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PET: quantitative formulas and verbal vocabulary

Flashcards for the Psychometric Entrance Test: formulas for quantitative reasoning, logic rules and vocabulary for the verbal and English sections.

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Percent change
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1
Percent change
(new - old) / old x 100
2
Successive percentage changes
Multiply the factors, for example +20% then -10% gives x 1.2 x 0.9
3
Average speed for equal distances at speeds v1 and v2
2 v1 v2 / (v1 + v2)
4
Combined work rate of two workers taking a and b hours
a b / (a + b) hours
5
Pythagorean theorem
a^2 + b^2 = c^2
6
Area of a circle
pi r^2
7
Circumference of a circle
2 pi r
8
Area of a triangle
(1/2) base x height
9
Volume of a cylinder
pi r^2 h
10
Sum of interior angles of a polygon with n sides
(n - 2) x 180 degrees
11
Arithmetic sequence sum
n (a_1 + a_n) / 2
12
Compound growth
A = P (1 + r)^t
13
Probability of independent events A and B
P(A) x P(B)
14
Permutations of k items from n
n! / (n - k)!
15
Combinations of k items from n
n! / (k! (n - k)!)
16
Median
The middle value of the ordered data
17
Ratio sharing
Divide the total by the sum of the parts, then multiply by each part
18
Unit conversion km/h to m/s
Divide by 3.6
19
Synonym of "diligent"
Hardworking
20
Synonym of "candid"
Frank
21
Synonym of "ephemeral"
Short-lived
22
Synonym of "lenient"
Merciful
23
Synonym of "meager"
Insufficient
24
Synonym of "inevitable"
Unavoidable
25
Antonym of "scarce"
Abundant
26
Antonym of "benevolent"
Malicious
27
Meaning of "scrutinize"
To examine closely
28
Meaning of "mundane"
Ordinary, everyday
29
Meaning of "reluctant"
Unwilling, hesitant
30
Meaning of "alleviate"
To make less severe
31
Meaning of "impartial"
Treating all sides equally
32
Meaning of "meticulous"
Showing great attention to detail
33
Meaning of "ambiguous"
Open to more than one interpretation
34
"Unless" means
If not
35
"Hardly ... when" pattern
Hardly had she sat down when the phone rang
36
"Despite" is followed by
A noun or -ing form, never "of"
37
"The number of" takes
A singular verb
38
"A number of" takes
A plural verb
39
Contrapositive of "If P then Q"
If not Q then not P
40
Transitivity in ordering
If A > B and B > C then A > C

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