Syntel Placement Exam Sample Question Paper

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1. 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 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is:
A.173 mB.200 m
C.273 mD.300 m

2.
A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?
A.43 unitsB.8 units
C.12 unitsD.Data inadequate
E.None of these

3.
The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:
A.2.3 mB.4.6 m
C.7.8 mD.9.2 m

4.
An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is:
A.21.6 mB.23.2 m
C.24.72 mD.None of these

5.
From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:
A.149 mB.156 m
C.173 mD.200 m

6.
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.30ºB.45º
C.60ºD.90º
7.
A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?
A.3.6B.7.2
C.8.4D.10

8.
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of:
A.300 kmphB.360 kmph
C.600 kmphD.720 kmph

9If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
A.50 kmB.56 km
C.70 kmD.80 km

10A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:
A.100 kmphB.110 kmph
C.120 kmphD.130 kmph

11
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A.9B.10
C.12D.20

12
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:
A.1 hourB.2 hours
C.3 hoursD.4 hours

13A 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.
A.220 kmB.224 km
C.230 kmD.234 km

14The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A.70 km/hrB.75 km/hr
C.84 km/hrD.87.5 km/hr

15 A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is:
A.35.55 km/hrB.36 km/hr
C.71.11 km/hrD.71 km/hr