CAT Questions

Q:

How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ?

A) 59 B) 60
C) 61 D) 64
 
Answer & Explanation Answer: B) 60

Explanation:

The given digits are 1, 2, 3, 5, 7, 9  

A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways.

 

Number of even numbers = ⁵P₃ = 60.

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1 7540
Q:

It costs Rs. p each to send the first thousand messsages and Rs. q to send each subsequent one . If r is greater than 1,000, how many Rupees will it cost to send r messages ?

A) 1000 (r - p) + pq B) 1000 p + qr
C) 1000 (r - q) + pr D) 1000(p - q) + qr
 
Answer & Explanation Answer: D) 1000(p - q) + qr

Explanation:

We need to find the total cost to send r messsages, r > 1000.

The first 1000 messsages will cost Rs.p each (Or) 

The total cost of first 1000 messsages = Rs.1000p

The remaining (r - 1000) messsages will cost Rs.q each (Or)

The cost of the (r - 1000) = Rs.(r - 1000)y

 

Therefore, total cost = 1000p + rq - 1000q

= 1000(p - q) + qr

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15 7524
Q:

P and Q were assigned to do a work for an amount of 1200. P alone can do it in 15 days while Q can do it in 12 days. With the help of R they finish the work in 6 days. Find the share of R ?

A) 120 B) 240
C) 360 D) 180
 
Answer & Explanation Answer: A) 120

Explanation:

1/15 + 1/12 + 1/R = 1/6, we got R = 60 (it means R will take 60 days to complete the work alone)


so ratio of work done by P:Q:R = 1/15 : 1/12 : 1/60 = 5 : 4 : 1


so R share = (1/10) x 1200 = 120.

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5 7524
Q:

First education minister of independent India?

A) Indira Gandhi B) Durba Banerjee
C) Maulana Abul Kalam Azad D) Sucheta Kripalani
 
Answer & Explanation Answer: C) Maulana Abul Kalam Azad

Explanation:

Maulana Abul Kalam Azad, the first education minister of independent India, who served from 15 August 1947 until 2 February 1958.

mulana_abdul_kalam1523450512.jpg image  

 

Indira Gandhi - First Women Prime minister of India

 

Durba Banerjee - The first woman Airline Pilot

 

Sucheta Kripalani - The first woman Chief Minister of an Indian State.

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9 7523
Q:

Group the given figures into three classes using each figure only once.

3_201484718690.png image

A) 1,3,5 ; 2,4,7 ; 6,8,9 B) 1,5,7 ; 2,3,6 ; 4,8,9
C) 1,3,5 ; 2,6,7 ; 4,8,9 D) 1,6,9 ; 2,4,7 ; 3,5,8
 
Answer & Explanation Answer: D) 1,6,9 ; 2,4,7 ; 3,5,8

Explanation:

1, 6, 9 are figures which are half shaded by slanting lines.
2, 4, 7 are all divided into equal parts (either three or four parts) by straight lines and also have a black circle at the centre.
3, 5, 8 have similar designs and have their four corners shaded black.

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26 7518
Q:

Only genius can solve this puzzle?

genius_maths_puzzle1564054544.jpg image

A) 36 B) 40
C) 48 D) 60
 
Answer & Explanation Answer: C) 48

Explanation:

In the given puzzle the logic is

2 x 1 + 1 = 2 + 1 = 3

3 x 2 + 2 = 6 + 2 = 8

4 x 3 + 3 = 12 + 3 = 15

5 x 4 + 4 = 20 + 4 = 24

6 x 5 + 5 = 30 + 5 = 35

Similarly,

7 x 6 + 6 = 42 + 6 = 48

7 = 48.

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19 7515
Q:

Where is Panch Mahal situated 

A) Fatehpur Sikri B) Gandhinagar
C) Allahabad D) Varanasi
 
Answer & Explanation Answer: A) Fatehpur Sikri

Explanation:

Fatehpur Sikri in Uttar Pradesh.

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22 7513
Q:

Bar chart is suitable for

A) Minor work B) Large project
C) Major work D) All of the above
 
Answer & Explanation Answer: A) Minor work

Explanation:

Bar_chart_is_suitable_for1560488875.jpg image

A bar chart or bar graph is a chart or graph that presents data with rectangular bars. Bar charts is suitable for minor works for comparing between categories of data.

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9 7499