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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.
| 301. |
A right-angled triangle ABC is right-angled at B, and tan A = 4/3. If AC = 25 cm, the length of BC is: |
| A. | 24 cm |
| B. | 20 cm |
| C. | 18.75 cm |
| D. | 33.3 cm |
| Answer» C. 18.75 cm | |
| 302. |
A rectangular sheet of plastic has dimension 40 cm × 25 cm. 224 circular buttons of diameter 2 cm are cut out from this sheet. the area of the sheet left out is |
| A. | 593.28 cm2 |
| B. | 293.64 cm2 |
| C. | 444.96 cm2 |
| D. | None of the above |
| Answer» E. | |
| 303. |
Find the length of the arc that subtends an angle of 120 degree at the center of a circle of radius 14cm. |
| A. | 132 cm |
| B. | 29.33 cm |
| C. | 98 cm |
| D. | 44 cm |
| Answer» C. 98 cm | |
| 304. |
Find the area of a trapezium whose parallel sides have lengths of 12 cm and 18 cm respectively and the shortest distance between them is 20 cm. |
| A. | 600 cm2 |
| B. | 195 cm2 |
| C. | 300 cm2 |
| D. | 210 cm2 |
| Answer» D. 210 cm2 | |
| 305. |
In ΔABC, AD, the bisector of ∠A, meets BC at D. If BC = a, AC = b and AB = c, then BD – DC = |
| A. | a(c - b)/(c + b) |
| B. | ab/(b + c) |
| C. | ac/(b + c) |
| D. | a(c + b)/(c - b) |
| Answer» B. ab/(b + c) | |
| 306. |
A rectangular park was redesigned and as a result of which its length increased by 50%. If the area of the park, remained unchanged, then by how much percentage the breadth had been reduced? |
| A. | 40.33% |
| B. | 33.33% |
| C. | 50% |
| D. | 25% |
| Answer» C. 50% | |
| 307. |
Find the area of the semicircle of radius 7 m. |
| A. | 49 m2 |
| B. | 22 m2 |
| C. | 154 m2 |
| D. | 77 m2 |
| Answer» E. | |
| 308. |
If y-axis is generator line of the cone ax2 + by2 + cz2 + 2fyz + 2gzx + 2hxy = 0, then value of b is equal to |
| A. | 1 |
| B. | -1 |
| C. | 0 |
| D. | None of these |
| Answer» D. None of these | |
| 309. |
If the base radius of 2 cylinders are in the ratio 3 : 4 and their heights are in the ratio 4 : 9, then the ratio of their volumes is: |
| A. | 1 : 2 |
| B. | 1 : 4 |
| C. | 4 : 1 |
| D. | 2 : 1 |
| Answer» C. 4 : 1 | |
| 310. |
In the figure given below, the diameter of the bigger semicircle is 108 cm. What is the area of the shaded region? |
| A. | 201π cm2 |
| B. | 186.3π cm2 |
| C. | 405π cm2 |
| D. | 769.5π cm2 |
| Answer» D. 769.5π cm2 | |
| 311. |
If diameter of a circle is 21 cm, then what will be the circumference of circle? |
| A. | 264 cm |
| B. | 128 cm |
| C. | 66 cm |
| D. | 132 cm |
| Answer» D. 132 cm | |
| 312. |
If l is the length of the median of an equilateral triangle, then what is its area? |
| A. | \(\frac{{\sqrt 3 {l^2}}}{3}\) |
| B. | \(\frac{{\sqrt 3 {l^2}}}{2}\) |
| C. | \(\sqrt 3 {l^2}\) |
| D. | 2l2 |
| Answer» B. \(\frac{{\sqrt 3 {l^2}}}{2}\) | |
| 313. |
Length of a rectangle is 7 cm more than its breadth and length of diagonal of the rectangle is 13 cm. What is the area of a square having perimeter same as the perimeter of given rectangle? |
| A. | 36.25 cm2 |
| B. | 42.25 cm2 |
| C. | 56.25 cm2 |
| D. | 72.25 cm2 |
| Answer» E. | |
| 314. |
Curved surface area of Cone P is seven times the curved surface area of Cone Q. Slant height of Cone Q is seven times the slant height of Cone P. What will be the ratio of the area of the base of Cone P to the area of the base of Cone Q? |
| A. | 2401 : 1 |
| B. | 343 : 1 |
| C. | 49 : 1 |
| D. | 7 : 1 |
| Answer» B. 343 : 1 | |
| 315. |
A piece of wire 132 cm long is bent successively in the shape of an equilateral triangle, a square and a circle. Then the area will be the longest in the shape of: |
| A. | Circle |
| B. | Equilateral triangle |
| C. | Square |
| D. | Equal in all the shapes |
| Answer» B. Equilateral triangle | |
| 316. |
A water tank is 5 m long, 3 m broad and 1 m deep. How many litres of water can it hold? |
| A. | 810 L |
| B. | 720 L |
| C. | 15,000 L |
| D. | 729 L |
| Answer» D. 729 L | |
| 317. |
If the radius of a right circular cylinder open at both the ends, is decreased by 25% and the height of the cylinder is increased by 25%. Then the curved surface area of the cylinder thus formed |
| A. | remains unaltered |
| B. | is increased by 25% |
| C. | is increased by 6.25% |
| D. | is decreased by 6.25% |
| Answer» E. | |
| 318. |
A rectangular sheet of length 42 cm and breadth 14 cm is cut from a circular sheet. What is the minimum area (in cm2) of circular sheet? |
| A. | 3080 |
| B. | 1540 |
| C. | 770 |
| D. | 1030 |
| Answer» C. 770 | |
| 319. |
Find the total surface area (in cm2) of a hemisphere of diameter 21 cm. |
| A. | 1039.5 |
| B. | 844.5 |
| C. | 637 |
| D. | 472 |
| Answer» B. 844.5 | |
| 320. |
If a sphere of radius r is melted and recasted into a cone of height h, then the radius of the base of the cone will be |
| A. | \(3 \sqrt{\dfrac{r^3}{h}}\) |
| B. | \(3 \sqrt{\dfrac{r}{h^3}}\) |
| C. | \(2 \sqrt{\dfrac{r^3}{h}}\) |
| D. | None of the above |
| Answer» D. None of the above | |
| 321. |
Area of a rectangular window is 420 sq ft. One half of the window has 1cm2 grill, while the other half has a 3 cm2grill. Then the ratio of the area of grills in the 2nd half to the 1st half of window |
| A. | 3 ∶ 1 |
| B. | 1 ∶ 3 |
| C. | 2 ∶ 3 |
| D. | 3 ∶ 2 |
| Answer» B. 1 ∶ 3 | |
| 322. |
How many vertices does a triangular prism have? |
| A. | 4 |
| B. | 6 |
| C. | 5 |
| D. | 8 |
| Answer» C. 5 | |
| 323. |
From solid cylinder with base diameter 14 cm and height 20 cm hemispherical parts were cut from both the ends of the cylinder. Find the volume of the resultant object? |
| A. | 4312/3 cm3 |
| B. | 4928/3 cm3 |
| C. | 9240/3 cm3 |
| D. | 13552/3 cm3 |
| Answer» C. 9240/3 cm3 | |
| 324. |
A rectangular tank of 10 m long and 5 m wide contains water upto a height of 2 m. How much area will have wet surface? |
| A. | 130 m2 |
| B. | 110 m2 |
| C. | 120.5 m2 |
| D. | 125 m2 |
| Answer» C. 120.5 m2 | |
| 325. |
If the area of an equilateral triangle is 36√3 cm2, then the perimeter of the triangle is: |
| A. | 36 cm |
| B. | 36√3 cm |
| C. | 12 cm |
| D. | 18√3 cm |
| Answer» B. 36√3 cm | |
| 326. |
Dimensions of floor of a rectangular hall are 4 m × 3 m. The floor is to be tiled fully with 8 cm × 6 cm rectangular tiles without breaking tiles to smaller tiles. Find the number of tiles required? |
| A. | 2500 |
| B. | 2200 |
| C. | 2400 |
| D. | 2350 |
| Answer» B. 2200 | |
| 327. |
In a rectangle, length : breadth = 4 : 3. What is the value of length : diagonal? |
| A. | 4 : 5 |
| B. | 4 : 7 |
| C. | 1 : 5 |
| D. | 2 : 3 |
| Answer» B. 4 : 7 | |
| 328. |
Find the surface area (in cm) of a cube with one of its side as 6 cm. |
| A. | 216 |
| B. | 296 |
| C. | 286 |
| D. | 36 |
| Answer» B. 296 | |
| 329. |
If the length (L cm) and breadth (B cm) of a rectangle are increased by 25%. find the difference between the areas of the old and new rectangles.A. 3LB/2 sq.cmB. 24LB/9 sq.cmC. 9LB/16 sq.cmD. 16LB/9 sq.cm |
| A. | D |
| B. | A |
| C. | C |
| D. | B |
| Answer» D. B | |
| 330. |
A ribbon of uniform width and length l is wound around a right circular cylinder to completely cover its curved surface. If the circumference of the base of the cylinder is c, then the number of turns of the ribbon around the cylinder is: |
| A. | 1/4c |
| B. | 2l/c |
| C. | l/c |
| D. | 1/2c |
| Answer» D. 1/2c | |
| 331. |
If each side of a rectangular field is increased by 32%, then by how much percent does the area of the field increase? |
| A. | 64% |
| B. | 72.84% |
| C. | 67.74% |
| D. | 74.24% |
| Answer» E. | |
| 332. |
In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in cm2) of the shaded region? |
| A. | 414.46 |
| B. | 382.82 |
| C. | 406.48 |
| D. | 394.24 |
| Answer» E. | |
| 333. |
If R and r denote the external and internal radii of a hollow right circular cylinder respectively and h is the height, then the total surface area becomes |
| A. | 2π(R+r)(R+h-r) |
| B. | 2π(R+r)(R+h) |
| C. | 2π(R+r) |
| D. | 10π(R+r) |
| Answer» B. 2π(R+r)(R+h) | |
| 334. |
Four identical cones each of radius 10.5 cm and height 14 cm are cut from a cuboid of dimensions 30 cm × 32 cm × 40 cm (base of each cone lies on the surface of cuboid). What is the total surface area (in cm2) of the remaining solid? |
| A. | 6528 |
| B. | 7804 |
| C. | 5926 |
| D. | 6824 |
| Answer» C. 5926 | |
| 335. |
A diagonal of a quadrilateral is 40 cm. The length of the perpendiculars from opposite vertices is 7.5 cm and 8.6 cm. The area of the quadrilateral is∶ |
| A. | 288 cm2 |
| B. | 322 cm2 |
| C. | 434 cm2 |
| D. | 368 cm2 |
| Answer» C. 434 cm2 | |
| 336. |
In the given figure, there are three semi circles ABC, AEF and CDF. The distance between A and C is 28 units and F is the mid-point of AC. What is the total area of the three semi circles? |
| A. | 924 square units |
| B. | 824 square units |
| C. | 624 square units |
| D. | 462 square units |
| Answer» E. | |
| 337. |
A wheel has a diameter of 84 cm. How many revolutions should it make to cover a distance of 792 m? (π = 22/7) |
| A. | 298 |
| B. | 300 |
| C. | 312 |
| D. | 256 |
| Answer» C. 312 | |
| 338. |
A right prism has height 18cm and its base is a triangle with sides 5cm, 8 cm and 12 cm. What is its lateral surface area (in cm2)? |
| A. | 432 |
| B. | 486 |
| C. | 468 |
| D. | 450 |
| Answer» E. | |
| 339. |
If the radius of a cylinder is increased by 10% and its height is decreased by 10%, then its curved surface area will : |
| A. | increase by 1% |
| B. | increase by 10% |
| C. | decrease by 1% |
| D. | decrease by 0.1% |
| Answer» D. decrease by 0.1% | |
| 340. |
If the side of a square increases by 20%, then what will be a percent increase in its perimeter? |
| A. | 44% |
| B. | 20% |
| C. | 80% |
| D. | 40% |
| Answer» C. 80% | |
| 341. |
A rectangular water reservoir contains 42,000 litres of water. Find the depth of water in the reservoir, if the base measures 6m by 3.5m |
| A. | 1 m |
| B. | 2.5 m |
| C. | 3 m |
| D. | 2 m |
| Answer» E. | |
| 342. |
A field is in the shape of a parallelogram. Its two adjacent sides and one diagonal are of length 65 m, 119 m and 156 m respectively. Then its area will be |
| A. | 7150 m2 |
| B. | 6150 m2 |
| C. | 7140 m2 |
| D. | None of the above |
| Answer» D. None of the above | |
| 343. |
One side of a triangle is 5 cm and the other side is 10 cm and its perimeter is P cm, where P is an integer. The least and the greatest possible values of P are respectively |
| A. | 20 and 28 |
| B. | 21 and 29 |
| C. | 22 and 27 |
| D. | 19 and 29 |
| Answer» C. 22 and 27 | |
| 344. |
A piece of wire is in the form of a sector of a circle of radius 20 cm, subtending an angle 150° at the centre. If it is bent in the form of a circle, then what will be its radius? |
| A. | 19/3 cm |
| B. | 7 cm |
| C. | 8 cm |
| D. | None of the above |
| Answer» E. | |
| 345. |
If area of a circle and a square are same, then what is the ratio of their perimeters? |
| A. | \(2\sqrt \pi \) |
| B. | \(\sqrt \pi \) |
| C. | \(\frac{{\sqrt \pi }}{2}\) |
| D. | \(\frac{{\sqrt \pi }}{4}\) |
| Answer» D. \(\frac{{\sqrt \pi }}{4}\) | |
| 346. |
A square ground is to be covered by planting 100 saplings on each side. How many saplings are needed in all? |
| A. | 400 |
| B. | 404 |
| C. | 396 |
| D. | 408 |
| Answer» D. 408 | |
| 347. |
If length and breadth of a rectangle are increased by 15% and 20% respectively, then what will be the percentage increase in area? |
| A. | 37 |
| B. | 40 |
| C. | 35 |
| D. | 38 |
| Answer» E. | |
| 348. |
How much will the height of the cuboid made by melting the cube having diagonal 22√3 cm? If the length of the cuboid is equal to the arm of the cube, and the width of the cuboid is 11 cm. (in cm) |
| A. | 44 |
| B. | 46 |
| C. | 47 |
| D. | 45 |
| Answer» B. 46 | |
| 349. |
An equilateral triangle of side 6 cm is inscribed in a circle,then the radius of the circle is: |
| A. | 2√3 cm |
| B. | 3√2 cm |
| C. | 4√3 cm |
| D. | √3 cm |
| Answer» B. 3√2 cm | |
| 350. |
If the height and radius of a cone of volume ‘V’ are doubled, then the volume of the new cone is: |
| A. | 6V |
| B. | 2V |
| C. | 4V |
| D. | 8V |
| Answer» E. | |