mathematics MCQs – Page 46

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

2251. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
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A. 12

B. 9

C. 11

D. 10
2252. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. What is the speed of the car?
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A. 120 kmph

B. 102 kmph

C. 80 kmph

D. 140 kmph

2253. A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of
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A. 240

B. 120

C. 220

D. 260

2254. How much time does a train 125 metres long running at 60 km/hr take to pass a pole?
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A. 7.5s

B. 2.08s

C. 8s

D. 6s

2255. A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?
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A. 5

B. 8

C. 7

D. 6

2256. A boats man can row in still water at speed of 7 km/hr. It takes 6 hours more to travel the same distance in upstream than in downstream if the speed of the river is 3 km/hr. what is the distance between the two destinations?
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A. 30 km

B. 40 km

C. 20 km

D. 10 km

2257. Two trains are moving in opposite directions 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is_________?
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A. 45

B. 48

C. 36

D. 49

2258. A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km /hr, the time taken by it to cover the same distance will be :__________?
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A. 13 min

B. 11 min 20 sec

C. 13 min 20 sec

D. 10 min

2259. A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. Find the total journey in km.
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A. 230 km

B. 224 km

C. 220 km

D. 234 km

2260. Asghar traveled from his house to his office at 10 km/hr and returned at rate of 9 km/hr. Rohit travelled through the same path both ways at 12 km/hr and took 10 minutes less than Asghar. What is the distance between Asghars house and his office?
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A. 3000m

B. 3750m

C. 7000m

D. 7500m

2261. A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?
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A. 40 km/hr

B. 25 km/hr

C. 35 km/hr

D. 30 km/hr

2262. In a race, a car travelled at a speed of 150 kmph. If it had travelled at 180 kmph, it would have completed the race before 3 minutes. Find the length of the track.
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A. 45 km

B. 30 km

C. 50 km

D. 40 km

2263. A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?
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A. 40

B. 47.5

C. 45

D. 50

2264. Barkat is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M. ?
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A. 8 kmph

B. 11 kmph

C. 12 kmph

D. 14 kmph

2265. A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?
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A. 10.2 kmph

B. 10.8 kmph

C. 10 kmph

D. 11.2 kmph

2266. A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.
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A. 40 km

B. 80 km

C. 30 km

D. 70 km
2267. Two trains 120 miles apart travel towards each other. The 1st train travels at 70 mph while the 2nd at 50 mph. A bird starts flying from the location of the faster train towards the other train at 85 mph and when it reaches the slower train it turns back and flies in the other direction at the same speed. When it reaches the faster train it again turns around and repeats the same procedure again and again. When the train collide, how far will the bird have flown?
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A. 50 miles

B. 70 miles

C. 120 miles

D. 85 miles
2268. A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at :___________?
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A. 7.42 a.m.

B. 7.48 a.m.

C. 8.30 a.m.

D. 8.10 a.m.

2269. An express train travelled at an average speed of 100 km / hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point ?
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A. 6 hrs 30 min

B. 6 hrs 27 min

C. 6 hrs 21 min

D. 6 hrs 24 min

2270. A man covered a certain distance at some speed. If he had moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. What is the the distance in km?
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A. 52

B. 41

C. 40

D. 36

2271. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 5/3 hours, it must travel at a speed of:_________?
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A. 660 km/hr

B. 720 km/hr

C. 700 km/hr

D. 680 km/hr

2272. Danish his car at a speed of 120 kmph for the first 2 hours and then at a speed of 100 kmph for the next half an hour. Find the distance covered by him during the entire journey.
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A. 240 km

B. 290 km

C. 250 km

D. 300 km

2273. Atif and Bilal, 110 km apart, start cycling towards each other. If Atif covers a distance of 6 km to Bilals 5 km, how far will Atif have travelled when they meet?
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A. 50 km

B. 66 km

C. 60 km

D. 55 km

2274. A boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr. If he takes 5 hours in going and coming, the distance between his house and school is :___________?
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A. 5 km

B. 6 km

C. 6.5 km

D. 5.5 km

2275. Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60km/h and the other is moving at 40km/h mph. In how many hours will they meet?
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A. 1.75

B. 2.5

C. 1.5

D. 2

E. 1.25

2276. A car is running at a speed of 108 kmph. What distance will it cover in 15 seconds ?
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A. 55 metres

B. 450 metres

C. Cannot be determined

D. 45 metres

2277. A car gives a mileage of 20 km per liter of petrol when driven at a constant speed of 50 kmph but the mileage decreases by 10% when driven at a speed of 70 kmph. How many km can the car travel with 12 liters of petrol if it travels a speed of 70 kmph?
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A. 216 km

B. 228 km

C. 240 km

D. 200 km

2278. A car travels 50% faster than a bike. Both start at the same time from A to B. The car reaches 25 minutes earlier than the bike. If the distance from A to B is 100 km, find the speed of the bike.
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A. 75 km

B. 100 km

C. 120 km

D. 80 km
2279. The area of the square formed on the diagonal of a rectangle as its side is 108 1/3 % more than the area of the rectangle. If the perimeter of the rectangle is 28 units, find the difference between the sides of the rectangle?
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A. 6

B. 12

C. 2

D. 8

2280. The sector of a circle has radius of 21 cm and central angle 135o. Find its perimeter?
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A. 92.5 cm

B. 93.5 cm

C. 91.5 cm

D. 94.5 cm

2281. The ratio of the volumes of two cubes is 729 : 1331. What is the ratio of their total surface areas?
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A. 9:11

B. 27:12:00

C. 81 : 121

D. 729 : 1331

2282. The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
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A. 4312 sq m

B. 4192 sq m

C. 4360 sq m

D. 4304 sq m

2283. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
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A. 25 cm2

B. 42 cm2

C. 49 cm2

D. None of these
2284. What is the are of an equilateral triangle of side 16 cm?
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A. 48?3 cm2

B. 9.6?3 cm2

C. 64?3 cm2

D. 128?3 cm2

2285. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
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A. 1 : 96

B. 1:48

C. 0.1

D. 0.088888889

2286. A 25 cm wide path is to be made around a circular garden having a diameter of 4 meters. Approximate area of the path is square meters is__________?
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A. 5.5

B. 3.34

C. 2

D. 4.5

2287. There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?
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A. 12 ? cm

B. 24 ? cm

C. 32 ? cm

D. 16 ? cm

2288. The parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
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A. 94.94 cm

B. 84.92 cm

C. 23.57 cm

D. 47.14 cm

2289. The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
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A. 18 m

B. 21 m

C. 27 m

D. 24 m

2290. The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
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A. 5:14

B. None of these

C. 18:05

D. 7:16

2291. The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 5 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
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A. Rs. 3560

B. Rs. 3600

C. Rs. 4800

D. Rs. 4530
2292. What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 58?
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A. None of these

B. Rs. 3828

C. Rs. 3944

D. Rs. 4176

2293. The volumes of two cones are in the ratio 1 : 10 and the radii of the cones are in the ratio of 1 : 2. What is the length of the wire?
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A. 1:05

B. 4:05

C. 2 : 5

D. 3:05

2294. The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
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A. 162 sq cm

B. 72 sq cm

C. Cannot be determined

D. 200 sq cm

2295. A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
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A. 18 cm

B. 45 cm

C. 90 cm

D. None of these
2296. The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions.
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A. 808 m

B. 704 m

C. 352 m

D. 252 m

2297. The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?
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A. 400 cm

B. 1000 cm

C. 600 cm

D. 800 cm

2298. Find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm?
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A. 360 sq.m

B. 480 sq.m

C. 225 sq.m

D. 600 sq.m
2299. Find the area of a parallelogram with base 24 cm and height 16 cm.
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A. 384 cm2

B. 192 cm2

C. 262 cm2

D. 131 cm2

2300. The length of a rectangle is two fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
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A. 156

B. 175

C. 140

D. 214