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GMAT > Quant > Flashcards

Quant Flashcards

1
Q

Even +/- Event = ?

A

Even

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2
Q

Odd +/- Odd = ?

A

Even

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3
Q

Even +/- Odd = ?

A

Odd

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4
Q

3! = ?

A

6

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5
Q

4! = ?

A

24

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6
Q

5! = ?

A

120

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7
Q

6! = ?

A

720

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8
Q

2^6 = ?

A

64

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9
Q

2^7 = ?

A

128

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10
Q

2^8 = ?

A

256

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11
Q

2^9 = ?

A

512

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12
Q

2^10 = ?

A

1024

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13
Q

14^2 = ?

A

196

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14
Q

15^2 = ?

A

225

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15
Q

4^4 = ?

A

256

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16
Q

4^5 = ?

A

1024

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17
Q

sqrt(2) = ?

A

1.4 Valentines 2/14

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18
Q

sqrt(3) = ?

A

1.7 St. Patrick 3/17

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19
Q

is 1 a prime number?

A

no

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20
Q

if x+y is even, then what do we know about x and y?

A

They’re both odd or both even

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21
Q

if x+y is odd, then what do we know about x and y?

A

One odd, one even

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22
Q

if x*y = even, then what do we know about x and y?

A

one or both of them is even

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23
Q

if x*y = odd, then what do we know about x and y?

A

both odd

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24
Q

Any n consecutive number includes at least one _______ of n

A

multiple

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25
Q

[DS question] is positive integer n-1 a multiple of 3? 1. n^3 - n is a multiple of 3 2. n^3 + 2n^2 + n is a multiple of 3

A

B.

26
Q

Quadratic Formula

A

if ax2 + bx + c = 0

then

27
Q

What does the mnemonic “Fewer Fators, More Multiples” mean?

A

Factors are the smaller side

Multiples are the larger (infinite) side

28
Q

If N is a divisor of x & of y,

then is N a divisor of x + y?

A

Yes!

35 + 21 = 56

5*7 + 3*7 = 8*7

29
Q

List the first 10 prime numbers

A

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

30
Q

What is the factor foundation rule?

A

if a is a factor of b, and b is a factor of c,

then a is a factor of c

31
Q

The Prime Box

Given that int. n is divisible by 8 & 15, is n divisible by 12?

A

n

______|

2, 2, 2 | Yes

3, 5 | 12 = 2*2*3

…? |

_______

32
Q

Unless 2 is involved, the sum of any two prime numbers is always even/odd?

A

Even

33
Q

Principle of Combinatronics

OR means?

A

Add.

34
Q

Principle of Combinatronics

AND means?

A

Multiply.

35
Q

When to choose Smart Number?

A

When a problem contains only unspecified values.

Works for % problem too.

36
Q

Average = ?

A

Sum / # of Terms

S/N

37
Q

Formula for Counting Multiples

A

(Last - First)/Increment + 1

38
Q

Define the properties of EVENLY spaced sets

A
  1. arithmetic mean = median
  2. mean = median = (first + last)/2
39
Q

Formula for SUM of consecutive integers

A

sum = average * # of terms

40
Q

Average of odd number of conservutive integers will always be __________?

A

an integer

41
Q

Average of even number of conservutive integers will __________

A

Never be an integer

42
Q

is it possible to determine the MEDIAN of a set containing unknown values?

A

Depends!

Yes | x, 2, 5, 11, 11, 12, 21

No | x, 2, 5, 11, 12, 12, 33

43
Q

When to work backwards?

2 conditions

A
  1. When answer choices are “nice” numbers
  2. When question ask for a nice discree number
44
Q

Rate x Time = what?

A

Distance

Work

45
Q

What are the 3 possible scenarios of relative rate?

A
  1. bodies move towards each other
  2. bodies move away from each other
  3. bodies move in the same direciton on the same path
46
Q

If an obj moves the same dist. twice, but at diff rate, then the average rate…

A

will NEVER by the “avg” of the two rates

actual average will lean closer to the slwoer rate as object spends more time on the slower rate.

47
Q

Average Speed = ?

A

Total Distance/Total Time

48
Q

Working together –> ____ the rate

Against each other –> ____ the rate

A

add

subtract

49
Q

Figures on PS are drawn to scale. T/F?

A

True

50
Q

Any time when two triangles each have a right angle and also share an additional right angle are similar. T/F?

A

TRUE

51
Q

Rhombus. Define.

A

Parallelogram

+

Opposite equal acute angles

+

Opposite equal obtuse angles

52
Q

Sum of interior angles of a polygon with n sides

A

(n-2)*180

53
Q

What’s the trap in this question?

How man books, each with a volume of 100 cubic in, can be packed into a crate witha volume of 5000 cubic in?

A

it is tempting to do 5000/100 books

WRONG

because you don’t know the dimension of each book.

54
Q

What are the two basic properties of a triangle?

A
  1. sum of angle = 180
  2. size of angle correspond to size of opposite side. If two angles are equale, then their opposite sides are also equal.
55
Q

Triangle Inequality Law. Define.

A

Given two lengths of a triangle.

Length of a third side must lie between the difference & the sum of the two given sides.

56
Q

Common right triangle dimension triplets & their multiples

A

3 - 4 -5 | 6 - 8 - 10

| 12 - 16 - 20

5 - 12 - 13 | 10 - 24- 26

8 - 15 - 17 | NONE

9 - 12- 15

57
Q

The ratio of the sides in an isoscleles right triangle?

A

short: short:long = x : x : x*sqrt(2)
long: short:short = x : x/sqrt(2) : x/sqrt(2)

58
Q

What is the rartion of the sides in a 30-60-90 triangle?

Define its relation with an equilateral triangle.

A

short : mid : long = x : 2x : x*sqrt(3)

you can cut an equilateral triangle in half and employ the property above to label the triangle.

59
Q

What are the 3 ways to identify similar triangle?

A

AA / AAA

SSS

SAS

60
Q

What is the relationship between inscribed angle & central angle of a circle if they both intercept the same arc?

A

angle(inscribed) = 0.5*angle(central)

61
Q

Sum of an evenly spaced set = ?

A

Average * # terms

GMAT (12 decks)

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