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 31332
Q:

In the following question, select the missing number from the given series.

 

15, 7.5, 7.5, ?, 22.5, 56.25

 

A) 10.25 B) 11.25  
C) 11 D) 12.5
 
Answer & Explanation Answer: B) 11.25  

Explanation:
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Filed Under: Number Series
Exam Prep: Bank Exams , CAT

6 31281
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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58 31126
Q:

What should come in place of the question mark(?) in the following questions ?

316 + 412 - 223 - 11112 = ?

A) 1 7/12 B) 1 5/12
C) 3 7/12 D) 3 1/12
 
Answer & Explanation Answer: D) 3 1/12

Explanation:

? = (3 + 4 - 2 - 1) + ( 1/6 + 1/2 - 2/3 - 11/12) 

= 4 + [(2+6-8-11)/12] 

= 4 - (11/12 )= 31/12.

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Filed Under: Mathematical Operations
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125 31113
Q:

Find the next number in the given number series?

8, 11, 19, 23, 32, ?

A) 37 B) 39
C) 47 D) 49
 
Answer & Explanation Answer: A) 37

Explanation:

The given number series is 8, 11, 19, 23, 32, ?

It follows a pattern that

8 + 11 = 19

11 + 12 = 23

19 + 13 = 32

23 + 14 = 37

32 + 15 = 47

....

 

Hence, the next number in the given series = 37.

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Filed Under: Number Series
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13 30989
Q:

Which figure completes the series?

 

Question Figures ::                    Answer Figures ::

101558010123.png image

   A      B      C       D          E            1     2      3        4       5

A) 1 B) 2
C) 3 D) 4
 
Answer & Explanation Answer: A) 1

Explanation:

The pattern followed in the given figures is

 

 

 

One, two, three, one, two, three.....arcs get inverted sequentially. This inversion takes place in an Anti Clock Wise direction.

 

 

 

 

 

 

 

Hence, figure 1) will come in the next to complete the series.

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Filed Under: Pattern Completion
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19 30976
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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91 30878
Q:

The famous Rock Garden is located in which city?

A) Jaipur B) Simla
C) Lucknow D) Chandigarh
 
Answer & Explanation Answer: D) Chandigarh

Explanation:

The famous Rock Garden which is also known as Nek Chand's Rock Garden after its founder Nek Chand, a government official who started the garden secretly in his spare time in 1957 is in the city Chandigarh.

 

The Rock Garden of Chandigarh is a sculpture garden in Chandigarh, India.

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105 30831