CAT Questions

Q:

An office is divided into 8 cubicles. How many of the cubicles are painted if only 1/8 of the cubicles are painted?

A) 2 B) 4
C) 8 D) 1
 
Answer & Explanation Answer: D) 1

Explanation:

Given total number of the cubicles = 8

Given that only 1/8 of the cubicle is painted

 

Then of the total 8 cubicles, 1/8 is

 

1/8 x 1 = 1 cubicle. 

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Filed Under: Logic Puzzles
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16 5705
Q:

There are two examinations rooms P and Q. If 10 students are sent from P to Q, then the number of students in each room is the same. If 20 candidates are sent from Q to P, then the number of students in P is double the number of students in Q. The number of students in room Q is ?

A) 100 B) 70
C) 120 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:

If 'k' is number of students in P and 'l' is number of students in Q, then
From the given conditions, we have
=> k - 10 = l + 10 .......(1)
=> k + 20 = 2(l - 20) ....(2)

Solving these eqns, we get
k = 100 and l = 80.
Therefore, number of students in class Q is 80.

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Filed Under: Arithmetical Reasoning
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3 5704
Q:

Whale : Mammal :: Rat : ?

A) Rodent B) Mammal
C) Amphibian D) Reptile
 
Answer & Explanation Answer: A) Rodent

Explanation:

Whale belongs to Mammal category whereas Rat belongs to Rodent.

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Filed Under: Analogy
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8 5702
Q:

Who is the author of the book "Flaming Tresses of Draupadi" ?

A) Smriti Irani B) Veerappa Moily
C) Mallikarjun Kharge D) None
 
Answer & Explanation Answer: B) Veerappa Moily

Explanation:
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Filed Under: Books and Authors
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9 5699
Q:

A Bus is running at 9/10 of its own speed reached a place in 22 hours. How much time could be saved if the bus would run at its own speed ?

A) 1.5 hrs B) 1.7 hrs
C) 2.2 hrs D) 3.5 hrs
 
Answer & Explanation Answer: C) 2.2 hrs

Explanation:

Let the original Speed be "s" kmph
And the usual time be "t" hrs
Given that if the bus is running at 9s/10 kmph the time is 22 hrs
=> [9s/10] x 22 = t x s
=> 99/5 = t
=> t = 19.8 hrs

 

Hence, if bus runs at its own speed, the time saved = 22 - 19.8 = 2.2 hrs.

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Filed Under: Time and Distance
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1 5698
Q:

Who first translated Mahabharata into Tamil?

A) Kamban B) Bharavi
C) Perundevanar D) Sundaramurthi
 
Answer & Explanation Answer: C) Perundevanar

Explanation:
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Filed Under: Indian History
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5 5697
Q:

O and O' are the center of the two circles with radii 7cm and 9cm respectively. The distance between the centers is 20cm. If PQ be the transverse common tangent to the circles, which cuts OO' at X, what is the length of O'X in cm ?

A) 10 B) 6
C) 35/4 D) 45/4
 
Answer & Explanation Answer: D) 45/4

Explanation:

As clear from the figure itself, triangle OQX and triangle O'PX are similar.

So,

OQ/O'P = OX/O'X

=> OX = (7/9)xO'X

And since, OX + O'X = 20

=> (7/9)xO'X + O'X = 20

=> O'X = 45/4

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Filed Under: Arithmetical Reasoning
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8 5696
Q:

The length of two superfast trains are 140 mts and 160 mts respectively. If they run at the speed of 60 km/hr and 80 km/hr respectively in opposite direction, find the time in which they will cross each other ? 

A) 7.71 sec B) 10.48 sec
C) 9.36 sec D) 8.45 sec
 
Answer & Explanation Answer: A) 7.71 sec

Explanation:

Given L1 = 140 m

L2 = 160 m

S1 = 60 km/hr

S2 = 80 km/hr

From the question we get,

S1 + S2 = (L1 + L2) / T

=> (60 + 80) 5/18 m/s = 140 + 160/T

=> T = 54/7 = 7.71 sec

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Filed Under: Problems on Trains
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8 5693