

MCQOPTIONS
This section includes 174 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.
51. |
If the area of a circle, inscribed in a equilateral triangle is 4 cm2, then what is the area of the triangle? |
A. | $$ {12 sqrt{3} cm^{2}}$$ |
B. | $$ {9 sqrt{3} cm^{2}}$$ |
C. | $$ {8 sqrt{3} cm^{2}}$$ |
D. | $$ {18 cm^{2}}$$ |
Answer» B. $$ {9 sqrt{3} cm^{2}}$$ | |
52. |
ABCD is a rhombus whose one angle is 60 .Find the ratio of the lengths of its diagonal? |
A. | $$ { sqrt{3}:1}$$ |
B. | 1 : 1 |
C. | $$ { sqrt{2}:1}$$ |
D. | None of these |
Answer» C. $$ { sqrt{2}:1}$$ | |
53. |
In a polygon, the sum of the interior angles is double the sum of the exterior angles. What is the number of sides of the polygon? |
A. | 4 |
B. | 8 |
C. | 6 |
D. | 5 |
Answer» D. 5 | |
54. |
If there are four lines in a plane, then what cannot be the number of points of intersection of these lines? |
A. | 0 |
B. | 4 |
C. | 7 |
D. | 5 |
Answer» D. 5 | |
55. |
Two medians AD and BE of ABC intersect G at right angle. If AD = 9 cm and BE = 6 cm, then the length of BD ( in cm ) is |
A. | 5 |
B. | 3 |
C. | 10 |
D. | 6 |
Answer» B. 3 | |
56. |
If $$ {x=7-4 sqrt{3}}$$ find the value of $$ { sqrt{x}+{1 over { sqrt{x}}}}$$. |
A. | 0 |
B. | 1 |
C. | 2 |
D. | 4 |
Answer» E. | |
57. |
In ABC, AB=c cm, AC= b cm and CB=a cm, If A=2 B, then which of the following is true? |
A. | $$ {a^{2}=b^{2}-bc}$$ |
B. | $$ {a^{2}=b^{2}-ac}$$ |
C. | $$ {a^{2}=b^{2}+bc}$$ |
D. | $$ {a^{2}=b^{2}+ac}$$ |
Answer» D. $$ {a^{2}=b^{2}+ac}$$ | |
58. |
Find the length of a tangent, drawn to a circle of radius 4 cm, from a point which is at a distance of 5 cm from the centre? |
A. | 4 cm |
B. | 5 cm |
C. | 3 cm |
D. | 2 cm |
Answer» D. 2 cm | |
59. |
If the perimeter of an equilateral triangle is 30 meters, what is its height? |
A. | 9.66 meter |
B. | 8.66 meter |
C. | 7.66 meter |
D. | 6.66 meter |
Answer» C. 7.66 meter | |
60. |
Bhuvnesh has drawn an angle of measure 4507 when he was asked to draw an angle of 450. The percentage error in his drawing is |
A. | 0.5 % |
B. | 1.0 % |
C. | 1.5 % |
D. | 2.0 % |
Answer» C. 1.5 % | |
61. |
One angle of pentagon is 140 . If the remaining angles are in the ratio 1 : 2: 3: 4, the size of the greatest angle is: |
A. | 150 |
B. | 180 |
C. | 160 |
D. | 170 |
Answer» D. 170 | |
62. |
The centroid of a ABC is G. The area of ABC is 60 cm . The area of GBC is |
A. | 30 cm |
B. | 40 cm |
C. | 10 cm |
D. | 20 cm |
Answer» E. | |
63. |
G is the centroid of ABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively; then the length of AB (in cm) is? |
A. | 11 |
B. | 10 |
C. | 10.5 |
D. | 9.5 |
Answer» C. 10.5 | |
64. |
Diagonals of a Trapezium ABCD with AB CD intersect each other at the point O. If AB=2CD, then the ratio of the areas of AOB and COD is |
A. | 4:1 |
B. | 1: 16 |
C. | 1:4 |
D. | 16:1 |
Answer» B. 1: 16 | |
65. |
In the given figure, DE BC and DE=1/3 BC if area of triangle ADE=20 sq. cm, then what is the area (in sq.cm) of the triangle DEC? |
A. | 40 |
B. | 60 |
C. | 80 |
D. | 120 |
Answer» B. 60 | |
66. |
if is acute angle and sin ( +180) = 1/2, then the value of in circular measure is : |
A. | /12 Radius |
B. | /15 Radius |
C. | 2 /5 Radius |
D. | 3 /13 |
Answer» C. 2 /5 Radius | |
67. |
The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is : |
A. | 8 sq. units |
B. | 13 sq. units |
C. | 20 sq. units |
D. | 40 sq. units |
Answer» D. 40 sq. units | |
68. |
If each side of a cube is increased by 10%. Then find the percent change in the volume of the cube. |
A. | 21% |
B. | 30% |
C. | 33.1% |
D. | 35% |
Answer» D. 35% | |
69. |
The difference between the interior and exterior angles at a vertex of a regular polygon is 150 . The number of sides of the polygon is |
A. | 10 |
B. | 15 |
C. | 24 |
D. | 30 |
Answer» D. 30 | |
70. |
The area of a triangle is 456 sq.cm and its height is 24 cm. The length of its base is |
A. | 32 |
B. | 34 |
C. | 36 |
D. | 38 |
Answer» E. | |
71. |
If the area of a circle is 9 sq.cm then it circumference is |
A. | 9 cm |
B. | 6 cm |
C. | 3 cm |
D. | 6 cm |
Answer» C. 3 cm | |
72. |
If the graph of the equations x + y = 0 and 5y + 7x =24 intersect at (m, n), then the value of m + n is : |
A. | 2 |
B. | 1 |
C. | 0 |
D. | 1 |
Answer» D. 1 | |
73. |
The exterior angle of a regular polygon is one-third of its interior angle, the number of sides of the polygon is - |
A. | 6 |
B. | 8 |
C. | 3 |
D. | 4 |
Answer» C. 3 | |
74. |
The equidistant point from the vertices of a triangle is called its: |
A. | Centroid |
B. | Incentre |
C. | Circumcenter |
D. | Orthocenter |
Answer» D. Orthocenter | |
75. |
AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is |
A. | 14 |
B. | 5 |
C. | 6 |
D. | 8 |
Answer» C. 6 | |
76. |
In triangle PQR, points A, B and C are taken on PQ, PR and QR respectively such that QC = AC and CR = CB. If QPR = 40 , then ACB is equal to: |
A. | $$140^ $$ |
B. | $$40^ $$ |
C. | $$70^ $$ |
D. | $$100^ $$ |
Answer» E. | |
77. |
O is the center and are ABC subtends an angle of 1300 at O. AB is extended to P, then PBC is |
A. | $$75^ $$ |
B. | $$ 70^ $$ |
C. | $$65^ $$ |
D. | $$80^ $$ |
Answer» D. $$80^ $$ | |
78. |
What is the measure of the circum radius of a triangle whose sides are 9cm, 40cm and 41cm? |
A. | 6 cm |
B. | 4 cm |
C. | 20.5 cm |
D. | 24.5 cm |
Answer» D. 24.5 cm | |
79. |
A, B, C are three angles of a triangle. If A - B =18 , B C = 45 , then, B, A and C are |
A. | 69 ,88 , 24 |
B. | 69 , 88 , 23 |
C. | 69 , 87 , 24 |
D. | 69 , 89 , 22 |
Answer» D. 69 , 89 , 22 | |
80. |
O is the incentre of ABC and A = 30 then BOC is |
A. | 100 |
B. | 105 |
C. | 110 |
D. | 90 |
Answer» C. 110 | |
81. |
If the length of the three sides of a triangle are 6 cm, 8 cm, and 10 cm, then the length of the median to its greatest side is |
A. | 8 cm |
B. | 6 cm |
C. | 5 cm |
D. | 4.8 cm |
Answer» D. 4.8 cm | |
82. |
When a diagonal of a square is 24 cm then find out of its perimeter. |
A. | 28 cm |
B. | 48 2 cm |
C. | 36 2 cm |
D. | 46 2 cm |
Answer» C. 36 2 cm | |
83. |
Find measure of central angle of the arc whose length is 22 cm and radius of the circle is 28 cm? |
A. | 60 |
B. | 45 |
C. | 75 |
D. | 90 |
Answer» C. 75 | |
84. |
The length of the chord of a circle is 8 cm and perpendicular distance between center and the chord is 3 cm. Then the radius of the circle is equal to: |
A. | 4 cm |
B. | 5 cm |
C. | 6 cm |
D. | 8 cm |
Answer» C. 6 cm | |
85. |
AB is a chord to a circle and PAT is the tangent to the circle at A. If BAT=75 and BAC=45 and C being a point on the circle, then ABC is equal to |
A. | 40 |
B. | 45 |
C. | 60 |
D. | 70 |
Answer» D. 70 | |
86. |
Find the inradius of a triangle having sides 13, 14 and 15 units. |
A. | 4 |
B. | 6 |
C. | 8 |
D. | 42 |
Answer» B. 6 | |
87. |
In a regular polygon, the exterior and interior angles are in the ration 1:4.The number of sides of the polygon is |
A. | 5 |
B. | 10 |
C. | 3 |
D. | 8 |
Answer» C. 3 | |
88. |
The length of two chords AB and AC of a circle are 8 cm and 6 cm and BAC=90 , then the radius of circle is |
A. | 25 cm |
B. | 20 cm |
C. | 4 cm |
D. | 5 cm |
Answer» E. | |
89. |
Find out the equation of line which is perpendicular to 2x - 3y = 5 and passes through point (1,1). |
A. | 3x 2y = 7 |
B. | 2y + 3x = 35 |
C. | 2y + 3x = 7 |
D. | 2y - 3x = 35 |
Answer» C. 2y + 3x = 7 | |
90. |
D, E, F are the mid - points of the sides BC, CA and AB respectively of a ABC. Then the ratio of the areas of DEF and ABC is D, E, F. |
A. | $$ {1 over2}$$ |
B. | $$ {1 over3}$$ |
C. | $$ {1 over4}$$ |
D. | $$ {1 over5}$$ |
Answer» D. $$ {1 over5}$$ | |
91. |
An octahedron has 12 edges, How many vertices does it have, |
A. | 10 |
B. | 6 |
C. | 8 |
D. | 18 |
Answer» C. 8 | |
92. |
The length of diagonal BD of a parallelogram ABCD is 36 cm. P and Q are the centroids of triangle ABC and triangle ADC respectively. What is the length (in cm) of PQ? |
A. | 26 |
B. | 39 |
C. | 13 |
D. | 52 |
Answer» C. 13 | |
93. |
In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 cm2. what is the area (in cm2) of triangle FGE? |
A. | 26 |
B. | 39 |
C. | 13 |
D. | 52 |
Answer» D. 52 | |
94. |
An arc of 30 in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its center is |
A. | 5 |
B. | 6 |
C. | 3 |
D. | 4 |
Answer» B. 6 | |
95. |
The length of a chord which is at a distance of 12 cm from the center of a circle of radius 13 cm is |
A. | 6 cm |
B. | 12 cm |
C. | 10 cm |
D. | 5 cm |
Answer» D. 5 cm | |
96. |
If angle bisector of a triangle bisects the opposite side, then what type of triangle is it? |
A. | Isosceles or equilateral |
B. | Isosceles |
C. | Right angled |
D. | Equilateral |
Answer» B. Isosceles | |
97. |
If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA, then |
A. | PQ + QR = PQR + AB |
B. | PQ + QR = PR + 2AB |
C. | PQR must be a right angled |
D. | PQR must be an equilateral triangle |
Answer» E. | |
98. |
If AD, BE and CF are medians of ABC, then which one of the following statements is correct? |
A. | AD + BE + CF = AB + BC + CA |
B. | AD + BE + CF = 2 ( AB + BC + CA ) |
C. | ( AD + BE + CF ) < AB + BC + CA |
D. | AD + BE + CF > AB + BC + CA |
Answer» D. AD + BE + CF > AB + BC + CA | |
99. |
In a ABC A : B : C = 2 : 3 : 4 . A line CD drawn || to AB, then the ACD is: |
A. | 80 |
B. | 20 |
C. | 40 |
D. | 60 |
Answer» D. 60 | |
100. |
P and Q are center of two circles with radii 9 cm and 2 cm respectively, where PQ = 17 cm, R is the center of another circle of radius x cm, which touches each of the above two circles externally. If PRQ = 90 , then the value of x is |
A. | 7 cm |
B. | 8 cm |
C. | 4 cm |
D. | 6 cm |
Answer» E. | |