Time and Distance

1.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 :

6km/5km/5.5.km/6.5km

2.Walking at the rate of 4 km an hour, a man covers a certain distance in 3 hours 45 minutes. If he covers the same distance on cycle, cycling at the rate of 16.5 km/hr, the time taken by him is

55.45 minutes/54.55 minutes/55.44 minutes/45.55 minutes

3.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:

10 min/13 min 20 sec/13 min/11 min 20 sec

4.A bullock cart has to cover a distance of 120 km. in 15 hours. If it covers half of the journey in 3/5^th time, the speed to cover the remaining distance in the time left has to be

6.4km/hr//6.67km/hr//10km/hr//15km/hr

5.A man rides at th rate of 18 km/hr. but stops for 6 mins. To change horses at the end of every 7^th Km. The time that he will take to cover a distance of 90 km is

6hrs./6hrs.12min/6hrs.18min/6hrs.24mins

7.You arrive at your school 5 minutes late if you walk with a speed of 4 km/h, but you arrive 10 minutes before the scheduled time if you walk with a speed of 5 km/h. The distance of your school from your house (in Km)

4/5/10/2

8.A man travelled a distance of 80 km in 7 hrs partly on foot at the rate of 8 km per hour and partly on bicycle at 16km per hour. The distance travelled on the foot is

32km/48km/36km/44km

9.A car travels at a speed of 60 km/hr and covers a particular distance in one hour. How long will it take for another car to cover the same distance at 40 km/hr?

5/2 hrs./2 hrs,/3/2hrs./1hrs.

10.The length of a train and that of a platform are equal. If with a speed of 90 km/hr the train crosses the platform in one minute, then the length of the train (in metres) is

500/750/600/900/1500

11.A train travelling at a speed of 30 m/s crosses a platform, 600 metres long, in 30 seconds. The length (in metres) of train is

120/150/200/300

12.Ram starts his journey from Bombay to Pune and simultaneously Mohan starts from Pune to Bombay. After crossing each other they finish their remaining journey in 6 ¼ and 4 hours respectively. What is Mohan’s speed if Ram’s speed is 20 km per hr.?

28/24/25/30

13. A car driving in the morning fog passes a man walking at 4 km per hr. in the same direction. The man can see the car for 3 minutes and visibility is upto a distance of 130 metres. Find the speed of the car.

7.5 kmph/6.6 kmph/6 kmph/7 kmph

14. A train after travelling 100 kms from P meets with an accident and then proceeds at 3/4 th of its original speed and arrives  at the terminus Q 90 minutes late. Had the accident occurred 60 kms further on, it would have reached 15 minutes sooner. Find the original speed of the train and the distance PQ

65 kmph:480/75 kmph:450/80 kmph:460/85 kmph:460

15. If I walk at 5 km/hr, I miss a train by 7 minutes. If, however, I walk at 6 km/hr, I reach the station 5 minutes before the departure of the train. The distance (in Km) between my house and the station is

6/5/4/3

16.A certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time, the ratio of the speed of the jogger to that of the cyclist is

1:4/4:1/1:2/2:1

17.A person travels 600 km by train at 80km/hr, 800 ship at 40 km/hr  500km by aeroplane at 400km/hr and 100 km by car at 50 km/hr. What is the average speed for the entire distance?

65 5/123/60 /60 5/123/62

18.Two trains different length but with same speed pass a static pole in 4 sec. and 5 sec. respectively. In what time will they cross each other when they are moving in opposite direction.

4 sec/4.05 sec/4.5 sec/none

19 A train passes two persons who are walking in the direction opposite which the train is moving, at the rate of 5m/sec. and 10 m/sec. in 6 sec. and 5 sec. respectively. Find the length of the train.

150/200/175/none

20.A monkey tries to ascend a greased pole 14 metres high. He ascends 2 metres in first minutes an slip down a metre in the alternate minute. If he continues to ascend in this fashion how long does he take to reach the top?

23/24/25/none

profit and loss

1.By selling 4 articles for 1 rupee, a man loses 4%. Had he sold three articles per rupee, the profit would have been:

30%/28%/16%/12%

2.A shopkeeper sells an article at a loss of 12 ½%. Had he sold it for Rs.51.80 more, he would have earned a profit of 6%. The cost price of the article is

280/300/380/400

3.A businessman bought an article and sold it at a loss of 5%. If he had bought it for 10% less and sold it for Rs.33 more, he would have had a profit of 30%. The cost price of the article is

330/155/150/300

4.Profit after selling a commodity for Rs.524 is the same as loss after selling it for Rs.452. The cost price of the commodity is

480/500/488/485

5.A clock was sold for Rs.144. If the percentage of profit was numerically equal to the cost price, the cost of the clock was

72/80/90/100

6.By selling 1 dozen ball pens, a shopkeeper earned the profit equal to the selling price of 4 ball pens. His profit per cent is

40%/50%/33 1/3% /31 ¼%

7.On selling 17 balls a Rs.720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is

45/50/55/60

8. At what per cent above the cost price, must a shop-keeper marks his goods so that he gains 20% even after giving a discount of 10% on the marked price?

25%/30%/33 1/3% /37 ½%

9.A shopkeeper sold sarees at Rs.266 each after giving 5% discount on labelled price. Had he not given the discount, he would have earned a profit of 12% on the cost price. What was the cost price of each saree?

280/260/250/240

10.A shopkeeper bought 80kg of sugar at the rate of Rs.13.50 per kg. He mixed it with 120kg of sugar costing Rs.16 per kg. In order to make a profit of 20%, he must sell the mixture at

18/kg// 17/kg// 16.40/kg//15/kg.

11.A shopkeeper gains 20% while buying the goods and 30% while selling them. Find his total gain per cent

50/36/56/40

12. The ratio of cost price and selling price is 5:4, the loss per cent is

20/25/40/50

13.Ram blends two varieties of tea one costing Rs.180/kg and another costing Rs.200/kg in the ratio 5:3. If he sells the blended variety at Rs.210/kg, the his gain percent is

10/11/12/13

14.A man purchased some eggs at 3 for Rs.5 and sold them at 5 for Rs.12. Thus he gained Rs.143 in all. The number of eggs he bought is

210/200/195/190

15. A shopman bought pens at the rate of 7 for Rs.10 and sold them at a profit of 40%. How many pens would a customer get for Rs.10?

6/4/5/3

16. Ravi buys some toffees at 2 for a rupee and sells them at 5 for a rupee. His loss/profit percent is

120/30/90/60

17. The cost price of 40 articles is the same as the selling price of 25 articles. Find the gain percent

65/60/15/75

18.A man had 100kgs of sugar, part of which he sold at 7% profit and rest at 17% profit. He gained 10% on the whole. How much did he sell at 7% profit?

65kg/35kg/30kg/70kg

19.A reduction of 20% in the price of salt enabled a purchaser to obtain 4 kg. more for Rs.100. The reduced price of salt per kg is:

4/5/6.25/6.50

20.A dealer sold ¾ of his articles at a gain of 20% and the remaining at cost price. The gain percent earned by him in the whole transaction is

13/14/15/16

21.The difference between the selling prices of an article at a profit of 15% and at a profit of 10%, is Rs.10. The CP of the article is

100/120/150/200

22.Two-third of a consignment was sold at a profit of 5% & the remainder at a loss of 2%. If the total profit was Rs.400, then the value of the consignment was

15000/15500/16000/16500

23.A man sells two chairs at Rs.120 each and by doing so gains 25% on one chair and loses 25% on the other. His loss on the whole in Rs. Is

20/16/25/30

24.A man purchases two fans for Rs.2160. By selling one fan at a profit of 15% and the other at a loss of 9% he neither gains nor loses in the whole transaction. Find the cost price of each fan in (Rs.)

710,1450/1530,630/810,1350/1340,820

25. If 3 toys are sold at the cost price of 4 toys of the same kind, the profit will be:

25%/33 1/3 %/66 2/3%/50%

26. If the selling price of an article is doubled, then its loss per cent is converted into equal profit per cent. The loss per cent on the article is

26 2/3%/33%/33 1/3%/34%

27.A tradesman gives 4% discount on the marked price and gives 1 article free for buying every 15 articles and thus gain 35%. The marked price is increased above the cost price by

50%/25%/12.5%/none

28.An article sold for Rs.3360 earns a profit which is double the amount of loss when the same is sold for Rs.2400. What is the purchase price of the article?

2700/2710/2720/none

29.17 chairs and 15 tables costs Rs.26100 and 17 tables and 15 chairs cost Rs.26380. What is the cost of one chair?

650/750/850/none

30.By selling oranges 32 a rupee, a man loses 40%. How many for a rupee should he sell in order to gain 20%?

14/15/16/none