Official Quant thread for CAT 2013

Nishit Sinha : Permutations & Combinations


If I get enough likes, I'll keep uploading other chapters from book.

Define a number K such that it is the sum of the squares of the first M natural numbers(i.e. K= 1^2+2^2+3^2+...+M^2) WHERE m

if there are 2n boys and 2n girls is a class. what is the probability of dividing them into two groups, such that each of the group contains equal number of boys and girls within itself?

eg, group 1 : n,n group : n,n
gruop 2 : n+1,n+1 group n-1,n-1 group and so on

whts d reminder of..48^46 mod 49^2..

pls xpln mthd also..

HI.. Could any of you suggest me a comprehensive study material for TSD and TW? I am finding it difficult to comprehend most of the sums in the same units.

Thanks in advance.

whts d method 4 finding reminder of..48^43 mod 43.

n 48^45 mod 35


how many words are there in RAINBOW in which A is always before I and I comes before O??


Time, Space & Distance : Nishit Sinha


If I get enough likes, I'll keep uploading other chapters from book.


Advanced Geometry Questions : Nishit Sinha


If I get enough likes, I'll keep uploading other chapters from the book.


x+y+z+w=20,find the number of positive integral solutions such that x>y?

a)444
b)356
c)402
d)360
please give explanation as well

Sir how to solve the question of these types -- > x1+x2+x3+x4 = 20? Find number of all positive integral solutions such that (a) x1>x2 (b) x1>x2>x3 ?

I know that first step is s-1Cr-1 = 19C3 = 969. Now how to proceed. ?
Thnx


I have problem regarding NMAT form. I have sent the registration money. but i m nt getting the option of selecting schedule and time for d exam...plzz do reply..

Twisted the question a bit

x+y+z+w=20,find the number of non negative unequal integral solutions?

this time i don't have options

How many natural numbers less than 100 when squared and then divided by 24 leave a remainder of 1

How many four-digit perfect squares 'abcd' are possible such that 'dcba' is also a four-digit perfect square and is also a factor of 'abcd'? (given a is not equal to d)

Find the 100th term of the series:

1,7,19,43...


Post approach also.
OA - 6 x 2^99 -5

How many four-digit perfect squares 'abcd' are possible such that 'dcba' is also a four-digit perfect square and is also a factor of 'abcd'? (given a is not equal to d)

if ABCD is a cyclic quadrilateral AB=AD=6CM..BC=CD=7CM..find the area of circle that circumscribes it???

😠😠

ratio of earnings of a,b,c are 2:3:5..if a increases by certain amount..b double by that amount and c triple by that amount which of the following could be the ratio of a and c after increase??
...7:17.. 9:22... 13:40... 16:45

How many ordered pairs (a, b) exist such that LCM of a and b is 2^3.5^7.11^13 (a, b Î N)?