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.
| 1251. |
If the circumference of a circle is 22 cm, then what must be its area (in cm²)? |
| A. | 77 |
| B. | 38.5 |
| C. | 31.5 |
| D. | 63 |
| Answer» C. 31.5 | |
| 1252. |
If a closed metallic conical tank is 4 m deep and its circular top has diameter 6 m, then the area of the metallic sheet required to make the tank is (take π = 3.14): |
| A. | 75.36 m2 |
| B. | 47.1 m2 |
| C. | 58.3 m2 |
| D. | 62.12 m2 |
| Answer» B. 47.1 m2 | |
| 1253. |
A solid metallic right circular cylinder of base diameter 16 cm and height 2 cm is melted and recast into a right circular cone of height three times that of the cylinder. What is the curved surface area (in cm2) of the cone? (Take π = 3.14) |
| A. | 248.4 |
| B. | 249.6 |
| C. | 251.2 |
| D. | 254.4 |
| Answer» D. 254.4 | |
| 1254. |
A water tank is 3 m long, 2 m broad and 1 m deep. How many litres of water can it hold? |
| A. | 60 liters |
| B. | 60000 liters |
| C. | 6000 liters |
| D. | 600 liters |
| Answer» D. 600 liters | |
| 1255. |
A cylinder of height 2x cm is circumscribed by a sphere of radius 2x cm such that the circular ends of the cylinder are two small circles on the sphere. What is the ratio of the curved surface area of the cylinder to the surface area of the sphere? |
| A. | √3 : 4 |
| B. | √3 : 3 |
| C. | √3 : 2 |
| D. | √3 : 1 |
| Answer» B. √3 : 3 | |
| 1256. |
If the perimeter of a semicircular park is 360 m, then what is its area? (Take π = 22/7) |
| A. | 3850 m2 |
| B. | 7700 m2 |
| C. | 11550 m2 |
| D. | 15400 m2 |
| Answer» C. 11550 m2 | |
| 1257. |
A solid cube of volume 13824 cm3 is cut into 8 cubes of equal volumes. The ratio of the surface area of the original cube to the sum of the surface areas of three of the smaller cubes is: |
| A. | 8 : 3 |
| B. | 2 : 3 |
| C. | 4 : 3 |
| D. | 2 : 1 |
| Answer» D. 2 : 1 | |
| 1258. |
A pyramid has a square base, whose side is 8 cm. If the height of pyramid is 16 cm, then what is the total surface area (in cm2) of the pyramid? |
| A. | 64(√17 + 1) |
| B. | 32(√13 + 1) |
| C. | 64(√3 + 1) |
| D. | 32(√5 + 1) |
| Answer» B. 32(√13 + 1) | |
| 1259. |
Consider the length of a room is 15 m and width is 10 m. If the sum of the areas of the floor and ceiling is equal to the sum of the areas of the four walls, then the volume of the room i s |
| A. | 900 m3 |
| B. | 1000 m3 |
| C. | 1200 m3 |
| D. | 1500 m3 |
| Answer» B. 1000 m3 | |
| 1260. |
A metallic sphere is melted and moulded to form conical bullets. If radius of a conical bullet is six times of its own height and the radius of the conical bullet is half of the radius of the metallic sphere, then what are the numbers of bullets formed? |
| A. | 125 |
| B. | 215 |
| C. | 176 |
| D. | 192 |
| Answer» E. | |
| 1261. |
A solid sphere has a radius 21 cm. It is melted to form a cube. 20% material is wasted in this process. The cube is melted to form hemisphere. In this process 20% material is wasted. The hemisphere is melted to form two spheres of equal radius. 20% material was also wasted in this process. What is the radius (in cm) of each new sphere? |
| A. | \(4.2\left( {\sqrt[3]{2}} \right)\) |
| B. | \(2.2\left( {\sqrt[3]{2}} \right)\) |
| C. | \(2.2\left( {\sqrt[3]{4}} \right)\) |
| D. | \(8.4\left( {\sqrt[3]{4}} \right)\) |
| Answer» E. | |
| 1262. |
A circle is inscribed in an equilateral triangle of side 30 cm. What is the area of the circle (in cm2)? |
| A. | 60π |
| B. | 45π |
| C. | 50π |
| D. | 75π |
| Answer» E. | |
| 1263. |
If the radii of circles A and B are in the ratio 1.5 : 1, then the areas of the circles A and B will be in the ratio |
| A. | 1.5 : 1 |
| B. | 2 : 1 |
| C. | 2.25 : 1 |
| D. | 2.5 : 1 |
| E. | None of the above / More than one of the above |
| Answer» D. 2.5 : 1 | |
| 1264. |
If the circumference of a circle is 44 cm, then its area is: |
| A. | 116 cm2 |
| B. | 128 cm2 |
| C. | 148 cm2 |
| D. | 154 cm2 |
| Answer» E. | |
| 1265. |
Find the total surface area (in cm2) of a right circular cylinder of diameter 28 cm and height 12 cm. |
| A. | 2200 |
| B. | 2080 |
| C. | 1920 |
| D. | 2288 |
| Answer» E. | |
| 1266. |
In a triangle ΔABC, AB = 39 cm, BC = 80 cm, and AC = 89 cm then the triangle will be |
| A. | acute angled |
| B. | impossible |
| C. | abtuse angled |
| D. | right angled |
| Answer» E. | |
| 1267. |
A hemisphere of radius 30 cm is moulded to form a cylinder of height 180 cm. The diameter of the cylinder is: |
| A. | 15 cm |
| B. | 10 cm |
| C. | 5 cm |
| D. | 20 cm |
| Answer» E. | |
| 1268. |
A right circular cylinder just encloses a sphere. If p is the surface area of the sphere and q is the curved surface area of the cylinder, then which one of the following is correct? |
| A. | p = q |
| B. | p = 2q |
| C. | 2p = q |
| D. | 2p = 3q |
| Answer» B. p = 2q | |
| 1269. |
Find the perimeter (in cm) of a semicircle of radius 7 cm. |
| A. | 36 |
| B. | 72 |
| C. | 44 |
| D. | 88 |
| Answer» B. 72 | |
| 1270. |
A rectangular paper of width 7 cm is rolled along its width and a cylinder of radius 9 cm is formed. The volume of the cylinder is:(Take π = 22/7) |
| A. | 1525 cm3 |
| B. | 900 cm3 |
| C. | 1750 cm3 |
| D. | 1782 cm3 |
| Answer» E. | |
| 1271. |
A solid cylinder has a total surface area of 231cm2. Its curved surface area is 2/3 of the total surface area. Find the volume of the cylinder. |
| A. | 332 cm3 |
| B. | 269.5 cm3 |
| C. | 314.2 cm3 |
| D. | 32 cm3 |
| Answer» C. 314.2 cm3 | |
| 1272. |
Find the length of a rectangle whose diagonal and area is 25 cm and 168 cm2 respectively: |
| A. | 31 cm |
| B. | 24 cm |
| C. | 17 cm |
| D. | 9 cm |
| Answer» C. 17 cm | |
| 1273. |
A cone of height 24 cm has a curved surface area 550 cm2. What is the ratio of its radius to slant height? (Take π = 22/7) |
| A. | \(\frac{5}{{12}}\) |
| B. | \(\frac{5}{{13}}\) |
| C. | \(\frac{7}{{25}}\) |
| D. | \(\frac{7}{{27}}\) |
| Answer» D. \(\frac{7}{{27}}\) | |
| 1274. |
If the length of a rectangle is doubled & the breath is reduced to half, then the area of the new rectangle goes up by |
| A. | 50% |
| B. | 0% |
| C. | 100% |
| D. | 150% |
| Answer» C. 100% | |
| 1275. |
Base diameter of cone is 16 cm and the height is 24 mm, the volume of the cone is ________ |
| A. | 160.92 cm3 |
| B. | 172.46 cm3 |
| C. | 166.62 cm3 |
| D. | 152.33 cm3 |
| Answer» B. 172.46 cm3 | |
| 1276. |
ABCD is a trapezium, such that AB = CD and AD || BC. AD = 10 cm and BC = 18 cm. If the area of ABCD is 70 cm2, then what is the value (in cm) of CD? |
| A. | 5 |
| B. | √29 |
| C. | √41 |
| D. | 6 |
| Answer» D. 6 | |
| 1277. |
In an equilateral triangle, another equilateral triangle is drawn inside joining the mid-points of the sides of the given equilateral triangle and the process continues up to seven times. What is the ratio of the area of fourth triangle to that of seventh triangle? |
| A. | 256 : 1 |
| B. | 128 : 1 |
| C. | 64 : 1 |
| D. | 16 : 1 |
| Answer» D. 16 : 1 | |
| 1278. |
If the sides of a rectangle are in the ratio 5:4 and its perimeter is 54 cm, then its length is: |
| A. | 30 cm |
| B. | 24 cm |
| C. | 15 cm |
| D. | 18 cm |
| Answer» D. 18 cm | |
| 1279. |
If the ratio of the radii of two circles is 3 : 4, then the ratio of their circumference is: |
| A. | 4 : 3 |
| B. | 16 : 9 |
| C. | 3 : 4 |
| D. | 9 : 16 |
| Answer» D. 9 : 16 | |
| 1280. |
In triangle ABC, ∠ABC = 90°. BP is drawn perpendicular to AC. If ∠BAP = 50°, then what is the value (in degrees) of ∠PBC? |
| A. | 30 |
| B. | 45 |
| C. | 50 |
| D. | 60 |
| Answer» D. 60 | |
| 1281. |
A solid cylinder of base radius 12 cm and height 15 cm is melted and recast into n toys each in the shape of a right circular cone of height 9 cm mounted on a hemisphere of radius 3 cm. The value of n is: |
| A. | 54 |
| B. | 27 |
| C. | 64 |
| D. | 48 |
| Answer» E. | |
| 1282. |
In an equilateral triangle, incentre, circumcentre and orthocentre are |
| A. | Collinear |
| B. | concylic |
| C. | concurrent |
| D. | None of these |
| Answer» B. concylic | |
| 1283. |
A radius of a circular wheel is 21 cm. How many revolutions will it make in travelling 924 meters? (Take π = 22/7) |
| A. | 200 |
| B. | 11 |
| C. | 740 |
| D. | 700 |
| Answer» E. | |
| 1284. |
In the given figure, AB = AC and OB = OC. Find ∠ABO : ∠ACO. |
| A. | 1 : 4 |
| B. | 1 : 1 |
| C. | 1 : 2 |
| D. | 2 : 1 |
| Answer» C. 1 : 2 | |
| 1285. |
If radius of a sphere is 7 cm then find its Surface Area? |
| A. | 616 cm2 |
| B. | 161 cm2 |
| C. | 116 cm2 |
| D. | 636 cm2 |
| Answer» B. 161 cm2 | |
| 1286. |
If the perimeter of a semi-circle is 144 cm, then find its radius (in cm). |
| A. | 56 |
| B. | 29 |
| C. | 28 |
| D. | 58 |
| Answer» D. 58 | |
| 1287. |
A field is 119 m × 18 m in dimension. A tank 17 m × 6 m × 3 m is dug out in the middle and the soil removed is evenly spread over the remaining part of the field. The increase in level on the remaining part of the field is∶ |
| A. | 14 cm |
| B. | 13 cm |
| C. | 15 cm |
| D. | 12 cm |
| Answer» D. 12 cm | |
| 1288. |
AD is the diameter of a circle with area 707 m2 and AB = BC = CD as shown in the figure above. All curves inside the circles are semicircles with their diameters on AD. What is the cost of leveling the shaded region at the rate of Rs 63 per square meter? |
| A. | Rs 29,700 |
| B. | Rs 22,400 |
| C. | Rs 14,847 |
| D. | None of the above |
| Answer» D. None of the above | |
| 1289. |
In the figure below, the radius of circle P is 10 units. The arc length of ABC is 16π. What is the arc measure of AC, in degrees ? |
| A. | 288° |
| B. | 4π |
| C. | 20π |
| D. | 72° |
| Answer» E. | |
| 1290. |
Find the volume (in cm3) of a hemisphere of diameter 21 cm. |
| A. | 2235.5 |
| B. | 2425.5 |
| C. | 2040 |
| D. | 1860 |
| Answer» C. 2040 | |
| 1291. |
How many soap cakes of size 8 cm × 4.5 cm × 2 cm can be kept in a carton of size 11 m × 0.82 m × 0.63m? |
| A. | 81052 |
| B. | 75626 |
| C. | 73498 |
| D. | 78925 |
| Answer» E. | |
| 1292. |
Calculate the volume of sphere with diameter 42 cm. |
| A. | 48007 cu cm |
| B. | 42963 cu cm |
| C. | 38808 cu cm |
| D. | 28660 cu cm |
| Answer» D. 28660 cu cm | |