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Previous Year Paper

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CAT-2002-Previous Years Paper

Question
8 out of 50
 

A country has following types of traffic signals.

3 red lights

=

stop

2 red lights 

=

turn left

1 red light 

=

turn right

3 green lights 

=

go at 100 km/h speed

2 green lights 

=

go at 40 km/h speed

1 green light 

=

go at 20 km/h speed

 

A motorist starts at a point on a road and follows all traffic signals. His car is heading towards the north. He encounters the following signals (the time mentioned in each case below is applicable after crossing the previous signal).

Starting point–1 green light

After half an hour, 1st signal–2 red and 2 green lights

After 15 minutes, 2nd signal–1 red light

After half an hour, 3rd signal–1 red and 3 green lights

After 24 minutes, 4th signal–2 red and 2 green lights

After 15 minutes, 5th signals–3 red lights


What is the position (radial distance) of the most motorists when he reaches the last signal?



A 45 km directly north of the starting point

B 30 km directly to the east of the starting point

C 50 km away to the north-east of the starting point

D 45 km away to the north-west of the starting point

Ans. C

Applying Pythagoras theorem, for a right-angled triangle.

(BC)(BC) = (AB)(AB) + (AC)(AC)

BC = √(AB)(AB) + (AC)(AC) = 50 km.

CAT-2002-Previous Years Paper Flashcard List

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