CAT Questions

Q:

12 men complete a work in 9 days. After they have worked for 6 days, 4 more men join them. How many days will they take to complete the remaining work ?

A) 2 days B) 2.5 days
C) 2.25 days D) 3 days
 
Answer & Explanation Answer: C) 2.25 days

Explanation:

1 man's 1 day work = 1/108
12 men's 6 day's work = 1/9 x 6 = 2/3

Remaining work = 1 - 2/3 = 1/3

16 men's 1 day work = 1/108 x 16 = 4/27
4/27 work is done by them in 1 day.

1/3 work is done by them in 27/4 x 1/3 = 9/4 days.

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Filed Under: Time and Work
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18 13866
Q:

The default header for a worksheet is

A) The date and time B) User name
C) Date & Time D) None of the above
 
Answer & Explanation Answer: D) None of the above

Explanation:

MS Excel is the widely used worksheet in computer applications. We can add what we want in the header and footer of MS Excel sheets.

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Filed Under: Computer
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18 13852
Q:

The ratio of the angles of a triangle is 3 : 4 : 5. The three angles of a quadrilateral is equal to three angles of this triangle. What is the sum of the largest angle and second smallest angle of the quadrilateral ?

A) 225 deg B) 210 deg
C) 205 deg D) 245 deg
 
Answer & Explanation Answer: A) 225 deg

Explanation:

Angle of triangle = 180 × 3/12

= 45 deg

Other angles of the triangle are = 60 deg, 75 deg

Angle of quadrilateral

= 360 - (45 + 60 + 75)

= 180 deg

Therefore, the four angles of the quadrilateral are 45, 60, 75 & 180 degrees.

Hence, the sum of largest and smallest angle of the quadrilateral are 180 + 45 = 225 deg.

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Filed Under: Ratios and Proportions
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15 13851
Q:

Prime Minister NarendraModi released a book authored by LokSabha Speaker SumitraMahajan in New Delhi, recently. The book is titled as __________.

A) Matopadesh B) Bhagyashree
C) Preranadayini D) Matoshree
 
Answer & Explanation Answer: D) Matoshree

Explanation:

Prime Minister NarendraModi released a book authored by LokSabha Speaker SumitraMahajan in New Delhi, recently. The book is titled as 'Matoshree'.

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Filed Under: Books and Authors
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16 13824
Q:

Two girls ate dinner together.

 After that they both ordered iced tea. One girl drank them very fast and had finished five in the time it took the other to drink just one.

The girl who drank one died while the other survived. However, all of the drinks that were served turned out to contain poison.

 

How did the girl who drank the most survive?

Answer

The poison was in the ice. When the girl drank the iced tea, the ice was still fully frozen. Gradually, as the ice cubes melted the poison was released into the drink.


 


Hence, the girl who died, drunk the tea after the ice melted. So, she was died. 

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31 13819
Q:

Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 30% profit ?

A) Rs. 17.80 B) Rs. 16.30
C) Rs. 14 D) Rs. 15.40
 
Answer & Explanation Answer: B) Rs. 16.30

Explanation:

C.P. of 50 kg wheat = (30 * 11.50 + 20 * 14.25) = Rs. 630.

S.P. of 50 kg wheat = 130% of Rs. 630 = 130/100 * 630 = Rs. 819.
S.P. per kg = 819/50 = Rs. 16.38 = 16.30.
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Filed Under: Profit and Loss
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20 13806
Q:

A train running at the speed of 40 km/hr crosses a signal pole in 9 seconds. Find the length of the train ?

A) 90 mts B) 150 mts
C) 120 mts D) 100 mts
 
Answer & Explanation Answer: D) 100 mts

Explanation:

We know that   Speed=distancetime 

distance= speed * time


 d=40×518×9 

   d= 100 mts.

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11 13766
Q:

Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ?

A) 3 days B) 2 days
C) 6 days D) 12 days
 
Answer & Explanation Answer: C) 6 days

Explanation:

From the given data,

12 children 16 days work,
One child’s one day work = 1/192.


8 adults 12 days work,
One adult’s one day’s work = 1/96.


Work done in 3 days = ((1/96) x 16 x 3) = 1/2


Remaining work = 1 – 1/2 = 1/2


(6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12

1/12 work is done by them in 1 day.

1/2 work is done by them in 12 x (1/2) = 6 days.

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Filed Under: Time and Work
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11 13766