Official Quant thread for CAT 2013

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Find the number of pairs of real numbers x, y such that (x^2+ 8x +17)(y^2− 2y + 6) = 5

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If A is the sum of the squares of the first n natural numbers (where n


(a) 40 (b) 60 (c) 59 (d) 39

Sum of an infinite GP whose common ratio is numerically less than 1 is 32 and the sum of first two terms is 24 .what is the Third term....2,8,16,12 or 4


Sum of series....{1/[(2)^1/2+(1)^1/2]}+1/[(2)^1/2+(3)^1/2}.........+1/[(120)^1/2+(121)^1/2}

A right angled triangle with integer sides has one side as 18 cm. Let M be the maximum possible area, and let N be the smallest possible area of this triangle.


what is the value of M-N ?

There are two red colour baskets. First basket contains 4 red and 5 identical green balls and second basket contains 5 red and 4 identical green balls. Find the probability that a ball selected at random is a red ball.

1.39/60

2.2/3

3.9/60

4.49/60

what will be nature of graph lyl*x =3?

it will b one to many or many to one function?

please comment

Train T1 travels from IIM-A to IIM-B and Train T2 travels from IIM-B to IIM-A. Train T1 and T2 leave IIM-A and IIM-B on monday at 1:00 a.m and 6:00 a.m respectively. The trains travels on parallel track and cross each other at 20 mins past 10:00 p.m on the same day. If both the trains reached at their destinations simultaneously at time “T” , then “T” must be?

  • 4:10 p.m on tuesday
  • 5:10 p.m on tuesday
  • 5:00 p.m on tuesday
  • 5:05 p.m on tuesday

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2^y = y+1 has how many solutions-

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no.of distinct triangles for a given perimeter? formula kya hai? n^2/ 48 aisa kuchh tha na.... PG search is giving weird results..rolleyes


Anyone?

If |x|

Q5






hi puys,
can someone pls explain CL fundamentals of set theory book pg 56 type 2 example 8 clearly?
i could not understand any of the solutions provided.
pls help..!!

please help with the solution..

In how many ways can a four-letter password be chosen, using the letters A, B, C, D, E,and/or F, such that at least one letter is repeated within the password?

P.S: NO OA AVAILABLE.

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If p=abc and Q=uv are three digits and two digits natural numbers respectively,such that u and v must be distinct integers.How many pairs of P and Q are there in total which gives the same result when we multiply abc with uv as the product of cba with vu?
PLEASE DO EXPLAIN THE METHOD OF SOLVING

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For how many integral values of K would the quadratic equation 4kx2 – (k – 2)x + (k – 2) = 0 have real roots?

The sum of the infinite series 1 + 3x + 4x^2 + 10x^3 + 18x^4 + ... at x = 1/3 is



(a) 28/9 (b) 25/8 (c) 49/16 (d) none of the foregoing