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GMAT Prep > GMAT Prep > Flashcards

GMAT Prep Flashcards

1
Q

1/6 (decimal)

A

.167

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2
Q

1/7 (decimal)

A

.143

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3
Q

1/8 (decimal)

A

.125

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4
Q

1/9 (decimal)

A

.111

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5
Q

1/25 (decimal)

A

.04

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6
Q

Prime numbers (1-10)

A

2, 3, 5, 7

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7
Q

Prime numbers (11-20)

A

11, 13, 17, 19 (toad, dam, tack, tub)

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8
Q

Prime numbers (21-30)

A

23, 29 (name, knob)

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9
Q

Prime numbers (31-40)

A

31, 37 (moat, mug)

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10
Q

Prime numbers (41-50)

A

41, 43, 47 (rat, ram, rake)

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11
Q

Prime numbers (51-60)

A

53, 59 (lamb, leap)

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12
Q

Prime numbers (61-70)

A

61, 67 (cheetah, jack)

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13
Q

Prime numbers (71-80)

A

71, 73, 79 (cat, comb, cap)

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14
Q

Prime numbers (81-90)

A

83, 89 (foam, VP)

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15
Q

Prime numbers (91-100)

A

97 (book)

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16
Q

Factorizations rules

A
  1. ….Dividend is even
  2. ….Sum of digits is multiple of 3
  3. ….Last two digits multiple of 4
  4. ….Last digit is 0 or 5
  5. ….Even number and sum of digits multiple of 3 (Mult of 2 and 3)
  6. ….Sum of digits is multiple of 9
  7. ..Ends in 0
  8. ..Last 2 digits divisible by 25
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17
Q

Rate (volume) =

A

Quantity/Time (Q/T)

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18
Q

Rate (velocity) =

A

Distance/Time (D/T)

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19
Q

Quantity =

A

Rate * Time

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20
Q

Distance =

A

Rate * Time

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21
Q

Time =

A

Quantity/Rate OR Distance/Rate

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22
Q

A/B + C/D =

A

AD + BC / BD

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23
Q

Where do I begin?

1) Answers are all numbers

A

Work Backwards (Problem Solving)

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24
Q

Where do I begin?

2) Variables

A

Make up numbers

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25
Q

Where do I begin?

3) Really Hard!

A

Wouldn’t it be nice if (WIBNI)

Make it easier

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26
Q

Where do I begin?

4) Figures

A

P. S. : Drawn to scale
D. S. : Not Drawn to scale

1) Draw (if no figure)
2) If P. S. and already drawn, eyeball it

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27
Q

0 is a multiple of…

A

all numbers

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28
Q

1 is/is not prime because…

A

NOT; only has 1 factor

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29
Q

0 is/is not prime because…

A

NOT; not divisible by self

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30
Q

% Change =

A

(new value - original value)/original value * 100

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31
Q

Dividend/divisor -

A

Quotient + Remainder/divisor

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32
Q

Dividend =

A

Quotient * Divisor + Remainder

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33
Q

12 x 2

A

24

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34
Q

12 x 3

A

36

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35
Q

12 x 4

A

48

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36
Q

12 x 5

A

60

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37
Q

12 x 6

A

72

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38
Q

12 x 7

A

84

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39
Q

12 x 8

A

96

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40
Q

12 x 9

A

108

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41
Q

12 x 10

A

120

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42
Q

12 x 11

A

132

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43
Q

12 x 12

A

144

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44
Q

12 x 13

A

156

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45
Q

12 x 14

A

168

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46
Q

12 x 15

A

180

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47
Q

13 x 2

A

26

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48
Q

13 x 3

A

39

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49
Q

13 x 4

A

52

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50
Q

13 x 5

A

65

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51
Q

13 x 6

A

78

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52
Q

13 x 7

A

91

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53
Q

13 x 8

A

104

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54
Q

13 x 9

A

117

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55
Q

13 x 10

A

130

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56
Q

13 x 11

A

143

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57
Q

13 x 12

A

156

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58
Q

13 x 13

A

169

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59
Q

13 x 14

A

182

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60
Q

13 x 15

A

195

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61
Q

14 x 2

A

28

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62
Q

14 x 3

A

42

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63
Q

14 x 4

A

56

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64
Q

14 x 5

A

70

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65
Q

14 x 6

A

84

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66
Q

14 x 7

A

98

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67
Q

14 x 8

A

112

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68
Q

14 x 9

A

126

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69
Q

14 x 10

A

140

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70
Q

14 x 11

A

154

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71
Q

14 x 12

A

168

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72
Q

14 x 13

A

182

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73
Q

14 x 14

A

196

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74
Q

14 x 15

A

210

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75
Q

15 x 2

A

30

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76
Q

15 x 3

A

45

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77
Q

15 x 4

A

60

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78
Q

15 x 5

A

75

79
Q

15 x 6

A

90

80
Q

15 x 7

A

105

81
Q

15 x 8

A

120

82
Q

15 x 9

A

135

83
Q

15 x 10

A

150

84
Q

15 x 11

A

165

85
Q

15 x 12

A

180

86
Q

15 x 13

A

195

87
Q

15 x 14

A

210

88
Q

15 x 15

A

225

89
Q

16^2

A

256

90
Q

20^2

A

400

91
Q

25^2

A

625

92
Q

50^2

A

2500

93
Q

2^3

A

8

94
Q

2^4

A

16

95
Q

2^5

A

32

96
Q

2^6

A

64

97
Q

2^7

A

128

98
Q

2^8

A

256

99
Q

2^9

A

512

100
Q

2^10

A

1024

101
Q

3^3

A

27

102
Q

4^3

A

64

103
Q

5^3

A

125

104
Q

6^3

A

216

105
Q

7^3

A

343

106
Q

8^3

A

512

107
Q

9^3

A

729

108
Q

10^3

A

1000

109
Q

Prime Numbers Test

A

1) Eliminate 2x and 5x
2) Eliminate 3x
3) Eliminate 7x
4) Eliminate 11x
5) Eliminate 13x
6) Continue to nearest Sq Root

110
Q

What has an odd number of factors?

A

Perfect Square (e.g., 49, 81, etc.)

111
Q

What has exactly 3 factors?

A

Prime number squared (e.g., 4, 9, 25, 49)

112
Q

Factors are divisors (true/false)

A

True

113
Q

Factors are multiples (true/false)

A

False

114
Q

Number of unique factors trick

A

Break down to prime factors, take the power that each prime factor appears to, add one to each and multiply together. (ex. 100 = 225*5 = 2^2 * 5^2… (2+1)(2+1) = 9 unique factors)

115
Q

Price - Discount =

A

Cost + Profit

116
Q

Define: even integer

A

Any integer that when divided by 2 results in another integer

117
Q

Define: odd integer

A

Any integer that when divided by 2 does not result in another integer

118
Q

Define: Divisor (factor)

A

For an integer, a divisor is a positive integer that evenly divides into it

119
Q

Define: multiple

A

Any integer that results from multiplying an integer with another integer

120
Q

Because a multiple of N is N * any integer, multiples are:

A

infinite

121
Q

Because only so many integers divide into N, factors are:

A

finite

122
Q

O is a multiple of:

A

ALL numbers, because 0 times anything is 0, another integer

123
Q

To find LCM (LCD of fractions):

A

1) Determine prime factors
2) Take each unique one to the highest power that it appears
3) Multiply them together

124
Q

To find greatest common factor (GCF):

A

Find all prime factors then find common sets between all #s.

125
Q

If you divide a smaller integer by a larger integer, the quotient is always ____ and the remainder is the ______

A

Zero; Dividend

126
Q

Primes can/cannot be negative integers?

A

Cannot

127
Q

Prime Factors of: 12

A

2^2 * 3

128
Q

Prime Factors of: 24

A

2^3 * 3

129
Q

Prime Factors of: 48

A

2^4 * 3

130
Q

Prime Factors of: 56

A

2^3 * 7

131
Q

Prime Factors of: 72

A

2^3 * 3^2

132
Q

Prime Factors of: 140

A

2^2 * 5 * 7

133
Q

Prime Factors of: 144

A

2^4 * 3^2

134
Q

Odd +/- Odd =

A

Even

135
Q

Odd * Odd =

A

Odd

136
Q

Odd +/- Even =

A

Odd

137
Q

Odd * Even =

A

Even

138
Q

Even +/- Even =

A

Even

139
Q

Even * Even =

A

Even

140
Q

3^4 =

A

81 (9^2)

141
Q

4^4 =

A

256 (16^2)

142
Q

5^4 =

A

625 (25^2)

143
Q

(a+b)^2 =

A

a^2 + 2ab + b^2

144
Q

(a-b)^2 =

A

a^2 - 2ab + b^2

145
Q

(x+y)(x-y) =

A

x^2 - y^2

146
Q

x^2 - y^2 =

A

(x+y)(x-y)

147
Q

Up one/Down one Rule for D. S.

A

D (Each)
A B (1, 2)
C (Together)
E (Neither)

148
Q

Verbal:
Either X or Y
Neither X nor Y
which dictates singular/plural agreement

A

Y Dictates

149
Q

Venn Diagram Formula

A

Total = Set X + Set Y - Both + Neither

150
Q

Work =

A

Rate * Time

151
Q

If work amount is 1 job, rate is:

A

Inverse of time (ex. 1 job = Rate * 5 hours
R = 1/5 job per hour
Rates are additive, Times are NOT. Always convert times to rates

152
Q

Avg Speed =

A

Total Distance / Total Time

153
Q

Triangle Area =

A

1/2 b * h

154
Q

Longest triangle side is always opposite

A

largest angle (but lengths and angles are NOT necessarily proportional)

155
Q

Right Triangles:

Pythagorean Theorem

A

a^2 + b^2 = c^2

156
Q

Common Right Triangle side lengths

A

3 - 4 - 5
5 - 12 - 13
1 - 1 - Root 2 (45 - 45 - 90)
1 - Root 3 - 2 (30 - 60 - 90)

157
Q

Area of Equilateral Triangle

A

All sides equal, all angles 60 degrees, is isosceles

A = 1/4 S^2 Root 3

158
Q

Central Angle/360 =

A

Minor Arc / Circumference

159
Q

Pi =

A

Circumfrence / Diameter = 3.14 = 22/7

160
Q

Circle Area =

A

Pi * R^2

161
Q

Circle Circumference =

A

Pi * D = 2 Pi * r

162
Q

Inscribed angle =

A

1/2 * Central angle to same points

163
Q

Inscribed angle to end points of diameter =

A

90 degrees

164
Q

Coordinate Geometry

y =

A

mx + b
m is slope
b is y-intercept (where x=0)

165
Q

Coordinate Geometry

m =

A

Y2 - Y1 / X2 - X1

166
Q

Coordinate Geometry

Midpoint on line

A

(X1 + X2 / 2, Y1 + Y2 / 2)

167
Q

Coordinate Geometry

X-intercept

A

-b/m

where Y = O

168
Q

Perpendicular lines have slopes that are:

A

negative reciprocals (ex. 2, -1/2)

169
Q

y = x^2 looks like

A

U

170
Q

y = -x^2 looks like

A

n

171
Q

x = y^2 looks like

A

c

172
Q

x = -y^2 looks like

A

D

173
Q

Circle equation:

A

x^2 + y^2 = k

174
Q

mean = Avg =

A

sum of terms / number of terms

175
Q

median =

A

middle value of ordered set (if even # of terms, avg two middle terms)

176
Q

Mode =

A

Most frequently occurring value in set (can be multiple)

177
Q

Range =

A

Difference between smallest and largest value (Always greater than or equal to 0)

178
Q

Standard Deviation =

A

Measure of dispersion around the mean

179
Q

If numbers in a set are evenly spaced, then:

A

mean = median and mean can be found by averaging highest and lowest values

180
Q

Permutations / Combinatorics
N = # of items to arrange
K = # of spots to arrange them

Number of permutations (order matters) = nPk =

A

N! / (N - K)!

Note: if N = K, denominator is 0! = 1, so answer is N!

181
Q

0! =

A

1

182
Q

Permutations / Combinatorics
N = # of items to arrange
K = # of spots to arrange them

Number of combinations (unordered) = nCk =

A

N! / K! (N-K)!

or

nPk / K!

183
Q

Probability is between:

A

0 and 1, inclusive

184
Q

Probability of “at least one” is:

A

P (at least 1) + P (none) = 1

185
Q

1! =

A

1

186
Q

2! =

A

2

187
Q

3! =

A

6

188
Q

4! =

A

24

189
Q

5! =

A

120

190
Q

6! =

A

720

191
Q

Arithmetic Shortcuts:

Divide by 5

A

Double and divide by 10 (move decimal to left by 1)

192
Q

Arithmetic Shortcuts:

To square a number ending in 5

A

Multiply tens digit by (that digit + 1), then tack 25 to end of that number (ex. 45^2 = 4*5 = 2025

193
Q

Arithmetic Shortcuts:

A*B =

A

(2A)(1/2B)

Double one and half the other, then multiply

GMAT Prep (1 decks)

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