Official Quant thread for CAT 2013

There are 12 towns grouped into four zones with three towns per zone. It is intended to connect the

towns with a telephone lines such that every two towns are connected with three direct lines if they

belong to the same zone, and with only one direct line otherwise. How many direct telephone lines

are required?

what will be the remainder of (3^101) / 77

Two perpendicular planes intersect a sphere in two circles. These circles intersect in two points, spaced 14 units apart, measured along the straight line connecting them. If the radii of the circles are 18 and 25 units, what is the radius of the sphere?

In the figure given below, P is a point on AB such that AP : PB = 4 : 3. PQ is

parallel to AC and QD is parallel to CP. In Ξ”ARC,

The length of QS is 6 cm. What is the ratio of AP : PD?


7 different objects must be divided among 3 people. In howmany ways can this be done if one or two of them can get no object ?


7 different objects must be divided among 3 people. In howmany ways can this be done if one or two of them can get no object ?


if there are 1,5,10 and 25 paise coins..how many different combinations would fetch 50ps?? options 44 45 49 52

solve the question attached

I want to know that how to be prepared for geometry????????????????????

i just want to know how to overcome with geometry??????????????????

In how many ways, 6 faces of a cube, can be painted with 6 diff colors?

H produce tomato pure by boiling tomato juice..the tomato pure has only 20%water while tomato juice has 90% water how many litres of tomato pure will be obtained from 20 liters of tomato juice???

when we perform a digit slide on a number we move its unit digit to the front of the number for example 647 is 764..let z be smallest positive integer with 5 as its units digit such that digit slide of a number equals 4 times the number..how many digits will z have??? a)3 b)4 C)6 d)7

what is the minimum number of weights required to weight all the integral weights (in kg) from 1kg to 120kg if the weights can be placed in either of the pans of a common balance?

a) 1 b) 2 c) 4 d) 5

Ten students have been shortlisted to form two teams of six students each, such that there are exactly three common between the two teams, In how many ways can the teams be formed.

@ronvinet

)Let n = 99999 β‚¬Εš β‚¬Εš.99 be an integer having 2009 9s.Find the sum of digits on n^2. 1)18072 2)18081 3)18090 4)18080 5)18073 -



help puys.....


though i got this 1 by some hit and trial like ...9*9 = 81 and 8+1 = 9
also...99*99=9801 and 9+8+0+1= 9*2 =18....


but it there is a standard procedure for these,,please let me know,,

in a poll 78% of those asked were in favour of atleast one of the three favourite sportspersons sania dhoni nd afridi..50% of those favoured sania 30% for dhoni 20% for afridi..5% favourd all 3 of them what percent of those asked favoured exactly one ???

using 3 colors, R,B,G, in how many diff ways can we paint the edges of a regular pentagon such that no two edges meeting at the common vertex are of same color?

how many 4 digit no formed using 1,2,3,4 without repetition such that 1 is not at ten's place, 2 is not at thousands place, 3 is not at 100's place & 4 is not at unit's place?


8,9,11,13.

Help pls ...
Series sum : 7/2*3 + 5/1*6 + 21/3*12 + 87/9*24 + 357/27*48..... infinity


1 )13/3
2 )11/3
3 )25/6
4 )23/6