CAT Questions

Q:

(3x + 2) (2x - 5) = ax² + kx + n. What is the value of  a - n + k ?

A) 4 B) 1
C) 5 D) 3
 
Answer & Explanation Answer: C) 5

Explanation:

(3x + 2) (2x - 5) = ax2+kx+n ...............(1)

 

But (3x + 2)(2x - 5) = 6x2-11x-10........(2)

 

so by comparing (1) & (2),

 

we get a= 6, k= -11 , n= -10

 

(a - n + k) = 6 + 10 - 11 = 5.

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Q:

Solve the values?

solve_puzzle1547893377.jpg image

A) P=0, Q=8, R=1 B) P=0, Q=9, R=1
C) P=1, Q=9, R=0 D) P=0, Q=9, R=0
 
Answer & Explanation Answer: D) P=0, Q=9, R=0

Explanation:

By trial and error method,

P=0, Q=9, R=0 satisfies the values.

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7 3042
Q:

48 people could complete a task in 17 days. After 6 days, 4 of the workers left. How many days from then will it take to complete the task?

A) 12 B) 13
C) 15 D) 16
 
Answer & Explanation Answer: A) 12

Explanation:

Given, 48 people can do a work in 17 days. So total work = 48 x 17 = 816
Work done by 48 people in 6 days = 288.

The remaining work = 816 - 288 = 528
After 6 days four workers left. So number of people working is 44
Total number of days required for 44 men to complete the remaining work = 528/44 = 12

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Filed Under: Time and Work
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1 3042
Q:

Which protocol does ping use?

A) ICMP B) TCP
C) BootP D) ARP
 
Answer & Explanation Answer: A) ICMP

Explanation:

ICMP means Internet Control Message Protocol and is always coupled with the IP protocol (There are 2 ICMP variants one for IPv4 and one for IPv6.) echo request and echo response are the two operation codes of ICMP used to implement ping.

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Q:

The present ages of Pranay and Sai are in the ratio of 15 : 17 respectively. After 6 years, the respective ratio between the age of Pranay and Sai will be 9 : 10. What will be the age of Pranay after 6 years?

A) 42 B) 36
C) 30 D) 24
 
Answer & Explanation Answer: B) 36

Explanation:

Let present age of Pranay = 15p

That of Sai = 17p

ATQ,

15p + 6/17p + 6 = 9/10

=> 150p + 60 = 153p + 54

=> p = 2

Therefore, Age of Pranay after 6 yrs = 15 x 2 + 6 = 36 years.

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Filed Under: Problems on Ages
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7 3040
Q:

Which one of the following launched world's longest scheduled flight ?

A) Qatar Airways B) British Airways
C) Jet Blue D) Air India
 
Answer & Explanation Answer: A) Qatar Airways

Explanation:

The Qatar Airways has launched the World’s longest scheduled commercial service to ply between Doha to Auckland. The inaugural service of Flight QR920 took off on February 5, 2017 from Doha and will take 16 hours and 20 minutes to travel 14,535 kilometers to reach Auckland in New Zealand.
This makes Qatar Airways to launch the World’s fastest and longest passenger service in terms of flying time. Prior to this, emirates launched the world’s longest non-stop scheduled commercial flight with a service from Dubai to Auckland, spanning 14,200 kilometres.

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Q:

A tangent contains at most how many chords?

A) 1 B) 2
C) 3 D) 0
 
Answer & Explanation Answer: D) 0

Explanation:

A tangent contains ZERO chords, as it touches the circle at only one point.

 

Hence, it does not contain any chord.

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Filed Under: Arithmetical Reasoning
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2 3036
Q:

Who has sworn in as 45th Chief Justice of India  ?

A) Dipak Misra B) J S Khehar
C) T. S. Thakur D) Ranganath Misra
 
Answer & Explanation Answer: A) Dipak Misra

Explanation:
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