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MCQOPTIONS
This section includes 3977 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1301. |
Q: The area of a triangle with vertices A (0, 8), O (0, 0), and B (5, 0) is : |
| A. | 8 sq. units |
| B. | 13 sq. units |
| C. | 20 sq. units |
| D. | 40 sq. units |
| Answer» D. 40 sq. units | |
| 1302. |
Q: The area of a triangle is 456 sq.cm and its height is 24 cm. The length of its base is |
| A. | 32 |
| B. | 34 |
| C. | 36 |
| D. | 38 |
| Answer» E. | |
| 1303. |
Q: The area of a triangle is 24 square cm. If one side of it is 4 cm, what will be the height of the triangle? |
| A. | 15 cm |
| B. | 18 cm |
| C. | 24 cm |
| D. | 12 cm |
| Answer» E. | |
| 1304. |
Q: The area of a square is 1764 cm2 . The length of a rectangle is 4/7 of the side of the square and breadth of the rectangle is half its length. What is the perimeter of the rectangle? |
| A. | 82 cm. |
| B. | 66 cm. |
| C. | 78 cm. |
| D. | 72 cm. |
| E. | 70 cm |
| Answer» E. 70 cm | |
| 1305. |
Q: The area of a rhombus is 216 cm2 and the length of its one diagonal is 24 cm . The perimeter ( in cm ) of the rhombus is |
| A. | 52 |
| B. | 60 |
| C. | 120 |
| D. | 100 |
| Answer» C. 120 | |
| 1306. |
Q: The area of a rhombus is 144 square units. The length of one of its diagonals is twice the length of other diagonal. What is the sum of length of its diagonals? |
| A. | 12 units |
| B. | 18 units |
| C. | 24 units |
| D. | 36 units |
| Answer» E. | |
| 1307. |
Q: The area of a rectangle with 10 cm length is equal to the area of a circle. Find the circumference of the circle. |
| A. | 36 cm |
| B. | 34 cm |
| C. | 26 cm |
| D. | cannot be determined |
| Answer» E. | |
| 1308. |
Q: The area of a circle is proportional to the square of its radius. A small circle of radius 3 cm is drawn within a larger circle of radius 5 cm. Find the ratio of the difference between the area of the larger circle and that of the smaller circle to the area of the larger circle. |
| A. | 16:25:00 |
| B. | 09:25:00 |
| C. | 09:16:00 |
| D. | 16:27:00 |
| Answer» B. 09:25:00 | |
| 1309. |
Q: The area of a circle is 616 sq cm, find its circumference? |
| A. | 44 cm |
| B. | 88 cm |
| C. | 22 cm |
| D. | 176 cm |
| Answer» C. 22 cm | |
| 1310. |
Q: The area of a circle, is 3850 sq.m. What will be its circumference? |
| A. | 233 m |
| B. | 226 m |
| C. | 230 m |
| D. | 220 m |
| E. | 249 m |
| Answer» E. 249 m | |
| 1311. |
Q: The area ( in m² ) of the square which has the same perimeter as a rectangle whose length is 48 m and is 3 times its breadth is : |
| A. | 1600 |
| B. | 1042 |
| C. | 1000 |
| D. | 1024 |
| Answer» E. | |
| 1312. |
Q: The area covered by a square is 308 square cm. The length of the diagonal of the square is. |
| A. | 16 cm |
| B. | 28 cm |
| C. | 24 cm |
| D. | 22 cm |
| Answer» C. 24 cm | |
| 1313. |
Q: The area enclosed between the circumferences of two concentric circles is 45π square cm and their radii are in the ratio of 3:2. What is the area off the outer circle? |
| A. | 49 π sq.cm |
| B. | 81 π sq.cm |
| C. | 100 π sq.cm |
| D. | 64 π sq.cm |
| Answer» C. 100 π sq.cm | |
| 1314. |
Q: The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is |
| A. | $$2{1\over2}$$ |
| B. | 3 |
| C. | 2 |
| D. | $$2{1\over3}$$ |
| Answer» B. 3 | |
| 1315. |
Q: The annual payment of Rs.1000 in 5 years at 4% per annum simple interest will discharge a debt of |
| A. | Rs.5440 |
| B. | Rs.5400 |
| C. | Rs.5600 |
| D. | Rs.5800 |
| Answer» C. Rs.5600 | |
| 1316. |
Q: The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 80 metre are 60° and 45° respectively. The distance of the base of the tower from the base of the building is:- |
| A. | $$ 40 {(\sqrt{3}-1)}\ metre $$ |
| B. | $$ 40 {(3+\sqrt{3})}\ metre $$ |
| C. | $$ 40 {(3-\sqrt{3})}\ metre $$ |
| D. | $$ 40({\sqrt{3}}+1)\ meter$$ |
| Answer» E. | |
| 1317. |
Q: The angles of elevation of top and bottom of flag kept on a flag post from 30 metres distance, are 45 ° and 30 ° respectively. Height of the flag is [ taking 13 = 1.732) |
| A. | 14.32 m |
| B. | 12.68 m |
| C. | 12 √3 m |
| D. | 15 m |
| Answer» C. 12 √3 m | |
| 1318. |
Q: The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60o and 30o respectively. The height of the temple is more than the building. The height of the temple is- |
| A. | 72 m |
| B. | 75 m |
| C. | 60 m |
| D. | 65 m |
| Answer» B. 75 m | |
| 1319. |
Q: The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60° and 30°, respectively. The ratio of the heights of the tower is |
| A. | 02:01:00 |
| B. | √3 : 1 |
| C. | 03:02:00 |
| D. | 03:01:00 |
| Answer» E. | |
| 1320. |
Q: The angle of elevation of the top of a tree 220 metres high from two points lies on the same plane are 30° and 45°. What is the distance (in metres) between the two points? |
| A. | 193.22 |
| B. | 161.05 |
| C. | 144.04 |
| D. | 176.12 |
| Answer» C. 144.04 | |
| 1321. |
Q: The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are 159 and 30° respectively. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is; |
| A. | 24√2 meter |
| B. | 96 meter |
| C. | 25√3 meter |
| D. | 24 meter |
| Answer» E. | |
| 1322. |
Q: The angle of elevation of the top of a tower from the point P and Q at distance of 'a' and 'b' respectively from the base of the tower and in the same straight line with it are complementary . The height of the tower is |
| A. | $$ab$$ |
| B. | $$a^2b^2$$ |
| C. | $$\sqrt{ab}\ $$ |
| D. | $$\sqrt{a^2b}\ $$ |
| Answer» D. $$\sqrt{a^2b}\ $$ | |
| 1323. |
Q: The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is: |
| A. | $$ {30^0}$$ |
| B. | $$ {45^0}$$ |
| C. | $$ {60^0}$$ |
| D. | $$ {90^0}$$ |
| Answer» B. $$ {45^0}$$ | |
| 1324. |
Q: The angle of elevation of the top of a tower from a point A on the ground is 30o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60o.The height of the tower is- |
| A. | 5√3 |
| B. | 15 |
| C. | 10√3 |
| D. | 20√3 |
| Answer» D. 20√3 | |
| 1325. |
Q: The angle of elevation of sun changes form 30°to 45°, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732) |
| A. | 1.464 m |
| B. | 9.464 m |
| C. | 3.648 cm |
| D. | 5.464 m |
| Answer» E. | |
| 1326. |
Q: The angle of elevation of the foot of a house from the top of a tower is twice the angle made with the top of this house. If the height of the tower is 75 meters. And the elevation angle of the foot of the house from the top of the tower is 60 degrees. So what is the height of the house? |
| A. | 25 meter |
| B. | 37.5 meter |
| C. | 50 meter |
| D. | 60 meter |
| Answer» D. 60 meter | |
| 1327. |
Q: The angle of elevation of sun changes from 30 ° to 45 °, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732) |
| A. | 3.648 m |
| B. | 5.464 m |
| C. | 1.464 m |
| D. | 9.464 m |
| Answer» C. 1.464 m | |
| 1328. |
Q: The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is |
| A. | $$ {13\over √3} meters $$ |
| B. | 13 meters |
| C. | 15 meters |
| D. | 25 meters |
| Answer» C. 15 meters | |
| 1329. |
Q: The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is |
| A. | 50 √ 3 m |
| B. | $$ 50\over √3$$ m |
| C. | 75 √3 m |
| D. | $$ 75\over √3$$ m |
| Answer» C. 75 √3 m | |
| 1330. |
Q: The angle of elevation of an airplane flying at 1500 altitude from the earth to the airport is 60 degrees, find the horizontal distance of the aircraft from the airport. |
| A. | 866 Meter |
| B. | 856 Meter |
| C. | 800 Meter |
| D. | 500 Meter |
| Answer» B. 856 Meter | |
| 1331. |
Q: The angle of elevation of an aeroplane from a point on the ground is 60°. After flying for 15 second, the angle of elevation changes to 30°. If the Aeroplane is flying at a height of 4500 meter, then what is the speed (in m/s) of aeroplane? |
| A. | $$ {150\sqrt{3}}$$ |
| B. | $$ {200\sqrt{3}}$$ |
| C. | $$ {100\sqrt{3}}$$ |
| D. | $$ {50\sqrt{3}}$$ |
| Answer» C. $$ {100\sqrt{3}}$$ | |
| 1332. |
Q: The angle between the minute hand and the hour hand of a clock when the time is 8.30, is: |
| A. | 60 degree |
| B. | 75 degree |
| C. | 85 degree |
| D. | 90 degree |
| Answer» C. 85 degree | |
| 1333. |
Q: The angle between the minute hand and the hour hand of a clock when the time is 4.20, is: |
| A. | 0 degree |
| B. | 10 degree |
| C. | 15 degree |
| D. | 60 degree |
| Answer» C. 15 degree | |
| 1334. |
Q: The amount on ₹ 25000 in 2 years at annually compound interest. if the rate for the successive years be 4 % and 5 % per annum respectively is |
| A. | 28500 |
| B. | 30000 |
| C. | 26800 |
| D. | 27300 |
| Answer» E. | |
| 1335. |
Q: The amount of Rs 400 becomes Rs 480 in 4 years. If the rate of interest is increased by 2 percent, how much will it be? |
| A. | Rs. 484 |
| B. | Rs. 560 |
| C. | Rs. 512 |
| D. | None of these |
| Answer» D. None of these | |
| 1336. |
Q: The Ajmer express can move at 45 km./hr. without its rake and the speed is diminished by a constant that varies as the square root of the number of wagons attached. If it is known that with 9 wagons, the speed is 30 km./hr., what is the greatest number of wagons with which the train can just move? |
| A. | 63 |
| B. | 64 |
| C. | 80 |
| D. | 81 |
| Answer» E. | |
| 1337. |
Q: The ages of Sunitha and Pranitha are 40 years and 60 years, respectively. How many years before the ratio of their ages was 3 : 5? |
| A. | 10 years |
| B. | 15 years |
| C. | 18 years |
| D. | 24 years |
| Answer» B. 15 years | |
| 1338. |
Q: The ages of Shyam and Mohan are in the ratio of 11: 13 respectively after 7 years the ratio of their ages will be 20: 23. What is the difference in years between their ages? |
| A. | 4 years |
| B. | 7 years |
| C. | 6 years |
| D. | 5 years |
| Answer» D. 5 years | |
| 1339. |
Q: The age of Shipra can be obtained by subtracting three times her age 3 years ago from the three times her age after 3 years. What will her age after 2 years? |
| A. | 20 years |
| B. | 22 years |
| C. | 18 years |
| D. | 24 years |
| E. | None of these |
| Answer» B. 22 years | |
| 1340. |
Q: The age of a mother 10 years ago was thrice the age of her son. 10 years hence, the mother's age will be twice that of 9 her son. The ratio of their present ages is : |
| A. | 12:05:00 |
| B. | 06:01:00 |
| C. | 07:03:00 |
| D. | 04:02:00 |
| Answer» D. 04:02:00 | |
| 1341. |
Q: The 3rd and 8th term of an arithmetic progression are 19 and 49 respectively. What is the 13th term? |
| A. | 79 |
| B. | 43 |
| C. | 45 |
| D. | 49 |
| Answer» B. 43 | |
| 1342. |
Q: Ten years back A’s age was half of B’s age. If their present age ratio 3:4. What is the sum of their present age? |
| A. | 45 |
| B. | 25 |
| C. | 35 |
| D. | 40 |
| Answer» D. 40 | |
| 1343. |
Q: Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ? |
| A. | 69760 |
| B. | 69970 |
| C. | 67960 |
| D. | 65760 |
| E. | 69790 |
| Answer» B. 69970 | |
| 1344. |
Q: Tarun and Uday together can complete a piece of work in 16 days; Uday and Vivek together can complete the work in 28 4/5 days; while Tarun and Vivek together can complete the work in 18 days. In how many days can Tarun alone complete the work? |
| A. | 18 days |
| B. | 24 days |
| C. | 30 days |
| D. | 36 days |
| E. | None of these |
| Answer» C. 30 days | |
| 1345. |
Q: Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket? |
| A. | 7 min. 45 sec. |
| B. | 8 min. 5 sec. |
| C. | 7 min. 15 sec. |
| D. | 8 min 15 sec. |
| Answer» E. | |
| 1346. |
Q: Tapas works twice as fast as Mihir. If both of them together complete a work in 12 days, Tapas alone can complete it in |
| A. | 15 days |
| B. | 18 days |
| C. | 20 days |
| D. | 24 days |
| Answer» C. 20 days | |
| 1347. |
Q: Tank is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the cistern is full, in how many hours will the leak empty it? |
| A. | 45 |
| B. | 50 |
| C. | 40 |
| D. | 35 |
| Answer» D. 35 | |
| 1348. |
Q: $$ {tan^2θ}$$ is equal to:- |
| A. | $$ {1\over cot^2{θ}}$$ |
| B. | $$ {1\over sin^2{θ}}$$ |
| C. | $$ {1\over cosec^2{θ}}$$ |
| D. | $$ {1\over sec^2{θ}}$$ |
| Answer» B. $$ {1\over sin^2{θ}}$$ | |
| 1349. |
Q: $$ {tan7°tan23°tan60°tan67°tan83°}$$ is equal to- |
| A. | 0 |
| B. | $$ \sqrt{3}$$ |
| C. | $$ 1\over \sqrt{3}$$ |
| D. | None of these |
| Answer» C. $$ 1\over \sqrt{3}$$ | |
| 1350. |
Q: Taking all 6 companies together, how many wooden bats of Brand A have been produced? |
| A. | 691000 |
| B. | 724000 |
| C. | 683000 |
| D. | 716000 |
| Answer» B. 724000 | |