CAT Questions

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Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total. 

Work done by P and Q, working together in one day = 1/6 + 1/18  = 4/18 = 2/9 

They would take 9/2 days = 4 (1/2) days to complete the work working together.

Pen names have had a certain place of their own in the world of writing. Pen names are something which every writer comes across at some time in their careers.

Indian author to use a pen name Bhanu Simha is Rabindranath Tagore. He also has Gurudev, Kabiguru as his pen names.

1 man's 1 day work = 1/108
12 men's 6 day's work = 1/9 x 6 = 2/3

Remaining work = 1 - 2/3 = 1/3

16 men's 1 day work = 1/108 x 16 = 4/27
4/27 work is done by them in 1 day.

1/3 work is done by them in 27/4 x 1/3 = 9/4 days.

Here the given pair of words are related in such a way that they are synonyms.

That is Genuine and Authentic are synonyms and similarly, Mrage and illusion are synonyms.

Hence, Genuine : Authentic : : Mirage : Illusion.

An actor performs in a play. A musician performs at a concert.

Choices b, c, and d are incorrect because none is people who perform.

Hence, Play is to actor as concert is to Musician.

Let ratio of the incomes of Pavan and Amar be 4x and 3x

and Ratio of their expenditures be 3y and 2y

4x - 3y = 1889 ......... I

and

3x - 2y = 1889 ...........II

I and II

y = 1889

and x = 1889

Pavan's income = 7556

M is 8th from the top.

H is (50 - 20 + 1 =) 31 st from the top.

  Number of students between M and H = (31 - 8- 1=)22