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Hassan
1.A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A. 320 m
B. 350 m
C. 650 m
D. 320 m
2.A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is?
A. 50 m
B. 150 m
C. 200 m
D. 50 m
3.A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
A. 69.5 km/hr
B. 70 km/hr
C. 79 km/hr
D. 69.5 km/hr
4.How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
A. 25
B. 30
C. 40
D. 25
5.Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is?
A. 10
B. 18
C. 36
D. 10
6.A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is?
A. 48 km/hr
B. 54 km/hr
C. 66 km/hr
D. 48 km/hr
7.Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
A. 23 m
B. 23⁡〖2/9〗
C. 27⁡〖7/9〗
D. 23 m
8.A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is?
A. 45 m
B. 50 m
C. 54 m
D. 45 m
9.A train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. The length of the platform is?
A. 400 m
B. 450 m
C. 560 m
D. 400 m
10.Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A. 9 a.m.
B. 10 a.m.
C. 11.30 a.m.
D. 9 a.m.
11.What is the length of a running train crossing another 180 metre long train running in the opposite direction?
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. I alone sufficient while II alone not sufficient to answer
12.What is the length of a running train?
A. I alone sufficient while II alone not sufficient to answer
B. II alone sufficient while I alone not sufficient to answer
C. Either I or II alone sufficient to answer
D. I alone sufficient while II alone not sufficient to answer
13.What is the speed of the train?
A. I and II only
B. II and III only
C. I and III only
D. I and II only
14.What is the speed of the train?
A. I and II only
B. II and III only
C. I and III only
D. I and II only
15.At what time will the train reach city X from city Y?
A. I only
B. II only
C. III only
D. I only
16.What is the length of a running train P crossing another running train Q?
A. I only
B. II only
C. III only
D. I only
17.Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is?
A. 173 m
B. 200 m
C. 273 m
D. 173 m
18.A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30° with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60°. What is the distance between the base of the tower and the point P?
A. 4/3 units
B. 8 units
C. 12 units
D. 4/3 units
19.The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is?
A. 2.3 m
B. 4.6 m
C. 7.8 m
D. 2.3 m
20.An observer 1.6 m tall is 20 √ 3 away from a tower. The angle of elevation from his eye to the top of the tower is 30°. The height of the tower is?
A. 21.6 m
B. 23.2 m
C. 24.72 m
D. 21.6 m
21.From a point P on a level ground, the angle of elevation of the top tower is 30°. If the tower is 100 m high, the distance of point P from the foot of the tower is?
A. 149 m
B. 156 m
C. 173 m
D. 149 m
22.The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:
A. 30°
B. 45°
C. 60°
D. 30°
23.A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is?
A. Rs. 650
B. Rs. 690
C. Rs. 698
D. Rs. 650
24.Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
A. Rs. 6400
B. Rs. 6500
C. Rs. 7200
D. Rs. 6400
25.A sum fetched a total simple interest of Rs. 4016.25 at the rate of 9 p.c.p.a. in 5 years. What is the sum?
A. Rs. 4462.50
B. Rs. 8032.50
C. Rs. 8900
D. Rs. 4462.50
26.How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
A. 3.5 years
B. 4 years
C. 4.5 years
D. 3.5 years
27.Farhan took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If he paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
A. 3.6
B. 6
C. 18
D. 3.6
28.A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
A. 3%
B. 4%
C. 5%
D. 3%
29.An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes?
A. 10%
B. 10.25%
C. 10.5%
D. 10%
30.A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is?
A. 5%
B. 7%
C. 7⁡〖1/8〗
D. 5%
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