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.
| 501. |
In the given figure, PQR is an equilateral triangle with side as 12 cm. S and T are the mid points of the sides PQ and PR respectively. What is the area (in cm2) of the shaded region? |
| A. | 10√3 |
| B. | 12√3 |
| C. | 9√3 |
| D. | 14√3 |
| Answer» C. 9√3 | |
| 502. |
In ΔABC, ∠B = 90°, AB = 5 cm and BC = 12 cm the bisector of ∠A meets BC at D. What is the length of AD? |
| A. | 2√13 cm |
| B. | \(\frac{2}{3}\sqrt {13}\) cm |
| C. | \(\frac{4}{3}\sqrt {13}\) cm |
| D. | \(\frac{{5\sqrt {13} }}{3}\) cm |
| Answer» E. | |
| 503. |
In the given figure, ABC is a right-angle triangle, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincided with the vertex of triangle. What is the maximum possible area (in cm2) of the square? |
| A. | 1296/49 |
| B. | 25 |
| C. | 1225/36 |
| D. | 1225/64 |
| Answer» B. 25 | |
| 504. |
ABCD is a trapezium, where AB is parallel to DC. If AB = 4 cm, BC = 3 cm, CD = 7 cm and DA = 2 cm, then what is the area of the trapezium? |
| A. | \(22\sqrt {\frac{2}{3}} \;c{m^2}\) |
| B. | \(22\sqrt {\frac{3}{2}} \;c{m^2}\) |
| C. | \(22\sqrt 3 \;c{m^2}\) |
| D. | \(\frac{{22\sqrt 2 }}{3}\;c{m^2}\) |
| Answer» E. | |
| 505. |
A field is in the shape of a trapezium whose parallel sides are 200 m and 400 m long. Whereas each of other two sides is 260 m long. What is the area (in m2) of the field? |
| A. | 60000 |
| B. | 48000 |
| C. | 72000 |
| D. | 52000 |
| Answer» D. 52000 | |
| 506. |
From a square plate with each side 7 cm. squares of area 0.25 cm2 are cut out at each corner and the remaining plate is folded along the cuts to form a cuboid. The volume of this open-top cuboid will be ____ cm3 |
| A. | 21 |
| B. | 16 |
| C. | 18 |
| D. | 20 |
| Answer» D. 20 | |
| 507. |
ΔPQR is a right-angled at Q. If PQ = 6 cm, PR = 10 cm, then QR is equal to∶ |
| A. | 5 cm |
| B. | 8 cm |
| C. | 7 cm |
| D. | 9 cm |
| Answer» C. 7 cm | |
| 508. |
If the heights of two triangles are in the ratio 3 : 2, and the bases are in the ratio 2 : 5, then what is the ratio of the areas of the two triangles? |
| A. | 3 : 2 |
| B. | 3 : 4 |
| C. | 15 : 4 |
| D. | 3 : 5 |
| Answer» E. | |
| 509. |
If the diagonals of two squares are in the ratio of 1 : 3, then what is the ratio of their areas? |
| A. | 1 : 6 |
| B. | 1 : 3 |
| C. | 6 : 1 |
| D. | 1 : 9 |
| Answer» E. | |
| 510. |
A solid metallic sphere of radius 8 cm is melted and drawn into a wire of uniform cross-section. If the length of the wire is 24 m, then its radius (in mm) is∶ |
| A. | \(6\frac{2}{3}\) |
| B. | 6 |
| C. | 5 |
| D. | \(5\frac{1}{3}\) |
| Answer» E. | |
| 511. |
Area of circle inscribed in a square of side 4 cm is |
| A. | π cm2 |
| B. | 2π cm2 |
| C. | 3π cm2 |
| D. | 4π cm2 |
| Answer» E. | |
| 512. |
Find the maximum area of a square field which is surrounded by a rope of 400 m.A. 5000 m2B. 6250 m2C. 4000 m2D. 10000 m2 |
| A. | A |
| B. | D |
| C. | C |
| D. | B |
| Answer» C. C | |
| 513. |
If the perimeter of a semicircle is 108 cm, then find the area (in cm2) of the circle. |
| A. | 1386 |
| B. | 512 |
| C. | 695 |
| D. | 1024 |
| Answer» B. 512 | |
| 514. |
A spherical solid lead ball of radius 9 cm is melted and small solid lead balls of radius 3 mm are made. What is the number of small balls made? |
| A. | 27,000 |
| B. | 15,000 |
| C. | 25,000 |
| D. | 30,000 |
| Answer» B. 15,000 | |
| 515. |
6 cubes, each of edge 4 cm, are joined end to end what is the total surface are of the resulting cuboid? |
| A. | 496 cm2 |
| B. | 416 cm2 |
| C. | 576 cm2 |
| D. | 208 cm2 |
| Answer» C. 576 cm2 | |
| 516. |
A solid piece of iron in the form of a cuboid of dimensions 24.5 cm × 16.5 cm × 12 cm, is melted to form a solid sphere.What is the radius (in cm) of the sphere? (Use π = \(\frac{22}{7}\)) |
| A. | 10.5 |
| B. | 12.5 |
| C. | 11 |
| D. | 8 |
| Answer» B. 12.5 | |
| 517. |
In a circle of radius 5 cm, AB and AC are two chords such that AB = AC = 8 cm. What is the length of chord BC? |
| A. | 9 cm |
| B. | 9.2 cm |
| C. | 9.6 cm |
| D. | 9.8 cm |
| Answer» D. 9.8 cm | |
| 518. |
In ∆ABC, D and E are the points on sides AC and AB, respectively such that ∠ADE = ∠B = If AE = 8 cm, CD = 3 cm, DE = 6 cm and BC = 9 cm, then AD is equal to: |
| A. | 8 cm |
| B. | 6 cm |
| C. | 9 cm |
| D. | 7.5 cm |
| Answer» D. 7.5 cm | |
| 519. |
If the perimeter of a rectangle is 10 cm and the area is 4 cm2, then its length is |
| A. | 6 cm |
| B. | 5 cm |
| C. | 4.5 cm |
| D. | 4 cm |
| Answer» E. | |
| 520. |
Let A and B be two cylinders such that the capacity of A is the same as the capacity of B. The ratio of the diameters of A and B is 1 ∶ 4. What is the ratio of the heights of A and B? |
| A. | 16 : 3 |
| B. | 16 : 1 |
| C. | 1 : 16 |
| D. | 3 : 16 |
| Answer» C. 1 : 16 | |
| 521. |
Find the curved surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm. |
| A. | 594 |
| B. | 530 |
| C. | 472 |
| D. | 660 |
| Answer» E. | |
| 522. |
In ΔABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm, then ∠B is |
| A. | 120° |
| B. | 60° |
| C. | 90° |
| D. | 45° |
| Answer» D. 45° | |
| 523. |
If the area of a semi-circle is 308 cm2, then find its radius (in cm). |
| A. | 28 |
| B. | 10 |
| C. | 20 |
| D. | 14 |
| Answer» E. | |
| 524. |
A wire, in the form of a circle, encloses an area 3118.5 cm2. It is now bent to form a rectangle whose length and breadth are very nearly in the ratio 7 : 4. The length of the rectangle, in cm, is : (Take π = 22/7) |
| A. | 56 |
| B. | 47 |
| C. | 70 |
| D. | 63 |
| Answer» E. | |
| 525. |
ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the ΔECD? |
| A. | 18√3 |
| B. | 24√3 |
| C. | 36√3 |
| D. | 42√3 |
| Answer» D. 42√3 | |
| 526. |
Find the volume (in cm3) of a hemisphere of diameter 28 cm. |
| A. | 4789.67 |
| B. | 3675 |
| C. | 2732 |
| D. | 5749.33 |
| Answer» E. | |
| 527. |
A hemispherical bowl of internal diameter 36 cm is full of a liquid. This liquid is to be filled into cylindrical bottles each of radius 3 cm and height 12 cm. How many such bottles are required to empty the bowl? |
| A. | 27 |
| B. | 36 |
| C. | 54 |
| D. | 72 |
| Answer» C. 54 | |
| 528. |
In the diagram alongside, M and N are points on the \(\overline {PQ}\) and \(\overline {SP}\) of the rectangle PQRS respectively. If QR = 6 cm, RS = 7 cm, SN= 2 cm and MQ = 4 cm, then what is the area in cm2 of Δ MNR? |
| A. | 20 |
| B. | 17 |
| C. | 25 |
| D. | 15 |
| Answer» C. 25 | |
| 529. |
How many iron balls, each of radius 1 cm, can be made from a sphere whose radius is 8 cm? |
| A. | 64 |
| B. | 256 |
| C. | 512 |
| D. | 124 |
| Answer» D. 124 | |
| 530. |
Parallel sides of a trapezium are 14 cm and 35 cm and the area is 1176 cm2. What is the value of the distance (in cm) between parallel sides? |
| A. | 72 |
| B. | 96 |
| C. | 24 |
| D. | 48 |
| Answer» E. | |
| 531. |
If a cubical container of length, breadth and height each of 10 cm can contain exactly 1 litre of water, then a spherical container of radius 10.5 cm can contain |
| A. | not more than 4 liters of water |
| B. | more than 4 liters but less than 4.5 liters of water |
| C. | more than 4.5 liters but less than 5 liters of water |
| D. | more than 5 liters of water |
| Answer» D. more than 5 liters of water | |
| 532. |
A cylindrical metal rod, whose height is 8 times its radius, is melted and cast into spherical balls, each being half the radius of the cylinder. The number of balls is∶ |
| A. | 24 |
| B. | 30 |
| C. | 48 |
| D. | 64 |
| Answer» D. 64 | |
| 533. |
Let P, Q, R be the mid-point of the sides AB, BC & CA respectively of a triangle ABC. If the area of the triangle ABC is 5 square units, then the area of the triangle PQR |
| A. | 5/3 square units |
| B. | 5/2√2 square units |
| C. | 5/4 square units |
| D. | 1 square units |
| Answer» D. 1 square units | |
| 534. |
If the surface area of cube is 384 cm2, then what is the volume (in cm3) of the cube? |
| A. | 512 |
| B. | 356 |
| C. | 484 |
| D. | 686 |
| Answer» B. 356 | |
| 535. |
Find the volume of a right circular cone formed by joining the edges of a sector of a circle of radius 4 cm where the angle of the sector is 90°. |
| A. | \(\dfrac{2{\sqrt{3}}}{\pi}\) cm3 |
| B. | \(\dfrac{\pi{\sqrt{5}}}{\sqrt{3}}\) cm3 |
| C. | \(\dfrac{12{\sqrt{3}}}{\pi}\) cm3 |
| D. | \(\dfrac{2{\sqrt{2}}\pi}{3}\) cm3 |
| Answer» C. \(\dfrac{12{\sqrt{3}}}{\pi}\) cm3 | |
| 536. |
A solid piece of iron in the form of a cuboid of dimensions 49 cm × 33 cm × 24 cm, is moulded to form a solid sphere. The radius of the sphere is |
| A. | 21 cm |
| B. | 23 cm |
| C. | 25 cm |
| D. | 19 cm |
| Answer» B. 23 cm | |
| 537. |
In a right-angled triangle, the hypotenuse is 2 cm longer than the perpendicular which is 2 cm longer than the base. Calculate the length of the base.A) 6 cmB) 9 cmC) 10 cmD) 8 cm |
| A. | C |
| B. | B |
| C. | A |
| D. | D |
| Answer» D. D | |
| 538. |
If the radius of a circle is increased by 6 % then area of circle will be increased by - |
| A. | 12.64 % |
| B. | 12.36 % |
| C. | 12 % |
| D. | 36 % |
| Answer» C. 12 % | |
| 539. |
A sphere of radius 5 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?(approx) |
| A. | 15 |
| B. | 16 |
| C. | 17 |
| D. | 18 |
| Answer» B. 16 | |
| 540. |
In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR and DES are equilateral triangles. What is the area (in cm2) of the shaded region? |
| A. | 24√3 |
| B. | 18√3 |
| C. | 72√3 |
| D. | 36√3 |
| Answer» D. 36√3 | |
| 541. |
If the perimeter of a quadrant of a circle is 11 feet, find the radius of the circle. |
| A. | 3.08 feet |
| B. | 7 feet |
| C. | 14 feet |
| D. | 21 feet |
| Answer» B. 7 feet | |
| 542. |
If length and breadth of a rectangle are increased and decreased by 10 percent respectively, then what is the percentage change in the area of rectangle? |
| A. | No change |
| B. | 1 percent |
| C. | 0.1 percent |
| D. | 10 percent |
| Answer» C. 0.1 percent | |
| 543. |
If the area of an equilateral triangle is 36√3 m2, then what is the value (in metres) of its height? |
| A. | 6 |
| B. | 6√3 |
| C. | 18 |
| D. | 3√3 |
| Answer» C. 18 | |
| 544. |
A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on a circle of radius r cm. The ratio of the area of the square and the hexagon is |
| A. | 3 : 4 |
| B. | 4 : 3√3 |
| C. | √2 : √3 |
| D. | 1 : √2 |
| Answer» C. √2 : √3 | |
| 545. |
How many cubes of side 3 cm can be separated from a cube of side 15 cm? |
| A. | 25 |
| B. | 27 |
| C. | 125 |
| D. | 144 |
| Answer» D. 144 | |
| 546. |
A cube and a cuboid have the same volume. The dimensions of the cuboid are in ratio of 1 : 2 : 4. If the difference between the cost of polishing the cuboid and cube at the rate of Rs. 5 per m2 is Rs. 80, then their volumes are - |
| A. | 64 m3 |
| B. | 128 m3 |
| C. | 256 m3 |
| D. | 512 m3 |
| Answer» B. 128 m3 | |
| 547. |
A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 cm. Then the number of bottles necessary to empty the bowl is |
| A. | 18 |
| B. | 45 |
| C. | 27 |
| D. | 54 |
| Answer» E. | |
| 548. |
If the length of the diagonal of a square is 14 cm, then what will be area of the square? |
| A. | 156 cm2 |
| B. | 196 cm2 |
| C. | 98 cm2 |
| D. | 40 cm2 |
| Answer» D. 40 cm2 | |
| 549. |
A solid spherical ball of iron with radius 6 cm is melted and recast in to 3 solid spherical balls. The radii of the two of the balls are 3 cm and 4 cm respectively, then the diameter of the 3rd ball is |
| A. | 10 cm |
| B. | 9 cm |
| C. | 12 cm |
| D. | 9.5 cm |
| Answer» B. 9 cm | |
| 550. |
How many squares of each side 2 cm can be drawn on a paper sheet of the length 8 cm and the breadth 6 cm? |
| A. | 24 |
| B. | 18 |
| C. | 12 |
| D. | 8 |
| Answer» D. 8 | |