CAT Questions

Q:

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most  ?

A) 215 B) 268
C) 254 D) 216
 
Answer & Explanation Answer: A) 215

Explanation:

Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 x 6 x 6 = 216. Of these attempts, one of them is a successful attempt.

 

Maximum number of unsuccessful attempts = 216 - 1 = 215.

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Filed Under: Permutations and Combinations
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27 30753
Q:

125 over 1000 in Simplest Form?

A) 2/9 B) 1/8
C) 3/8 D) 4/7
 
Answer & Explanation Answer: B) 1/8

Explanation:

125 over 1000 in Simplest Form means 1251000 in its simple fraction form.

 

Now, to get the simplest form of 125/1000, find the HCF or GCD of both numerator and denominator i.e, 125 and 1000.

 

HCF of 125, 1000 = 125

 

Then, divide both numerator and denominator by 125

i.e, 1251251000125 = 18

 

Hence, 18 is the simplest form of 125 over 1000.

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Filed Under: Decimal Fractions
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50 30684
Q:

Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of rajeev?

A) 12 B) 14
C) 22 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

Let Rajeev's present age be  x years.

Rajeev's age after 15 years = (x + 15) years.

Rajeev's age 5 years back = (x - 5) years

Then ATQ, 

x + 15 = 5 (x - 5)

x + 15 = 5x - 25

=> x = 10

 

Hence, Rajeev's present age = x = 10 years.

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Filed Under: Problems on Ages
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48 30664
Q:

In the following question, select the related number from the given alternatives.

5 : 124 : : 6 : ?

A) 215 B) 216
C) 217 D) 220
 
Answer & Explanation Answer: A) 215

Explanation:
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Filed Under: Analogy
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0 30650
Q:

In the following question, select the related word from the given alternatives.

Car : Road : : Ship : ?

A) Water B) Air
C) Road D) Both Air and Water
 
Answer & Explanation Answer: A) Water

Explanation:
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Filed Under: Analogy
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0 30642
Q:

11 letter Indian city is I am

Hints ::

2,4,10 is a Unit of Length .

Last 6 letters is a Fruit Name.

9,5,3 is a Soap Name.

1,8,3 is used by a Student

7,8,3 letters is a Bird Name.

6,7,5,3 is an organ in the Face.

 

From the above given Hints Find that Indian City Name?

Answer

PONDICHERRY is the Indian City with 11 Letters.


Fruit Name : CHERRY


Soap Name : RIN


Bird Name : HEN


Organ : CHIN


Used by Student : PEN

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160 30625
Q:

In a scheme, a pack of three soaps with MRP Rs.45 is available for Rs.42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is ?

A) 38 B) 39
C) 40 D) 41
 
Answer & Explanation Answer: C) 40

Explanation:

Given M.P=45,S.P=42, Profit = 0.05

Let C.P=x , Then

Profit = (42-x)/x = 0.05
=> x = 40.

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Filed Under: Profit and Loss
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57 30467
Q:

A boat takes 19 hours for travelling downstream from point A to point B and coming back to a point C which is at midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B ? 

A) 180 km B) 160 km
C) 140 km D) 120 km
 
Answer & Explanation Answer: A) 180 km

Explanation:

Speed in downstream = (14 + 4) km/hr = 18 km/hr;

Speed in upstream = (14 – 4) km/hr = 10 km/hr.

Let the distance between A and B be x km. Then,

x/18 + (x/2)/10 = 19 ⇔ x/18 + x/20 = 19 ⇒ x = 180 km.

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Filed Under: Boats and Streams
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90 30381