How Well Do You Know Logs

October 30, 2014

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Find the value of the  9log34 without using log tables or log values? Things to Remember: Logarithm Rules: Multiplication Rule: Logb mn = Logb m + Logb n Division Rule:Logb (m/n) = Logb m – Logb n Exponent Rule:Logb mn = n Logb m Log to the Same Base Rule: Logb b = 1 Click […]

Posted in: Log Rules, Logarithms

Geometry Problem – Find the Area of the Square

October 29, 2014

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In the given figure ABCD is a square. A circle is drawn in such a way that it passes from point B and touches AD and CD at E and F respectively. A line OB is drawn perpendicular to EF. Given that OB = 6 cm, find the area of the square. Assume that center […]

Advanced Trigonometric Equations

October 15, 2014

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If Sin8ϴ + Cos8ϴ = 17/32 for 0≤ ϴ<π. Find the sum of all possible values of ϴ?   Click for solutions to Advanced Trigonometric Equations

Probability Problems

October 5, 2014

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1. What is the probability that in a given non leap year there will be 53 Sundays? 2. What is the probability that in a leap year there will be 53 Sundays? Click for Solution to Probability Problems

Posted in: probability

Coordinate Geometry – Distance Between Parallel Line

October 4, 2014

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Solve the following: Two sides of a square lie on the straight lines   “2x+3y +7 =0″  and “2x+3y+11 = 0″.  If the area of the square can be written as “a/b” where a and b are positive co-prime integers, find the value of a+b? Things to Remember:  Distance Between Parallel Lines: b1 = Y […]

Cubes – Mind Bender

October 2, 2014

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How many cubes of size 2 must be added to a cube of size 8 to make it a size 12 cube? Click for Cube Solution

Posted in: Cube, Geometry, Volume

Find the Sum of the following Sequence of Numbers

September 24, 2014

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Find the sum of the following sequence: 1.           13+23+33+43+  ————- + n3 2.     (1 x 2) +(2 x 3)+(3 x 4)+———-+[n x (n+1)] Click for Solution to Sum of Cubes – Example 1 Click for solution to Sum of Series – Example 2 Click for Sum of Squares

Posted in: Sequence of Numbers
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