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.
| 451. |
In triangle PQR, PS is perpendicular to QR and S divides QR in the ratio of 3 ∶ 1 internally. If PQ = 21 and PR = 9, find QR. |
| A. | 18√5 |
| B. | 16√5 |
| C. | 15√5 |
| D. | 12√5 |
| Answer» E. | |
| 452. |
A solid sphere of radius 3 cm is melted to form a hollow right circular cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tube is |
| A. | 1 cm |
| B. | 9 cm |
| C. | 0.6 cm |
| D. | 1.5 cm |
| Answer» B. 9 cm | |
| 453. |
In the given figure, area of isosceles triangle PQT is 128 cm2 and PQ = 4 PS, PT||SR, then what is the area (in cm2) of the quadrilateral PTRS? |
| A. | 80 |
| B. | 64 |
| C. | 124 |
| D. | 72 |
| Answer» C. 124 | |
| 454. |
A solid metallic cylinder of base radius 4 cm and height \(5\frac{1}{3}\) cm is melted and recast into a sphere. What is the surface area of the sphere, in cm? |
| A. | 80 π |
| B. | 64 π |
| C. | 40 π |
| D. | 96 π |
| Answer» C. 40 π | |
| 455. |
One of the internal angle of a rhombus is 60° and length of its shorter diagonal is 8 cm. What is the area of the rhombus? |
| A. | 64√3 cm2 |
| B. | 32√2 cm2 |
| C. | 64√2 cm2 |
| D. | 32√3 cm2 |
| Answer» E. | |
| 456. |
Find the volume (in cm3) of a sphere of diameter 21 cm. |
| A. | 4851 |
| B. | 3628 |
| C. | 3071 |
| D. | 3724 |
| Answer» B. 3628 | |
| 457. |
How long will it take for a boy to run around a square field of area 25 hectare at the speed of 10 km/h? |
| A. | 12 min |
| B. | 14 min |
| C. | 10 min |
| D. | 8 min |
| Answer» B. 14 min | |
| 458. |
If an equilateral triangle has side 12 cm, then what is the difference (in cm) between the circumradius and in-radius? |
| A. | 2√2 |
| B. | 3√2 |
| C. | 2√3 |
| D. | 3√3 |
| Answer» D. 3√3 | |
| 459. |
Assume that the area of a triangle ABC is equal to 24 sq units. Find the area (in sq. units) of the triangle formed by joining the midpoints of side AB, BC, CA. |
| A. | 6 |
| B. | 12 |
| C. | 18 |
| D. | 24 |
| Answer» B. 12 | |
| 460. |
If the lengths of the two parallel sides of a trapezium are 4 cm and 6 cm and its area is 25 cm². Find the distance between its parallel sides (in cm). |
| A. | 2.5 |
| B. | 10 |
| C. | 5 |
| D. | 7.5 |
| Answer» D. 7.5 | |
| 461. |
In the adjoining figure, if AB + AC = 5 AD and AC - AD = 8, then the area of the rectangle ABCD is |
| A. | 36 sq. unit |
| B. | 50 sq. unit |
| C. | 60 sq. unit |
| D. | 82 sq. unit |
| Answer» D. 82 sq. unit | |
| 462. |
If a cuboid has l = 24 cm, b = 16 cm, h = 7.5 cm, its lateral surface area is: |
| A. | 720 cn2 |
| B. | 2880 cm2 |
| C. | 600 cm2 |
| D. | 1440 cm2 |
| Answer» D. 1440 cm2 | |
| 463. |
If the perimeter of a right-angled triangle is 30 cm and the hypotenuse is 13 cm, then what is the area of the triangle? |
| A. | 24 cm2 |
| B. | 27 cm2 |
| C. | 30 cm2 |
| D. | 36 cm2 |
| Answer» D. 36 cm2 | |
| 464. |
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity 1: If the sum of the circumference and the radius of a circle is 102 cm then find the quantity of radius of the same circle.Quantity 2: If the perimeter of a rectangle is 42 cm and the length of the rectangle is twice the width then find the length of the rectangle. |
| A. | Quantity 1 > Quantity 2 |
| B. | Quantity 1 < Quantity 2 |
| C. | Quantity 1 ≥ Quantity 2 |
| D. | Quantity 1 ≤ Quantity 2 |
| E. | Either Quantity 1 = Quantity 2 or no relation can be established. |
| Answer» F. | |
| 465. |
In a right angled triangle, the square of the hypotenuse is twice the product of the other sides. The triangle is: |
| A. | None of the above |
| B. | Equilateral |
| C. | Isosceles |
| D. | Of angles 30°, 60° and 90° |
| Answer» D. Of angles 30°, 60° and 90° | |
| 466. |
A ball of wax of diameter 30 cm is melted to make candles 5 cm long and 2 cm radius. How many such candles can be made? |
| A. | 225 |
| B. | 900 |
| C. | 450 |
| D. | 180 |
| Answer» B. 900 | |
| 467. |
ABCDEF is a regular hexagon. What is the ratio of the area of triangle ACE and the area of the triangle AEF? |
| A. | 6 ∶ 1 |
| B. | 4 ∶ 1 |
| C. | 3 ∶ 1 |
| D. | 5 ∶ 1 |
| Answer» D. 5 ∶ 1 | |
| 468. |
A cylinder of height 4 cm and base radius 3 cm is melted to form a sphere. The radius of sphere is: |
| A. | 3 cm |
| B. | 3.5 cm |
| C. | 4 cm |
| D. | 2.5 cm |
| Answer» B. 3.5 cm | |
| 469. |
If the area of a circle is 9π sq. cm then its circumference is |
| A. | 9 cm |
| B. | 6π cm |
| C. | 3π cm |
| D. | 6 cm |
| Answer» C. 3π cm | |
| 470. |
D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ΔADE is 8 cm sq, what is the area (in sq cm) of quadrilateral BDEC? |
| A. | 98 |
| B. | 94 |
| C. | 90 |
| D. | 86 |
| Answer» D. 86 | |
| 471. |
If an arc of a circle of radius 6 cm subtends a central angle measuring 30°, then which one of the following is an approximate length of the arc? |
| A. | 3.14 cm |
| B. | 2.15 cm |
| C. | 2.14 cm |
| D. | 2 cm |
| Answer» B. 2.15 cm | |
| 472. |
In the given figure, four identical semicircles are drawn in a quadrant. XA = 7 cm. What is the area (in cm2) of shaded region? |
| A. | 70 |
| B. | 140 |
| C. | 77 |
| D. | 84 |
| Answer» E. | |
| 473. |
A wheel makes 4000 revolution is covering a distance of 60 km. The radius of the wheel is: |
| A. | 8 m |
| B. | 8.25 m |
| C. | 4.68 m |
| D. | 2.39 m |
| Answer» E. | |
| 474. |
A conical vessel whose internal base radius is 18 cm and height 60 cm are full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with an internal radius of 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is: |
| A. | 30.2 cm |
| B. | 28.8 cm |
| C. | 27 cm |
| D. | 24 cm |
| Answer» C. 27 cm | |
| 475. |
In the given figure, E and F are the centres of two identical circles. What is the ratio of area of triangle AOB to the area of triangle DOC? |
| A. | 1 ∶ 3 |
| B. | 1 ∶ 9 |
| C. | 1 ∶ 8 |
| D. | 1 ∶ 4 |
| Answer» C. 1 ∶ 8 | |
| 476. |
Find the area of the sector of a circle with a radius of 2 cm and a central angle of 30°. |
| A. | 2.237 cm2 |
| B. | 1.233 cm2 |
| C. | 2.134 cm2 |
| D. | 1.047 cm2 |
| Answer» E. | |
| 477. |
A sector of radius 10.5 cm with the central angle 120° is folded to form a cone by joining the two bounding radii of the sector. What is the volume (in cm3)of the cone so formed? |
| A. | \(\;\frac{{343\sqrt 2 }}{{12}}\pi \) |
| B. | \(\frac{{343\sqrt 3 }}{6}\pi \) |
| C. | \(\frac{{343\sqrt 2 }}{6}\pi \) |
| D. | \(\frac{{343\sqrt 3 }}{{12}}\pi \) |
| Answer» B. \(\frac{{343\sqrt 3 }}{6}\pi \) | |
| 478. |
If the radius of a sphere is thrice than that of a hemisphere, then what will be the ratio of their respective volumes? |
| A. | 27 : 1 |
| B. | 9 : 1 |
| C. | 54 : 1 |
| D. | 18 : 1 |
| Answer» D. 18 : 1 | |
| 479. |
A solid metallic sphere of radius 8 cm is converted into a solid right circular cylinder of radius x cm. If the height of the cylinder is 3 times the radius of the sphere, then the value of x is∶ |
| A. | \(5\dfrac{4}{5}\) |
| B. | \(6\dfrac{2}{3}\) |
| C. | \(3\dfrac{1}{5}\) |
| D. | \(5\dfrac{1}{3}\) |
| Answer» E. | |
| 480. |
A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of original sphere and sum of the surface areas of all the balls? |
| A. | 1 : 10 |
| B. | 1 : 5 |
| C. | 5 : 27 |
| D. | 3 : 40 |
| Answer» C. 5 : 27 | |
| 481. |
In ∆PQR, ∠P : ∠Q : ∠R = 1 : 3 : 5, what is the value (in degrees) of ∠R - ∠P? |
| A. | 30 |
| B. | 80 |
| C. | 45 |
| D. | 60 |
| Answer» C. 45 | |
| 482. |
A solid sphere of diameter 12 cm is melted and three shorts are prepared. If the diameters of two shorts are 6 cm and 10 cm respectively, what is the surface area (in cm2) of the third short? |
| A. | 64π |
| B. | 32π |
| C. | 48π |
| D. | 24π |
| Answer» B. 32π | |
| 483. |
A cylindrical well of height 80 metres and radius 7 metres is dug in a field 28 metres long and 22 metres wide. The earth taken out is spread evenly on the field. What is the increase (in metres) in the level of the field? |
| A. | 13.33 |
| B. | 26.66 |
| C. | 18.17 |
| D. | 28.17 |
| Answer» C. 18.17 | |
| 484. |
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours. Each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each colour is required for umbrella? |
| A. | \(10 \sqrt{6} \ \rm sq.cm\) |
| B. | \(5000 \sqrt{6} \ \rm sq.cm\) |
| C. | \(1000 \sqrt{6} \ \rm sq.cm\) |
| D. | \(10000 \sqrt{6} \ \rm sq.cm\) |
| Answer» D. \(10000 \sqrt{6} \ \rm sq.cm\) | |
| 485. |
If the sides of a triangle are in the ratio \(3 : 1 \dfrac{1}{4} : 3 \dfrac{1}{4}\) then the triangle is |
| A. | Right triangle |
| B. | Isosceles triangle |
| C. | Obtuse triangle |
| D. | Acute triangle |
| Answer» B. Isosceles triangle | |
| 486. |
If the perimeter of a rhombus is 80 cm and one of its diagonal is 24 cm, then what is the area (in cm2) of the rhombus? |
| A. | 218 |
| B. | 192 |
| C. | 384 |
| D. | 768 |
| Answer» D. 768 | |
| 487. |
How many lead balls can be made from a cuboid of dimension 18 cm × 33 cm × 24 cm such that the diameter of each ball is 0.6 cm? |
| A. | 1,26,000 |
| B. | 1,20,000 |
| C. | 7,66,000 |
| D. | 1,06,000 |
| Answer» B. 1,20,000 | |
| 488. |
A Cube is made up of 125 one cm. square cubes placed on a table . How many squares are visible only on three sides ? |
| A. | 4 |
| B. | 8 |
| C. | 12 |
| D. | 16 |
| Answer» B. 8 | |
| 489. |
A wall, rectangular in shape, has a perimeter of 46 m. If the length of its diagonal is 17 m, what is the area of the wall? |
| A. | 224 m2 |
| B. | 120 m2 |
| C. | 240 m2 |
| D. | 606 m2 |
| Answer» C. 240 m2 | |
| 490. |
In the figure given below, ABCD is a rectangle and CDE is a semicircle. If the length of the rectangle exceeds its breadth by 7 units and its area is 98 sq. units, then the area (in square units) of the semicircular region CDE is: |
| A. | 7 |
| B. | 49 |
| C. | 57 |
| D. | 77 |
| Answer» E. | |
| 491. |
If one side of a triangle is 7 with its perimeter equal to 18, and area equal to \(\sqrt {108} \), then the other two sides are: |
| A. | 3 and 8 |
| B. | 3.5 and 7.5 |
| C. | 7 and 4 |
| D. | 6 and 5 |
| Answer» B. 3.5 and 7.5 | |
| 492. |
10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) of the bigger sphere? |
| A. | 24 |
| B. | 12 |
| C. | 8 |
| D. | 6 |
| Answer» E. | |
| 493. |
A took 30 s to cross a rectangular field walking diagonally at the rate of 40 m/min and B took the same time to cross the same field along its sides walking at the rate of 56 m/min. The area of the field is: |
| A. | 154 metre square |
| B. | 172 metre square |
| C. | 132 metre square |
| D. | 192 metre square |
| Answer» E. | |
| 494. |
A metallic cone of diameter 32 cm and height 9 cm is melted and made into identical sphere each of radius 2 cm. How many such sphere can be made ? |
| A. | 72 |
| B. | 52 |
| C. | 64 |
| D. | 48 |
| Answer» B. 52 | |
| 495. |
Circumference of a circle is 132 cm. What is the perimeter of its sector whose central angle is 135°? |
| A. | 93.5 cm |
| B. | 92.5 cm |
| C. | 101.5 cm |
| D. | 91.5 cm |
| Answer» E. | |
| 496. |
A field is divided into four regions as shown in the given figure. What is the area of the field in square metres? |
| A. | \(6 + \frac{3}{4}\sqrt 5 \) |
| B. | \(5 + \frac{3}{2}\sqrt 3 \) |
| C. | \(9 + \frac{3}{4}\sqrt {15} \) |
| D. | \(7 + 2\sqrt 2 \) |
| Answer» D. \(7 + 2\sqrt 2 \) | |
| 497. |
If the parallel sides of a trapezium are 8 cm and 4 cm, M and N are the midpoints of the diagonals of the trapezium, then the length of MN is: |
| A. | 12 cm |
| B. | 6 cm |
| C. | 1 cm |
| D. | 2 cm |
| Answer» E. | |
| 498. |
If percent increase in radius of cylinder is 300. Then volume of the cylinder changes by how much percent? (Keeping height of the cylinder constant) |
| A. | 1500% |
| B. | 600% |
| C. | -600% |
| D. | None of the above |
| Answer» B. 600% | |
| 499. |
If the length and breadth of a rectangle are in the ratio of 3 ∶ 2 and its perimeter is 20 cm, then the area of the rectangle (in cm2) is: |
| A. | 24 cm2 |
| B. | 36 cm2 |
| C. | 12 cm2 |
| D. | 48 cm2 |
| Answer» B. 36 cm2 | |
| 500. |
In the radius of a tyre is 7 cm, what distance will it travel in 50 rotations? |
| A. | 7 meter |
| B. | 50 meter |
| C. | 22 meter |
| D. | 44 meter |
| Answer» D. 44 meter | |