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## Probability of Positive Integers being Coprime !

What is the probability that six randomly chosen positive integers are relatively prime ?...

Source

Source

Source

2x(x-6)-5(x+3)

7:8 and 8:9

Solve

## Number Puzzle

Solve the puzzle with explaination

## Find highest share?

If 500 is shared in the ratio 2：3：5, what will be the highest share?
$\bg_white \\*\emph{\text{What is the smallest positive integer }} n \emph{\text{ such that }} n!! \emph{\text{ is exactly divisible by }} 10^{2019}\ ?\\*(\emph{\text{In other words, What is the smallest positive integer}}\ n \emph{\text{such that }}n!! \emph{\text{ ends in at least }} 2019 \emph{\text{ zeros}}\ ?)\\*\\*^+\[n!!\emph{\text{ denotes the double factorial or semi-factorial of a number n, defined as:}}\\*n!!=n(n-2)(n-4)...(n-2.\lceil n/2\rceil+2 )=\prod_{k=0}^{\lceil \frac{n}{2} \rceil-1}(n-2k)\\*\emph{\text{It should not be confused with the factorial function iterated twice i.e. }} n!! \neq(n!)!]$

## Smallest Positive Integer !

$\bg_white \large \\*\emph{\text{What is the maximum value of positive integer }} n \emph{\text{ such that }} 4798!!\emph{\text{ is exactly divisible by }}10^n\ ?\\*(\emph{\text{In other words, how many trailing zeros are there in }}4798!!\ ?)\\*\\*^+\[n!!\emph{\text{ denotes the double factorial or semi-factorial of a number n, defined as:}}\\*n!!=n(n-2)(n-4)...(n-2.\lceil n/2\rceil+2 )=\prod_{k=0}^{\lceil \frac{n}{2} \rceil-1}(n-2k)\\*\emph{\text{It should not be confused with the factorial function iterated twice i.e. }} n!! \neq(n!)!]$

## How Many Numbers Divisible ?!

How many integers from 100 to 10000, inclusive, are exactly divisible by 6 or 11 or...

## How many coins can cover the entire table?

A rectangular table has 100 coins placed on it (centers must be on the...

## Calculate the amount paid in each installments

An Electrical shop sells a video recorder for \$3200 cash price. The purchase deal...

## Line equation

If line y= -3x+K is tangent to the circle x^2 +y^2 = 10, find...

## SCIENCE

Protective sols are – a) lyophilic b) lyophobic c) both a and b d...

## MATRIX

A) 2O B) -2O C) None

what is trigo

## TIME

Swati does jogging for 30 minutes and do household activities for 2 hours in...

## Geometry

If the vertices of a triangle are ( -1,6,-4)  , ( 2, 10 ,...

## RMS value

The rms value of wave in figure is : A. about 95 V B....

## combinations

Oranges can be packed in sets of 10 oranges in box type A or...
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