MCQOPTIONS
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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.
| 1. |
One of the diagonals of a rhombus is 70% of the other diagonal, what is the ratio of area of rhombus to the square of the length of the larger diagonal? |
| A. | 7:20 |
| B. | 7:10 |
| C. | 3:10 |
| D. | 3:20 |
| Answer» B. 7:10 | |
| 2. |
The x - intercept on the graph of 7x - 3y = 2 is : |
| A. | $${3 over 5}$$ |
| B. | $${3 over 7}$$ |
| C. | $${2 over 5}$$ |
| D. | $${2 over 7}$$ |
| Answer» E. | |
| 3. |
O and C are respectively the orthocentre and the circumcentre of an acute angled triangle POR. The points P and O are joined and produced to meet the side QR at S. If POS=600 and QCR = 130 , then RPS = ? |
| A. | 30 |
| B. | 35 |
| C. | 100 |
| D. | 60 |
| Answer» C. 100 | |
| 4. |
The length of the intercept of the graph of the equation 9x 12y = 108 between the two axes is |
| A. | 15 units |
| B. | 9 units |
| C. | 12 units |
| D. | 18 units |
| Answer» B. 9 units | |
| 5. |
In ABC, AD is the internal bisector of A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is |
| A. | 2 : 1 |
| B. | 1 : 2 |
| C. | 4 : 5 |
| D. | 3 : 5 |
| Answer» B. 1 : 2 | |
| 6. |
If diagonals of a rhombus are 16 cm and 30 cm. then what is the perimeter (in cm) of the rhombus? |
| A. | 32 |
| B. | 64 |
| C. | 34 |
| D. | 68 |
| Answer» E. | |
| 7. |
A piece of wire when bent to form a circle will have a radius of 84 cm. If the wire is bent to form a square, the length of a side of the square is |
| A. | 152 cm |
| B. | 132 cm |
| C. | 168 cm |
| D. | 225 cm |
| Answer» C. 168 cm | |
| 8. |
D and E are midpoints of side AB and AC respectively of the ABC. A line drawn from A meets BC at H and DE at K. AK : KH = ? |
| A. | 1 : 1 |
| B. | 1: 2 |
| C. | 2 : 1 |
| D. | 3 : 2 |
| Answer» B. 1: 2 | |
| 9. |
A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase (in cm.2) in the total surface area? |
| A. | $$88 cm.^2$$ |
| B. | $$77 cm.^2$$ |
| C. | $$56 cm.^2$$ |
| D. | $$66 cm.^2$$ |
| Answer» C. $$56 cm.^2$$ | |
| 10. |
A sector area of 4% is removed from a circular sheet of paper of diameter 50 cm, If the remaining part is used to make a conical surface , then the ratio of radius and height of the- |
| A. | 14 : 15 |
| B. | 25 : 18 |
| C. | 12 : 7 |
| D. | 24 : 7 |
| Answer» E. | |
| 11. |
A container in the shape of a frustum of a cone having diameters of its two circular faces as 35 cm. and 30 cm and vertical height 14 cm. is completely filled with oil. If each cm3 of oil has mass 1.2g, then find the cost of oil in the container if its costs Rs. 40 per kg. |
| A. | Rs. 597.50 |
| B. | Rs. 540.20 |
| C. | 569.60 |
| D. | Rs. 558.80 |
| Answer» E. | |
| 12. |
Given that (a +b )=60, then find the value of (a+b) +(a b) . |
| A. | 90 |
| B. | 120 |
| C. | 140 |
| D. | 150 |
| Answer» C. 140 | |
| 13. |
Line 2x + y = 3 and 3x - 2y = 1 meets X-axis at two two points. Find the distance between these points. |
| A. | 5/3 units |
| B. | 2 / 3 units |
| C. | 1 units |
| D. | 2 units |
| Answer» D. 2 units | |
| 14. |
X and Y are centres of circles of radius 9 cm. and 2 cm respectively XY=17 cm. Z is the centre of a circle of radius r cm which touches the above circles externally. Given that - xzy = 90o the value of r is - |
| A. | 13 cm |
| B. | 6 cm |
| C. | 9 cm |
| D. | 8 cm |
| Answer» C. 9 cm | |
| 15. |
In ABC, C=90 and D is a point on CB such that AD is the bisector of A. If AC=5 cm and BC=12 cm, then what is the length of AD? |
| A. | $$ {10 over 3}{cm}$$ |
| B. | $$ {5 sqrt{13} over 6}{ cm}$$ |
| C. | $$ {5 sqrt{13} over 3}{ cm}$$ |
| D. | $$ {20 over 3} { cm}$$ |
| Answer» D. $$ {20 over 3} { cm}$$ | |
| 16. |
O is the orthocentre of ABC. If BOC=110 , BAC is equal to |
| A. | 90 |
| B. | 70 |
| C. | 80 |
| D. | 110 |
| Answer» C. 80 | |
| 17. |
P is a point outside a circle and is 26 cm away from its centre. A secant PAB drawn form P intersects the circle at points A and B such that PB=32 cm and PA=18cm. The radius of the circle (in cm) is: |
| A. | 12 |
| B. | 13 |
| C. | 10 |
| D. | 8 |
| Answer» D. 8 | |
| 18. |
In the triangle ABC, AB = 2 cm, BC = 3 cm and AC = 4 cm. D is the middle point of AC. If a square is constructed on the side BC, what is the area of the square? |
| A. | $$2.50 cm^2$$ |
| B. | $$1.50 cm^2$$ |
| C. | $$3.50 cm^2$$ |
| D. | $$4.25 cm^2$$ |
| Answer» B. $$1.50 cm^2$$ | |
| 19. |
'G' is centroid of ABC if AG = BC then find BGC. |
| A. | $$60^0$$ |
| B. | $$120^0$$ |
| C. | $$90^0$$ |
| D. | $$30^0$$ |
| Answer» B. $$120^0$$ | |
| 20. |
A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. The area of the circle is: |
| A. | 125 cm2 |
| B. | 230 cm2 |
| C. | 550 cm2 |
| D. | 616 cm2 |
| Answer» E. | |
| 21. |
ABCD is cyclic quadrilateral Sides AB and DC, when produced, meet at E, and sides BC and AD, When produced, meet at F. If BFA=60 and AED=30 , then the measure of ABC is: |
| A. | 65 |
| B. | 70 |
| C. | 80 |
| D. | 75 |
| Answer» E. | |
| 22. |
Inside a square PQRS, QTR is an equilateral triangle. If RT and QS intersect at O, then QOR is equal to- |
| A. | 50 |
| B. | 75 |
| C. | 60 |
| D. | 90 |
| Answer» C. 60 | |
| 23. |
The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals? |
| A. | 12 units |
| B. | 18 units |
| C. | 24 units |
| D. | 36 units |
| Answer» E. | |
| 24. |
A circle with radius 42 cm is drawn. What will be length of arc of a sector subtending an angle of 60 degrees at the Centre? |
| A. | 44 cm |
| B. | 22 cm |
| C. | 66 cm |
| D. | 88 cm |
| Answer» B. 22 cm | |
| 25. |
In any triangle ABC, AB + BC = 12 cm, BC + CA = 14 cm and CA + AB = 18 cm. What will be length of radius of a circle, if the perimeter of circle is equal to the perimeter of triangle ABC? |
| A. | 2 cm |
| B. | 3.5 cm |
| C. | 1.5 cm |
| D. | None of these |
| Answer» C. 1.5 cm | |
| 26. |
The three vertices of a parallelogram taken in order are (0, 1), (2, 3) and (4, 3) respectively, then the coordinates of the fourth vertex is |
| A. | (-2, 1) |
| B. | (-2, -1) |
| C. | (2, 1) |
| D. | (1, 2) |
| Answer» D. (1, 2) | |
| 27. |
If two complimentary angles are in the ratio of 4:5, find the greater angle. |
| A. | 40 |
| B. | 50 |
| C. | 60 |
| D. | 30 |
| Answer» C. 60 | |
| 28. |
The area enclosed between the circumferences of two concentric circles is 45 square cm and their radii are in the ratio of 3:2. What is the area off the outer circle? |
| A. | 49 sq.cm |
| B. | 81 sq.cm |
| C. | 100 sq.cm |
| D. | 64 sq.cm |
| Answer» C. 100 sq.cm | |
| 29. |
The difference between the circumferences of two circles is 110 cm and the radius of the smaller circle is 14 cm. what is the radius of the larger circle? |
| A. | 16 cm |
| B. | 21.5 cm |
| C. | 22.5 cm |
| D. | 42 cm |
| Answer» C. 22.5 cm | |
| 30. |
If one angle is half of its complementary angle, find that angle. |
| A. | 30 |
| B. | 60 |
| C. | 180 |
| D. | 120 |
| Answer» C. 180 | |
| 31. |
Two circles having radii 5 units intersect each other in such a way that each of them passes through the centre of the other. Then the length of their common chord is |
| A. | $$ sqrt{45}$$ |
| B. | $$ sqrt{55}$$ |
| C. | $$ sqrt{35}$$ |
| D. | $$ sqrt{75}$$ |
| Answer» E. | |
| 32. |
If the ratio of the measurement of the four angles of a quadrilateral is 1: 2: 3: 4, then the measurement of its smallest angle is- |
| A. | 120 |
| B. | 36 |
| C. | 100 |
| D. | 18 |
| Answer» C. 100 | |
| 33. |
If the ratio of the measurements of the three angles of a triangle is 2: 3: 4, then the measurement of its largest angle is. |
| A. | 40 |
| B. | 60 |
| C. | 80 |
| D. | 120 |
| Answer» D. 120 | |
| 34. |
In ABC, AB = AC and B = 40 , find the value of A. |
| A. | 40 |
| B. | 100 |
| C. | 80 |
| D. | 10 |
| Answer» C. 80 | |
| 35. |
The Median of an isosceles triangle ABC is AD and A = 110 , AB = AC, find the value of ADB. |
| A. | 50 |
| B. | 70 |
| C. | 90 |
| D. | 40 |
| Answer» D. 40 | |
| 36. |
In a triangle ABC, the sides DE parallel to BC and AD = 6 cm, DB = 9 cm, AE = 8 cm, find the value of AC. |
| A. | 8 cm |
| B. | 12 cm |
| C. | 20 cm |
| D. | 6 cm |
| Answer» D. 6 cm | |
| 37. |
If the ratio of the heights of two identical triangles is 4: 9, find the ratio of the areas of the two triangles. |
| A. | 16 : 81 |
| B. | 4 : 9 |
| C. | 9 :4 |
| D. | 81 : 16 |
| Answer» B. 4 : 9 | |
| 38. |
If the angles of a triangle are in the ratio of 2:3:7, then find the ratio of the greatest angle to the smallest angle. |
| A. | 7:2 |
| B. | 2:3 |
| C. | 7:1 |
| D. | 3:5 |
| Answer» B. 2:3 | |
| 39. |
The radius of a circle is 14 cm. what is area of another circle having radius 1.5 times the actual circle? |
| A. | $$ {1296{ cm^{2}}}$$ |
| B. | $$ {1386 { cm^{2}}}$$ |
| C. | $$ {1352 { cm^{2}}}$$ |
| D. | $$ {1485 { cm^{2}}}$$ |
| E. | $$ {1276 { cm^{2}}}$$ |
| Answer» E. $$ {1276 { cm^{2}}}$$ | |
| 40. |
Each side of an equilateral triangle is 4 cm. What will be its area? |
| A. | $$ {2 sqrt{3}}$$ |
| B. | $$ {4 sqrt{3}}$$ |
| C. | 30 |
| D. | 64 |
| Answer» C. 30 | |
| 41. |
Four coins whose diameter is 12.6 cm are placed in such a way that one coin touches the other coin, find the area between them. |
| A. | 34.02 sq.cm |
| B. | 28.30 sq.cm |
| C. | 50.05 sq.cm |
| D. | 25.05 sq.cm |
| Answer» B. 28.30 sq.cm | |
| 42. |
ABC is a right angled triangle whose angle A is right angled. Which side needs to bisect to form two other right angled triangles? |
| A. | AB |
| B. | BC |
| C. | AC |
| D. | None of these |
| Answer» C. AC | |
| 43. |
The largest and the second largest angles of a triangle are in the ratio of 3 : 2 respectively. The smallest angle is 20% of the sum of the rest two angles. What is the sum of the smallest and the second largest angles? |
| A. | 80 |
| B. | 60 |
| C. | 100 |
| D. | 90 |
| Answer» E. | |
| 44. |
If the angles of a triangle are in the ratio of 1:4:7, then find the ratio of the greatest angle to the smallest angle. |
| A. | 7:2 |
| B. | 2:3 |
| C. | 7:1 |
| D. | 3:5 |
| Answer» D. 3:5 | |
| 45. |
Find the distance travelled by a 40 cm diameter wheel to cover a distance of 176 meters? Using ( =22/7) |
| A. | 140 |
| B. | 150 |
| C. | 160 |
| D. | 166 |
| Answer» B. 150 | |
| 46. |
In ABC, B is a right angle, AC = 6cm, and D is the mid-point of AC. The length of BD is: |
| A. | 4 cm |
| B. | 6 cm |
| C. | 3 cm |
| D. | None of these |
| Answer» D. None of these | |
| 47. |
Find the area of the circle formed in an equilateral triangle of side 42 cm. Using ( =22/7) |
| A. | $$ 231 cm^{2}$$ |
| B. | $$ 462 cm^{2}$$ |
| C. | $$ {22 sqrt{3}} cm^{2}$$ |
| D. | $$ 924 cm^{2}$$ |
| Answer» C. $$ {22 sqrt{3}} cm^{2}$$ | |
| 48. |
Find the area of the largest triangle made in a semicircle of r cm radius? |
| A. | $$ {2r cm^{2}}$$ |
| B. | $$ {r^{2} cm^{2}}$$ |
| C. | $$ {2 cm^{2}}$$ |
| D. | $$ {1 over 2}{r^{2}} {cm^{2}}$$ |
| Answer» C. $$ {2 cm^{2}}$$ | |
| 49. |
The lengths of the lengths placed on the sides of a point inside an equilateral triangle are 6 cm, 8 cm and 10 cm. What is the area of the triangle? |
| A. | $$ {48 cm^{2}}$$ |
| B. | $$ {16 sqrt{3}} cm^{2}$$ |
| C. | $$ {192 sqrt{3}} cm^{2}$$ |
| D. | $$ {192 cm^{2}}$$ |
| Answer» D. $$ {192 cm^{2}}$$ | |
| 50. |
Triangle PQR is such that PQ=9 cm, QR=6 cm, PR=7.5 cm and triangle PQR is similar to triangle XYZ. If XY=18 cm, find the value of YZ. |
| A. | 15 cm |
| B. | 18 cm |
| C. | 12 cm |
| D. | 9 cm |
| Answer» D. 9 cm | |