CAT Quantitative Aptitude | Quant Questions 2017- PaGaLGuY

 P, Q, R and S, working in the same company, got hikes of certain percentage in two consecutive years. The details of their hikes are given below:
P got hikes of (x + 2)% and (x – 1)% respectively.
 Q got hikes of (x)% and (x + 1)% respectively.
 R got hikes of (x + 5)% and (x – 4)% respectively.
 S got hikes of (x + 3)% and (x – 2)% respectively.

  Who got the maximum raise?  

  What is the speed of the boat in still water?

 I.  It takes 2 hours to cover the distance between A and B downstream. 

 II.  It takes 4 hours to cover the distance between A and B upstream.     

A. I alone sufficient while II alone not sufficient to answer

B. II alone sufficient while I alone not sufficient to answer

C. Either I or II alone sufficient to answer

D. Both I and II are not sufficient to answer

E. Both I and II are necessary to answer 

Q190 with approach, answer is 30

Q185 with approach, answer is 2] 1

Plz solve this

Please help

[img]http://i.imgur.com/wrlAXlp.png[/img]

## remainders ## easy 


find the remainder when 

3^3 *4^4 *5^8 divided by 6000 


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#remainders ## moderate


find the remainder obtained when 10! +111 is divided by 143.


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 A fill pipe can fill a tank in 20 hours, a drain pipe can drain a tank in 30 hours. If a system of n pipes (fill pipes and drain pipes put together) can fill the tank in exactly 5 hours, which of the following are possible values of n (More than one option could be correct)?
(1) 32 (2) 54 (3) 29 (4) 40

Explanation????

## UNIT DIGIT ## BASICS


FIND the last digit in following sums:


i)   1!+2!+3!+.....100!

ii) 1!^2  +2!^2+3!^2+....100!^2

iii) 5323!  ^( 1+2+3....10)


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## UNIT ## Advanced


The last digit of 


1^1!  +2^2!+3^3!+  ,....+81^81!


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A basketball is dropped is from height of 20m. It bounces back each time to a height which is one half of the height of the last bounce. how far will the ball have travelled before it comes to rest?

please help 

[img]http://i.imgur.com/p7LmajX.png[/img]

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FInd the solution set for the inequality (x^2 -7x + 10) / (x^2 + 6x -40) < 1

Find the number of ways in which letters of the word 'MESOPOTAMIA' can be arranged taken all at a time so that vowels are not together.

In a village of P persons, X% can read and write. Of the males alone Y%, and of the females alone Z% can read and write. Find the number of males in the village in terms of p,x,y and z if z<y .

## TEASER ##


 In the country of Twenty, there are exactly twentycities, and there is exactly one direct road betweenany two cities. 

No two direct roads have anoverlapping road segment. After the election datesare announced, candidates from their respectivecities start visiting the other cities. 


Following arethe rules that the election commission has laiddown for the candidates

:• Each candidates must visit each of the othercities exactly once.

• Each candidates must use only the directroads between two cities for going from onecity to another.

• The candidates must return to his own city atthe end of the campaign

.• No direct road between two cities would beused by more than one candidate.The maximum possible number of candidates is 


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## BASIC ##


 How many whole numbers between 100 and 800 contain the digit 2? 

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##moderate##

 What is the maximum value of the function

y = (2x^2 + 3x + 4) / (x^2 + x + 3)

a) 11/23

b) 23/11

c) 4/7

d) 7/4

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