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Gmat > Quant > Flashcards

Quant Flashcards

1
Q

What are the three decimals to the right of 1 called

A

Tenth
Hundredth
Thousandth

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2
Q

How do you multiply two decimals ?

A

Multiply them as integers. Then count the decimals and move the result to the right by that amount

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3
Q

How do you divide Decimals ?

A

Move both decimals to the left until they are both integers.
Then divide

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4
Q

What is a terminating decimal?

A

Decimals has a finite number of digits

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5
Q

What is a non terminating decimal ?

A

A decimal with an infinite number of digits

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6
Q

What kinds of non-terminating decimals are there ?
And what are they?

A

Repeating: 0,45454545

and non repeating: Pi

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7
Q

What fractions will always be terminating?

A

Any fraction with the denominator of:
2, 5, 8, 10

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8
Q

Name the terminating x non terminating multiplication rules

A

Terminatin x Terminating = Terminating
Non x Terminating = Non
Non x Non = Non

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9
Q

When should Plugging in be used ?

A
  • There are variables in the question and answer choice
  • The problem uses the phrase “ in terms of”

-You have the urge to do algebra

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10
Q

What are good numbers when Plugging in?

A
  • small numbers: 2, 3, 5, 10

-100 if the problems deals with percentages

-The product of distinct denominators if the problem has fractions

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11
Q

What numbers should be avoided when plugging in?

A

-0 and 1

-Numbers from the answers

-Conversion Factors such as 60 in problems including Minutes

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12
Q

When should the hidden Plug in be used?

A
  • The answers are fractions, percentages or ratios
  • There is no starting number

-You have the urge to write an equation

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13
Q

When should plugging in the answers be used ?

A
  • The answers are numbers

-The question uses phrases such as “how much” or “ how many”

-You have the urge to write and solve an equation

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14
Q

What are the steps of simplifying algebraic expressions ?

A
  1. Combine like terms
    —> first add and subtract, then divide and multiply
  2. Factor
    —> first pull apart the biggest number, then insert the rest
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15
Q

How should 10x + 4x be factored ?

A
  1. Pull apart the biggest number
    —> 2x * (5 )
  2. Insert the rest
    —> 2x * (5 + 2)
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16
Q

What is a real number ?

A

-Anything that is defined in the number line

-Anything but infinity or negative roots

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17
Q

What are the - and + rules ?

A
  • -and - is always +
  • -and + is always -
    • and + is always +
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18
Q

When can Roots be added or subtracted?

A

-Only when the number under the radical and the power of the root is the same

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19
Q

How are roots added and subtracted?

A

-The Numbers outside the roots are added and subtracted. The rest Stays the same

Ex: a{r + b{r = (a + b){r
Ex: a{r - b{r = (a - b){r

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20
Q

When can Roots be multiplied ?

A

-Only when the power of the roots is equal

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21
Q

How are roots Multiplied ?

A
  • multiply the number inside the root and the numbers outside the roots

Ex: {r * {s = {rs
Ex: a{r * b{s = (ab){rs

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22
Q

How are roots divided by roots ?

A
  • the numbers under the radical are divided, the roots stays moves above both

Ex: {r{s = {r\s

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23
Q

What is a root in the denominator ?

A

-improper
- denominator and nominative have to be multiplied by the root in order to removed

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24
Q

What is MADSPM

A

-when multiplying roots Add
-when dividing roots subtract
-when roots are to the power of roots multiply

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25
Q

What does a fractional Exponent mean?

A

-the number under the exponent is equal to a root
- the nominative is the power of the number and the denominator is the power of the root

Ex: x hoch 3\4 = vierte Wurzel x hoch 3

26
Q

What does a negative exponent mean ?

A

-the number under the exponent is the denominator of a fraction to the power of the |value| of the power

Ex: x to the power of -2 = 1/x to the power of 2

27
Q

What is a nonzero number raised to the power of zero?

28
Q

What is the standard form of a quadratic equation?

A

ax^2 + bx + c = 0

29
Q

How many answers does a quadratic equation have?

A
  • two at most
30
Q

What is the basic approach to solving a quadratic equation ?

A
  1. Sett the equation equal to zero (in the standard form)
  2. Factor the equation
31
Q

What are the steps when factoring a quadratic equation?

A
  1. Split the quadratic
  2. Find the factors of the last value
  3. Of those factors find the two, that added or subtracted equal the b component
  4. Find the values making the Formular equal to zero
32
Q

What is a linear equation?

A
  • An equation, where each variable has an exponent of one
33
Q

How are linear equations solved ?

A
  1. Combine like terms
  2. Isolate the variable
34
Q

When and how is cross multiplication used ?

A
  • when both sides of the equation are fractions
  • by multiplying both sides with the denominator of the other side
35
Q

What are the three forms in which ratios can be written

A
  1. 2:3
  2. 2 to 3
  3. 2/5
36
Q

How is a ratio written as a fraction?

A
  • denominator is the sum of both sides of the ratio
  • the nominative is the side you want to express
37
Q

When should proportions be used ?

A

When an unknown ratio compares the same items as a known ratio

38
Q

How can proportions be solved ?

A

Cross multiply and simplify

39
Q

What is the average of two lists

A

All numbers of both lists added divided by the number of items in both lists

-not both averages added and divided by two

40
Q

When are rates involved in questions?

A

-questions including speed or Amounts of work
-questions including time

41
Q

What is the speed formula ?

A

Speed = Distance * Time

42
Q

What is the work formula ?

A

Work = Quantity Produced * Time

43
Q

What is the Pay formula ?

A

Pay = Currency * Time

44
Q

What is the relationship between a rate and time ?

A

Rate is the inverse of time

45
Q

When are problems usually work problems ?

A
  • when the rates at which a person or Maschine works is given
46
Q

What is the basic work formula ?

A

1/a +1/b = 1/h

47
Q

What are measurement questions?

A

Almost all questions including conversion rates

48
Q

How are measurement questions solved ?

A
  • Set up proportions and cross multiply
49
Q

What is a quadratic equation

A

Equation for which the greatest exponent for any variable is 2

50
Q

What are the common quadratics ?

A
  1. x2 - y2 = (c + y)(x - y)
  2. x2 + 2xy + y2 = (x + y)(x + y)
  3. x2 -2xy + y2 = (x - y)(x - y)
51
Q

What are the three types of counting methods ?

A
  1. Multiple sources, single selection
  2. Single sources, multiple selections
  3. Multiple sources, multiple selections
52
Q

How are multiple sources, single selection questions solved ?

A

Multiply the number of possibilities of each source

53
Q

How are Single source, multiple selection questions solved?

A
  1. Identify: there is a single source from which multiple times is selected
  2. Does order matter? ( look for wehe words different arrangements)
  3. If order matters: do not divide
  4. If order does not matter: divide
54
Q

How is the probability of P(A and B) calculated ?

A

P(A) * P(B)

55
Q

How is the probability of P(A or B) calculated ?

A

P(A) + P(B) -P(A and B)

56
Q

How is the probability of P(A) calculated ?

A

1- P(not A)

57
Q

When should one use 1- P(not A)

A

Probability questions using the words at least

58
Q

How are sequences of probabilities calculated ?

A

Multiply them

  • for sampling with replacement divide
59
Q

How is the least common multiplier calculated ?

A

By multiplying the highest power prime factors of each distinct prime factor by the others.

60
Q

What happens when a fraction is to the power of -1

A

The fraction is flipped

Gmat (3 decks)

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