Question
How many triangles can be formed by joining the vertices
of an hexagon?Solution
To find how many triangles can be formed from a hexagon's vertices:  A hexagon has 6 vertices.  A triangle needs 3 vertices.  The number of ways to choose 3 vertices out of 6 is given by combinations: [C(6, 3) = {6!}/{3! x 3!} = 20 Hence, 20 triangles can be formed.
25% of a number exceeds 1/6th of the same number by 7. What is the number?
A student had to find 5/12 of a certain number, but he mistakenly calculated 3/4 of that number. His answer turned out 90 more than the correct value. ...
Find the unit digit of the expression: 1! + 2! + 3! + 4! + 5! + ........ + 2027!.
325 mangoes are distributed among some boys and girls who are 60 in numbers. Each boys gets five mangoes and each girls gets six. The number of boys is :
Find the unit digit of the expression: 3! + 4! + 5! + 6! + ........ + 1111!.
Find the difference between minimum and maximum value of 'c' such that '5c4632' is always divisible by 3.
- A number 'x' is first multiplied by 11, and the result is subtracted from its square. After adding 24 to the resulting value, the final outcome is zero. Gi...
- If the 4-digit number a34b is exactly divisible by 9, what is the least value of (a + b)?
- Determine the value of 'n' if '87n9812' is always divisible by 9.
Twin prime numbers are the prime numbers whose difference is always equal to 2. The number of twin primes between 35 and 100 is:
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