mathematics MCQs – Page 45

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 Review each marked answer and report any item that may be outdated or unclear.

2201. If Rs.7500 are borrowed at C.I at the rate of 4% per annum, then after 2 years the amount to be paid is_______?
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A. Rs.8112

B. Rs.8082

C. Rs.8100

D. Rs.7800

2202. Simple interest on a sum at 4% per annum for 2 years is Rs.80. The C.I. on the same sum for the same period is_______?
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A. Rs.99

B. Rs.1081.60

C. Rs.160

D. Rs.81.60
2203. Rs.8000 become Rs.9261 in a certain interval of time at the rate of 5% per annum of C.I. Find the time?
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A. 3 years

B. 4 years

C. 2 years

D. 6 years

2204. At the end of three years what will be the compound interest at the rate of 10% p.a. on an amount of Rs.20000?
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A. Rs.6400

B. Rs.6620

C. Rs.6500

D. Rs.6800

2205. Find the C.I. on a sum of Rs.1600 for 9 months at 20% per annum, interest being compounded quarterly?
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A. Rs.1684

B. Rs.3408

C. Rs.17684

D. Rs.2522
2206. The C.I. on a certain sum for 2 years Rs.41 and the simple interest is Rs.40. What is the rate percent?
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A. 4%

B. 8%

C. 5%

D. 6%

2207. Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
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A. Rs.319.06

B. Rs.306.04

C. Rs.294.75

D. Rs.420.20

2208. Find the compound interest and the amount on Rs.8000 at 5% per annum for 3 years when C.I is reckoned yearly?
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A. Rs.1440

B. Rs.1346

C. Rs.1185

D. Rs.1261
2209. A runs 1 2/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
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A. 200 m

B. 270 m

C. 300 m

D. 160 m

2210. If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q?
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A. 54

B. 90

C. 48

D. 60
2211. A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
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A. 777.52 m

B. 111.12 m

C. 756.34 m

D. 888.88 m

2212. In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?
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A. 57.5 m

B. 127.5 m

C. 150.7 m

D. 98.6 m

2213. A can run a kilometer race in 4 1/2 min while B can run same race in 5 min. How many meters start can A give B in a kilometer race, so that the race mat end in a dead heat?
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A. 100 m

B. 130 m

C. 150 m

D. 125 m

2214. In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
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A. 150 sec

B. 190 sec

C. 200 sec

D. 210 sec

2215. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:________?
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A. 21 m

B. 28 m

C. 29 m

D. 26 m

2216. If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:_________?
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A. 100m

B. 110m

C. 140m

D. 125m
2217. In a 300 m race A beats B by 22.5 m or 6 seconds. Bs time over the course is__________?
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A. 80 sec

B. 76 sec

C. None of these

D. 86 sec

2218. In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
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A. 40

B. 50

C. 25

D. 15

2219. A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is_________?
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A. 7 hrs 45 min

B. 8 hrs 45 min

C. 11 hrs

D. 9 hts 20 min

2220. A man 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. 112 km

B. 242 km

C. 121 km

D. 224 km
2221. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
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A. 7.2

B. 4.2

C. 6.1

D. 8.2

2222. If a boat is rowed downstream for 50 km in 5 hours and upstream for 24 km in 6 hours, what is the speed of the boat and the river?
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A. (10 , 4) km/hr

B. (7 , 3) km/hr

C. None of these

D. (6 , 4) km/hr

2223. A man covers a distance of 20 km in 3.5 hours partly by running and partly by walking. If he walks at 4 kmph and runs at 10 kmph, find the distance he covers by walking.
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A. 9 km

B. 8 km

C. 12 km

D. 10 km
2224. Rayan crosses a 400m bridge in 3 minutes. What is speed?
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A. 1.33 kmph

B. 133.33 kmph

C. 8 kmph

D. 4 kmph

2225. If a man walks at 6 kmph, he can reach his destination at 9:00 am. However, he walks a little slower and reaches only at 10:00 am. If the distance to his destination was 12 km, at what speed did he walk?
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A. 5 kmph

B. 4 kmph

C. 4.5 kmph

D. 3 kmph

2226. Excluding stoppages, the average 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. 10

B. 9

C. 20

D. 12

2227. Walking at 80% of his usual speed, a man is 10 mins late to his office. Find the usual time taken by hime to reach his office.
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A. 20 minutes

B. 30 minutes

C. 40 minutes

D. 50 minutes

2228. A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?
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A. 18 km

B. 14 km

C. 16 km

D. 12 km

2229. A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
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A. 80 Sec

B. 90 Sec

C. 95 Sec

D. 89 Sec
2230. A person walking at 5/6th of his usual speed is 40 minutes late to his office. What is his usual travel time to his office?
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A. 3 hours 30 minutes

B. 3 hours

C. 3 hours 20 minutes

D. 3 hours 15 minutes

2231. A cyclist covers a certain distance in 50 minutes at a speed of 24 kmph. To cover the same distance in 40 minutes, he should travel at a speed of__________?
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A. 27 kmph

B. 25 kmph

C. 30 kmph

D. 20 kmph

2232. At 10 a.m. two trains started traveling toward each other from stations 287 miles apart. They passed each other at 1:30 p.m. the same day. If the average speed of the faster train exceeded the average speed of the slower train by 6 miles per hour, which of the following represents the speed of the faster train, in miles per hour?
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A. 38

B. 48

C. 40

D. 44
2233. A car travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. What is the average speed for the first 320 km of the tour?
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A. 74. 24 km/hr

B. 71.11 km/hr

C. 70.24 km/hr

D. 72.21 km/hr

2234. Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?
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A. 1 hr 42 min

B. 2 hr

C. 1 hr 12 min

D. 1 hr

2235. A man rows at a speed of 6 km/hr in still water. If the time taken to row a certain distance upstream is 4 times the time taken to row the same distance downstream, what is the speed of the river?
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A. 3 km/hr

B. 3.6 km/hr

C. 4 km/hr

D. 1.8 km/hr

2236. If the ratio of the speeds of A and B to cover a distance of 200 m is 3:4, then the ratio of the time taken to cover the same distance is________?
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A. 3:07

B. 5:04

C. 4:3

D. 6:08

2237. There are 21 poles with a constant distance between each pole. A car takes 30 seconds to reach the 16th pole. How long does it take to reach the last pole?
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A. 39 seconds

B. 39.38 seconds

C. 40 seconds

D. 39.5 seconds

2238. A man travels a distance of 2 km by walking at a speed of 6 km/hr. He returns back at a speed of 4 km/hr. What is his average speed?
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A. 5.1 kmph

B. 4.5 kmph

C. 4.8 kmph

D. 5 kmph

2239. Taimoor left for his school at 6 am by foot and walked at the rate of 2 kmph. After reaching his school he found it was closed and immediately turned back and started walking back to his home at 3 kmph. If he reached his home at 9 am, find the distance between his school and his home.
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A. 2.5 km

B. 7 km

C. 7.2 km

D. 3.6 km
2240. A man goes to his office 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, what is the distance between his house and office?
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A. 5 km

B. 6 km

C. 4 km

D. 3 km

2241. Two trains 140 metres and 120 metres are running in the same direction with speeds 40 kmph and 60 kmph respectively. In what time will the faster train pass the slower one?
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A. 0.42 minutes

B. 0.36 minutes

C. 0.60 minutes

D. 0.78 minutes
2242. A and B go cycling in the same direction with speeds of 6 km/hr and 12 km/hr. A car from behind passes them in 9 and 10 seconds respectively. What is the speed of the car?
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A. 66 km/hr

B. 33 km/hr

C. 44 km/hr

D. 22 km/hr

2243. Two boys starts from the same place walking at the rate of 5 kmph and 5.5 kmph respectively in the same direction. What time will they take to be 8.5 km apart?
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A. 14 hr

B. 17 hr

C. 12 hr

D. 19 hr

2244. If Afnan drives at 4/5th of his usual speed to his office, he is 6 minutes late. What is his usual time to reach his office?
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A. 30

B. 36

C. 24

D. 18

2245. Three towns X, Y, and Z are on a river which flows uniformly. Y is equidistant from X and Z. If a boats man rows from X to Y and back in 10 hours and X to Z in 4 hours, find the ratio of speed of the boats man in still water to the speed of the current.
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A. 5:3

B. 2:05

C. 3:05

D. 1:02

2246. Yalmaz can cover a distance of 400 metres in 2 minutes. Rayan can cover 1 km in 300 seconds. Find the ratio of their speeds.
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A. 4:03

B. 1:02

C. 1:1

D. 2:05

2247. Two bikes start at the same time from two destination 300 km apart and travel towards each other. If they cross each other at a distance of 130 km from one of the destination, what is the ratio of their speeds?
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A. 17:13

B. 17:30

C. None of these

D. 13:30

2248. A car can travel 360km with a full tank. How many km can it travel with a 2/3 full tank?
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A. 240

B. 400

C. 300

D. 320
2249. A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jo??er?
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A. 72 sec

B. 3.6 sec

C. 18 sec

D. 36 sec
2250. In a journey of 24 miles, two thirds of the distance was travelled with a speed of 40 mph and the remaining with 60 mph. How much time did the journey take?
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A. 32 minutes

B. 14.4 minutes

C. 20 minutes

D. 28.8 minutes