A tank is fitted with two pipes X and Y which can together fill a tank in 20 minutes . X is opened for half the time taken by Y alone and then closed and then Y is opened for half the time taken by X alone to fill the tank . the tank is now FULL . FIND the time taken by Y ALONE to fill the tank. ππ
How many ordered pairs of positive integers (m,n) satisfy gcd(m^3,n^2)=2^2*3^2 and lcm(m^2,n^3)=2^4*3^4*5^6 ?
pls explain.
Puys can anyone explain me approach to solve a multi-variable system of equations
example [2ab + a + 2b = 89, 2ac + a + c = 10, 2bc + 2c + b = 45] type questions, saw similar question in brilliant.org could not solve, want to learn the approach
hello everyone, I am stuck in a problem where i have to find the square root of a really large no.
i want a method to do so, say for a no. like (square root of 180 x 96 x 120)..π ..suggeszt a methodπ
solve this one
ο»Ώn! has x number of zeroes at the end and (n+1)! has x+3 zeroes at the end . find number of possible values of n if n is a 3 digit number .
What is the largest factor of 11! that is one bigger than a multiple of 6 ?
There are 12 coins. One heavier or lighter. Figure out the odd coin and whether it's mightier or heavier based on 3 weighings ????
AMS employs 8 professors on their staff. Their respective probability of remaining in employment for 10 years are 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9. the probability that after 10 years at least 6 of them still work in AMS [from Arun Sharma, however the approach given is too tedious to solve. pls explain with some other approach)
a) 0.19
b) 1.22
c) 0.1
Ans aπ
x^2 + y^2 = 1.0, |x-y|=1.4, then |x+y| = ?
Let g(y) = py^2 + qy + r, p,q,r are constants, p!= 0 and 3g(8) = -4g(2). The roots of g(y) = 0 are 6 and m. find m and g(1)???
V is a positive integer. When V is divided by any of the numbers 2, 11, 13, 71 and 89 the remainder is 1. What is the remainder when V ^ 256 is divided by 16?
π
A box contains 90 balls of different colors: 13 yellow, 19 green, 27 red, 10 black, 7 brown and 14 white. Find the smallest number V such that any V balls drawn from the box will contain at least 14 balls of the same color.
πIf a Γ b Γ c = 455 and aaa Γ b Γ c = a0a0a , find the values of that b and c if it is given that they are co- prime to each other and 1
1) 3,11 2) 5,11 3) 5,13 4) 7,13π
Let 123abc231bca312cab be a 18 digit number in base 7. How many ordered pairs (a,b,c) exist such that the given 18 digit number is divisible by 4?
a ball is hanging from the ceiling with a rope. a man is standing just below the ball with the ball touching his head. the height of the person and the diameter of the ball is known. what ll be the overall height of the room.
Adding to the basics and facts, this page will provide you Questions and Puzzles on Number System....
Find the sum of all the positive integral values of n, such that "1001+(n*n) is a perfect square.
1)140
2)548
3)640
4)671
How many arrangements of one 1, two 2s, three 3s and four 4s will be a perfect square?
N is the sum of squares of three consecutive odd numbers such that all the digits of N are the same. If N is a four digit number, then find the value of N?
A.3333
B.5555
C.7777
D.9999