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.
| 401. |
If the volume of a cube is 125 cu cm, then what is its total surface area? |
| A. | 180 sq cm |
| B. | 150 sq cm |
| C. | 300 sq cm |
| D. | 120 sq cm |
| Answer» C. 300 sq cm | |
| 402. |
In a Δ ABC, D is the mid-point of side AC and BD = \(\frac{1}{2}AC,\) then ∠ ABC is - |
| A. | 45° |
| B. | 60° |
| C. | 90° |
| D. | 120° |
| Answer» D. 120° | |
| 403. |
A region of area A bounded by a circle C is divided into n regions, each of area A/n, by drawing circles of radii r1, r2, r3, ⋯ , rn-1 such that r < r2 < r3 < ⋯ rn-1 concentric with the circle C. If pm = rm+1 /rm, then which one of the following is correct? |
| A. | p increases as m increases |
| B. | p decreases as m increases |
| C. | p remains constant as m increases |
| D. | p increases for some values of m as m increases and then decreases thereafter |
| Answer» C. p remains constant as m increases | |
| 404. |
In a right - angled triangle, the hypotenuse is 4 cm longer than the perpendicular which is 4 cm longer than the base. Calculate the length of the hypotenuse.A. 12 cmB. 10 cmC. 20 cmD. 15 cm |
| A. | C |
| B. | A |
| C. | B |
| D. | D |
| Answer» B. A | |
| 405. |
If the rectangular faces of a brick have their diagonals in the ratio 3 : 2√3 : √15, then the ratio of the length of the shortest edge of the brick to that of its longest edge is: |
| A. | 1 : √3 |
| B. | √3 : 2 |
| C. | √2 : √3 |
| D. | 2 : √5 |
| Answer» B. √3 : 2 | |
| 406. |
If the radius of a sphere is increased by 27%, then what will be the percentage increase (up to two decimal places) in its volume? |
| A. | 126.12% |
| B. | 128.34% |
| C. | 104.84% |
| D. | 112.72% |
| Answer» D. 112.72% | |
| 407. |
A right circular cylinder has height 18 cm and radius 7 cm. The cylinder is cut in three equal parts (by 2 cuts parallel to base). What is the percentage increase in total surface area? |
| A. | 62 |
| B. | 56 |
| C. | 48 |
| D. | 52 |
| Answer» C. 48 | |
| 408. |
ΔPQR is right angled at Q. If m∠R = 30°. What is the length of PR (in cm), if RQ = 12 cm? |
| A. | 12√3 |
| B. | 6√3 |
| C. | 9√3 |
| D. | 8√3 |
| Answer» E. | |
| 409. |
In a cylinder, if radius is halved and height is doubled, the volume will be |
| A. | same |
| B. | doubled |
| C. | halved |
| D. | four times |
| Answer» D. four times | |
| 410. |
On a rectangular metal sheet of area 135 sq in, a circle is painted such that the circle touches two opposite sides. If the area of the sheet left unpainted is two-thirds of the painted area then the perimeter of the rectangle in inches is |
| A. | \(3\sqrt \pi \left( {5 + \frac{{12}}{\pi }} \right)\) |
| B. | \(3\sqrt \pi \left( {\frac{5}{2}+ \frac{{6}}{\pi }} \right)\) |
| C. | \(5\sqrt \pi \left( {3+ \frac{{9}}{\pi }} \right)\) |
| D. | \(4\sqrt \pi \left( {3 + \frac{{9}}{\pi }} \right)\) |
| Answer» B. \(3\sqrt \pi \left( {\frac{5}{2}+ \frac{{6}}{\pi }} \right)\) | |
| 411. |
In an isosceles triangle ABC with AB = AC and AD is perpendicular to BC, if AD = 6 cm and the perimeter of ΔABC is 36 cm, then the area of ΔABC is: |
| A. | 54 cm2 |
| B. | 64 cm2 |
| C. | 45 cm2 |
| D. | 48 cm2 |
| Answer» E. | |
| 412. |
220 articles droped in a water tank which is 52 m long and 47 m broad. If the average displacement of water by an article is 4.5 m3 , then approximate rise in the water level will be: |
| A. | 40.5 cm |
| B. | 20.5 cm |
| C. | 12.5 cm |
| D. | 30.5 cm |
| Answer» B. 20.5 cm | |
| 413. |
From the four corners of a rectangular sheet of dimensions 25 cm × 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is |
| A. | 828 cm3 |
| B. | 672 cm3 |
| C. | 500 cm3 |
| D. | 1000 cm3 |
| Answer» C. 500 cm3 | |
| 414. |
A wooden box measures 10 cm by 6 cm by 5 cm. Thickness of wood is 2 cm. Find the volume of wood required to make the box. |
| A. | 206 cm3 |
| B. | 207 cm3 |
| C. | 204 cm3 |
| D. | 288 cm3 |
| Answer» E. | |
| 415. |
A rectangular sheet of paper which is 88 cm long and 11 cm wide is rolled to form a cylinder of height equal to its width of the paper. What is the volume of the cylinder so formed? |
| A. | 7676 cm3 |
| B. | 6776 cm3 |
| C. | 6546 cm3 |
| D. | 6786 cm3 |
| Answer» C. 6546 cm3 | |
| 416. |
A steel rod is cut into 4 pieces, in ratio of 1 : 2 : 3 : 4 length. Find the ratio of their volume. |
| A. | 1 : √2 : √3 : 2 |
| B. | 4 : 3 : 2 : 1 |
| C. | 2 : √3 : √2 : 1 |
| D. | 1 : 2 : 3 : 4 |
| Answer» E. | |
| 417. |
A cube has numerically equal surface area and volume. Find the volume of the cube. |
| A. | 162 cubic units |
| B. | 512 cubic units |
| C. | 216 cubic units |
| D. | 276 cubic units |
| Answer» D. 276 cubic units | |
| 418. |
Area of the smallest square that can circumscribe a circle of area 616 cm2 is - |
| A. | 784 cm2 |
| B. | 824 cm2 |
| C. | 864 cm2 |
| D. | 764 cm2 |
| Answer» B. 824 cm2 | |
| 419. |
A solid metallic spherical ball of diameter 6 cm is melted and re-casted into a cone with diameter of the base as 12 cm. The height of the cone is |
| A. | 6 cm |
| B. | 2 cm |
| C. | 4 cm |
| D. | 3 cm |
| Answer» E. | |
| 420. |
Find the perimeter of the sector of angle 60° of a circle of radius 21 m. |
| A. | 22 m |
| B. | 11 m |
| C. | 64 m |
| D. | 43/3 m |
| Answer» D. 43/3 m | |
| 421. |
A right circular solid cylinder has radius 7 cm and height 24 cm. A conical cavity of same dimensions is carved out of the cylinder. Then the sum of the areas, in square centimeters, of the inner and the outer surfaces of the remaining solid is |
| A. | 1056 |
| B. | 1606 |
| C. | 1760 |
| D. | 1814 |
| Answer» D. 1814 | |
| 422. |
A hollow sphere with external and internal diameters as 24 cm and 16 cm. respectively, is melted into a cylinder with a base diameter of 32 cm. The height of the cylinder is closest to: |
| A. | 7.33 cm |
| B. | 5.56 cm |
| C. | 5.16 cm |
| D. | 6.33 cm |
| Answer» E. | |
| 423. |
If the sides of a triangle are in the ratio 9 ∶ 6 ∶ 4, then the triangle is said to be _____. |
| A. | right angled |
| B. | obtuse angled |
| C. | acute angled |
| D. | All are incorrect |
| Answer» C. acute angled | |
| 424. |
If the diameter of the base of a right circular cylinder is reduced by \(33\frac{1}{3}\%\) and its height is doubled, then the volume of the cylinder will: |
| A. | increase by \(1\frac{1}{9}\%\) |
| B. | decrease by \(11\frac{1}{9}\%\) |
| C. | increase by \(11\frac{1}{9}\%\) |
| D. | remain unchanged |
| Answer» C. increase by \(11\frac{1}{9}\%\) | |
| 425. |
A bedroom is 6 meters 42 centimeters in length and 4 meters 62 centimeter in width. The least number of square tiles of equal size required to cover the entire floor of the bedroom is: |
| A. | 7962 |
| B. | 8239 |
| C. | 9643 |
| D. | 8293 |
| Answer» C. 9643 | |
| 426. |
Find the area of an isosceles triangle whose equal sides are 5 cm each and the base is 8 cm. |
| A. | 12 sq. cm |
| B. | 20 sq. cm |
| C. | 30 sq. cm |
| D. | 15 sq. cm |
| Answer» B. 20 sq. cm | |
| 427. |
Find the volume of a hemisphere with the radius of 3 cm. |
| A. | 56.57 cm3 |
| B. | 226.224 cm3 |
| C. | 14.139 cm3 |
| D. | 113.112 cm3 |
| Answer» B. 226.224 cm3 | |
| 428. |
In the given figure PT ∶ TS ∶ SR = 2 ∶ 1 ∶ 1 and SU is parallel to TQ. If RU = 10 cm, RS = 8 cm and SU = 6 cm, then what is the value (in cm) of PQ? |
| A. | 12 |
| B. | 10 |
| C. | 20 |
| D. | 30 |
| Answer» D. 30 | |
| 429. |
Length of the fence of a trapezium shaped field ABCD is 120 m. If BC = 48 m, CD = 17 m and AD = 40 m,, find the area of this field. The side AB is perpendicular to the parallel sides AD and BC. |
| A. | 632 m2 |
| B. | 660 m2 |
| C. | 630m2 |
| D. | None of these |
| Answer» C. 630m2 | |
| 430. |
A 5 cm long perpendicular is drawn from the centre of a circle to a 24 cm long chord. Find the diameter of the circle. |
| A. | 26 cm |
| B. | 32 cm |
| C. | 13 cm |
| D. | 30 cm |
| Answer» B. 32 cm | |
| 431. |
In a box of volume 40 cm cubes, how many cubes of sides 2 cm can be fitted? |
| A. | 5 |
| B. | 2 |
| C. | 20 |
| D. | 800 |
| Answer» B. 2 | |
| 432. |
If the ratio of the radius of the base of a right circular cone to its slant height is 1∶ 3, what is the ratio of the total surface area to the curved surface area? |
| A. | 5 ∶ 3 |
| B. | 3 ∶ 1 |
| C. | 4 ∶ 1 |
| D. | 4 ∶ 3 |
| Answer» E. | |
| 433. |
If the radius of a sphere is increased by 2.5 decimetre (dm), then its surface area increases by 110 dm2. What is the volume (in dm3) of the sphere?(Take π = \(\frac{22}{7}\)) |
| A. | \(\frac{4}{7}\) |
| B. | \(\frac{3}{7}\) |
| C. | \(\frac{13}{21}\) |
| D. | \(\frac{11}{21}\) |
| Answer» E. | |
| 434. |
ABC is a right angled triangle in which ∠B = 90°, AB = 5 cm and BC = 12 cm. What is the approximate volume (in cm3) of the double cone formed by rotating the triangle about its hypotenuse? |
| A. | 190 cm3 |
| B. | 290 cm3 |
| C. | 390 cm3 |
| D. | 578 cm3 |
| Answer» C. 390 cm3 | |
| 435. |
A person purchases a silk cloth of length 50 m and width 1 m at the rate of ₹ 250 per sq m and a cotton cloth of length 40 m and width 2 m at the rate of ₹ 200 per sq m. What is the difference between the prices of two cloths? |
| A. | ₹4100 |
| B. | ₹3200 |
| C. | ₹3950 |
| D. | ₹3500 |
| Answer» E. | |
| 436. |
If the radius of sphere is reduced by 10% then what will be the percentage change in its total surface area? |
| A. | 21 |
| B. | 19 |
| C. | 20 |
| D. | 22 |
| Answer» C. 20 | |
| 437. |
If the length of the diagonal of a square is 10√2 cm, then what will be area of the square? |
| A. | 200 cm2 |
| B. | 100 cm2 |
| C. | 100√2 cm2 |
| D. | 50 cm2 |
| Answer» C. 100√2 cm2 | |
| 438. |
In the given figure, two squares of sides 8 cm and 20 cm are given. What is the area (in cm2) of the shaded part? |
| A. | 160/7 |
| B. | 180/7 |
| C. | 240/13 |
| D. | 120/7 |
| Answer» C. 240/13 | |
| 439. |
If a sugar cube of side 3 cm push up 2 ml of milk in a glass, then how many sugar cubes are required to pushup 6 ml milk? |
| A. | 2.5 |
| B. | 3 |
| C. | 2 |
| D. | 4 |
| Answer» C. 2 | |
| 440. |
If the radius of a circle is increased so that its circumference increases by 5% then the area increases by what percentage? |
| A. | 5% |
| B. | 10% |
| C. | 10.25% |
| D. | 20% |
| Answer» D. 20% | |
| 441. |
A toy is in the shape of a hemsiphere surmounted by a cone. If radius of base of the cone is 3 cm and its height is 4cm. Total surface area of the toy is |
| A. | 33 π cm2 |
| B. | 42 π cm2 |
| C. | 66 π cm2 |
| D. | 56 π cm2 |
| Answer» B. 42 π cm2 | |
| 442. |
A chord of length 24 cm is drawn in a circle of diameter 40 cm. Another chord of length 32 cm is drawn in the same circle parallel to 24 cm long chord. What is the minimum distance (in cm) between them? |
| A. | 4 |
| B. | 2 |
| C. | 8 |
| D. | 3 |
| Answer» B. 2 | |
| 443. |
A cylindrical vessel 60 cm in diameter is partially filled with water. A sphere 30 cm in diameter is gently dropped into the vessel and is completely immersed. To what further height will the water in the cylinder rise? |
| A. | 20 cm |
| B. | 15 cm |
| C. | 10 cm |
| D. | 5 cm |
| Answer» E. | |
| 444. |
D and E are points on side AB and AC respectively of ΔABC. DE is parallel to BC. If AD ∶ DB = 2 ∶ 3, what is the ratio of the area of ΔADE and area of quadrilateral BDEC? |
| A. | 4 ∶ 21 |
| B. | 4 ∶ 25 |
| C. | 4 ∶ 29 |
| D. | 4 ∶ 9 |
| Answer» B. 4 ∶ 25 | |
| 445. |
ABC is a triangle right angled at C. Let P be any point on AC and Q be any point on BC. Which of the following statements is /are correct?1. AQ2 + BP2 = AB2 + PQ22. AB = 2PQSelect the correct answer using the code given below |
| A. | 1 only |
| B. | 2 only |
| C. | both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» B. 2 only | |
| 446. |
A triangular prism has 9 edges and 5 faces. How many vertices does it have? |
| A. | 8 |
| B. | 6 |
| C. | 12 |
| D. | 10 |
| Answer» C. 12 | |
| 447. |
If the heights of two cones are in the ratio 1 : 4 and their diameters are in the ratio 4 : 5, then what is the ratio of their volumes? |
| A. | 4 : 25 |
| B. | 1 : 16 |
| C. | 1 : 25 |
| D. | 16 : 25 |
| Answer» B. 1 : 16 | |
| 448. |
If the length of a rectangle is increased by 20%, then by how much percent its breadth should be reduced so that the area remains the same? |
| A. | 10 |
| B. | 20 |
| C. | 25 |
| D. | 16.66 |
| Answer» E. | |
| 449. |
If the length of one side and the diagonal of a rectangle are 10 cm and 26 cm respectively, then find its perimeter (in cm). |
| A. | 136 |
| B. | 31 |
| C. | 68 |
| D. | 62 |
| Answer» D. 62 | |
| 450. |
A cuboid with dimensions l × b × h is cut to get planks measuring l × 0.5 b × 0.4 h. How many planks will you get? |
| A. | 20 |
| B. | 10 |
| C. | 4 |
| D. | 5 |
| Answer» E. | |