CAT Questions

Q:

Solve 30 + (.0825 x 30) + (15% x 30)

A) 24.750 B) 36.975
C) 34.652 D) 26.354
 
Answer & Explanation Answer: B) 36.975

Explanation:

30 + (.0825 x 30) + (15% x 30)

 

Now

=> 0.0825 x 30 = 2.475 -----(1)

=> 15% of 30 = 450/100 = 4.5 -----(2) 

 

Hence, from (1) & (2)

30 + (.0825 x 30) + (15% x 30)

= 30 + 2.475 + 4.5

30 + (.0825 x 30) + (15% x 30) = 36.975.

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Filed Under: Percentage
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19 9775
Q:

Where does the series number on a map appear?

A) Upper right margin B) Lower left margin
C) Both A & B D) Not Exist
 
Answer & Explanation Answer: C) Both A & B

Explanation:

The series number is found in both the upper right margin and the lower left margin. It is a sequence reference expressed either as a four-digit numeral (1125) or as a letter, followed by a three- or four-digit numeral (M661, T7110).

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Filed Under: General Awareness
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12 9770
Q:

If 1/8 of a pencil is black, 1/2 of the remaining is white and the remaining, 3/2cm is blue. Find the total length of the pencil?

A) 8 cms B) 7 cms
C) 9 cms D) 11 cms
 
Answer & Explanation Answer: A) 8 cms

Explanation:

Let the total length of the pencil = x cms

From the given data,

'x/8' is black

Remaining part = x - x/8 = 7x/8

1/2 of 7x/8 is white

=> 7x/16 is white (Remaining part is 7x/16)

And given that the remaining part is blue and is 3 1/2 cm = 7/2 = 3.5 cm

That remaining part = 7x/16

Therefore,

7x/16 = 7/2

x = 16/2 = 8

Hence, the total length of the pencil = x = 8 cm.

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Filed Under: Percentage
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17 9765
Q:

A train travelling with a speed of 60 km/hr catches another train travelling in the same direction and then leaves it 120m behind in 18 seconds. The speed of the second train is

A) 42 kmph B) 72 kmph
C) 36 kmph D) 44 kmph
 
Answer & Explanation Answer: C) 36 kmph

Explanation:

Given speed of the first train = 60 km/hr = 60 x 5/18 = 50/3 m/s

Let the speed of the second train = x m/s

Then, the difference in the speed is given by

503 - x = 12018

=> x = 10 m/s

=> 10 x 18/5 = 36 km/hr

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Filed Under: Problems on Trains
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21 9762
Q:

India is the largest producer of

A) Cotton B) Milk
C) Mangoes D) All the above
 
Answer & Explanation Answer: D) All the above

Explanation:

As per the latest updates, India is :

 

  • Largest producer of milk.
  • Largest producer of millets in the world.
  • Largest producer of jute.
  • Largest producer of ginger.
  • Largest producer of bananas.
  • Largest producer of castor oil seeds.
  • Largest producer of mangoes.
  • Largest producer of safflower oil seeds.
  • Largest producer of papayas.
  • Largest producer of cottonseed (As per International Cotton Advisory Committee (ICAC) report for the month of March 2017)

 

  • Second largest producer of tea, the first position being held by China.
  • Second largest producer of sugarcane, the first position being held by Brazil.
  • Second largest producer of wheat, the first position being held by China.
  • Second largest producer of onions, the first position being held by China.
  • Second largest producer of potatoes, the first position being held by China.
  • Second largest producer of garlic, the first position being held by China.
  • Second largest producer of rice, the first position being held by China.
  • Second largest producer of cement., next to China.
  • Second largest producer of silk, the first position being held by China.
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6 9761
Q:

The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides does the polygon have ?

A) 6 B) 4
C) 5 D) 7
 
Answer & Explanation Answer: A) 6

Explanation:

We know that

Sum of Interior angles of Polygon = 180(n-2)
Sum of Exterior angles of Polygon = 360
so 180(n-2)=2x360
Therefore, by solving we get n=6 sides.

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Filed Under: Arithmetical Reasoning
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22 9761
Q:

If a+b+c =21 what is the total number of positive integral solutions?

A) 109 B) 190
C) 901 D) 910
 
Answer & Explanation Answer: B) 190

Explanation:

Number of positive integral solutions =  n-1Cr-1 = C220 = 190

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Filed Under: Permutations and Combinations
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6 9741
Q:

Bread : Yeast :: Curd : ?

A) Fungi B) Bacteria
C) Germs D) Virus
 
Answer & Explanation Answer: B) Bacteria

Explanation:

First is produced by the action of the second.

Hence, Bread : Yeast :: Curd : Bacteria.

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Filed Under: Analogy
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5 9735