CAT Questions

Q:

Minutes Hand Clock Puzzle?

A) 12 B) 24
C) 44 D) 60
 
Answer & Explanation Answer: B) 24

Explanation:

Exactly 24 times.

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Q:

Find the length of the altitude of an equilateral triangle of side  33cm.

A) 4.5 B) 3.5
C) 2.5 D) 6.5
 
Answer & Explanation Answer: A) 4.5

Explanation:

Let the length of the altitude be h.
Then, h = a32   = 33 × 32 = 4.5

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Q:

Which of the following statements about monosaccharide structure is true?

A) Aldoses and ketoses differ in the position of their hydroxyl groups. B) Monosaccharides can be classified according to the spatial arrangement of their atoms.
C) All monosaccharides contain carbon, hydrogen, oxygen, and nitrogen atoms. D) A six-carbon sugar is called a pentose.
 
Answer & Explanation Answer: B) Monosaccharides can be classified according to the spatial arrangement of their atoms.

Explanation:

Monosaccharides, also called simple sugars, are the most basic units of carbohydrates. They are fundamental units of carbohydrates and cannot be further hydrolyzed to simpler compounds.

 

Hence, Monosaccharides can be classified according to the spatial arrangement of their atoms is true about Monosaccharides.

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Q:

A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is ?

A) 400 m B) 300 m
C) 500 m D) 600 m
 
Answer & Explanation Answer: A) 400 m

Explanation:

Speed = 78 x 5/18 = 65/3 m/sec.
Time = 1 min = 60 sec.
Let the length of the train be x meters.
Then, (900 + x)/60 = 65/3
x = 400 m.

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Q:

Who prepares the topographical maps of India?

A) Defence Ministry B) Geological Survey of India
C) Survey of India D) Geographical Survey of India
 
Answer & Explanation Answer: C) Survey of India

Explanation:

Survey of India publishes maps and the unrestricted category maps can be obtained at very affordable prices from its several Geospatial data centers. Restricted category maps require due approval from government authorities. Many other rules govern the sale and use of Survey of India maps. Only an Indian citizen may purchase topographic maps and these may not be exported from India for any reason.

 

The Survey of India is India's central engineering agency in charge of mapping and surveying, set up in 1767. Its members are from Survey of India Service cadre of Civil Services of India. It is headed by the Surveyor General of India.

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Q:

Which is better investment : 11% stock at 143 (or) 9 3/4% stock at 117 ?

A) Both are equally good B) 9 3/4% stock at 117
C) Cannot be compared, as the total amount of investment is not given D) 11% stock at 143
 
Answer & Explanation Answer: B) 9 3/4% stock at 117

Explanation:

Let investment in each case be Rs. (143 x 117).

 

Income in 1st case = Rs.11143 x 143 x 117 = Rs. 1287.
Income in 2nd case = Rs.394×117 x 143 x 117= Rs. 1394.25

 

Clearly, 9 3/4% stock at 117 is better.

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Q:

How many balls?

Number of balls in the figure...

balls1523099634.jpg image

Answer

You have to actually count all the balls in the pyramid.
Simple way is to count the balls in each level.


So lower most level lets say 1st level has 4 x 4 balls; i.e. 16 balls
Similarly 2nd level has 3 x 3 balls; i.e. 9 balls.
3rd level has 2 x 2 balls; i.e. 4 balls.
The top most level has just 1 ball.


So the total number of balls is 16+9+4+1 = 30.


 


So the image has 30 Balls in all.

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Q:

A restaurant offers a new promotion of 20% off the original price of cakes, which is Rs. 12. Before the promotion 250 cakes were sold each day. After the promotion, the sale of cakes increases an average of 18% more per day. How much more or less does the restaurant make each day in cakes sales after the promotion?

A) Rs. 185 less B) Rs. 202 more
C) Rs. 175 more D) Rs. 168 less
 
Answer & Explanation Answer: D) Rs. 168 less

Explanation:

Cost of each cake P1 & P2 = Rs. 12

Offer decrease in % = 20%

Increase in sale per day (Q2) = 250 - 18%

Total quantity per day (Q1) = 250

Hence, required change total revenue

TR = P2Q2 - P1Q1 = (12 x 0.8 x 250 x 1.18) -  (12 x 250) = - Rs.168.

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