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## Positive integer value of x, y and z

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## The sunrise problem

Two women start walking at the sunrise, one from point A to B and another from point B to A. The pass each other exactly at noon. The first...
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## Solve

Solve Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Simplify

Simplify: 4(x-3)-x(a-2)-3 Rate the problemHelpful (2)Spam (0)Hard (0)Wow (0)
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## Find highest share?

If 500 is shared in the ratio 2：3：5, what will be the highest share? Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Number of Trailing Zeros !

$\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!)!]$
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## Distance Between Two Places & Time Taken !

Manish and Rajni start from a place M at the same time to reach another place R. Manish travels at a constant speed of 21 kmph, while Rajni starts with...
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## How Many Numbers Divisible ?!

How many integers from 100 to 10000, inclusive, are exactly divisible by 6 or 11 or 14 or 15 but neither divisible by 30 nor by 42 ? Rate the problemHard (2)Spam (0)Helpful (0)Wow (0)
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## Simultaneous eqn – iii

Solve the following simultaneous equations Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## How many coins can cover the entire table?

A rectangular table has 100 coins placed on it (centers must be on the table) such that none of the coins overlap, and it is impossible to place any...
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## Calculate the amount paid in each installments

An Electrical shop sells a video recorder for \$3200 cash price. The purchase deal is offered to a customer at an extra 20% cost. The customer pays a deposit...
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## Simultaneous eqn – ii

3x + 4y -2z = 5 x – 3y – 3z = 4 2x – y – 4z = -8 Find x, y and z Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Distance Time

A cargo plane flew from the Clark across the Pacific at 255 kph and flew back to the Clark at 275 kph. Given that the first trip took 2...
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## Largest possible sum

In the year 2001, the International Mathematics Olympiad was held in the USA. Let be distinct positive integers such that the product I * M * O =...
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## Base conversion

If (11011)2 = (____________)10, then the number in the blank space is: a. 33 b. 22 c. 27 d. 30 Rate the problemHelpful (1)Spam (0)Hard (0)Wow (0)
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## Factorize

Factorize completely Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## square-cube root

Find the value of x and y, solving the given root equation Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Cuberoot

Solve the following Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Dividing multivariate polynomials

Perform the following division Rate the problemHard (1)Spam (0)Helpful (0)Wow (0)
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## solve for x

(x+10)(x-3) = (-x-10)(6x+7) Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## write equation for polynomial

Write an equation for a polynomial that has the solution set {-1 , 3, 4} Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Speed, distance and time

A bicycle wheel has a diameter of 63cm. Calculate how many times the wheel turns round in traveling km. Use the value 22/7, for π Rate the...
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## Arithmetic Progression

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## Solve the inequality quadratic eqn

Solve the inequality quadratic equation Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Find the Last digit

What is the last digit of  Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Find a x b x c x d

If a, b, c and d are unique digits and aaaa + bbb + cc + d = 1995, find the value of a * b * c *...
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## Prove that 12b^2 = 49ac

Given: ax^2 + bx + c = 0 The proportion of the roots of the equation is 3:4. Prove that 12b^2 = 49ac Rate the problemHelpful (2)Spam (0)Hard (0)Wow (0)
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## Solve the following

Solve the following Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Find X

Find x Rate the problemHelpful (1)Spam (0)Hard (0)Wow (0)
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## Average of a and b

Find the average of a and b Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Inequality- Find least value of Y

If 7+y = |8|, find the least value of y, such that 10<= y <= 30. Rate the problemHelpful (1)Spam (0)Hard (0)Wow (0)
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## Money double problem

A sum of money triples itself in 20 years. When will it double? Options are: a) 5 years b) 15 years c) 10 years d) 8 years Rate the...
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## Line equation

If line y= -3x+K is tangent to the circle x^2 +y^2 = 10, find all the possible values of K Rate the problemHard (1)Spam (0)Helpful (0)Wow (0)
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## Logarithm

Prove that: log base 16 (XY) = 1/2 log base 4 (X) + 1/2 log base 4 (Y) Include the logarithmic rules used to prove the statement. Rate...
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## Solve for X

Solve for the value of X Rate the problemSpam (1)Hard (0)Helpful (0)Wow (0)
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## Arithmetic Progression: Find x and y

If 3, x, y and18 are arithmetic progression (), find x and y. Rate the problemSpam (0)Hard (0)Helpful (0)Wow (0)
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## Word problem

A garrison of 120 men is provisioned for 24 weeks at 350 gm per day per man. How many men must leave so that the same provision may last...
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