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Frequently Asked cat Latest Exam Pattern - cat Sample Question with Solutions Page 23

(#M40010356) CAT QUESTION Keep an EYE

With a certain amount a person can either buy 50 oranges or 40 mangoes. He retain 10% amount for taxi fare and buys 20 mangoes and of the balance he purchase oranges. How many oranges he can purchase ?

Asked In CAT Devendra Marghade (13 years ago)

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(#M40003035) CAT QUESTION Keep an EYE

If A = x% of y and B = y% of x, then which of the following is true?

A.
A is smaller than B.
B.
A is greater than B
C.
Relationship between A and B cannot be determined.
D.
If x is smaller than y, then A is greater than B.
E.
None of these

Asked In CAT jai Narayan Mishra (14 years ago)

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(#M40029296) CAT QUESTION CAT quant Keep an EYE

If a and b are positive integers such that 4a + 5b - 100 = 0, then find the total number of solutions.

Option
(1) 3
(2) 4
(3) 5
(4) 6

Asked In CAT (12 years ago)

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(#M40029597) CAT QUESTION Probability Keep an EYE

Shikhar has a bag with 2 balls, each of them can be black or white with equal probability. Now, he draws out a ball and it turns out to be black. After this event what is the probability that both balls are black?

Asked In CAT Puneet (12 years ago)

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(#M40010181) CAT QUESTION Keep an EYE

Suppose half the people on a bus exit at each stop and no additional passengers board the bus. If on the Sixth stop the next to last person exits the bus, then how many people were on the bus?

Asked In CAT Devendra Marghade (13 years ago)

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(#M40010399) CAT QUESTION Keep an EYE

A 4-digit number 'abcd' satisfies the property.'abcd'=ab^2+ cd^2. Find abcd.

Asked In CAT Devendra Marghade (13 years ago)

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(#M40017760) CAT QUESTION SELF Keep an EYE

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

Asked In CAT AVINAS SHARMA (12 years ago)

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(#M40152018) CAT QUESTION Keep an EYE

Sonu gets a jewellery made of alloy of copper and silver. The alloy with a weight of 8kg contains p percent of copper. What piece of a copper-silver alloy containing 40% of silver must be alloyed with the first piece in order to obtain a new alloy with the minimum percentage of a copper if the weight of the second piece is 2Kg?

Asked In CAT Sudipta Sarkar (10 years ago)

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(#M40008926) CAT QUESTION Keep an EYE

what is the value of log(e(e(e.....)^1/2)^1/2)^1/2)?

a)0
b)1/3
c)1/2
d)1

Asked In CAT amrit bhagat (13 years ago)

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(#M40010361) CAT QUESTION Keep an EYE

Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking?

Asked In CAT Devendra Marghade (13 years ago)

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