Top Quantitative Rules

Question 1

Pythagorean Theorem

Answer 1

a^2 + b^2 = c^2

Question 2

Pythagorean Triples

Answer 2

3-4-5, 5-12-13, 8-15-17

Remember their multiples

Question 3

Area of a Triangle

Answer 3

1/2(b)(h)

Question 4

Area of a Triangle: Isoceles

Answer 4

Base is equal to height

Question 5

Average

Answer 5

= sum of the items / number of items
or
sum of items = average * number of items

Question 6

Example of average/sum use

Answer 6

2 groups with different averages, find average of the two groups.
Group has average, another group is added and average becomes X. What was average of added group?

Question 7

Rate Equations

Answer 7

amount = rate x time
or
distance = speed x time

Question 8

Watchout for rate equations

Answer 8

Two amounts/distances will never have answer that is the mean of the two distances.

Only add the rates, nothing else

Question 9

Example of rate use

Answer 9

Two groups completing one task, driving distance at two different rates, etc.

Question 10

Permutation

Answer 10

ex: 5! = 54321 = 120

Question 11

Combination

Answer 11

ex: how many combos of 3 can be taken from a set of 20?
Ans: (20!)/(3!) * (20! - 3!)

Question 12

Combination Shortcut

Answer 12

ex: 20! = 20191817! (allows to simplify):
ex: how many combos of 3 can be taken from a set of 20?
Ans: (20!)/(3!) * (20! - 3!)
Simplified: 20191817! / (3! * 17!)
=201918/3!
=201918/321