How many 10 digit numbers can be made using digits 1 and 2 ??
A question from my side.
If no 3 diagonals of a convex decagon meet at the same point inside the decagon. Into how many line segments are the diagonals divided by their intersections?
Two
lumps of a mixture of gold, silver and copper together weigh 20 kg. One lump
contains 75% gold and 31.25 g silver per kilogram. Another lump contains 85%
gold and 30 g silver per kilogram. The total quantity of silver in two lumps is
617.5 gm. If two lumps are melted to form one, the percentage of gold in it
will be:
A, B, C and D start running from the same point simultaneously at 4 m/sec, 20 m/sec, 20 m/sec and 12 m/sec. While A, C and D run in clockwise direction, B runs in the anti-clockwise direction. At how many points on the circle, relative to the starting point, do they meet?
In how many can 145^2 be written as a sum of the squares of two natural numbers?
find the no. of non negative integral solution of :
a+b+c+d=44.
please explain the process...
what is the largest integer m that can only be expressed as the sum of two squares in
one way?
A positive integer has a remainder of 2 when divided by 6, and has a remainder of 3 when divided by 7. Find the sum of all such numbers between 1 and 1000.
Let P be a regular 2006-gon. A diagonal of P is called good if its endpoints divide the boundary of P into two parts, each composed of an odd number of sides of P. The sides of P are also called good. Suppose P has been dissected into triangles by 2003 diagonals, no two of which have a common point in the interior of P. Find the maximum number of isosceles triangles having two good sides that could appear in such a configuration .
sum of 3 digit numbers using 3450 . repetition allowed/not allowed
need 1 liner formula.
which is greater ?
inf ^2 or 2^inf
How many 4 letter words can be formed using the letters of the word " ARTICLE " containing A in each of them ?
Does anybody have the cat 1999/1998 question paper? Restarting the prep after 2 months. need to check my level right now
If there are 10 task to be assigned to 10 persons such that task 1 can be assigned to either person number 1,2 or 3. and task 4 cannot be assigned to 3,4 and 5.Number of ways to assign the task such that each person gets exactly one task?
What is the remainder when 41! Is divided by 10^11 ?
in how many ways can two rooks - one white and one black - be arrange on a chess board in such a way that neither of them is in a position to kill the other ?
find the remainder when x^10 is divided by x^2 - 3x + 2
i have some dvds of films (all distinct) - 5 in english, 4 in hindi and 3 in foreign - languages. i want to distribute all my dvds amongst 5 children in such a way that at least two children receive some hindi film. in how many ways can i do this?
(x-2)^(x^2-9)^(x^2-4)=1
sum of all roots of x?
How many 3 digit numbers with distinct digits can be formed such that the product of the digits is cube of positive integer ??
Ans is 21. Anyone ?