, 6) internally in the ratio 2:1 is ____________________
(3, 4, 5)
(5, 4, 3)
(5, 3, 4)
(4, 5, 3)
28. In which ratio (3, 4, 5) divides the line segment joining (1, 2, 3) and (4, 5, 6) internally?
1:2
2:1
3:4
4:3
29. The coordinates of a point dividing the line segment joining (1, 2, 3) and (4, 5, 6) externally in the ratio 2:1 is ____________________
(4, 5, 6)
(6, 8, 9)
(7, 8, 9)
(8, 6, 4)
30. If coordinates of vertices of a triangle are (7, 6, 4), (5, 4, 6), (9, 5, 8), find the coordinates of centroid of the triangle.
(7, 5, 3)
(7, 3, 5)
(5, 3, 7)
(3, 5, 7)
31. The ratio in which line joining (1, 2, 3) and (4, 5, 6) divide X-Y plane is ________
2
-2
1/2
-1/2
32. Find the points which trisects the line joining (4, 9, 8) and (13, 27, -4).
(7, 4, 15)
(7, 15, 4)
(4, 15, 7)
(4, 7, 15)
33. A triangle and a parallelogram has same base and same area as shown in the diagram below. Dimensions of triangle are 28cm, 26cm and 30cm with 28cm being the base. What is the height of the parallelogram?
15cm
10cm
12cm
18cm
34. Integration of function is same as the ___________
Joining many small entities to create a large entity
Indefinitely small difference of a function
Multiplication of two function with very small change in value
Point where function neither have maximum value nor minimum value
35. If differentiation of any function is zero at any point and constant at other points then it means?
Function is parallel to x-axis at that point
Function is parallel to y-axis at that point
Function is constant
Function is discontinuous at that point
36. f differentiation of any function is infinite at any point and constant at other points then it means ___________
Function is parallel to x-axis at that point
Function is parallel to y-axis at that point
Function is constant
Function is discontinuous at that point
37. Distance travelled by any object is _____________
Double integral of its acceleration
Double integral of its velocity
Double integral of its Force
Double integral of its Momentum
38. Find the distance travelled by a car moving with acceleration given by a(t)=Sin(t), if it moves from t = 0 sec to t = π/2 sec, if velocity of a car at t=0sec is 10 km/hr.
10.19 km
19.13 km
15.13 km
13.13 km
39. If the Hessian matrix of a function is zero then the critical point is?
It cannot be concluded
Always at Origin
Depends on Function
(100,100)
40. The maximum value of the function is? f(x, y) = sin(x).cos(2y).cos(x + 2y) + sin(2y).cos(x + 2y).cos(x) in the region x=0; y=0; x+2y = 3
90
cos(1)
sin(1).cos(1)
sin(3).cos(3)
41. What is the saddle point?
Point where function has maximum value
Point where function has minimum value
Point where function has zero value
Point where function neither have maximum value nor minimum value
42. Divide 120 into three parts so that the sum of their products taken two at a time is maximum. If x, y, z are two parts, find value of x, y and z.
x=40, y=40, z=40
x=38, y=50, z=32
x=50, y=40, z=30
x=80, y=30, z=50
43. The drawback of Lagrange’s Method of Maxima and minima is?
Maxima or Minima is not fixed
Nature of stationary point is can not be known
Accuracy is not good
Nature of stationary point is known but can not give maxima or minima
44. At what rate will the lateral surface area of the cylinder increase if the radius is increasing at the rate of 2 cm/s when the radius is 5 cm and height is 10 cm?
40 cm/s
40π cm/s
400π cm/s
20π cm/s
45. The length of the rectangle is changing at a rate of 4 cm/s and the area is changing at the rate of 8 cm/s. What will be the rate of change of width if the length is 4cm and the width is 1 cm.
5 cm/s
6 cm/s
2 cm/s
1 cm/s
46. What is the formula for the circumference of a circle?
C = 2πd
C = 2πr
C = 2πa
C = 2πs
47. Find the area of the circle if the radius is 3.14 cm.
30.98 cm
30.48 cm
30.68 cm
30.58 cm
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