[Official] Quant Thread for 2015!

Find the number of solutions to:

root( x + 1 ) - root( x - 1 ) = root( 4.x - 1 ).

The given equation, 2.x2 - 2.(2.a + 1).x + a.(a+1) = 0 has one root greater than a and other less than a. Find the maximum negative integral value 'a' can take.

How many pairs of numbers exist such that their LCM is 1260 and their HCF is a prime number?

OA= 24

Plz explain

Find the number of real roots of the equation: (x-1)^2 + (x-2)^2 + (x-3)^2 = 0.

wht is the difference between median and mean package?

and what is min package then?

what will be the last two digits of (7689) ^7688....?? @chinki93  have a look... @sagarcat  @Going_High  I am getting 19 as the Oa is different...please check

if 2 gunshot were fired at a interval of 12 min from a place and a a person approaching the same place hears the gunshot at a interval of 11 mins what is the speed of the person appraoching....??? speed of sound is 330

rahul tears off a page from his book. after this, he notices that the sum of the page numbers of all he remaining pages is 1000. so what would  be the page numbers on the torn page?

If N =2*(4/3)*(6/5)*(8/7)...(400/399), then N must lie between 

a) 40 to 50  b) 20 to 30  c) 50 to 60  d) 10 to 20

If a series of numbers are given for which finding its genralised formula is not easy, but the difference btwn the  2 consecutive number of the series form an AP. Is there any particular way to tackle such problems if asked to find the sum of such series.

How many pairs of numbers exist such that their LCM is 1260 and their HCF is a prime number? 

find the max or min value as applicable of y= |2x-4|-1 and y=1-|x/2+3|? any other approach except to plot the  graph?

given n=35*6*37.....67, what is remainder left when n is divided by 289? @scrabbler please help

if N= 2*4*6*8.....400/1*3*7*....399, n must lie between? @scrabbler please help

In triangle ABC, angles B and C are equal to 80. D and E are points on AB and AC such that angle DCB is 60 and angle EBC is 70. Lines CD and BE intersect at F. Find angle DEF.

which is largest among four: 3333^33, 333^333, 33^3333, 3^33333? share the approach too

a company has a loan of rs 200 crore for 3 years at ci of 10% annually compounded. the company wishes to repay the loan in 3 equal installments at the end of each year. what will be value of each installment.

Guys please give me suggestion as my QA is very bad..

Also,which are the most crucial topics for CAT? 

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