Some Useful GRE
Quantitative Section Tips
1. If 0<x<1, square root of x is
greater than x.2. If 0<x<1, then (1/x )> x.
3. If 0<x<1, then square of x is less than x.
Percentages
To Compute % Increase, divide the absolute increase by the original amount.
% Increase from a to b = (actual increase/original amount) = (b-a)/a
% Decrease from x to y = (actual decrease/original amount) =(x-y)/x
If x<y, then percentage increase from x to y is greater than % decrease from y to x.
If a number is increased by x% , multiply it by (1+(x/100))
If a number is decreased by y% , multiply it by (1-(y/100))
Increase of x% followed by increase of y% is larger than a single increase of (x+y)%.
Decrease of x% followed by decrease of y% is smaller than a single decrease of (x+y)%.
Increase/Decrease of x% followed by another
increase/decrease of x% is not equal to a single
increase/decrease of 2x%.
Ratios
If one quantity increases (decreases) and another quantity also increases (decreases), set ratios equal as they are directly proportional.
If one quantity increases (decreases) and
another quantity also decreases(increases), set products equal as
they are inversely proportional.
Inequalities
Multiplying or dividing both sides of an
inequality by a negative number reverses the
inequality.
for e.g
If x > y and m < 0
then mx < my
Some Important Measurements
1 pound = 16 ounces
1 gallon = 4 quarts
1 yard = 3 feet
1 inch = 2.54 cm
1 feet = 12 inches
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