CAT Exam

Q
58.
Suppose your bike has a 12 plate gear system. The locking system positions on any one of
the 12 gears. If the connecting chain is on the 12 plate gear than each time the chain moves a
distance of 12 links then the rear wheel goes through one complete revolution. If the real
wheel has a diameter of 30 cms, then after minimum how many revolutions, does the bike
travel a distance of 1 km?
OptionA 1064
B
1024
C 1000
D 100

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CAT Other Question
Q62.
Two towns X and Y are connected by a country lane of length 30 miles and motor way of
length 40 miles. A tractor travels down the country lane at an average speed of 20 mph. A
car travels on the motorway at an average speed of 60 mph, the difference between their
journey times in minutes is:
Option
A 30 min
B 40 min
C 50 min
D 60 min

Q 63.
Two trains are travelling in opposites directions at uniforms speeds of 60 km/hr and 50
km/hr. They take 5 s to cross each other. If the two trains had travelled in the same
directions, then a passenger sitting in the faster-moving train would have overtaken the other
train in 18 s. What are the lengths of the trains?
Option
A 112 m and 78 m
B 87.78m and 55 m
C 102.78m and 50m
D 102.78m and 55m

Q64.
Read the following and answer the questions below:
Day 1:A truck moving from Bangalore to Mysore overtakes a bus that is also moving towards Mysore exactly at 9A.M.The truck reaches Mysore at 1 PM and rests for half an
hour. When the truck returns after rest,it meets the bus again at 2 PM.The truck and the bus
are moving at constant speeds.
Day 2:The same truck and bus are traveling towards each other from Bangalore and Indore
respectively at 9AM.After meeting at any point between Bangalore and Indore at 10:30 AM,
the bus reaches Bangalore at 2:30 PM.
When will the bus reach Mysore on Day 1(approx)?
Option
A 2:42 pm
B 2:52 pm
C 3:03 pm
D 3:07 pm Q
59.
If repetitions are not allowed, then calculate the number of car registration number which
can be formed from 3 alphabets and 3 digit numbers?
Option
A (26P3 ) (9P3 ) ways
B (26P3 ) (10P3 ) ways
C (27P3 ) (9P3 ) ways
D( 27P3 ) (10P3 ) ways