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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.
| 701. |
If the side of a cube is increased by 50%, then the total surface area is increased by: |
| A. | 50% |
| B. | 75% |
| C. | 100% |
| D. | 125% |
| Answer» E. | |
| 702. |
In a right-angled triangle, the longest side is 1 cm longer than the middle side and the middle side is 49 cm longer than the shortest side. Calculate the length of the shortest side.A. 11 cmB. 10 cmC. 21 cmD. 60 cm |
| A. | A |
| B. | B |
| C. | D |
| D. | C |
| Answer» B. B | |
| 703. |
A circular disc of area 0.64 π m2 roll down a length of 1.408 km. The number of revolutions it makes is: (take π = 22/7) |
| A. | 180 |
| B. | 140 |
| C. | 360 |
| D. | 280 |
| Answer» E. | |
| 704. |
A cuboidal tank has 25000 litres of water. If the depth of the cuboid is 1/5 of its length and breadth is 1/8 of its length, then the length of the tank is: |
| A. | 12 m |
| B. | 10 m |
| C. | 15 m |
| D. | 18 m |
| Answer» C. 15 m | |
| 705. |
In the given figure, PQR is a quadrant whose radius is 7 cm. A circle is inscribed in the quadrant as shown in the figure. What is the area (in cm2) of the circle? |
| A. | 385 - 221√2 |
| B. | 308 - 154√2 |
| C. | 154 - 77√2 |
| D. | 462 - 308√2 |
| Answer» E. | |
| 706. |
If the circumference of a circle is 88 cm, then what must be its area (in cm2)? |
| A. | 1232 |
| B. | 616 |
| C. | 704 |
| D. | 1408 |
| Answer» C. 704 | |
| 707. |
ABCD is a trapezium in which AB।।DC and its diagonals intersect at P. If AP = (3x – 1) cm, PC = (5x – 3) cm, BP = (2x + 1) cm and PD = (6x – 5) cm, then the length of DB is: |
| A. | 10 cm |
| B. | 16 cm |
| C. | 12 cm |
| D. | 14 cm |
| Answer» D. 14 cm | |
| 708. |
If the area of a semi-circle is 1925 cm2, then find its radius (in cm). |
| A. | 70 |
| B. | 31 |
| C. | 62 |
| D. | 35 |
| Answer» E. | |
| 709. |
If the radius of the base of a cone is doubled, and the volume of the new cone is three times the volume of the original cone, then what will be the ratio of the height of the original cone to that of the new cone? |
| A. | 1 : 3 |
| B. | 4 : 3 |
| C. | 9 : 4 |
| D. | 2 : 9 |
| Answer» C. 9 : 4 | |
| 710. |
Radius of hemisphere is twice that of a sphere. What is the ratio of total surface area of hemisphere and sphere? |
| A. | 3 : 1 |
| B. | 12 : 1 |
| C. | 4 : 1 |
| D. | 6 : 1 |
| Answer» B. 12 : 1 | |
| 711. |
If the diagonal and the area of a rectangle are 29 meters and 420 square meters respectively, what is the length of the rectangle? |
| A. | 22 meter |
| B. | 21 meter |
| C. | 18 meter |
| D. | 25 meter |
| Answer» C. 18 meter | |
| 712. |
A right circular solid cylinder has radius of base 7 cm and height is 28 cm. It is melted to form a cuboid such that the ratio of its side is 2 ∶ 3 ∶ 6. What is the total surface area (in cm2) cuboid? |
| A. | 72 × (1078/9)2/3 |
| B. | 36 × (2156/9)2/3 |
| C. | 72 × (2156/9)2/3 |
| D. | 36 × (1078/3)2/3 |
| Answer» B. 36 × (2156/9)2/3 | |
| 713. |
How many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall of 8 m × 6 m × 22.5 cm? |
| A. | 5600 |
| B. | 6000 |
| C. | 6400 |
| D. | 7200 |
| Answer» D. 7200 | |
| 714. |
If the edge of a cube is increased by 2 cm, the volume will increase by 488 cm3. What then will be the length of each edge of the cube? |
| A. | 8 cm |
| B. | 6 cm |
| C. | 9 cm |
| D. | 7 cm |
| Answer» B. 6 cm | |
| 715. |
If the radius of a circle is decreased by 30%, then what is the decrease in the area of the circle? |
| A. | 51 |
| B. | 60 |
| C. | 69 |
| D. | 30 |
| Answer» B. 60 | |
| 716. |
D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 3 and area of ΔABC is 100 sq cm, what is the area (in sq cm) of quadrilateral BDEC? |
| A. | 84 |
| B. | 16 |
| C. | 25 |
| D. | 75 |
| Answer» B. 16 | |
| 717. |
If the area of a square is 256 m2 , find the perimeter of this square. |
| A. | 16 m |
| B. | 12 m |
| C. | 64 m |
| D. | 32 m |
| Answer» D. 32 m | |
| 718. |
If the perimeter of a triangle is 28 cm and its inradius is 3.5 cm, what is its area? |
| A. | 35 cm2 |
| B. | 42 cm2 |
| C. | 49 cm2 |
| D. | 28 cm2 |
| Answer» D. 28 cm2 | |
| 719. |
A hall is 14 m long and 11 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of the four walls, then the volume (in m3) of the hall is: |
| A. | 975.32 |
| B. | 948.64 |
| C. | 1000 |
| D. | 864.64 |
| Answer» C. 1000 | |
| 720. |
Find the perimeter of rectangle having a length of 22 cm and breadth of 20 cm. |
| A. | 61 cm |
| B. | 76 cm |
| C. | 64 cm |
| D. | 84 cm |
| Answer» E. | |
| 721. |
A bucket is in the form of a truncated cone. The diameters of the base and top of the bucket are 6 cm and 12 cm respectively. If the height of the bucket is 7 cm, what is the capacity of the bucket? |
| A. | 535 cm3 |
| B. | 462 cm3 |
| C. | 234 cm3 |
| D. | 166 cm3 |
| Answer» C. 234 cm3 | |
| 722. |
A hemispherical tank fill of water is emptied by a pipe at the rate of 7.7 litres per second. How much time (in hours) will it take to empty \(\frac{2}{3}\)part of the tank, if the internal radius of the rank is 10.5 m? |
| A. | \(\frac{185}{3}\) |
| B. | \(\frac{175}{3}\) |
| C. | \(\frac{185}{6}\) |
| D. | \(\frac{175}{2}\) |
| Answer» C. \(\frac{185}{6}\) | |
| 723. |
A triangle has three sides as 5 cm, 8 cm and 9 cm. What is the area of that triangle (approximately)? |
| A. | 20 cm2 |
| B. | 15 cm2 |
| C. | 23 cm2 |
| D. | 18 cm2 |
| Answer» B. 15 cm2 | |
| 724. |
A field in the shape of a trapezium, whose parallel sides measures 250 m and 110 m and non-parallel sides measure 150 m and 130 m. What is the area (in hectares) of the field? |
| A. | 2.16 |
| B. | 2.12 |
| C. | 2.54 |
| D. | 3.24 |
| Answer» B. 2.12 | |
| 725. |
Length and breadth of a rectangular field is 130 m and 90 m, respectively. Inside it, a road of uniform width 15 m is left on all the sides. In the remaining part, a park is made. What is the area of the road? |
| A. | 5500 m2 |
| B. | 5800 m2 |
| C. | 5600 m2 |
| D. | 5700 m2 |
| E. | None of these |
| Answer» E. None of these | |
| 726. |
Find the area (in cm²) of a semi-circle of radius 14 cm. |
| A. | 308 |
| B. | 616 |
| C. | 160 |
| D. | 320 |
| Answer» B. 616 | |
| 727. |
Find the area of a circle made of 1 mtre wire? |
| A. | 796 cm2 |
| B. | 795.45 cm2 |
| C. | 799 cm2 |
| D. | 798 cm2 |
| Answer» C. 799 cm2 | |
| 728. |
Find the height of a cuboid whose volume is 330 cm3 and the base area is 15 cm2. |
| A. | 24 cm |
| B. | 21 cm |
| C. | 22 cm |
| D. | 19 cm |
| Answer» D. 19 cm | |
| 729. |
A right circular cylinder of height 7 cm and base diameter 6 cm is made from a cuboidal block of wood of dimensions 10 cm × 15 cm × 2 cm. Find the percentage of wood wasted. |
| A. | 60% |
| B. | 44% |
| C. | 40% |
| D. | 34% |
| Answer» E. | |
| 730. |
If the radius of the circumcircle of an equilateral triangle is 8 cm, then the measure of radius of its incircle is: |
| A. | 8 cm |
| B. | 4 cm |
| C. | 16 cm |
| D. | 12 cm |
| Answer» C. 16 cm | |
| 731. |
Edges of a cuboid are in the ratio 1 : 2 : 3. Its surface area is 88 cm2. What is its volume? |
| A. | 120 cm3 |
| B. | 48 cm3 |
| C. | 24 cm3 |
| D. | 64 cm3 |
| Answer» C. 24 cm3 | |
| 732. |
In the equilateral triangle ABC given below, AD = DB and AD = EC. If l is the length of a side of the triangle, then what is the area of the shaded region? |
| A. | 3√3l2/16 |
| B. | 3l2/16 |
| C. | 3√3l2/32 |
| D. | 3l2/32 |
| Answer» B. 3l2/16 | |
| 733. |
A hollow cube is formed by joining six identical squares. A rectangular cello tape of length 4 cm and breadth 0.5 cm is used for joining each pair of edges. What is the total area of the cello tape used? |
| A. | 12 square cm |
| B. | 24 square cm |
| C. | 36 square cm |
| D. | 48 square cm |
| Answer» C. 36 square cm | |
| 734. |
A ball of silver 4 cm in diameter is covered with gold. If the volume of the gold and silver are equal, then the thickness of gold is (Take 21/3 = 1.2595) |
| A. | 0.5038 cm |
| B. | 0.519 cm |
| C. | 1.038 cm |
| D. | 2 cm |
| Answer» C. 1.038 cm | |
| 735. |
If the height of a given cone becomes four times and the radius of the base becomes twice, then what is the ratio of the volume of the given cone and the volume of the new cone |
| A. | 1 : 4 |
| B. | 1 : 8 |
| C. | 1 : 16 |
| D. | 1 : 32 |
| Answer» D. 1 : 32 | |
| 736. |
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 m2 then the width of the road is |
| A. | 3 m |
| B. | 5 m |
| C. | 6 m |
| D. | 2 m |
| Answer» B. 5 m | |
| 737. |
A cube of the maximum possible volume is removed from a solid wooden sphere of radius 6 cm. The side of the cube is: |
| A. | 3√3 cm |
| B. | 4√3 cm |
| C. | 2√3 cm |
| D. | 6√3 cm |
| Answer» C. 2√3 cm | |
| 738. |
A cow is tied with a 7 m long rope at each corner of a triangular field with sides of 26 m, 28 m and 30 m. Accordingly, how much m2 will be the area of the field left by the grazing of those three cows? |
| A. | 336 |
| B. | 259 |
| C. | 154 |
| D. | 77 |
| Answer» C. 154 | |
| 739. |
A river 3 m deep and 40 m wide is flowing at the rate of 2 km per hour. How much water will fall into sea in a minute? |
| A. | 4,00,000 m3 |
| B. | 40,00,000 m3 |
| C. | 40,000 m3 |
| D. | 4,000 m3 |
| Answer» E. | |
| 740. |
A cuboid with sides 6 cm, 9 cm and 32 cm is melted to form a new cube. What is the ratio of the total surface area of the cuboid and that of cube? |
| A. | 93 : 71 |
| B. | 108 : 113 |
| C. | 297 : 220 |
| D. | 89 : 72 |
| Answer» E. | |
| 741. |
Area of 4 walls of a cuboid is 816 sq. cm, its length is 18 cm and height is 12 cm. What is its breadth (in cm)? |
| A. | 14 |
| B. | 12 |
| C. | 16 |
| D. | 10 |
| Answer» D. 10 | |
| 742. |
A sphere of radius 5 cm is melted and recast into spheres of radius 2 cm each. How many such complete spheres can be made? |
| A. | 18 |
| B. | 12 |
| C. | 19 |
| D. | 15 |
| Answer» E. | |
| 743. |
If the lengths of the two parallel sides of a trapezium are 5 cm and 7 cm and its area is 24 cm2. Find the distance between its parallel sides (in cm). |
| A. | 2 |
| B. | 4 |
| C. | 8 |
| D. | 6 |
| Answer» C. 8 | |
| 744. |
A metallic sphere of radius 4 cm is melted and cast into small spherical balls, each of diameter 0.4 cm. The number of small balls will be: |
| A. | 1000 |
| B. | 8000 |
| C. | 4000 |
| D. | 2000 |
| Answer» C. 4000 | |
| 745. |
Find the percentage of material wasted in converting a cylinder of base diameter 10 cm and height 20 cm into a cone of equal base, but double the height of the cylinder. |
| A. | 25% |
| B. | 33.3% |
| C. | 20% |
| D. | 35% |
| Answer» C. 20% | |
| 746. |
From a solid cylinder whose height is 8 cm and base radius 6 cm, a conical cavity of height of height 8 cm and base of radius 6 cm is formed by hollowing out. What is the inner surface area of the cavity? |
| A. | 6π cm2 |
| B. | 8π cm2 |
| C. | 10π cm2 |
| D. | 60π cm2 |
| Answer» E. | |
| 747. |
A circle circumscribes a rectangle whose sides are in the ratio of 4 ∶ 3. If the area of the rectangle is 192 cm2, then the perimeter (in cm) of the circle is: |
| A. | 20 π |
| B. | 10 π |
| C. | 12 π |
| D. | 15 π |
| Answer» B. 10 π | |
| 748. |
Let x, y be the volumes. m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and the mass of Q is two times that of P. Let u = m/x and v = n/y. Which one of the following is correct? |
| A. | u = 4v |
| B. | u = 2v |
| C. | v = u |
| D. | v = 4u |
| Answer» B. u = 2v | |
| 749. |
Find the area of a square inscribed in a circle of radius 8 cm. |
| A. | 144 cm2 |
| B. | 136 cm2 |
| C. | 64 cm2 |
| D. | 128 cm2 |
| Answer» E. | |
| 750. |
PQR is an isosceles triangle with such that PQ = PR = 15 cm and QR = 24 cm. PS is a perpendicular bisector of the base QR. What is the length (in cm) of PS? |
| A. | 18 |
| B. | 6 |
| C. | 12 |
| D. | 9 |
| Answer» E. | |