There are 20 people sitting in a line. In how many ways can we find pick 4 people such that no 2 are sitting in consecutive seats? Please give the approach
Amitabh picks a random integer between 1 and 999, doubles it and gives the result to shashi, Each time Sashi receives the number from Amitabh he adds 50 to the number and gives the result to Amitabh, who doubles the number again, the first person whose result is more than 1000 loses the game, let x be the smallest integer that results in a win for Amitabh, the sum of digits of x is ?
a)3 b) 5 c) 7 d) 9
approach?
Let n! = 1 x 2 x 3 x ... x n for integer . If p = 1! + (2 x 2!) + (3 x 3!) + ... + (10 x 10!), then p + 2 when divided by 11!, Leaves a remainder of
10,0,7,1 ?
In how many ways can 3
In how many ways can 360 be written as product of 3 positive numbers.
Find the value of 1 + 4/6 + 9/36 + 16/216 + 25/1296 +...
Please post method along with the solution.
TIA.
do we have formula for the no of ways a number can be written as sum of two or more consecutive positive integers??
Three numbers are chosen at random without replacement from (1....10).the probability that the minimum number is 3 or the maximum number is 7 is.
The LCM of a quadratic equation and a cubic polynomial is x4 + 4x3 - x2 - 16x - 12 and their GCD is x + 1. Which of the following cannot be the quadratic equation ?
- x2+3x+2
- x2-x-2
- x2+4x+3
- x2-2x-3
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any stuff on vedic maths specifically for cat?TIA
Find the value
1/(1+1^2 + 1^4) + 2/(1+2^2 + 2^4) + 3/(1 + 3^2 + 3^4) + ... + 10/(1 + 10^2 + 10^4)
Please post method along with solution.
TIA.
What is the method to solve such qns ?
If the LCM of 2 nos, is 300, how many such pair of nos. can exist?
The product of two numbers '231' and 'ABA' is 'BA4AA' in a certain base system (where base is less than 10), where A and B are distinct digits. What is the base of that system?
5,6,7,8,4
APPROACH?
Find the number of ways in which the letters of the word INCLUDE can be permuted so that no two vowels appear together.
Q. 7.
Consider two different cloth-cutting processes. In the first one, n circular cloth pieces are cut from a square cloth piece of side a in the following steps: the original square of side a is divided into n smaller squares, not necessarily of the same size, then a circle of maximum possible area is cut from each of the smaller squares. In the second process, only one circle of maximum possible area is cut from the square of side a and the process ends there. The cloth pieces remaining after cutting the circles are scrapped in both the processes. The ratio of the total area of scrap cloth generated in the former to that in the latter is
1:1, root2:1,n(4-pie)/4n-pie,
4n-pie/
n(4-pie)
If a, b, c are positive real numbers such that a2 + b2 + c2 = 48, then the maximum value of a+b+c is (1) 9 (2) 16 (3) 12 (4) 24
Approach please
(8^643)/132
can the remainder of the above expression be found through Chinese rem theorem?......i tried but not getting the ans/....
help needed guys....
Find the number of non negative integral solutions of a+b+c= 13 such that a, b, c are distinct.
a) 76 b) 84 c) 110 d) 92
In how many ways can a team of 4 men and 4 women can be formed out of 8 men and 8 women such that one particular man is always included in the team and one particular woman is never included in the team?
- 1225
- None of the above
- 4500
- 2450
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