CAT Questions

---

Given ratio of initial investments = 72:43:65 = 105 : 40 : 36.

 Let the initial investments be 105x, 40x and 36x.

∴A:B:C = 105x×4 + 150100×105x×8 : 40x×12 : 36x×12  

               = 1680x : 480x : 432x = 35 : 10 : 9.

Hence, B's share = 21600×1054 = Rs. 4000.

Work done by the waste pipe in 1 minute =115-120+124=115-11120 = -140 [-ve sign means emptying]

Volume of 140part = 3 gallons

Volume of whole = (3 x 40) gallons = 120 gallons.

Astronomy is the study of planets and heavenly bodies. Historically, astronomy has focused on observations of heavenly bodies. It is a close cousin to astrophysics. Succinctly put, astrophysics involves the study of the physics of astronomy and concentrates on the behavior, properties and motion of objects out there.
 

To get a pair of black rings 100 percent certain

27 blue + 17 red + 2 black = 40 rings should be taken out

Then only we can get 100 % a pair of black rings. 

Let the number of failed students be x

=> Number of passed students = 4x 

So total number of students was 5x

From the given data,

If total number of students be 5x – 35

=> 4x-35-9/x+9 = 2/1

=> 4x – 44 = 2(x + 9)

=> 4x – 2x = 18 + 44

=> x = 31

Total number = 31×5

= 155

Let x and y be the respective km's travelled by man via taxi and by his own car.
Given x + y = 90 => x = 90 - y
But according to the question,
7x + 6y = 595
7(90-y) + 6y = 595
=> 630 - 7y + 6y = 595
=> y = 630 - 595 = 35
=> x = 90 - 35 = 55
Therefore, the distance travelled by taxi is 55 kms.

The late Yashwantrao Balwantrao Chavan of the Congress(I) known as YB Chavan was given the official status of the Leader of the Opposition, with the rank of a Cabinet Minister, in the Lok Sabha, in 1977 by the janata Government.

Yashwantrao Balwantrao Chavan was the first Chief Minister of Maharashtra after the division of Bombay State and the fifth Deputy Prime Minister of India. He was a strong Congress leader, co-operative leader, social activist and writer. He was popularly known as Leader of Common People

Hence, Chavan was thus the first opposition leader to enjoy this status.

The Surface tension pulls the surface of the drop equally at all points thus produces the spherical shape having the minimum surface area. This surface tension is the "skin" of a body of water that makes the molecules stick together.