GRE Quantitative Basics from Kaplan Flashcards

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1
Q

Consecutive Numbers

A

Numbers of a certain type, following one another without interruption. Numbers may be consecutive in ascending or descending order.

  • 4, -2, 0, 2, 4 is a series of consecutive even numbers.
  • 3, 0, 3, 6, 9 is a series of consecutive multiples of 3.

2, 3, 5, 7, 11 is a series of consecutive prime numbers.

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2
Q

Cube

A

A number raised to the 3rd power.

4^3 = 4x4x4 = 64, showing that 64 is the cube of 4.

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3
Q

Distinct

A

Different from each other. The number 321,321,000 has nine digits, but only four distinct digits: 3,2, 1 and 0.

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4
Q

Exponent

A

The number that denotes the power to which another number or variable is raised. The exponent is also referred to as a power (“5 to the third power”).

5^3 = 5x5x5

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5
Q

Fraction

A

Brøk: 1/2

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6
Q

Integer

A

A whole number without fractional or decimal parts. Integers can be positive or negative numbers and include zero. All integers are multiples of 1.

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

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7
Q

Integers are all multiples of…

A

1.

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8
Q

Product

A

Result of a multiplication

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9
Q

Is zero an integer?

A

Yes.

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10
Q

Sequence

A

Lists that have an infinite number of terms, that are in order.

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11
Q

How would you identify the third number in a sequence?

A

a3

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12
Q

What is a set?

A

A set is a well defined collection of numbers (objects or events). Bracket symbols are usually used to define sets of numbers.

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13
Q

Square

A

The product of a number multiplied by itself. A square number has been raised to the second power. 4^2 = 4x4=16.

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14
Q

PEMDAS

A
  1. Parenthesis
  2. Exponents
  3. Multiplication
  4. Division
  5. Addition
  6. Subtraction

Please Excuse My Dear Aunt Sally

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15
Q

Addition and multiplication are both commutative, which means…

A

Switching the order of any two numbers being or multiplied together does not affect the result.

5+8=8+5
(2)(3)(6)=(6)(3)(2)

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16
Q

Division and subtraction are not commutative, which means…

A

Switching the order of the numbers changes the results.

3-2 is not the same as 2-3
6/3 is not the same as 3/6

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17
Q

An integer is divisible by 2 if…

A

its last digit is divisible by 2

Ex. 6,930 is divisible by 2 since 0 is even

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18
Q

An integer is divisible by 3 if…

A

its total digits add up to a multiple of 3

Ex. 6,930 = 6+9+3+0= 18, 18/3 = 6 and is thus divisible by 3

19
Q

An integer is divisible by 4 if…

A

its last 2 digits are a multiple of 4.

Ex. 6,932 is a divisible by 4 as 32/4 = 8

20
Q

An integer is divisible by 5 if…

A

its last digit is 0 or 5.

Ex. 6,930 is divisible by 5 as it ends in 0.

21
Q

An integer is divisible by 6 if…

A

it is divisible by both 2 AND 3

22
Q

An integer is divisible by 9 if…

A

Its digits add up to a multiple of 9

Ex. 6,930 = 9+6+3+0 =18 so it is divisible by 9 as 18/9=2.

23
Q

Odd + Odd =

A

Even

24
Q

Even + Even =

A

Even

25
Q

Odd + Even =

A

Odd

26
Q

Odd x Odd =

A

Odd

27
Q

Even x Even

A

Even

28
Q

Odd x Even

A

Even

29
Q

What are EVEN numbers?

A

Integers that are evenly divisible by 2

0, 2, 4, 6, 8,

30
Q

What are ODD numbers?

A

Integers that are not evenly divisible by 2.

1, 3, 5 7, 9

31
Q

Is zero considered an even number?

A

Yes

32
Q

Define the factors of an integer

A

The factors of an integer are the positive integers by which it is evenly divisible.

Ex. factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36.

33
Q

What is a prime number?

A

An integer, greater than 1, that is only divisible by itself and 1.

34
Q

What are the first 10 prime numbers?

A

2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

35
Q

The relationship between speed, distance and time:

Speed =

A

Speed = Distance/Time

36
Q

The relationship between speed, distance and time:

Distance =

A

Distance = (Speed) (time)

37
Q

The relationship between speed, distance and time:

Time =

A

Time =Distance/Speed

38
Q

Combined work formula for 2 people/machines

A

T =ab/a + b

39
Q

Combined work formula for 3 people/machines

A

T =abc / ab + bc + ac

40
Q

Define Compound Interest

A

The money earned as interest is reinvested. The principal thus grows for every interest payment received.

41
Q

Define Simple Interest

A

In simple interest, the interest payments received are kept separate from the principal.

42
Q

Formula for % increase

A

Increase x (100%) / Original Number

43
Q

Formula for % decrease

A

Decrease x (100%) / Original Number