R4RIN – MCQs, Mock Tests | Mathematics Mathematics MCQs Set-1

A simple closed curve made up of only line segments is called a ________

1. polygon
2. square
3. rectangle
4. triangle

✅ Correct Answer: 1

The maximum number of sides that a polygon can have is ________

1. three
2. four
3. five
4. infinite

✅ Correct Answer: 4

Any triangle is a ______ sided polygon.

1. 1
2. 2
3. 3
4. 4

✅ Correct Answer: 3

What are exterior angles of any polygon?

1. All angles within the polygon
2. The angles with measure as 90°
3. The angles forming a pair of supplementary angles
4. The angles forming a pair of complementary angles

✅ Correct Answer: 3

The sum total of all the external angles is always ________

1. (n-2)180°
2. 180°
3. (n-2)360°
4. 360°

✅ Correct Answer: 4

If perimeter of a rectangle is 24 m, then what would be the measure of each of the external angle of that rectangle?

1. 90°
2. 180°
3. 360°
4. 45°

✅ Correct Answer: 1

In any equilateral triangle, find the sum of all the external angles.

1. 180°
2. 120°
3. 60°
4. 360°

✅ Correct Answer: 4

If a ray stands on a line, then the sum of two adjacent angle is 180°.

1. True
2. False
3.
4.

✅ Correct Answer: 1

A line with two endpoints is called __________

1. line
2. ray
3. line-segment
4. triangle

✅ Correct Answer: 3

How many endpoints does a ray have?

1. One
2. Two
3. Three
4. Four

✅ Correct Answer: 1

If x is an acute angle, then what is true for x?

1. x = 90°
2. 0° < x < 90°
3. 90° < x < 180°
4. 180° < x < 360°

✅ Correct Answer: 2

If x is an obtuse angle, then what is true for x?

1. x = 90°
2. 180° < x < 360°
3. 0° < x < 90°
4. 90° < x < 180°

✅ Correct Answer: 4

If x is a right angle, what is true for x?

1. x = 90°
2. 180° < x < 360°
3. 0° < x < 90°
4. 90° < x < 180°

✅ Correct Answer: 1

What is the angle formed by a line?

1. 90°
2. 180°
3. 270°
4. 360°

✅ Correct Answer: 2

If 180° < x < 360°, then x is a __________ angle.

1. acute
2. obtuse
3. reflex
4. right

✅ Correct Answer: 3

The sum of complimentary angles is __________

1. > 90°
2. < 90°
3. = 90°
4. = 180°

✅ Correct Answer: 3

The sum of two supplementary angles is __________

1. > 90°
2. < 90°
3. = 90°
4. = 180°

✅ Correct Answer: 4

The distance between the points (5, 7) and (8, -5) is ________

1. √153
2. √154
3. √13
4. √53

✅ Correct Answer: 1

The distance of the point (9, -12) from origin will be ___________

1. 13
2. 15
3. 14
4. 17

✅ Correct Answer: 2

What will be the value of x, if the distance between the points (5, 11) and (2, x) is 10?

1. -11 + √91, -11 – √91
2. 11 + √91, 11 – √91
3. 11 + √91, 11 + √91
4. -11 + √91, 11 – √91

✅ Correct Answer: 2

What will be the point of x-axis which will be equidistant from the points (9, 8) and (3, 2)?

1. (10, 0)
2. (13, 0)
3. (11, 0)
4. (12, 0)

✅ Correct Answer: 3

If the point P(a, b) is equidistant from the points (3, 1) and (2, 0) then ____________

1. a + b = -3
2. a – b = -3
3. a + b = 3
4. a – b = 3

✅ Correct Answer: 1

The point on y-axis which is at a distance 5 unit from the point (-5, 7) is ___________

1. (7, 0)
2. (0, 7)
3. (1, 7)
4. (7, 7)

✅ Correct Answer: 2

If A(0, 3), B(5, 0) and C(-5, 0) are the vertices of ∆ABC, then the triangle is __________

1. Right-angled
2. Isosceles
3. Scalene
4. Equilateral

✅ Correct Answer: 2

The area of the triangle if A (-1, -1), B(-1, 3) and C (2, -1) are the vertices of the triangle is ____________

1. 8 units
2. 4 units
3. 6 units
4. 5 units

✅ Correct Answer: 3

Find midpoint of (1, 4, 6) and (5, 8, 10).

1. (6, 12, 8)
2. (3, 6, 8)
3. (1, 9, 12)
4. (4, 9, 12)

✅ Correct Answer: 2

The coordinates of a point dividing the line segment joining (1, 2, 3) and (4, 5, 6) internally in the ratio 2:1 is ____________________

1. (3, 4, 5)
2. (5, 4, 3)
3. (5, 3, 4)
4. (4, 5, 3)

✅ Correct Answer: 1

In which ratio (3, 4, 5) divides the line segment joining (1, 2, 3) and (4, 5, 6) internally?

1. 1:2
2. 2:1
3. 3:4
4. 4:3

✅ Correct Answer: 2

The coordinates of a point dividing the line segment joining (1, 2, 3) and (4, 5, 6) externally in the ratio 2:1 is ____________________

1. (4, 5, 6)
2. (6, 8, 9)
3. (7, 8, 9)
4. (8, 6, 4)

✅ Correct Answer: 3

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.

1. (7, 5, 3)
2. (7, 3, 5)
3. (5, 3, 7)
4. (3, 5, 7)

✅ Correct Answer: 1

The ratio in which line joining (1, 2, 3) and (4, 5, 6) divide X-Y plane is ________

1. 2
2. -2
3. 1/2
4. -1/2

✅ Correct Answer: 4

Find the points which trisects the line joining (4, 9, 8) and (13, 27, -4).

1. (7, 4, 15)
2. (7, 15, 4)
3. (4, 15, 7)
4. (4, 7, 15)

✅ Correct Answer: 2

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?

1. 15cm
2. 10cm
3. 12cm
4. 18cm

✅ Correct Answer: 3

Integration of function is same as the ___________

1. Joining many small entities to create a large entity
2. Indefinitely small difference of a function
3. Multiplication of two function with very small change in value
4. Point where function neither have maximum value nor minimum value

✅ Correct Answer: 1

If differentiation of any function is zero at any point and constant at other points then it means?

1. Function is parallel to x-axis at that point
2. Function is parallel to y-axis at that point
3. Function is constant
4. Function is discontinuous at that point

✅ Correct Answer: 1

f differentiation of any function is infinite at any point and constant at other points then it means ___________

1. Function is parallel to x-axis at that point
2. Function is parallel to y-axis at that point
3. Function is constant
4. Function is discontinuous at that point

✅ Correct Answer: 1

Distance travelled by any object is _____________

1. Double integral of its acceleration
2. Double integral of its velocity
3. Double integral of its Force
4. Double integral of its Momentum

✅ Correct Answer: 2

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.

1. 10.19 km
2. 19.13 km
3. 15.13 km
4. 13.13 km

✅ Correct Answer: 4

If the Hessian matrix of a function is zero then the critical point is?

1. It cannot be concluded
2. Always at Origin
3. Depends on Function
4. (100,100)

✅ Correct Answer: 1

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

1. 90
2. cos(1)
3. sin(1).cos(1)
4. sin(3).cos(3)

✅ Correct Answer: 4

What is the saddle point?

1. Point where function has maximum value
2. Point where function has minimum value
3. Point where function has zero value
4. Point where function neither have maximum value nor minimum value

✅ Correct Answer: 4

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.

1. x=40, y=40, z=40
2. x=38, y=50, z=32
3. x=50, y=40, z=30
4. x=80, y=30, z=50

✅ Correct Answer: 2

The drawback of Lagrange’s Method of Maxima and minima is?

1. Maxima or Minima is not fixed
2. Nature of stationary point is can not be known
3. Accuracy is not good
4. Nature of stationary point is known but can not give maxima or minima

✅ Correct Answer: 2

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?

1. 40 cm/s
2. 40π cm/s
3. 400π cm/s
4. 20π cm/s

✅ Correct Answer: 2

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.

1. 5 cm/s
2. 6 cm/s
3. 2 cm/s
4. 1 cm/s

✅ Correct Answer: 4

What is the formula for the circumference of a circle?

1. C = 2πd
2. C = 2πr
3. C = 2πa
4. C = 2πs

✅ Correct Answer: 2

Find the area of the circle if the radius is 3.14 cm.

1. 30.98 cm
2. 30.48 cm
3. 30.68 cm
4. 30.58 cm

✅ Correct Answer: 1