MCQOPTIONS
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MCQOPTIONS
This section includes 1292 Mcqs, each offering curated multiple-choice questions to sharpen your Quantitative Aptitude knowledge and support exam preparation. Choose a topic below to get started.
| 751. |
A right circular cylinder is partially filled with water. Two iron spherical balls are completely immersed in the water so that the height of the water in the cylinder rises by 4 cm. If the radius of one ball is half of the other and the diameter of the cylinder is 18 cm, then the radii of the spherical balls are: |
| A. | 6 cm and 12 cm |
| B. | 4 cm and 8 cm |
| C. | 3 cm and 6 cm |
| D. | 2 cm and 4 cm |
| Answer» D. 2 cm and 4 cm | |
| 752. |
If the adjacent sides of a parallelogram are in the ratio 4 : 5 having perimeter 180 cm, then its sides are: |
| A. | 40 cm and 50 cm |
| B. | 32 cm and 40 cm |
| C. | 44 cm and 55 cm |
| D. | 36 cm and 45 cm |
| Answer» B. 32 cm and 40 cm | |
| 753. |
If one of the acute angles of the right-angled triangle is 55°, what is the measure of the other acute angle? |
| A. | 40° |
| B. | 30° |
| C. | 25° |
| D. | 35° |
| Answer» E. | |
| 754. |
If the radius of a circle is decreased by 11% then the total decrease in the area of the circle is given as: |
| A. | 19.50% |
| B. | 20.79% |
| C. | 21% |
| D. | 20.50% |
| Answer» C. 21% | |
| 755. |
A solid cylinder whose radius of the base is 12 cm and the height is 8 cm is melted and made a solid sphere. The radius of the sphere is _____ cm. |
| A. | \(6\sqrt[3]{4}\) |
| B. | 6 |
| C. | \(6\sqrt[3]{3}\) |
| D. | \(12\sqrt[3]{3}\) |
| Answer» B. 6 | |
| 756. |
A ladder resting on the wall is grounded 3 metres away from the base of the wall. If the length of the ladder is 5m, what is the height at which it is resting on the wall? |
| A. | 2 m |
| B. | 5 m |
| C. | 3 m |
| D. | 4 m |
| Answer» E. | |
| 757. |
A solid cylinder has a total surface area of 231 sq. cm. If its curved surface area is 2/3 of the total surface area, then the volume of the cylinder is |
| A. | 154 cu.cm |
| B. | 308 cu.cm |
| C. | 269.5 cu.cm |
| D. | 370 cu.cm |
| Answer» D. 370 cu.cm | |
| 758. |
In a circle with centre O, AD is a diameter and AC is a chord. B is a point on AC, such that OB = 5 cm and ∠OBA = 60°. If ∠DOC = 60°, then what is the length of BC? |
| A. | 4 cm |
| B. | 5 cm |
| C. | 5√3 cm |
| D. | 3√5 cm |
| Answer» C. 5√3 cm | |
| 759. |
A circular path is made from two concentric circular rings in such a way that the smaller ring when allowed to roll over the circumference of the bigger ring, it takes three full revolutions. If the area of the path way is n times the area of the smaller ring, then n is equal to |
| A. | 4 |
| B. | 6 |
| C. | 8 |
| D. | 10 |
| Answer» D. 10 | |
| 760. |
If the length of a side of a square increased by 8 cm, its area increased by 120 square cm. What is the length of a side of the square? |
| A. | 2.5 cm |
| B. | 3.5 cm |
| C. | 4.5 cm |
| D. | 5.5 cm |
| Answer» C. 4.5 cm | |
| 761. |
Find the altitude of a right prism for which the area of the lateral surface is 143 sq.cm and the perimeter of the base is 13 cm. |
| A. | 22 cm |
| B. | 11 cm |
| C. | 16 cm |
| D. | 15 cm |
| Answer» C. 16 cm | |
| 762. |
Mohan wants to buy a trapezium shaped field. Its side along the river is parallel and twice the side along the road. If the area of the field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, the length of the side along the river is: |
| A. | 140 m |
| B. | 180 m |
| C. | 70 m |
| D. | 210 m |
| Answer» B. 180 m | |
| 763. |
A solid cone of height 24 cm and radius of its base 8 cm is melted to form a solid cylinder of radius 6 cm and height 6 cm. In the whole process what percent of material is wasted? |
| A. | 48.5 |
| B. | 37.5 |
| C. | 57.8 |
| D. | 64 |
| Answer» D. 64 | |
| 764. |
A closed cylindrical tank of radius 1.3 m and height 1.5 m is made from a sheet of metal. How much metal sheet (in m2) is required? |
| A. | 22.88 |
| B. | 28.26 |
| C. | 24.4 |
| D. | 3-.14 |
| Answer» B. 28.26 | |
| 765. |
If the surface area of a cube is 3750 cm2, then find its volume. |
| A. | 14255 cm3 |
| B. | 12225 cm3 |
| C. | 15625 cm3 |
| D. | 16625 cm3 |
| Answer» D. 16625 cm3 | |
| 766. |
If each edge of cube is increased by 50%, so what will be percentage increase in its surface area? |
| A. | 75% |
| B. | 100% |
| C. | 125% |
| D. | 150% |
| Answer» D. 150% | |
| 767. |
ΔPQR is right angled at Q. If ∠P = 45°, then find the value of (cosec R + 1/3). |
| A. | (√3 + 2)/2√3 |
| B. | (√3 + 2)/2 |
| C. | (3√2 + 1)/3 |
| D. | (2 + 2√3)/√3 |
| Answer» D. (2 + 2√3)/√3 | |
| 768. |
A wire is in the form of a circle of radius 70 cm. If it is bent in the form of a rhombus, then what is its side length? (Take π = 22/7) |
| A. | 55 cm |
| B. | 75 cm |
| C. | 95 cm |
| D. | 110 cm |
| Answer» E. | |
| 769. |
Calculate the area (in cm2) of a circle whose diameter is 35 cm. |
| A. | 1825 |
| B. | 962.5 |
| C. | 857.5 |
| D. | 1715 |
| Answer» C. 857.5 | |
| 770. |
Outer radius of a circular path is 35 cm. Inner radius of the same path is 21 cm. What is the area of this circular path ? |
| A. | 2085 cm2 |
| B. | 2464 cm2 |
| C. | 3246 cm2 |
| D. | 2535 cm2 |
| Answer» C. 3246 cm2 | |
| 771. |
Find the surface area (in cm2) of a sphere whose diameter is 14 cm. |
| A. | 616 |
| B. | 910 |
| C. | 511 |
| D. | 1025 |
| Answer» B. 910 | |
| 772. |
In triangle ABC, D and E are two points on the sides AB and AC respectively so that DE || BC and AD/BD = 3/4. The ratio of the area of ΔABC to the area of trapezium DECB is: |
| A. | 40 : 49 |
| B. | 49 : 40 |
| C. | 49 : 33 |
| D. | 33 : 49 |
| Answer» C. 49 : 33 | |
| 773. |
A triangle has sides 25, 39, 34 units. If the area of a square exceeds the area of this triangle by 21 units, then the side of the square is: |
| A. | 21 units |
| B. | 25 units |
| C. | 18 units |
| D. | 22 units |
| Answer» B. 25 units | |
| 774. |
3D bodies occupy a portion of the space. The extent of space occupied by a 3D body is its ______. |
| A. | Time-measure |
| B. | Volume-measure |
| C. | Distance-measure |
| D. | Weight-measure |
| Answer» C. Distance-measure | |
| 775. |
A conical tent has to accommodate 25 persons. Each person must have 4 m2 of space on the ground and 80 m3 of air to breathe. Find the height of the tent. |
| A. | 50 m |
| B. | 45 m |
| C. | 60 m |
| D. | 40 m |
| Answer» D. 40 m | |
| 776. |
If the edge of a cube is increased by 4 cm, the surface area will increase by 432 cm2. Then the original length of each edge of the cube is _____. |
| A. | 8 cm |
| B. | 7 cm |
| C. | 6 cm |
| D. | 9 cm |
| Answer» C. 6 cm | |
| 777. |
If the side of a cube is 8 cm, then what is the volume (in cm3) of the cube? |
| A. | 64 |
| B. | 128 |
| C. | 192 |
| D. | 512 |
| Answer» E. | |
| 778. |
16 number of square sheets of paper each of 1 cm edge were kept adjacent to each other on a table to form a bigger square. What is the perimeter of the bigger square in cm.? |
| A. | 8 |
| B. | 12 |
| C. | 16 |
| D. | 32 |
| Answer» D. 32 | |
| 779. |
If the area of the base of a cone is increased then it becomes 1.96 times of original area. If the volume is increased by: |
| A. | 141% |
| B. | 40% |
| C. | 96% |
| D. | 100% |
| Answer» D. 100% | |
| 780. |
If the area of an equilateral triangle is 60√3 m2, then what is the value (in metres) of its height? |
| A. | 4√5 |
| B. | 5√5 |
| C. | √30 |
| D. | 6√5 |
| Answer» E. | |
| 781. |
A piece of tin is in the form of a ractangle having length 12 cm and width 8 cm. This is used to construct a closed cube. The side of the cube is: |
| A. | 2 cm |
| B. | 3 cm |
| C. | 4 cm |
| D. | 6 cm |
| Answer» D. 6 cm | |
| 782. |
ABCD is a rhombus with ∠ABC = 56∘. The measure of ∠ACD is ________. |
| A. | 56∘ |
| B. | 124∘ |
| C. | 62∘ |
| D. | 24∘ |
| Answer» D. 24∘ | |
| 783. |
If the radius of sphere is decreased by 10%, then by what percent volume of sphere will decrease? |
| A. | 30 |
| B. | 27.1 |
| C. | 29.3 |
| D. | 28.5 |
| Answer» C. 29.3 | |
| 784. |
All the angles contained in the figure are right angles. If its perimeter is determined using the measurements given in the figure, then what will be the perimeter in cm.? |
| A. | 60 |
| B. | 50 |
| C. | 40 |
| D. | 30 |
| Answer» E. | |
| 785. |
PQRS is a rectangle. The ratio of the sides PQ and QR is 3 ∶ 1. If the length of the diagonal PR is 10 cm, then what is the area (in cm2) of the rectangle? |
| A. | 15 |
| B. | 30 |
| C. | 45 |
| D. | 20 |
| Answer» C. 45 | |
| 786. |
Find the length of the longest rod that can be placed in a hall of 10 m length, 6 m breadth and 4 m height. |
| A. | 2√19 m |
| B. | 2√ 38m |
| C. | 4√38 m |
| D. | 3√38 m |
| Answer» C. 4√38 m | |
| 787. |
If the volume of a cube is 4913 cubic cm, then its total surface area is: |
| A. | 1734 square cm |
| B. | 289 square cm |
| C. | 102 square cm |
| D. | 1156 square cm |
| Answer» B. 289 square cm | |
| 788. |
A thin rod of length 24 feet is cut into rods of equal size and joined so as to form a skeleton cube. What is the area of one of the faces of the largest cube thus constructed? |
| A. | 25 square feet |
| B. | 24 square feet |
| C. | 9 square feet |
| D. | 4 square feet |
| Answer» E. | |
| 789. |
If the radius of the base of a right circular cylinder is increased by 20% and the height is decreased by 30%, then what is the percentage increase/decrease in the volume? |
| A. | Decrease 0.8% |
| B. | Increase 2% |
| C. | Increase 0.8% |
| D. | Decrease 2% |
| Answer» D. Decrease 2% | |
| 790. |
Height of the right circular cylinder is 16 cm. If the diameter of its base is 3.5 cm, then what will be the volume of the cylinder? |
| A. | 308 cm3 |
| B. | 616 cm3 |
| C. | 176 cm3 |
| D. | 154 cm3 |
| Answer» E. | |
| 791. |
If the diagonal of a square is 15 cm, then what is the area (in cm2) of the square? |
| A. | 112.5 |
| B. | 250 |
| C. | 15√2 |
| D. | 30√2 |
| Answer» B. 250 | |
| 792. |
Everyday Manik runs 8 rounds of a square field with each side measuring 350 m. How much distance does he run everyday? |
| A. | 11 km 200 m |
| B. | 11 km 800 m |
| C. | 12 km 400 m |
| D. | 12 km 80 m |
| Answer» B. 11 km 800 m | |
| 793. |
A square field of side 60 m and a rectangular field of length 80 m have the same perimeter. Then which of the following is true? |
| A. | Area of the square field = Area of the rectangular field |
| B. | Area of the rectangular field > Area of the square field |
| C. | Area of the square field > Area of the rectangular field |
| D. | The difference between their areas is 1200 m2 |
| Answer» D. The difference between their areas is 1200 m2 | |
| 794. |
If the numerical value of the surface area of a sphere is equal to the numerical value of its volume, then the radius of the sphere is - |
| A. | 1 unit |
| B. | 3 units |
| C. | 5 units |
| D. | 10 units |
| Answer» C. 5 units | |
| 795. |
In the given figure D, E, and F are the mid points of the sides of the Δ ABC and P, Q and R are the mid points of the sides of Δ DEF. What is the ratio of the areas of Δ QRE and quadrilateral BDFE? |
| A. | 1 ∶ 5 |
| B. | 1 ∶ 6 |
| C. | 1 ∶ 8 |
| D. | 1 ∶ 16 |
| Answer» D. 1 ∶ 16 | |
| 796. |
A cylinder 84 cm long is made of steel. Its external and internal diameters are 10 cm and 8 cm respectively. What is the volume of the steel in the cylinder (in 10-3 m3 and correct up to three decimal places)? |
| A. | 9.504 |
| B. | 4.752 |
| C. | 2.376 |
| D. | 2.112 |
| Answer» D. 2.112 | |
| 797. |
Find the circumference (in cm) of a circle of radius 10.5 cm. |
| A. | 84 |
| B. | 35 |
| C. | 70 |
| D. | 66 |
| Answer» E. | |
| 798. |
In a right-angled triangle, the hypotenuse is 65 cm and one of its sides is equal to 16 cm. What is its area (in cm2)? |
| A. | 450 |
| B. | 324 |
| C. | 360 |
| D. | 504 |
| Answer» E. | |
| 799. |
In a room whose floor is a square of side 10 m, an equilateral triangular table of side 2 m is placed. Four book shelves of size 4 m × 1 m × 9 m are also placed in the room. If the half of the rest of the area in the room is to be carpeted at the rate of Rs 100 per square meter, what is the cost of carpeting (approximately)? |
| A. | Rs. 7600 |
| B. | Rs. 5635 |
| C. | Rs. 4113 |
| D. | Rs. 3200 |
| Answer» D. Rs. 3200 | |
| 800. |
ABCD is a square and E is a point inside square such that CDE forms an equilateral triangle then ∠AED is ___. |
| A. | 45∘ |
| B. | 60∘ |
| C. | 75∘ |
| D. | 90∘ |
| Answer» D. 90∘ | |