MCQOPTIONS
Saved Bookmarks
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.
| 351. |
In ΔABC, right angled at B, BC = 15 cm and AB = 8 cm. A circle is inscribed in ΔABC. The radius of the circle is: |
| A. | 2 cm |
| B. | 4 cm |
| C. | 1 cm |
| D. | 3 cm |
| Answer» E. | |
| 352. |
Curved surface area of a cylinder is 440 cm2. The base circumference is 44 cm. What is its volume? |
| A. | 1240 cm3 |
| B. | 3050 cm3 |
| C. | 1540 cm3 |
| D. | 710 cm3 |
| Answer» D. 710 cm3 | |
| 353. |
If the side of the square is increased by 10 cm, then the area increases by 500 cm2. The side of the square is: |
| A. | 21 cm |
| B. | 19 cm |
| C. | 25 cm |
| D. | 20 cm |
| Answer» E. | |
| 354. |
If the radius of a circle becomes ten times, the new circumference will be what times of the actual? |
| A. | 9 |
| B. | 8 |
| C. | 11 |
| D. | 10 |
| Answer» E. | |
| 355. |
A cube of side 24 cm is cut into 27 smaller uniform cubes, then the surface area of each smaller cube is |
| A. | 512 cm2 |
| B. | 216 cm2 |
| C. | 384 cm2 |
| D. | 864 cm2 |
| Answer» D. 864 cm2 | |
| 356. |
If the diagonals of two squares are in the ratio 1 : 3, then what is the ratio of their areas? |
| A. | 1 : 6 |
| B. | 1 : 9 |
| C. | 1 : 3 |
| D. | 6 : 1 |
| Answer» C. 1 : 3 | |
| 357. |
A hollow cylindrical tube 20 cm long is made of iron and its external and internal diameters are 8 cm and 6 cm respectively. The volume (in cubic cm) of iron used in making the tube is (Take n = 22/7) |
| A. | 1760 |
| B. | 440 |
| C. | 220 |
| D. | 880 |
| Answer» C. 220 | |
| 358. |
If the radius of a circle becomes fourteen times, the new circumference will be what times the actual circumference? |
| A. | 13 |
| B. | 16 |
| C. | 15 |
| D. | 14 |
| Answer» E. | |
| 359. |
A solid metallic sphere of radius 14 cm is melted and recast into a cone with diameter of the base as 14 cm. What is the height (in cm) of the cone? |
| A. | 236 |
| B. | 64 |
| C. | 112 |
| D. | 224 |
| Answer» E. | |
| 360. |
One side of a rhombus is 37 cm and its area is 840 cm2. Find the sum of the lengths of its diagonals. |
| A. | 84 cm |
| B. | 47 cm |
| C. | 42 cm |
| D. | 94 cm |
| Answer» E. | |
| 361. |
Find the area and circumference of a circle if the radius is 14 cm. (Take π = 22/7) |
| A. | Area = 616 cm2 ; Circumference = 88 cm |
| B. | Area = 88 cm2 ; Circumference = 616 cm |
| C. | Area = 44 cm2 ; Circumference = 308 cm |
| D. | Area = 308 cm2 ; Circumference = 44 cm |
| Answer» B. Area = 88 cm2 ; Circumference = 616 cm | |
| 362. |
If the radius of a circle becomes nine times, then the new circumference will be how many times of the actual circumference? |
| A. | 11 |
| B. | 9 |
| C. | 8 |
| D. | 10 |
| Answer» C. 8 | |
| 363. |
Area of a equilateral triangle of each side 'a' is |
| A. | \(\frac{\sqrt{3}}{2} a^2\) |
| B. | \(\frac{\sqrt{3}}{4} a^2\) |
| C. | \(\sqrt{3}a^2\) |
| D. | \(\frac{1}{\sqrt{3}} a^2\) |
| Answer» C. \(\sqrt{3}a^2\) | |
| 364. |
A sphere of radius 4 cm is melted and recast smaller spheres of radii 2 cm each. How many such spheres can be made? |
| A. | 32 |
| B. | 8 |
| C. | 16 |
| D. | 4 |
| Answer» C. 16 | |
| 365. |
If the radius of a circle is increased by 50%, then what will be the percentage increase in the area of circle? |
| A. | 225 |
| B. | 125 |
| C. | 150 |
| D. | 175 |
| Answer» C. 150 | |
| 366. |
If the ratio of radii of two cylinders is 2 ∶ 3 and the ratio of their heights is 5 ∶ 3, then the ratio of their volumes is |
| A. | 20 ∶ 27 |
| B. | 21 ∶ 25 |
| C. | 27 ∶ 25 |
| D. | None of the above |
| Answer» B. 21 ∶ 25 | |
| 367. |
A tent is such that its lower part is like a cylinder of 24 m height, which is 126 m in diameter. Its apex is like a cone with a base of the same diameter of 126 m and is 80 m slant high. Its canvas is 8 m wide. Calculate the length of the canvas required to make the tent. |
| A. | 3168 m |
| B. | 3020 m |
| C. | 3296 m |
| D. | 3190 m |
| Answer» B. 3020 m | |
| 368. |
If the radius of a sphere is increased by 50%, then the percentage increase in its surface area is: |
| A. | 115% |
| B. | 130% |
| C. | 120% |
| D. | 125% |
| Answer» E. | |
| 369. |
If the sides of a square are increased by 30%, find the % increase in its area. |
| A. | 79% |
| B. | 68% |
| C. | 69% |
| D. | 65% |
| Answer» D. 65% | |
| 370. |
Curved surface area of a cylinder is 110 cm2. If the height of cylinder is 5 cm, then what will be the diameter of its base? |
| A. | 21 cm |
| B. | 7 cm |
| C. | 10.5 cm |
| D. | 15 cm |
| Answer» C. 10.5 cm | |
| 371. |
A cone is 32 cm high and the radius of its base is 8 cm. It is melted and recast into a sphere. Find the radius of the sphere. |
| A. | 2.5 cm |
| B. | 4 cm |
| C. | 6.5 cm |
| D. | 8 cm |
| Answer» E. | |
| 372. |
If the perimeter of a square is 80 cm, then what is the diagonal of the square (in cm)? |
| A. | 20√2 |
| B. | 40√2 |
| C. | 80√2 |
| D. | 20 |
| Answer» B. 40√2 | |
| 373. |
A square has a perimeter equal to 24 units. If the length of each side of the square is reduced by 2 units, then find the area (in sq units) of the square. |
| A. | 4 |
| B. | 9 |
| C. | 16 |
| D. | 25 |
| Answer» D. 25 | |
| 374. |
Find the area of the circle whose diameter is 14 cm? |
| A. | 154 cm2 |
| B. | 174 cm2 |
| C. | 164 cm2 |
| D. | 144 cm2 |
| Answer» B. 174 cm2 | |
| 375. |
Find the perimeter of a right angle triangle whose sides have sizes of 5 cm and 12 cm. |
| A. | 18 cm |
| B. | 30 cm |
| C. | 17 cm |
| D. | 25 cm |
| Answer» C. 17 cm | |
| 376. |
A cylindrical vessel of radius 3.5 m is full of water. If 15400 litres of water is taken out from it, then the drop in the water level in the vessel will be: |
| A. | 72 cm |
| B. | 40 cm |
| C. | 60 cm |
| D. | 35 cm |
| Answer» C. 60 cm | |
| 377. |
How many bricks 20 cm x 10 cm will be required to have the floor of a hall 16 metres long and 10 meters wide? |
| A. | 8000 |
| B. | 8500 |
| C. | 8400 |
| D. | 9000 |
| Answer» B. 8500 | |
| 378. |
In triangle ABC, AD ⊥ BC and AO is the bisector of ∠BAC. If ∠ABC = 65° and ∠ACB = \(23\frac{{1^\circ }}{2},\) then ∠DAO is ____ (in degrees) |
| A. | \(20\frac{{1^\circ }}{4}\) |
| B. | \(20\frac{{1^\circ}}{5}\) |
| C. | \(20\frac{{1^\circ }}{2}\) |
| D. | \(20\frac{{3^\circ }}{4}\) |
| Answer» E. | |
| 379. |
If diagonals of a rhombus are 36 cm and 48 cm, then what is the perimeter (in cm) of the rhombus? |
| A. | 30 |
| B. | 60 |
| C. | 120 |
| D. | 240 |
| Answer» D. 240 | |
| 380. |
A regular triangular pyramid is cut by 2 planes which are parallel to its base. The planes trisect the altitude of the pyramid. Volume of top, middle and bottom part is V1, V2 and V3 respectively. What is the value of V1 : V2 : V3? |
| A. | 1 : 8 : 27 |
| B. | 1 : 8 : 19 |
| C. | 2 : 9 : 27 |
| D. | 1 : 7 : 19 |
| Answer» E. | |
| 381. |
Find the area of a triangle whose sides are 5 cm, 12 cm and 13 cm. |
| A. | 46 sq. cm |
| B. | 42 sq. cm |
| C. | 30 sq. cm |
| D. | 38 sq. cm |
| Answer» D. 38 sq. cm | |
| 382. |
An agricultural field is in the form of a rectangle having length X1 meters and breadth X2 meters (X1 and X2 are variable). If X1 + X2 = 40 meters, then the area of the agricultural field will not exceed which one of the following values? |
| A. | 400 sq m |
| B. | 300 sq m |
| C. | 200 sq m |
| D. | 80 sq m |
| Answer» B. 300 sq m | |
| 383. |
In the given figure below, AC is parallel to ED and AB = DE = 5 cm and BC = 7 cm. What is area ABDE : area BDE : area BCD equal to? |
| A. | 10 : 5 : 7 |
| B. | 8 : 4 : 7 |
| C. | 2 : 1 : 2 |
| D. | 8 : 4 : 5 |
| Answer» B. 8 : 4 : 7 | |
| 384. |
If the area of a circle is 154 sq cm, then its circumference is: |
| A. | 44 cm |
| B. | 7 cm |
| C. | 49 cm |
| D. | 21 cm |
| Answer» B. 7 cm | |
| 385. |
A rectangular lawn whose length is twice of its breadth is extended by having four semi-circular portions on its sides. What is the total area (in m2) of the lawn of the smaller side of the rectangle is 12 m? (Take π = 3.14) |
| A. | 548.32 |
| B. | 444 |
| C. | 853.2 |
| D. | 308.64 |
| Answer» D. 308.64 | |
| 386. |
A metallic wire bent in the form of a square of area 144 cm2. If the same wire is bent in the form of a circle, then the area of the circle is |
| A. | 145.56 cm2 |
| B. | 174.243 cm2 |
| C. | 183.45 cm2 |
| D. | 157.34 cm2 |
| E. | None of these |
| Answer» D. 157.34 cm2 | |
| 387. |
If the radius of a circle is diminished by 20%, then its area is diminished by _______. |
| A. | 38% |
| B. | 26% |
| C. | 19% |
| D. | 36% |
| Answer» E. | |
| 388. |
An iron bar has a length of 11 m and weight of 23.1 kg. What will be the weight of a similar iron bar, which has a length of 13 m? |
| A. | 65.3 kg |
| B. | 27.3 kg |
| C. | None of the above |
| D. | 28.3 kg |
| Answer» C. None of the above | |
| 389. |
Given an equilateral triangle T1 with side 24 cm, a second triangle T2 is formed by joining the midpoints of the sides of T1. Then a third triangle T3 is formed by joining the midpoints of the sides of T2. If this process of forming triangles is continued, the sum of the areas, in sq cm, of infinitely many such triangles T1, T2, T3,... will be |
| A. | 248√3 |
| B. | 192√3 |
| C. | 188√3 |
| D. | 164√3 |
| Answer» C. 188√3 | |
| 390. |
Find the total surface area (in cm2) of a hemisphere of diameter 7 cm. |
| A. | 105.5 |
| B. | 99 |
| C. | 77 |
| D. | 115.5 |
| Answer» E. | |
| 391. |
Find the area (in cm2) of a semi–circle of radius 7 cm. |
| A. | 154 |
| B. | 21 |
| C. | 42 |
| D. | 77 |
| Answer» E. | |
| 392. |
An equilateral triangle, a square and a circle have equal perimeter. If T, S and C denote the area of the triangle, area of the square and area of the circle respectively, then which one of the following is correct? |
| A. | T < S < C |
| B. | S < T < C |
| C. | C < S < T |
| D. | T < C < S |
| Answer» B. S < T < C | |
| 393. |
A metallic hemispherical bowl is made up of steel. The total steel used in making the bowl is 342π cm3. The bowl can hold 144π cm3 water. What is the thickness (in cm) of bowl and the curved surface area (in cm2) of outer side? |
| A. | 6, 162π |
| B. | 3, 162π |
| C. | 6, 81π |
| D. | 3, 81π |
| Answer» C. 6, 81π | |
| 394. |
A cuboid of size 100 cm × 80 cm × 60 cm cut into eight identical parts by three cuts. What is the total surface area (in square cm.) of all the eight parts? |
| A. | 84100 |
| B. | 22500 |
| C. | 75200 |
| D. | 50750 |
| Answer» D. 50750 | |
| 395. |
A cuboid of sides 5 cm, 10 cm and 20 cm are melted to form a new cube. What is the ratio between the total surface area of the cuboid and that of the cube? |
| A. | 6 : 5 |
| B. | 7 : 6 |
| C. | 11 : 10 |
| D. | 9 : 7 |
| Answer» C. 11 : 10 | |
| 396. |
In the give figure, ABCD and BEFG are squares of sides 8 cm and 6 cm respectively. What is the area (in cm2) of the shaded region? |
| A. | 14 |
| B. | 12 |
| C. | 8 |
| D. | 16 |
| Answer» C. 8 | |
| 397. |
Four equal discs are placed such that each one touches two others. If the area of empty space enclosed by them is 150/847 square centimeter, then the radius of each disc is equal to |
| A. | 7/6 cm |
| B. | 5/6 cm |
| C. | ½ cm |
| D. | 5/11 cm |
| Answer» E. | |
| 398. |
How many balls of radius 4.5 cm can be made by melting a bigger ball of diameter 36 cm? |
| A. | 48 |
| B. | 128 |
| C. | 64 |
| D. | 32 |
| Answer» D. 32 | |
| 399. |
0.1 per cent of 1.728 × 106 spherical droplets of water, each of diameter 2 mm, coalesce to form a spherical bubble. What is the diameter (in cm) of the bubble? |
| A. | 1.2 |
| B. | 1.6 |
| C. | 1.8 |
| D. | 2.4 |
| Answer» E. | |
| 400. |
A rectangular field 242 m long has got an area of 4840 sq.m. The cost of fencing that field on all the four sides, if 1 m of fencing costs 10 rupees, in rupees is |
| A. | 524 |
| B. | 262 |
| C. | 2620 |
| D. | 5240 |
| Answer» E. | |