CAT Questions

Q:

The edge of three cubes of metal is 3 m, 4 m and 5 m. They are melted and formed into a single cube. Find the edge of the new cube  ?

A) 15 m B) 4 m
C) 6 m D) 9 m
 
Answer & Explanation Answer: C) 6 m

Explanation:

The edge of the new cube is = 33+43+53 = a3 => a = 6 m.

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Filed Under: Area
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6 6727
Q:

If A x B means A is to the south of B; A + B means A is to the north of B; A % B means A is to the east of B; A - B means A is to the west of B; then in P % Q + R - S, S is in which direction with respect to Q ?

A) South-East B) North-West
C) East D) West
 
Answer & Explanation Answer: A) South-East

Explanation:

P % Q + R - S
=> P is to the East of Q, who is to the North of R, who is to the West of S.
=> Q.....P
      R.....S
=> With respect to Q, S is to the South-East of Q.

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Filed Under: Direction Sense Test
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32 6726
Q:

The cost price of three varieties of mangoes namely M, N and O is Rs. 20/kg, Rs. 40/kg and Rs. 50/kg respectively. Find the selling price of one kg of mango in which these three varieties of mangoes are mixed in the ratio of 2 : 3 : 5 such that there is a net profit of 20%?

A) Rs. 47 B) Rs. 49.2
C) Rs. 48.5 D) Rs. 50.3
 
Answer & Explanation Answer: B) Rs. 49.2

Explanation:

Total cost of all varieties of mangoes = 20 x 2 + 40 x 3 + 50 x 5 = 40 + 120 + 250 = Rs. 410

Then, cost of 1 kg mangoes = 410/10 = Rs. 41

To get 20% profit,

The rate at which the mangoes should be sell = 120/100 x 41 = Rs. 49.2

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15 6725
Q:

In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together?

A) 360 B) 720
C) 120 D) 840
 
Answer & Explanation Answer: A) 360

Explanation:

CAPITAL = 7

 

Vowels = 3 (A, I, A)

 

Consonants = (C, P, T, L)

 

5 letters which can be arranged in  5P5=5!

 

Vowels A,I = 3!2!

 

No.of arrangements = 5! x 3!2!=360

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Filed Under: Permutations and Combinations
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4 6722
Q:

At what time will B catch up with A, if A starts from a place at 11.00 A.M. and travels at a speed of 3.5 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on.

A) 8 : 47 pm B) 6 : 40 pm
C) 8 : 42 pm D) 7 : 40 pm
 
Answer & Explanation Answer: D) 7 : 40 pm

Explanation:

At 1 pm ... Distance between A and B = 2x3.5 = 7 kms
at 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kms
At 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.
..
..
..
At 7 pm distance between A and B = 3 kms.
From 7 pm to 8 pm, speed of A = 3.5 kmph
speed of B = 8 kmph
Relative speed = 4.5 kmph

Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins.

So meeting time is 7 : 40 PM.

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Filed Under: Arithmetical Reasoning
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2 6721
Q:

Who has become the first full time woman Defence Minister of India ?

A) Sushma Swaraj B) Nirmala Sitharaman
C) Uma Bharathi D) Smriti Irani
 
Answer & Explanation Answer: B) Nirmala Sitharaman

Explanation:

Nirmala Sitharaman, who took oath as the new Cabinet member in september 2017 under Narendra Modi, has been given the Defence Ministry portfolio. Incidentally, she has become the first dedicated woman defence minister of India and only the second woman to hold the crucial ministry after Indira Gandhi. 

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Filed Under: Indian Politics
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26 6720
Q:

Which type of rock usually underlies a karst landscape?

A) Limestone B) Quartz
C) Granite D) All the above
 
Answer & Explanation Answer: A) Limestone

Explanation:

Karst is a type of landscape that is characterized by caverns, caves, sinkholes, and underground streams. These features were all caused by erosion of the underlying rock.

 

Limestone type of rock usually underlies a karst landscape.

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Filed Under: Indian Geography
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8 6705
Q:

One boat is overtaking another. Which boat must give way?

Answer

The boat which is overtaken must give way to the boat which is overtaking.

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Subject: Logic Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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20 6703