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.
| 551. |
If the total surface area of a cube is 864 square cm, find the volume of the cube: |
| A. | 1728 cm3 |
| B. | 1624 cm3 |
| C. | 144 cm3 |
| Answer» B. 1624 cm3 | |
| 552. |
ΔABC is similar to ΔPQR. If ratio of perimeter of ΔABC : perimeter of ΔPQR is 5 : 9 and if PQ = 45 cm, then the length of AB (in cm) is? |
| A. | 15 |
| B. | 20 |
| C. | 25 |
| D. | 16 |
| Answer» D. 16 | |
| 553. |
A circular ground of radius 7 m is surrounded by a path of width 3.5 m. Find the area of the path. (π = 22/7) |
| A. | 202 sq.m |
| B. | 154 sq.m |
| C. | 192.5 sq.m |
| D. | 346.5 sq.m |
| Answer» D. 346.5 sq.m | |
| 554. |
In the given figure, O is the center of a circle, and diameter AB bisects, chord CD at a point E such that CE = ED = 8 cm and EB = 4 cm. The radius of the circle is |
| A. | 10 cm |
| B. | 12 cm |
| C. | 6 cm |
| D. | 8 cm |
| Answer» B. 12 cm | |
| 555. |
In a right angled triangle, with angle at A being 90°, the side AB is of length 3 cm and BC is 12 cm. What is the length of side AC? |
| A. | 3√15 cm |
| B. | 3√3 cm |
| C. | 3√17 cm |
| D. | 3 cm |
| Answer» B. 3√3 cm | |
| 556. |
A rectangle having 8 cm and 4 cm as its dimensions was reconstructed to make a rhombus having the same perimeter as that of the rectangle and 60° as one of its angles. The area of the rhombus, in cm2, was: |
| A. | 24√3 |
| B. | 18√3 |
| C. | 16√3 |
| D. | 32√3 |
| Answer» C. 16√3 | |
| 557. |
If the radius of a right circular cylinder is decreased by 20% while its height is increased by 40% then the percentage change in its volume will be by: |
| A. | No increase or decrease |
| B. | 10.4% increase |
| C. | 10.4% decrease |
| D. | 1.04% increase |
| Answer» D. 1.04% increase | |
| 558. |
A cube has an edge of 4 cm, then the length of the face diagonal of the cube is |
| A. | 8 cm |
| B. | 7.5 cm |
| C. | \(4\sqrt{2}\) cm |
| D. | 32\(\sqrt{2}\) cm |
| Answer» D. 32\(\sqrt{2}\) cm | |
| 559. |
If the length of a rectangle is increased by 40%, and the breadth is decreased by 20%, then the area of the rectangle increases by x%. Then the value of x is: |
| A. | 16 |
| B. | 8 |
| C. | 12 |
| D. | 20 |
| Answer» D. 20 | |
| 560. |
A door with dimension 2.5 m × 1 m and 2 window frames each of dimension 1.5 m × 1 m is fixed on a wall of dimension 7 m × 6 m. Find the total labour charge for painting the wall if the labour charge for painting 1 m2 of the wall is Rupees 4. |
| A. | Rs. 146 |
| B. | Rs. 152 |
| C. | Rs. 168 |
| D. | Rs. 158 |
| Answer» B. Rs. 152 | |
| 561. |
A cycle wheel completes 5000 rounds in 44 km. Find the radius of wheels? (π = 22/7)A. 140 cmB. 270 cmC. 70 cmD. 120 cm |
| A. | A |
| B. | C |
| C. | B |
| D. | D |
| Answer» B. C | |
| 562. |
If the area of an equilateral triangle is 12√3 m2, then what is the value (in metres) of its height? |
| A. | 4.5 |
| B. | 6.5 |
| C. | 6 |
| D. | 4√3 |
| Answer» D. 4√3 | |
| 563. |
If area of a square shaped plot is 18,225 square metres, what is the length of diagonal of the plot (approx.)? |
| A. | 225 m |
| B. | 190 m |
| C. | 135 m |
| D. | 125 m |
| Answer» C. 135 m | |
| 564. |
If the perimeter of a sector of a circle of radius 5.7 cm is 27.2 cm, then area of the sector is |
| A. | 45.03 cm2 |
| B. | 25.02 cm2 |
| C. | 30.12 cm2 |
| D. | 14.23 cm2 |
| Answer» B. 25.02 cm2 | |
| 565. |
Kazipet, which has a population of 4000, requires 9 litres of water per person per day. It has a cuboidal tank measuring 15 m × 8 m × 6 m. If the tank is full of water then for how many days will the water of this tank last? |
| A. | 25 days |
| B. | 30 days |
| C. | 10 days |
| D. | 20 days |
| Answer» E. | |
| 566. |
In ∆ABC, the bisectors of ∠B and ∠C meet at point O within the triangle. If ∠BOC = 148°, then the measure of ∠A is: |
| A. | 58° |
| B. | 116° |
| C. | 87° |
| D. | 29° |
| Answer» C. 87° | |
| 567. |
If the curved surface area of a sphere increased by 44%, then by what percentage would its volume increase? |
| A. | 20% |
| B. | 44% |
| C. | Cannot be determined |
| D. | 72.8% |
| Answer» E. | |
| 568. |
A hemisphere and a cone have equal bases. If their heights are also equal, then ratio of their curved surface will be |
| A. | 2 : 1 |
| B. | 1 : 2 |
| C. | √2 : 1 |
| D. | 1 : √2 |
| Answer» D. 1 : √2 | |
| 569. |
If the diameter of a circle is 8 m, which length of arc intercepts a central angle of 45° at the centre ? |
| A. | π m |
| B. | 2π m |
| C. | 3π m |
| D. | 4π m |
| Answer» B. 2π m | |
| 570. |
A water pump has a capacity to fill water at 10 liters per second. How much time will it take to fill the water tank of 80 cm × 60 cm × 50 cm? |
| A. | 12 Seconds |
| B. | 24 Seconds |
| C. | 36 Seconds |
| D. | 48 Seconds |
| Answer» C. 36 Seconds | |
| 571. |
A cube and a sphere have equal surface area. The ratio of their volumes is |
| A. | π ∶ 6 |
| B. | \(\sqrt \pi\) ∶ \(\sqrt 6\) |
| C. | π2 ∶ 62 |
| D. | π3 ∶ 63 |
| Answer» C. π2 ∶ 62 | |
| 572. |
PAT is a tangent to a circle at point A on it, and AB is a chord such that ∠BAT = 72°. If C is a point on the circle such that ∠CBA = 58°, then what is the measure of ∠CAB? |
| A. | 48° |
| B. | 62° |
| C. | 50° |
| D. | 60° |
| Answer» D. 60° | |
| 573. |
Find the volume (in cm3) of a sphere of diameter 7 cm. |
| A. | 141.25 |
| B. | 179.67 |
| C. | 337.16 |
| D. | 213.74 |
| Answer» C. 337.16 | |
| 574. |
If each side of a square is increased by 10%, then what percentage of its area will be increased? |
| A. | 11% |
| B. | 20% |
| C. | 21% |
| D. | None of the above |
| Answer» D. None of the above | |
| 575. |
A rectangular red carpet of size 6 ft × 12 ft has a dark red border 6 inches wide. What is the area of the dark red border? |
| A. | 9 square feet |
| B. | 15 square feet |
| C. | 17 square feet |
| D. | 18 square feet |
| Answer» D. 18 square feet | |
| 576. |
If the lateral surface area of the cube is 144 cm2, then what is the length of its side? |
| A. | 5 cm |
| B. | 4 cm |
| C. | 8 cm |
| D. | 6 cm |
| Answer» E. | |
| 577. |
Find the area (in cm²) of a semi-circle of radius 35 cm. |
| A. | 3850 |
| B. | 960 |
| C. | 1920 |
| D. | 1925 |
| Answer» E. | |
| 578. |
A right circular cylinder of maximum volume is cut from a solid cube of edge 14 cm. The total surface of the cylinder is |
| A. | 924 cm2 |
| B. | 1134 cm2 |
| C. | 2464 cm2 |
| D. | 616 cm2 |
| Answer» B. 1134 cm2 | |
| 579. |
During a rainy day, 4 cm of rain falls. The volume (in m3) of water that falls on 1.5 hectares of ground is: |
| A. | 600 |
| B. | 450 |
| C. | 750 |
| D. | 500 |
| Answer» B. 450 | |
| 580. |
In the figure, what is the value of cot R? |
| A. | 15/8 |
| B. | 15/17 |
| C. | 8/15 |
| D. | 17/18 |
| Answer» B. 15/17 | |
| 581. |
Length of a rectangle is five more than twice its breadth. If its area is 273 sq.cm., then the area (in sq. cms) of the circle, whose radius is equal to the breadth of the rectangle, is: |
| A. | 346.5 |
| B. | 123.25 |
| C. | 140 |
| D. | 210 |
| Answer» B. 123.25 | |
| 582. |
If the height of an equilateral triangle is 10√3cm, the area is: |
| A. | 124√3 cm2 |
| B. | 75√3 cm2 |
| C. | 80√3 cm2 |
| D. | 100√3 cm2 |
| Answer» E. | |
| 583. |
A circle has area 154 square units. Its diameters have equations 2x - 3y + 12 = 0 and x + 4y - 5 = 0. Then the radius of the circle is? |
| A. | 8 units |
| B. | 7 units |
| C. | 6 units |
| D. | 5 units |
| Answer» C. 6 units | |
| 584. |
A well of 70m of diameter is dug 40m deep and the extracted soil is scattered around it to a width of 10 m to form an embankment. The height of the embankment is ______. |
| A. | 61.25 m |
| B. | 81.25 m |
| C. | 51.25 m |
| D. | 65.25 m |
| Answer» B. 81.25 m | |
| 585. |
A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder? |
| A. | 5 |
| B. | 6 |
| C. | 15 |
| D. | 7.5 |
| Answer» E. | |
| 586. |
From a circular sheet of paper of radius 50 cm, a sector of 40% area is removed in a shape of an arc section. If the remaining part is used to make a conical surface, then the ratio of the radius to height of the cone is |
| A. | \(\frac{4}{3}\) |
| B. | \(\frac{5}{4}\) |
| C. | \(\frac{3}{4}\) |
| D. | \(\frac{7}{8}\) |
| Answer» D. \(\frac{7}{8}\) | |
| 587. |
A prism has a regular hexagonal base whose side is 12 cm. The height of the prism is 24 cm. It is cut into 4 equal parts by 2 perpendicular cuts as shown in figure. What is the sum of the total surface area of the four parts? |
| A. | 1728 + 432√3 |
| B. | 2880 + 1008√3 |
| C. | 2880 + 432√3 |
| D. | 1728 + 1008√3 |
| Answer» C. 2880 + 432√3 | |
| 588. |
If the length of a rectangle is increased by 50%, then by how much percent its breadth should be reduced to keep the area the same? |
| A. | 50 |
| B. | \(33\frac{1}{3}\) |
| C. | \(66\frac{1}{6}\) |
| D. | \(37\frac{1}{6}\) |
| Answer» C. \(66\frac{1}{6}\) | |
| 589. |
One side of a rhombus is 26 cm and one of the diagonals is 48 cm. What is the area of the rhombus? |
| A. | 624 cm2 |
| B. | 580 cm2 |
| C. | 520 cm2 |
| D. | 480 cm2 |
| Answer» E. | |
| 590. |
A circle is inscribed in the triangle ABC whose sides are given as AB = 10, BC = 8, CA = 12 units as shown in the figure. The value of AD × BF is: |
| A. | 18 units |
| B. | 15 units |
| C. | 21 units |
| D. | 16 units |
| Answer» D. 16 units | |
| 591. |
If the surface area of a sphere is reduced to one-ninth of the area, its radius reduces to |
| A. | One-fourth |
| B. | One-third |
| C. | One-fifth |
| D. | One-ninth |
| Answer» C. One-fifth | |
| 592. |
If the ratio of the circumference of the base of a right circular cone of radius r to its height is 3 : 1, then what is the area of the curved surface of the cone? |
| A. | 3πr2 |
| B. | [2πr2 √(4π2 + 9)]/3 |
| C. | [πr2 √(π2 + 1)]/3 |
| D. | [πr2 √(4π2 + 9)]/3 |
| Answer» E. | |
| 593. |
If the diagonal of a rectangle is 10 cm and is twice the width, then what would be its area? |
| A. | 25√3 sq cm |
| B. | 10√3 sq cm |
| C. | 12.5√3 sq cm |
| D. | 25 sq cm |
| Answer» B. 10√3 sq cm | |
| 594. |
Calculate the area (in cm2) of a circle of radius 10.5 cm. |
| A. | 693 |
| B. | 157.5 |
| C. | 315 |
| D. | 346.5 |
| Answer» E. | |
| 595. |
In a triangle ABC, if 2 ∠A = 3 ∠B = 6 ∠C, then what is ∠A + ∠C equal to? |
| A. | 90° |
| B. | 120° |
| C. | 135° |
| D. | 150° |
| Answer» C. 135° | |
| 596. |
If the surface area of two spheres is in the ratio 49 : 25, then the ratio of their volumes will be: |
| A. | 64 : 27 |
| B. | 25 : 49 |
| C. | 343 : 64 |
| D. | 343 : 125 |
| Answer» E. | |
| 597. |
Areas of two squares are in the ratio m2 ∶ n4. What is the ratio of their perimeters? |
| A. | m ∶ n |
| B. | n ∶ m |
| C. | m ∶ n2 |
| D. | m2 ∶ n |
| Answer» D. m2 ∶ n | |
| 598. |
If a cuboid of dimensions 32 cm × 12 cm × 9 cm is melted and recast into two equal cubes of the same size, what will be the ratio of the total surface area of the cuboid to the total surface area of the two cubes? |
| A. | 65 ∶ 72 |
| B. | 24 ∶ 35 |
| C. | 37 ∶ 48 |
| D. | 32 ∶ 39 |
| Answer» B. 24 ∶ 35 | |
| 599. |
If the area of a semi circular field is 30800 sq. m. then the perimeter of the field is (use π = 22/7) |
| A. | 240 m |
| B. | 720 m |
| C. | 460 m |
| D. | 840 m |
| Answer» C. 460 m | |
| 600. |
If the radius of a circle becomes 15 times of its radius, then its circumference will be how much time of its original circumference? |
| A. | 15 |
| B. | 16 |
| C. | 17 |
| D. | 14 |
| Answer» B. 16 | |