MCQOPTIONS
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MCQOPTIONS
This section includes 804 Mcqs, each offering curated multiple-choice questions to sharpen your Arithmetic Ability knowledge and support exam preparation. Choose a topic below to get started.
| 551. |
PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 38°, then what is the value (in degrees) of ∠PSR? |
| A. | 52 |
| B. | 77 |
| C. | 128 |
| D. | 142 |
| Answer» D. 142 | |
| 552. |
PQRS is a square, M is the mid-point of PQ and N is a point on QR such that NR is two-third of QR. If the area of ΔMQN is 48 cm2 , then what is the length (in cm) of PR ? |
| A. | 12√2 |
| B. | 12 |
| C. | 24 |
| D. | 24√2 |
| Answer» E. | |
| 553. |
PQRS is a square whose side is 16 cm. What is the value of the side (in cm) of the largest regular octagon that can be cut from the given square? |
| A. | 8 – 4√2 |
| B. | 16 + 8√2 |
| C. | 16√2 – √16 |
| D. | 16 – 8√2 |
| Answer» D. 16 – 8√2 | |
| 554. |
PT is a tangent to a circle with centre O and radius 6 cm . If PT is 8 cm then length of OP is |
| A. | 10 cm |
| B. | 12 cm |
| C. | 16 cm |
| D. | 9 cm |
| Answer» B. 12 cm | |
| 555. |
Ratio between heights of two cylinder in the ratio 3:5. Their volumes are in the ratio 27:80. Find ratio between their radius ? |
| A. | 0.04375 |
| B. | 0.084027777777778 |
| C. | 0.12777777777778 |
| D. | 0.17152777777778 |
| Answer» D. 0.17152777777778 | |
| 556. |
Radius of cross section of a solid right circular cylindrical rod is 3.2 dm. The rod is melted and 44 equal solid cubes of side 8 cm are formed. The length of the rod is (Take Π= 22/7) |
| A. | 56 cm |
| B. | 7 cm |
| C. | 5.6 cm |
| D. | 0.7 cm |
| Answer» C. 5.6 cm | |
| 557. |
Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sphere of largest radius is put inside the cone. What is the ratio of radius of base of cone to the radius of sphere? |
| A. | 0.21041666666667 |
| B. | 0.16736111111111 |
| C. | 0.084027777777778 |
| D. | 0.29375 |
| Answer» B. 0.16736111111111 | |
| 558. |
Slope of the line AB is 4/3. Co-ordinates of points A and B are (x , -5) and (2 , -3) respectively. What is the value of x? |
| A. | 44228 |
| B. | -0.25 |
| C. | 4 |
| D. | -4 |
| Answer» B. -0.25 | |
| 559. |
Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 6 cm, then what is the area (in sq.cm) of an equilateral triangle whose side is equal to the bigger diagonal of the rhombus? |
| A. | 18√3 |
| B. | 27√3 |
| C. | 32√3 |
| D. | 36√3 |
| Answer» C. 32√3 | |
| 560. |
Solve the triangle b=36 a=38 c=18 for perimeter of the triangle? |
| A. | 74 units |
| B. | 92 units |
| C. | 56 units |
| D. | 54 units |
| Answer» C. 56 units | |
| 561. |
Slope of the side DA of the rectangle ABCD is 1/3. What is the slope of the side AB? |
| A. | 3 |
| B. | 44256 |
| C. | |
| D. | -3 |
| Answer» E. | |
| 562. |
Suppose that the medians BD, CE and AF of a triangle ABC meet at G. Then AG: GF is |
| A. | 0.043055555555556 |
| B. | 0.084027777777778 |
| C. | 0.04375 |
| D. | 0.085416666666667 |
| Answer» C. 0.04375 | |
| 563. |
Sum of lengths of all edges of a cube is 84 cm, find its volume? |
| A. | 686 cubic cms |
| B. | 343 cubic cms |
| C. | 171.5 cubic cms |
| D. | 514.5 cubic cms |
| Answer» C. 171.5 cubic cms | |
| 564. |
T is a point on the common tangents at P of two circles and if TA and TB are resectively the other tangents at A and B to the two circles drawn from the point T then |
| A. | TA = 2 TB |
| B. | TA = TB |
| C. | TA = 1/2 TB |
| D. | 3TA = TB |
| Answer» C. TA = 1/2 TB | |
| 565. |
The amount of extension in a spring is proportional to the weight hung on it. If the weight of 5 kgs produces an extension of 0.4 cm, what weight would produce an extension of 5cm? |
| A. | 6.25kgs |
| B. | 62.5kgs |
| C. | 4kgs |
| D. | 40kgs |
| Answer» C. 4kgs | |
| 566. |
The area of a semicircle is 1925 cm2. Calculate its perimeter (in cm). |
| A. | 360 |
| B. | 80 |
| C. | 160 |
| D. | 180 |
| Answer» E. | |
| 567. |
The area and the length of one of the diagonals of a rhombus is 60 cm2 and 8 cm respectively. Find the length of its other diagonal (in cm). |
| A. | 7.5 |
| B. | 30 |
| C. | 22.5 |
| D. | 15 |
| Answer» E. | |
| 568. |
The area and the length of one of the diagonals of a rhombus is 54 cm2 and 9 cm respectively. Find the length of its other diagonal (in cm). |
| A. | 6 |
| B. | 24 |
| C. | 12 |
| D. | 18 |
| Answer» D. 18 | |
| 569. |
The area of a semicircle is 1925 sq.cm. Calculate its perimeter (in cm). |
| A. | 360 |
| B. | 80 |
| C. | 160 |
| D. | 180 |
| Answer» E. | |
| 570. |
The areas of three consecutive faces of a cuboid are 12 cm², 20cm² and 15 cm², then the volume (in cm³) of the cuboid is |
| A. | 60 |
| B. | 55 |
| C. | 45 |
| D. | 40 |
| Answer» B. 55 | |
| 571. |
The area of a triangle ABC is 63 sq.units. Two parallel lines DE, FG, are drawn such that they divide the line segments AB and AC into three equal parts. What is the area of the quadrilateral DEGF?_x005F_x000D_ Â _x005F_x000D_ |
| A. | 28 sq.units |
| B. | 35 sq.units |
| C. | 21 sq.units |
| D. | 48 sq.units |
| Answer» D. 48 sq.units | |
| 572. |
The area of the base of a cone is 64pi sq.cm while its slant height is 17 cm. This cone is remolded to obtain a solid sphere. The radius of this sphere will be _x005F_x000D_ |
| A. | 2303Â cm |
| B. | 2403Â cm |
| C. | 8303Â cm |
| D. | 6.5 cm |
| Answer» B. 2403Â cm | |
| 573. |
The base and hypotenuse of a right angled triangle is 12 cm and 5 cm respectively. Find the circum-radius (in cm) of the triangle._x005F_x000D_ |
| A. | 5 |
| B. | 6 |
| C. | 6.5 |
| D. | 7 |
| Answer» D. 7 | |
| 574. |
The base area of a right pyramid is 57 sq. units and height is 10 units. Then the volume of the pyramid is |
| A. | 190 c. units |
| B. | 380 c. units |
| C. | 540 c. units |
| D. | 570 c. units |
| Answer» B. 380 c. units | |
| 575. |
The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is 18 cm and the height of the prism is 20 cm, then what is the volume (in cm3) of the prism? |
| A. | 60√3 |
| B. | 30√6 |
| C. | 60√2 |
| D. | not know |
| Answer» E. | |
| 576. |
The base of a pyramid is a rectangle whose length and breadth are 16 cm and 12 cm respectively. If the length of all the lateral edges passing through the vertex of the right rectangular pyramid is 26 cm, then find the volume of the pyramid in cubic centimeter? |
| A. | 1536 |
| B. | 1024 |
| C. | 718 |
| D. | 2072 |
| Answer» B. 1024 | |
| 577. |
The base of a right prism is a trapezium whose the length of parallel sides are 25 cm and 11 cm and the perpendicular distance between the parallell sides in 16 cm. If the height of the prism is 10 cm, then the volume of the prism is |
| A. | 1440 cu.cm |
| B. | 1540 cu.cm |
| C. | 2880 cu.cm |
| D. | 960 cu.cm |
| Answer» D. 960 cu.cm | |
| 578. |
The capacity of a tank of dimensions (8m x 6m x 2.5m)is |
| A. | 120 litres |
| B. | 1200 litres |
| C. | 12000 litres |
| D. | 120000 litres |
| Answer» E. | |
| 579. |
The chord AB of a circle of centre O subtends an angle θ with the tangent at A to the circle. Then measure of∠ABO is |
| A. | θ |
| B. | 90° - θ |
| C. | 90° + θ |
| D. | 2 (180° - θ) |
| Answer» C. 90° + θ | |
| 580. |
The circumference of a circle is equal to the perimeter of an equilateral Δ. If the radius of the circle is 14 cm what is the length of the side of the equilateral Δ? |
| A. | 88 cm |
| B. | 88/3 cm |
| C. | 88/√3 cm |
| D. | 88√3 cm |
| Answer» C. 88/√3 cm | |
| 581. |
The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles  ? |
| A. | 2413 sq.m |
| B. | 1234 sq.m |
| C. | 4312 sq.m |
| D. | 2143 sq.m |
| Answer» D. 2143 sq.m | |
| 582. |
The circumference of a circular base of Cylinder is 44 cm and its hight is 15 cm. Then the volume of the cylinder is? |
| A. | 2759 cub. cm |
| B. | 2247 cub. cm |
| C. | 2614 cub. cm |
| D. | 2311 cub. cm |
| Answer» E. | |
| 583. |
The co-ordinates of the centroid of a triangle ABC are (-1 , 4). What are the co-ordinates of vertex C if co-ordinates of A and B are (-3 , -1) and (3 , 5)Â respectively? |
| A. | (-3 , 8) |
| B. | (3 , 8) |
| C. | (-3 , -8) |
| D. | (3 , -8) |
| Answer» B. (3 , 8) | |
| 584. |
The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2)Â respectively? |
| A. | (-2 , 5) |
| B. | (2 , 5) |
| C. | (-2 , -5) |
| D. | (2 , -5) |
| Answer» B. (2 , 5) | |
| 585. |
The copper wire when bent in the form of a square encloses an area of 121 cub.cm. If the same wire is bent into the form of a circle, find the area of the circle. |
| A. | 154 sq.cm |
| B. | 153 sq.cm |
| C. | 155 sq.cm |
| D. | 150 sq.cm |
| Answer» B. 153 sq.cm | |
| 586. |
The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon? |
| A. | a(√2 –1) |
| B. | a(√3 –1) |
| C. | a/√2+2 |
| D. | a/3 |
| Answer» B. a(√3 –1) | |
| 587. |
The cost of the paint is rs.36.50 per kg. if 1kg of paint covers 16sq.ft, how much will it cost to paint outside of a cube having 8 feet each side |
| A. | Rs.962 |
| B. | Rs.672 |
| C. | Rs.546 |
| D. | Rs.876 |
| Answer» E. | |
| 588. |
The cross section of a canal is in the shape of an isosceles trapezium which is 4 m wide at the bottom and 5 m wide at the top. If the depth of the canal is 2 m and it is 120 m long, what is the maximum capacity of this canal? |
| A. | 2160 cubic mts |
| B. | 3240 cubic mts |
| C. | 4320 cubic mts |
| D. | 1080 cubic mts |
| Answer» E. | |
| 589. |
The curved surface area and the diameter of a right circular cylinder are 132 sq.cm and 7 cm respectively. Find its height (in cm)._x005F_x000D_ |
| A. | 7 |
| B. | 8 |
| C. | 9 |
| D. | 6 |
| Answer» E. | |
| 590. |
The curved surface area and the diameter of a right circular cylinder are 352 cm² and 14 cm respectively. Find its height (in cm). |
| A. | 9 |
| B. | 8 |
| C. | 10 |
| D. | 11 |
| Answer» C. 10 | |
| 591. |
The curved surface area and the slant height of a right circular cone are 858 cm² and 13 cm respectively. Find its diameter (in cm)._x005F_x000D_ |
| A. | 21 |
| B. | 42 |
| C. | 84 |
| D. | 63 |
| Answer» C. 84 | |
| 592. |
The curved surface area of a cylindrical pillar is 264 sq.m and its volume is 924 cub.m. Find the ratio of its diameter to its height |
| A. | 0.12986111111111 |
| B. | 0.29375 |
| C. | 0.25486111111111 |
| D. | 0.29583333333333 |
| Answer» C. 0.25486111111111 | |
| 593. |
The curved surface area of a hemisphere is 27.72 sq cm and volume is 19.404 cubic cm, find its radius? |
| A. | 4.2 cm |
| B. | 2.1 cm |
| C. | 0.7 cm |
| D. | 1.05 cm |
| Answer» C. 0.7 cm | |
| 594. |
The diagonal of a rectangle is sqrt(41) cm. Â and its area is 20 sq. cm. The perimeter of the rectangle must be: |
| A. | 9 cm |
| B. | 18 cm |
| C. | 20 cm |
| D. | 41 cm |
| Answer» C. 20 cm | |
| 595. |
The diagonal of a square is equal to the side of an equilateral triangle. If the area of the square is 15√3 sq cm, what is the area of the equilateral triangle? |
| A. | 45/√2 sq cm |
| B. | 45√2 sq cm |
| C. | 45 sq cm |
| D. | 45/2 sq cm |
| Answer» E. | |
| 596. |
The diagonal of a square is 10 cm. What is the length (in cm) of its side? |
| A. | 5 |
| B. | 5√2 |
| C. | 10√2 |
| D. | 5/√2 |
| Answer» C. 10√2 | |
| 597. |
The diagonals are congruent in a _____. |
| A. | Parallelogram |
| B. | Rhombus |
| C. | Isosceles trapezium |
| D. | Kite |
| Answer» D. Kite | |
| 598. |
The diagonals are not perpendicular in a _____. |
| A. | Parallelogram |
| B. | Kite |
| C. | Rhombus |
| D. | Square |
| Answer» B. Kite | |
| 599. |
The diagonals do not form at least two congruent triangles in a _____. |
| A. | Parallelogram |
| B. | Rhombus |
| C. | Trapezium |
| D. | Kite |
| Answer» D. Kite | |
| 600. |
The diameter of a circle is equal to the side of the square. What is the area of the square if the area of the circle is 49Ï€ sq cm? |
| A. | 196 sq cm |
| B. | 154 sq cm |
| C. | 124 sq cm |
| D. | 98 sq cm |
| Answer» B. 154 sq cm | |