CAT Questions

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Raja Ram Mohan Roy, a social and educational reformer, was an idealist who contributed immensely in eradicating social evils prevalent in the society during the 18th century.
He was popularly known as "Father of Modern India".

He was given the title of Raja by the Mughal emperor Akbar Shah II in the year 1830 as he had gone to England as an envoy of the emperor.

A conception of right and wrong is the definition of Ethics.

Ethics are societal norms adopted by a group which deals with the fundamental human relation ships.

Given, difference of the squares of two numbers is 180.

= k² - l² - 180

Also, square of the smaller number is 8 times the larger.

= l² = 8k

Thus, k² - 8a - 180 = 0

k² – 18k + 10k - 180 = 0

→  k(k - 18) + 10(k – 18) = 0

= (k + 10)(k – 18) = 0

→  k = -10, 18

Thus, the other number is

324 - 180 = l² 

→ Numbers are 12, 18 or -12, 18.

We know that,

P.W = 100×T.D/R×T

= 100×168/14×2

P.W = 600.

Now, required Sum = (P.W. + T.D.)

= Rs. (600 + 168)

= Rs. 768.

DOZENS.

If we remove 'S' from it, it is DOZEN which tells that 12.

A Donut or Doughnut. Anything in the shape of a torus.