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EXAM Math Questions and Answer Page 2872

(#M40020625) EXAM QUESTION time,speed Keep an EYE

P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A.

250 km

B.

350 km

C.

450 km

D.

500 km

Asked In exam MAN (12 years ago)

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(#M40020624) EXAM QUESTION time,speed Keep an EYE

In an industry, the raw materials and the finished goods are transported on the conveyor belt. There are two conveyor belt, one for carrying parts from P to point Q and another for carrying parts from R to point Q. P, Q and R in that order are in a straight line. Sometimes, the belt serves to transport cart, which can themselves move with respect to the belts. The two belts move at a speed of 0.5 m/s and the cart move at a uniform speed of 2m/s with respect to the belts. A cart goes from point P to R and back to P taking a total of 64s. Find the distance PR in meters. Assume that the time taken by the cart to turn back at R is negligible?

A.

48

B.

54

C.

60

D.

64

Asked In exam MAN (12 years ago)

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(#M40020622) EXAM QUESTION time,speed Keep an EYE

In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.

A.

36 minute

B.

24 minute

C.

16 minute

D.

12 minute

Asked In exam MAN (12 years ago)

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(#M40020620) EXAM QUESTION time,speed Keep an EYE

The XYZ river flows at 12 km/hr. A boy who can row at
25
18
m/s in still water had to cross it in the least possible time. The distance covered by the boy is how many times the width of the river XYZ?

A.

2.1

B.

2.3

C.

2.6

D.

2.9

Asked In exam MAN (12 years ago)

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(#M40020619) EXAM QUESTION time,speed Keep an EYE

Two motorists Anil and Sunil are practicing with two different sports car; Ferrari and Maclarun, on the circular racing track, for the car racing tournament to be held next month. Both Anil and Sunil start from the same point on the circular track. Anil completes one round of the track in 1 min and Sunil takes 2 min to complete a round. While Anil maintains speed for all the rounds, Sunil halves his speed after the completion of each round. How many times Anil and Sunil will meet between 6th round and 9th round of Sunil (6th and 9th round is excluded)? Assume that the speed of Sunil remains steady throughout each round and changes only after the completion of that round.

A.

382

B.

347

C.

260

D.

None of these

Asked In exam MAN (12 years ago)

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(#M40020618) EXAM QUESTION time,speed Keep an EYE

Twenty six men - 1,2,3,....25 and 26 participate in 10km running race on a circular track of length 100m. All of them start at the same time, from the same point and run in the same direction. Their speeds, taken in the order, are in increasing AP. The time taken by 26 to meet 1, for the first time after they start is 20 sec and the time taken by 13 to complete the race is 52 minutes and 5 seconds. Find the time taken (in seconds), for all the twenty six men to meet for the first time at the starting point.

A.

1000

B.

500

C.

625

D.

400

Asked In exam MAN (12 years ago)

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(#M40020614) EXAM QUESTION time,speed Keep an EYE

Three friends A, B and C run around a circular track of length 120 metres at speeds of 5 m/s, 7 m/sec and 15 m/sec, starting simultaneously from the same point and in the same direction. How often will the three of them meet?

A.

Every 60 seconds

B.

Every 120 seconds

C.

Every 30 seconds

D.

None of these

Asked In exam MAN (12 years ago)

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(#M40020613) EXAM QUESTION time,speed Keep an EYE

.

A ball is thrown twice from a place with the gap of 34 minutes between the two shots. A person approaching this point in a bus heard the second shot 33 minutes after he heard the first shot. What is the speed of bus (in kmph) if sound travels at 330 m/s?

A.

30

B.

33

C.

36

D.

42

Asked In exam MAN (12 years ago)

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(#M40020612) EXAM QUESTION time,speed Keep an EYE

Dexter and Prexter are competing with each other in a friendly community competition in a pool of 50m length and the race is for 1000m. Dexter crosses 50m in 2 min and Prexter in 3 min 15 sec. Each time they meet/cross each other, they do handshake's. How many such handshake's will happen if they start from the same end at the same time?

A.

18

B.

19

C.

20

D.

17

Asked In exam MAN (12 years ago)

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(#M40020610) EXAM QUESTION time,speed Keep an EYE

The Ghaziabad-Hapur-Meerut EMU and the Meerut-Hapur-Ghaziabad EMU start at the same time from Ghaziabad and Meerut and proceed towards each other at 16 km/hr and 21 km/hr respectively. When they meet, it is found that one train has travelled 60 km more than the other. The distance between two stations is:

A.

445 km

B.

444 km

C.

440 km

D.

450 km

Asked In exam MAN (12 years ago)

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(#M40020609) EXAM QUESTION time,speed Keep an EYE

If a man cycles at 10 km/hr, then he arrives at a certain place at 1 p.m. If he cycles at 15 km/hr, he will arrive at the same place at 11 a.m. At what speed must he cycle to get there at noon?

A.

11 km/hr

B.

12 km/hr

C.

13 km/hr

D.

14 km/hr

Asked In exam MAN (12 years ago)

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(#M40020608) EXAM QUESTION time,speed Keep an EYE

Two cities, A and B, at a distance of 50 km, are connected by two separate roads. The speed of any vehicle traveling between the two cities on road 1 is 50 km/hr, while the speed on road 2 is (80/n) km/hr, where n is the number of vehicles (including the concerned vehicle). If you travel in a vehicle from A to B on road 1 and come back from B to A on road 2 (where there are already three vehicles plying), your approximate average speed is:

A.

26 km/hr

B.

29 km/hr

C.

32 km/hr

D.

35 km/hr

Asked In exam MAN (12 years ago)

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(#M40020607) EXAM QUESTION time,speed Keep an EYE

A train left station X at A hour B minutes. It reached station Y at B hour C minutes on the same day, after travelling C hours A minutes (clock shows time from 0 hours to 24 hours). Number of possible value(s) of A is:

A.

0

B.

1

C.

2

D.

3

Asked In exam MAN (12 years ago)

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(#M40020606) EXAM QUESTION time,speed Keep an EYE

A boat goes 30 km. upstream and 44 km. downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. The speed of the boat in still water is:

A.

3 km/hr

B.

4 km/hr

C.

8 km/hr

D.

6 km/hr

Asked In exam MAN (12 years ago)

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(#M40020605) EXAM QUESTION time,speed Keep an EYE

A man jogging inside a railway tunnel at a constant speed hears a train approaching the tunnel from behind at a speed of 30km/h, when he is one third of the way inside the tunnel. Whether he keeps running forward or turns back, he will reach the end of the tunnel at the same time the train reaches that end. The speed at which the man is running is:

A.

6 km/hr

B.

8 km/hr

C.

12 km/hr

D.

10 km/hr

Asked In exam MAN (12 years ago)

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(#M40020604) EXAM QUESTION time,speed Keep an EYE

A ball is projected vertically up-wards reaches, at the end of 't' seconds, an elevation of 's' feet where s=160t−16t2. The highest elevation is

A.

800

B.

640


C.

400

D.

320

Asked In exam MAN (12 years ago)

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(#M40020602) EXAM QUESTION time,speed Keep an EYE

In a kilometer race, If Abhishek gives Bharti a 40m start, Abhishek wins by 19sec. But if Abhishek gives Bharti a 30 sec start, Bharti wins by 40 m. Find the time taken by Bharti to run 5,000m?

A.

150 sec

B.

450 sec

C.

750 sec

D.

825 sec

Asked In exam MAN (12 years ago)

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(#M40020600) EXAM QUESTION time,speed Keep an EYE

A bus overtakes two boys who are walking in the direction of the bus at 2 km/hr and 4 km/hr in 9 sec and 10sec respectively. The length of the bus and its speed are:

A.

50m and
55
9
m/s

B.

80m and
88
9
m/s

C.

70m and
77
9
m/s

D.

60m and
66
9
m/s

Asked In exam MAN (12 years ago)

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(#M40020598) EXAM QUESTION time,speed Keep an EYE

Two boats, traveling at 5 and 10 kms per hour, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms) one minute before they collide?

A.

1
12

B.

1
6

C.

1
4

D.

1
3

Asked In exam MAN (12 years ago)

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(#M40020597) EXAM QUESTION time,speed Keep an EYE

Starting from my office, I reach the house 20 min late if I walk at 3kmph. Instead, if I walk at 4kmph, I reach the house 15 min early. How far is my house from my office?

A.

4 km

B.

5 km

C.

7 km

D.

6 km

Asked In exam MAN (12 years ago)

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(#M40020595) EXAM QUESTION time,speed Keep an EYE

Karan and Arjun run a 100-meter race, where Karan beats Arjun 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100 metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?

A.

Karan and Arjun reach the finishing line simultaneously

B.

Arjun beats Karan by 1 metre

C.

Arjun beats Karan by 11 metres

D.

Karan beats Arjun by 1 metre

Asked In exam MAN (12 years ago)

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(#M40020594) EXAM QUESTION time,speed Keep an EYE

The speed of a bus during the second hour of its journey is twice that in the first hour. Also, its speed during the third hour is two-third the sum of its speeds in the first two hours. Had the bus travelled for three hours at the speed of the first hour, it would have travelled 120 km less. Find the average speed of the bus for the first three hours.

A.

60 kmph

B.

70 kmph

C.

80 kmph

D.

100 kmph

Asked In exam MAN (12 years ago)

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(#M40020593) EXAM QUESTION time,speed Keep an EYE

Distance between the points is P. A man with the speed of s and reaches the other point late by 2 hours. Calculated the speed with which the man has to travel to reach in time, where t is the actual time.

A.

S×(t+1)
(t+2)

B.

s×t
(t+2)

C.

s×(t+2)
t

D.

s×
t
(t+1)

Asked In exam MAN (12 years ago)

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(#M40020591) EXAM QUESTION time,speed Keep an EYE

A bus without stopping travels at an average speed of 60 km/hr and with stoppages at an average speed of 40 km/hr. What is the total time taken by the bus for stoppages on a route of length 300km?

A.

4 hr

B.

3 hr

C.

2.5 hr

D.

3.5 hr

Asked In exam MAN (12 years ago)

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(#M40020590) EXAM QUESTION time,speed Keep an EYE

P beats Q by 5 seconds in a race of 1000m and Q beats R by 5 metres in a race of 100m. By how many seconds does P beats R in a race of 1000 m?

A.

5 sec

B.

7 sec

C.

10 sec

D.

Cannot be determined

Asked In exam MAN (12 years ago)

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(#M40020588) EXAM QUESTION time,speed Keep an EYE

Rajesh walks to and fro to a shopping mall. He spends 30 minutes shopping. If he walks at speed of 10 km an hour, he returns to home at 19.00 hours. If he walks at 15 km an hour, he returns to home at 18.30 hours. How fast must he walk in order to return at 18.15 hours?

A.

17 km/hr

B.

18 km/hr

C.

19 km/hr

D.

20 km/hr

Asked In exam MAN (12 years ago)

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(#M40020586) EXAM QUESTION time,speed Keep an EYE

A and B go by Bus from X to Z which is on the way to Y. C goes from Y to Z by Auto. A and B's Bus goes at 75km/hr and C's auto moves at 15km/hr. All the three start at 6:00am. After travelling some distance, B sees another friend D going by Cycle at 25km/hr to Z. B and A go ahead, meet C and pick him up. They return immediately to Z at the same time. The distance between X and Y is 600km and XZ is 400km.

2.

Common data question: 1/2

What is the total distance travelled by A?

A.

480 km

B.

450 km

C.

550 km

D.

600 km

Asked In exam MAN (12 years ago)

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(#M40020585) EXAM QUESTION time,speed Keep an EYE

If the wheel of a bicycle makes 560 revolutions in travelling 1.1 km, what is its radius?

A.

31.25 cm

B.

37.75 cm

C.

35.15 cm

D.

11.25 cm

Asked In exam MAN (12 years ago)

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(#M40020584) EXAM QUESTION time,speed Keep an EYE

A train running at the speed of 20m/s crosses a pole in 24 sec less than the time it requires to cross a platform thrice its length at the same speed. What is the length of the train?

A.

150 m

B.

200 m

C.

180 m

D.

160 m

Asked In exam MAN (12 years ago)

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(#M40020582) EXAM QUESTION time,speed Keep an EYE

A jet plane is rising vertically with a velocity of 10m/s. It has reached a certain height when the pilot drops a coin, which takes 4sec to hit the ground. Assuming that there is no resistance to the motion of the coin, the height of the place and the velocity of the coin on impact with the ground are:

A.

38.4 m, 28.7 m/s

B.

38.4 m, 29.2 m/s

C.

26.5 m, 13.5 m/s


D.

26.5 m, 28.7 m/s

Asked In exam MAN (12 years ago)

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