Official Quant thread for CAT 2013

@hexagon

9 : 1



2 : 1



4 : 3



5 : 4



C-> 4:3



What is the number of ways to get 16 as the sum while throwing a dice five times in a row?

A piece of paper in the shape of equilateral triangle has sides 15 units . When A is folded on to a point D on BC For which BD = 3, a crease is formed along the line joining a point on AB to a point on AC The length of the crease is _/n /2 . Find n.

O and O' are the center of the two circles with radii 7cm and 3cm resp.the distance between the centers is 20cm .If PQ be the transverse common tangent to the circles, which cuts OO' at X,what is the length of O'X in cm?


A)35/4 B)45/4 C)10 D)11

A boy was carrying a basket of eggs. He fell down and some of the eggs were broken. The boy has 10 eggs left with him. When asked by his mother how many eggs were broken, the boy could not recall. However he recalled that when he counted the total number of eggs 3 at a time 1 egg was left.When counted 4 at a time ,1 egg was left and when counted 5 at a time no egg was left. How many eggs were broken?

THE sum of an infinite Geometric series is 162 and the sum of its first n terms is 160 . The inverse of its comman ratio is an integer, then how many values of the comman ratio are possible ?

An examination consists of 4 papers .Each paper has a maximum of n marks . Find the no. of ways in which a student can get 2n marks in the exam ?

a ) 1/3 (n^2 - 5n + 4 )
b) 1/3 (n+1) (2n^2 +4n+3)
c)1/6 (n+1)(n+4)
d) none

David and John, Leave their homes on a random day. in the year of 2012, at a random hour(e.g. at 5:00 pm), in the day, and choose to either ascend or Descend from their respective homes on the 5th and 8th floor, of a 10 story building. What is probability that they would meet each other in the lift, on their birthdays(not on the same day)?

careful guys...isnt as easy as it seems, lots of cases involved , which are easy to miss out, when generalized...


find the number of common real rots between the equation 3x^3 -5x^2 +10x -1 =0 and x^3 +2x^2 +3x +1 =0

Q4:

QuantExpert - Q.O.D

@catahead

2/3 ???

XAT TYPE

A truck travelled from town a to b over several days. On the first day, the truck travelled 1/p of the total distance. where p is a natural number. on the second day the truck travelled 1/q of the remaining distance. where q is a natural no. during the third day, it travelled 1/p of the distance remaining after the second day. and during the 4th day it travelled 1/q of the distance remaining after the third day. by the end of the 4th day the truck has travelled 3/4 of the total distance. find he value of p+q

1.4

2.5

3.6

4.7

5.8 ?

K(N) denotes the number of ways in which N can be expressed as a difference of two perfect squares. Which of the following is Maximum?
1) K(110)
2) K(105)
3) K( 216)
4) K(384)

@audiq7

@vijay_chandola

24?

For prime numbers A and B both greater than 3, what is the highest integer which divides A ˛ - B ˛ completely?



kaise bhai ?

@priyank333333

An examination consists of 4 papers .Each paper has a maximum of n marks . Find the no. of ways in which a student can get 2n marks in the exam ?

a ) 1/3 (n^2 - 5n + 4 )



b) 1/3 (n+1) (2n^2 +4n+3)



c)1/6 (n+1)(n+4)



d) none



Ans will be b)

What is the 2013th digit of the sequence 149162536496481100121144169196...?

What is the 2013th digit of the sequence 1,2,4,8,16,23,28,38,49,62..., where each term is the the previous term added to its digit sum? (eg for 16 the next term will be 16+1+6=23, 23+2+3=28, etcetc) (These probs are self-created)

@hexagon

let x ,y ,z be natural nos such that x>y>z>=2 and xyz=2002 Let A and B be the max and min values repectively of x+y+z find A-B

120



114

114

@bullseyes

for finding this.. remember the concept of placement of factors..



for 26.. all u need to find is the 5th factor. which is 5.. hence 720/5 = 144



same wd 18.



Sir can you please explain in detail .. what is placement of factors ?

A four-digit number which is a perfect square is created by writing Ruchi's age in years followed by Nidhi's age in years. Similarly, in 31 years, their ages in the same order will again form a four-digit perfect square. How old are Ruchi and Nidhi today?


plz post with approach..help!!

lookround