CAT Questions

Q:

Find the wrong number in the given series :

26, 20, 16, 11, 8, 6, 5

A) 5 B) 26
C) 11 D) 16
 
Answer & Explanation Answer: D) 16

Explanation:

26 - 6 = 20

20 - 5 = 15

15 - 4 = 11

11 - 3 = 8

8 - 2 = 6

6 - 1 = 5

Therefore, 16 is wrong number.

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Filed Under: Number Series
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23 10618
Q:

Every component of your computer is either

A) Hardware or CPU B) RAM/CPU or Hardware
C) Hardware or Software D) System or Application software
 
Answer & Explanation Answer: C) Hardware or Software

Explanation:

All the computers have components that are either Hardware or Software.

The five major components of computers are :

-> Input Unit

-> Output Unit

-> CPU Unit

-> ALU Unit and

-> Control Unit.

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Filed Under: Computer
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33 10611
Q:

In a Certain Country 1/2 of 5 = 3. If the same proportion holds, what is the value of 1/3 of 10 ?

A) 4 B) 6
C) 8 D) 10
 
Answer & Explanation Answer: A) 4

Explanation:

Let 1310 = x 

=> 3x = 10

 

Given that 125=3

 

Therefore, 52x = 10 

 

=> x = 10/3 = 4.

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Filed Under: Math Puzzles
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20 10598
Q:

80 litres of diesel is required to travel 800 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 1000 kms using 1200 cc engine ? 

A) 120 lit B) 140 lit
C) 110 lit D) 150 lit
 
Answer & Explanation Answer: D) 150 lit

Explanation:

To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 80 litres.

=> the amount of diesel required to cover a distance of 1000 kms = 1000 x 80/800 = 100 litres

However, the vehicle uses a 1200 cc engine and it is given that the amount of diesel required varies directly as the engine capacity.

i.e., for instance, if the capacity of engine doubles, the diesel requirement will double too.

Therefore, with a 1200 cc engine, quantity of diesel required = 1200/800 x 100 = 150 litres.

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Filed Under: Ratios and Proportions
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14 10596
Q:

In a certain code language, 'is uc he bh kr' mean 'Lucky likes to dance freely', 'ha by lm kr op' mean 'Dance can be a hobby', 'he id ac kr bh' mean 'Lucky teaches dance to kids' and 'kr id bh tw uc' mean 'Kids dance freely with Lucky'.

Now answer the given question.

'Lucky likes to dance with kids' can be coded as ?

A) he kr op id uc tw B) bh is he kr tw id
C) ac tw op bh uc id D) None of the above
 
Answer & Explanation Answer: B) bh is he kr tw id

Explanation:

From given data, codes for

Lucky - bh

Likes - is

to - he

Dance - kr

with - tw

Kids - id

Hence, Lucky like to dance with kids can be coded as 'bh is he kr tw id'.

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Filed Under: Coding and Decoding
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60 10586
Q:

A man walks at a speed of 2 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 20 1/2 km, if he completes half of the distance, i.e., (10 1/4) km on foot and the other half by running ?

A) 12.4 hrs B) 11.9 hrs
C) 10.7 hrs D) 9.9 hrs
 
Answer & Explanation Answer: B) 11.9 hrs

Explanation:

We know that

Time = Distance/speed
Required time = (10 1/4)/2 + (10 1/4)/6
= 41/8 + 41/6
= 287/24 = 11.9 hours.

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Filed Under: Time and Distance
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9 10584
Q:

" Kamarupa " is the old name of ______ state ?

A) Bihar B) Assam
C) Bengal D) Odisha
 
Answer & Explanation Answer: B) Assam

Explanation:

Alternately it is also called as Pragjyotisha before British rule.

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Filed Under: Indian History
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21 10580
Q:

A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook ?

A) 15 B) 20
C) 10 D) 8
 
Answer & Explanation Answer: C) 10

Explanation:

Let the price of each note book be Rs.x.

Let the number of note books which can be brought for Rs.300 each at a price of Rs.x be y.

Hence xy = 300

=> y = 300/x

(x + 5)(y - 10) = 300 => xy + 5y - 10x - 50 = xy

=>5(300/x) - 10x - 50 = 0 => -150+x2+5x

multiplying both sides by -1/10x

=> x2+15x-10x-150=0

=> x(x + 15) - 10(x + 15) = 0

=> x = 10 or -15

As x>0, x = 10.

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Filed Under: Simplification
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9 10576