# exercise

Ques:- A 260 meter long train crosses a 120 meter long wall in 19 seconds. What is the speed of the train?
A. 27 km/hr
B. 49 km/hr
C. 72 km/hr
D. 92 km/hr

72 kmph

Ques:- A train of length 150 m takes 40.5 seconds to cross a tunnel of length of 300 m. The speed of the train (in km/hr) is
A. 13.33
B. 26.67
C. 38.32
D. 40

Since the total train length passed the tunnel so the distance would be the length of train added to the tunnel legth
D=150+300=450 mt.
speed = distance/time
speed = 450/(40.5/3600)
speed =40,000 mt/sec

Ques:- Two trains are moving in the same directions at 65 km/hr and 45 km/hr. The faster train crosses a man in slower train in 18 seconds. The length of the faster train is
A. 100 m
B. 120 m
C. 145 m
D. 180 m

Relative speed =65-45km/hr
Relative speed=20km/hr
Convert to m/s
S=20*5/18
S=5.555
Length of the faster train =5.55555*18seconds
=100meters

Ques:- A man sees a train passing over a bridge 1 km long. The length of the train is half that of the bridge. If the train clears the bridge in 2 minutes, the speed of the train is
A. 30 km/hr
B. 40 km/hr
C. 45 km/hr
D. 55 km/hr

45 km/hr

Ques:- A train 132 m long passes a telegraph pole in 6 seconds. Find the speed of the train
A. 70 km/hr
B. 71 km/hr
C. 72 km/hr
D. 79.2 km/hr

79.2

Ques:- Two trains are coming from opposite directions with speeds of 75 km/hr and 100 km/hr on two parallel tracks. At some moment the distance between them is 100 km. After T hours, distance between them is again 100 km. T is equal to
A. 1 hr
B. \$\$1{1} / {7}\$\$
C. \$\$1{1} / {2}\$\$
D. 2 hrs

1(1/7)hr

Ques:- A train 240 m long passed a pole in 24 seconds. How long will it take to pass a platform 650 m long?
A. 65 sec
B. 79 sec
C. 89 sec
D. 99 sec

240-24
650-?
?=24*650/240
65SEC

Ques:- A train 300 m long crossed a platform 900 m long in 1 minutes 12 seconds. The speed of the train (in km/hr) is
A. 40
B. 50
C. 60
D. 70

Ques:- If a 200 m long train crosses a platform of the same length as that of the train in 20 seconds, then the speed of the train is
A. 50 km/hr
B. 60 km/hr
C. 70 km/hr
D. 72 km/hr

3600 sec in 1 hr.. 1000 M in 1 km so to covert m/s to km /hr you multiply the value with (3000/1000) .. so 3000 divided by 1000 will give you 18/5 it’s like constant value.. to convert m/s to km/ hr we can use this 18/5.. hope you understand

Ques:- A speed of 14 metres per second is the same as
A. 28 km/hr
B. 50.4 km/hr
C. 70 km/hr
D. 74.2 km/hr

let convert meter to kilometer by multiply 18/5 then answer be 14*(18/5)=50.4 km/s

Ques:- A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr?
A. 13.33
B. 26.67
C. 39.16
D. 40

1km = 1000m
Xkm = 300m
X=0.30km

1hr = 3,600s
X = 40.5s
0.01125hr
Therefore; 0.3km/0.1125hr= 26.6666=26.67km/hr

Ques:- A train travelling at a speed of 90 km/hr, crosses a pole in 10 seconds. The length of the train is
A. 100 m
B. 150 m
C. 250 m
D. 900 m

Train speed 90 km /h
1st we have to change in m/s. then 90*5/18=25m/s
Then d=speed*time
=25*10=250m train length

Ques:- January 1, 1992 was Wednesday. What day of the week was January 1, 1993?
A. Monday
B. Tuesday
C. Thursday
D. Friday

Friday

Ques:- A train 280 m long is moving at 60 km/hr. Time taken by the train to cross a tunnel 220 m long is
A. 15 sec
B. 20 sec
C. 25 sec
D. 30 sec

30 Sec

Ques:- The LCM of three different numbers is 120. Which of the following cannot be their HCF?
A. 8
B. 12
C. 24
D. 35

35 is not the factor of 120 so…35 is the answer

Ques:- A train 100 meters long passes a platform 100 meters long in seconds. The speed of the train is
A. 36 km/hr
B. 52 km/hr
C. 72 km/hr
D. 92 km/hr

= 100 + 100 = 200 m

Time taken by train = 10 sec.

∵ Speed = Distance/Time

⇒ Speed of train = 200/10 = 20 m/sec.

∴ Speed of train = 20 × 18/5 = 72 kmph.

In question they left 10 seconds

Ques:- The H.C.F of two numbers is 12 and their difference is 12. The numbers are
A. 94, 106
B. 84, 96
C. 70. 82
D. 66, 78

B

Ques:- Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is
A. 1 : 3
B. 2 : 3
C. 4 : 3
D. 6 : 7

4:3
A—–>B (first train)
B——>A(second train)
A/B=Srureroot((time to B)/(time to A))

Ques:- Find the greatest number which will divide 25, 73 and 97 so as to leave the same remainder in each case.
A. 12
B. 18
C. 24
D. 32

required number =H.C.F of (73-25),(97-73) & (97-25)
=H.C.F of 48 , 24 and 72 = 4 (c)

Ques:- Three different containers contain different quantities of mixture milk and water, whose measurements are 403 Kg, 434 Kg and 465 Kg. What biggest measure must be there to measure all the different quantities exactly?
A. 1 Kg
B. 7 Kg
C. 14 Kg
D. 31 Kg