Official Quant thread for CAT 2013

Question
(1 - 2x - 3x^2 )/ (3x - x^2 - 5) > 0

1. x 1/3 (OA)

2. x
3. -1
4. x5.None of These

I am not asking for this particular question, I am asking a general approach to solve these type of questions.... Also When i mix it with MOD, Then how will i solve e.g.

|x^2 - 5x + 4| / |x^2 - 4|
@scrabbler @Dazed-Confused @Dexian @ScareCrow28

If a, b, c, d are the integers ; a

if x,y,z are real numbers such that x+y+z=5 and xy+yz+zx=3 then the largest value tht 'x' can have is?????????😲

Two persons X and Y start together from the starting point and run on a 4km circular track in a race of 16km.the ratio of their speeds is 3:7.

How often do they both meet in d track?
i. if dey run in clockwise direction.
ii. if dey run in anticlockwise direction.

using the digits 9,8,7,6,5 exactly once...two numbers N1 and N2 are formed such dat there product is maximum....find the sum of number N1 and N2

If,x2 – yz­ = 3y2 – zx­ = 4z2 – xy = 5Then which of the following is possible value of x + y + z?


1. 0

2.1/2

3. 1

4.-1


pls explain dis ques...

Two clocks show d same time at 4 pm.The first clock loses 10 min every 2 hr and the second gains 10 mins every hour.When will they both show the same time again?

hello everyone,


Can anybody suggest me how to start the preparation for CAT 2013 at this point of time?

I appeared for CAT in 2009...scored 75 percentile...presently m working.

Thanks,
Sneha


In triangle ABC, D is a point on BC such that BD = DC. BE is an altitude drawn on AC. If ∠ADB = 45° and ∠ACB = 30°, what is the measure of ∠ABE?

where i can get last years solved CAT papers?

remainder of 2^96 mod 96?????

by fermat little theorem it should be 2.... but the ans is 64.... explain.... @Dazed-Confused @AshuIIMA



Q5






if price of diesel is x and price costs 60% of its price higher then diesel. than wt z d price of petrol..????

plz post the approach
@JanardanJakad @DieHard12 @Dazed-Confused @rai20 @ralins @Aizen @psk.becks @Papasappies

Pipe A can fill a tank in 30 mins and Pipe B can fill it in 28 mins.If 3/4th of the tank is filled by Pipe B alone and both are opened, how much time is required by both the pipes to fill the tank completely?


Two trains move in the same direction at 50 kmph and 32 kmph respectively. A man in the slower train observes the 15 seconds elapse before the faster train completely passes by him. What is the length of faster train?

How many different terms does the product (a + b + c+ d + e + f)(c + d + e + f + g) have?


a - 11

b - 30

c - 25

d - 24

e - 29

In a basket there are 7 apples and 6 bananas. At least how many fruits should be taken out from the basket blindfolded so that there are at least 3 apples or 4 bananas outside the basket?

Find the sum of coefficients of all the powers of x in [(4*x-(1/x))^20].


(1)2^20

(2)0

(3)4^20

(4)3^20

(5)630

Two dice are rolled simultaneously.Find the probability that one of them shows a no. which is atleast 4 and the other shows a no which is at most 3.(Ans is 1/2)


Pls explain in detail