CAT Questions

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1/k - 1/20 = -1/24

k = 120

120 x 4 = 480

Therefore, the capacity of the cistern is 480 liters.

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.

Here, x = 20 and y = - 20
Therefore, the net % change in value
=x + y + xy100 %
= 20 + -20 + 20 × -20100%  or  - 4%

Since the sign is negative, there is a decrease in value by 4%.

If Vijay gives 'x' marbles to Ajay then Vijay and Ajay would have V - x and A + x marbles.
V - x = A + x --- (1)
If Ajay gives 2x marbles to Vijay then Ajay and Vijay would have A - 2x and V + 2x marbles.
V + 2x - (A - 2x) = 30 => V - A + 4x = 30 --- (2)
From (1) we have V - A = 2x
Substituting V - A = 2x in (2)
6x = 30 => x = 5.

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.

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 pattern is 12 22, 32 42, 52 62, 

∴The next number= 72 82= 4964

Let the number of sides be n. 

The number of diagonals is given by ⁿC₂ - n  

^{Therefore, n}C₂ - n = 44, n>0 

ⁿC₂ - n = 44

n² - 3n - 88 = 0 

n² -11n + 8n - 88 = 0  

As n>0, n will not be -8. Therefore, n=11.