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Sherpa GMAT 2016 > GMAT 00 - Arithmetic > Flashcards

GMAT 00 - Arithmetic Flashcards

1
Q

Which quantity is bigger? A) square root 3 + cube root 3 + 4th root 3 B) 5.1

A

= 5.1 square root 3 = 1.7 (approx) cube root of 3 = smaller than 1.7 4th root of 3 = smaller than cube root of 3 = smaller than 1.7 1.7 + 1.7 + 1.7 = 5.1 since cube root and 4th root are smaller than 1.7, 5.1 is bigger.

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2
Q

108/9 (chunking technique)

A

= 12 108/9 = (99 + 9)/9 = 99/9 + 9/1 = 11 + 1 = 12

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3
Q

4x7 =

A

= 28

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4
Q

11x7 =

A

= 77

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5
Q

8x10 =

A

= 80

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6
Q

21x11 (arithmetic shortcut)

A

= 231 21x11 = (20+1) x 11 = (20x11) + 11 = 220 + 11 = 231

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7
Q

1,000 =

A

10^3

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8
Q

3^4 =

A

= 81

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9
Q

16x9 (arithmetic shortcut)

A

= 144 16x9 = 16x10 - 16 = 160 - 16 = 144

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10
Q

4x12 =

A

= 48

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11
Q

4/9 (decimal equivalent)

A

= .4444444

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12
Q

165/11

A

= 15 165/11 = (110 + 55) / 11 = 110/11 + 55/11 = 10 + 5 = 15 – Chunking –

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13
Q

0.0833333 (fraction conversion) =

A

= 1/12

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14
Q

9x4 =

A

= 36

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15
Q

4x8 =

A

= 32

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16
Q

is 405 divisible by 3, 5, and 9?

A

= Yes 4+0+5 = 9 9 = divisible by 3 9 = divisible by 9 405 = ends in 5 = divisible by 5

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17
Q

12x10 =

A

= 120

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18
Q

1/99 (decimal conversion) =

A

= 0.0101010101

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19
Q

17^2 =

A

= 289

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20
Q

2x11 =

A

= 22

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21
Q

10x8 =

A

= 80

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22
Q

Trick: Divide by 8

A

Cut your number in half three times

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23
Q

9x8 =

A

= 72

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24
Q

4^3 =

A

= 64

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25
Q

100 =

A

= 10^2

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26
Q

322/14 (chunking technique)

A

= 23 322/14 = (280 + 42)/14 = 280/14 + 42/14 = 20 + 3 = 23

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27
Q

9x6 =

A

= 54

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28
Q

10^2 =

A

= 100

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29
Q

Square Root of 5

A

= 2.2 (approx)

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30
Q

4x2 =

A

= 8

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31
Q

6x8 =

A

= 48

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32
Q

256 =

A

4^4 or 2^8

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33
Q

8x8 =

A

= 64

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34
Q

142/3 =

A

= 47 remainder 1 142/3 = (120 + 22)/3 = 120/3 + 22/3 = 40 + 7 remainder 1 = 47 remainder 1

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35
Q

196 =

A

= 14^2

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36
Q

4x11 =

A

= 44

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37
Q

is 108 divisible by 3, 4, 6, and 9? (Divisibility Rules)

A

= Yes 1 + 0 + 8 = 9 9 = divisible by 3 9 = divisible by 9 108 = 08/2 = 04/2 = 02 = Divisible by 4 108 = even = divisible by 2 108 = divisible by 2 and 3 = divisible by 6

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38
Q

Dimensions of a Right Isosceles Triangle

A

= X : X : X root 2

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39
Q

144 =

A

= 12^2

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40
Q

4^3 =

A

= 64

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41
Q

The Fast Fraction Shortcut

A

1/x + 1/y = (y+x)/xy also works for subtraction 1/x - 1/y = (y-x)/xy

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42
Q

225 =

A

= 15^2

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43
Q

13^2 =

A

= 169

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44
Q

6^3 =

A

= 216

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45
Q

An integer is divisible by 9 if… (Divisibility Rules)

A

If the sum of its digits is divisible by 9

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46
Q

400 =

A

= 20^2

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47
Q

Trick: 20% shortcut (or 30% or 40%)

A

To get 20% of a number, calculate 10% and multiply it by 2 (or 3 for 30% or 4 for 40%)

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48
Q

5x5 =

A

= 25

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49
Q

10x2 =

A

= 20

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50
Q

7x8 =

A

= 56

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51
Q

92/4 (arithmetic shortcut)

A

= 23 92/4 = (92/2) / 2 = 46/2 = 23

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52
Q

Dimensions of a 30-60-90 Right Triangle

A

= X : X root 3 : 2x

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53
Q

25^2 =

A

= 625

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54
Q

11x8 =

A

= 88

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55
Q

An integer is divisible by 10 if… (Divisibility Rules)

A

If it ends in a 0

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56
Q

25 =

A

= 5^2

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57
Q

125 =

A

5^3

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58
Q

16 =

A

2^4 or 4^2

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59
Q

20^2 =

A

= 400

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60
Q

32 =

A

2^5

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61
Q

11x3 =

A

= 33

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62
Q

9x11 =

A

= 99

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63
Q

1/12 (decimal conversion) =

A

= 0.083333333

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64
Q

30^2 =

A

= 900

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65
Q

10x6 =

A

= 60

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66
Q

Definition: A Perfect Cube

A

A Perfect Cube is a number that results from one number multiplied by itself twice (the square of itself) ex. 125 is a perfect cube (5x5x5 or 5x5^2)

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67
Q

9x12 =

A

= 108

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68
Q

3x9 =

A

= 27

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69
Q

289 =

A

= 17^2

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70
Q

3^2 =

A

= 9

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71
Q

1/4 (decimal conversion) =

A

= 0.25

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72
Q

11 x 14 (multiplication trick)

A

= 154 11x14 = 14 (10 + 1) = 140 + 14 = 154

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73
Q

The Perfect Square Minus 1 Trick

A

If you know your perfect squares, then you can figure out the total of any numbers multiplied around any perfect square. For example: 6x6 = 36 therefore 5x7 = (6x6 - 1) = 35

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74
Q

3x10 =

A

= 30

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75
Q

3x4 =

A

= 12

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76
Q

5x6 =

A

= 30

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77
Q

2^2 =

A

= 4

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78
Q

1/9 (decimal conversion) =

A

= 0.1111111

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79
Q

12x4 =

A

= 48

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80
Q

19^2 =

A

= 361

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81
Q

6x3 =

A

= 18

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82
Q

15^2 (numerical equivalent)

A

= 225

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83
Q

Trick: 10% shortcut

A

To get 10% of a number, shift the decimal one space to the left

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84
Q

243 =

A

3^5

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85
Q

0.09090909 (fraction conversion) =

A

= 1/11

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86
Q

6x9 =

A

= 54

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87
Q

12x5 =

A

= 60

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88
Q

7x5 =

A

= 35

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89
Q

8x2 =

A

= 16

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90
Q

1/7 (decimal conversion) =

A

= 0.14 (approx)

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91
Q

0.1111111 (fraction conversion) =

A

= 1/9

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92
Q

9x9 =

A

= 81

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93
Q

1/11 (decimal conversion) =

A

= 0.09090909

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94
Q

Square Root of 1

A

= 1

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95
Q

36 =

A

= 6^2

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96
Q

0.1 (fraction conversion) =

A

= 1/10

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97
Q

0.125 (fraction conversion) =

A

= 1/8

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98
Q

If n = 161/7, what is the value of n?

A

= 23 161/7 = (140 + 21) 7 = 140/7 + 21/7 = 20 + 3 = 23

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99
Q

10x5 =

A

= 50

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100
Q

is 480 diisible by 3, 6 and 9?

A

= 3 and 6 = Yes = 9 = No 480 = 4 + 8 = 12 = divisible by 3 = not divisible by 9 480 = even = divisible by 2 480 = divisible by 2 and 3 = divisible by 6

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101
Q

Which of these quantities are greater: A = Square root of 2 + square root of 6 + square root of 8 B = 4

A

Answer = A A = (approx) 1.4 + 2.4 + 2.8 = 6.6 B = 4 << This is a trap question: you can’t add roots directly >>

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102
Q

256 =

A

= 16^2

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103
Q

31 x 13 (multiplication trick)

A

= 403 31x13 = 31(10+3) = 310 + 93 = 403

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104
Q

Does 16x25 = 400?

A

Answer = Yes 16 = 4x4 (25)(4)(4) = (100)(4) = 400

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105
Q

2x5 =

A

= 10

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106
Q

3x6 =

A

= 18

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107
Q

5x1 =

A

= 5

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108
Q

7x99 (arithmetic shortcut)

A

= 693 7x99 = 7x100 - 7 = 700 - 7 = 693

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109
Q

11x6 =

A

= 66

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110
Q

24x5 (arithmetic shortcut)

A

= 120 24x5 = (20+4) x 5 = 20x5 + 4x5 = 100 + 20 = 120

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111
Q

Does 18 x 9 = 162?

A

Answer = yes 18 = (9)(2) (9)(2) x 9 = (9)(9)(2) = 81 x 2 = 162

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112
Q

0.33333 (fraction conversion) =

A

= 1/3

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113
Q

1/3 (decimal conversion) =

A

= 0.33333

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114
Q

6x6 =

A

= 36

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115
Q

11x9 =

A

= 99

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116
Q

5x2 =

A

= 10

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117
Q

19x21 =

A

= 399 19x21 = 20x20 - 1 19x21 = 400 - 1 = 399 – Perfect Square Minus 1 Trick –

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118
Q

3^3 =

A

= 27

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119
Q

Definition: A Perfect Square

A

A Perfect Square is a number that results from one number multiplied by itself Ex. 25 is a perfect square (5x5)

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120
Q

8 x 17 (multiplication trick)

A

= 136 8 x 17 = 8 (10 + 7) = 80 + 56 = 136

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121
Q

9x5 =

A

= 45

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122
Q

5%, 10%, and 15% of 40 (10% shortcut)

A

= 2, 4, and 6

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123
Q

2^3 =

A

= 8

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124
Q

361 =

A

= 19^2

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125
Q

64 =

A

2^6 or 4^3

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126
Q

2/7 (decimal equivalent)

A

= .28

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127
Q

2^6 =

A

= 64

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128
Q

90/5 (arithmetic shortcut)

A

= 18 90/5 = (18x5)/5 = 18

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129
Q

6x10 =

A

= 60

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130
Q

5x8 =

A

= 40

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131
Q

1/2 (decimal conversion) =

A

= 0.5

132
Q

If a = 35x5x28 and b = 12x25x13, then what is the value of (a-b)/100?

A

Answer = 10 FACTOR a = 35 x 5 x 28 = (7x5) (5) (7x4) = (7x7) (5x5x4) = (49) (100) = 4,900 b = 12 x 25 x 13 = (3x4) (25) (13) = (3x13) (4x25) = (39) (100) = 3,900 a - b = 4,900 - 3,900 = 1,000 1,000 / 100 = 10

133
Q

108/7 =

A

= 15 remainder 3 108/7 = (70 + 38) / 7 = 70/7 + 38/7 = 10 + 5 rem. 3 = 15 remainder 3

134
Q

27 =

A

3^3

135
Q

8x5 =

A

= 40

136
Q

8^3 =

A

= 512

137
Q

square root of two (numerical equivalent)

A

= 1.4 (approx)

138
Q

2x10 =

A

= 20

139
Q

Does 35 x 15 x 12 = 6300?

A

Answer = yes 35 = (7x5) 15 = (5x3) 12 = (3x4) 35 x 15 x 12 = (7x5) x (5x3) x (3x4) = (5x5) x (4) x (3x3) x (7) = 25 x 4 x 9 x 7 = 100 x 63 = 6300

140
Q

11^2 =

A

= 121

141
Q

An integer is divisible by 5 if… (Divisibility Rules)

A

If it ends in 0 or 5

142
Q

9x10 =

A

= 90

143
Q

8 =

A

2^3

144
Q

Trick: Multiply by 5

A

Multiply by 10, then divide by 2 (or vice versa)

145
Q

7x2 =

A

= 14

146
Q

64 (numerical equivalent)

A

= 4^3

147
Q

Trick: 15% shortcut

A

To get 15% of a number, calculate 10% and 5% of the number, then add them together

148
Q

7 x 123 (multiplication trick)

A

= 861 7x123 = 7 x (100 + 23) = 700 + 7(23) = 700 + 7(20 + 3) = 700 + 140 + 21 = 861

149
Q

12x7 =

A

= 84

150
Q

64 =

A

= 8^2

151
Q

Square Root of 8

A

= 2.8 (approx)

152
Q

8x12 =

A

= 96

153
Q

2^4 =

A

= 16

154
Q

2x6 =

A

= 12

155
Q

3x11 =

A

= 33

156
Q

4x6 =

A

= 24

157
Q

10x3 =

A

= 30

158
Q

9 =

A

3^2

159
Q

0.25 (fraction conversion) =

A

= 1/4

160
Q

Square Root of 6

A

= 2.4 (approx)

161
Q

5x9 =

A

= 45

162
Q

5x11 =

A

= 55

163
Q

24^2 =

A

= 576

164
Q

9x7 =

A

= 63

165
Q

529 =

A

= 23^2

166
Q

0.0101010101 (fraction conversion) =

A

= 1/99

167
Q

4/2x4 = ?

A

4/2x4 = (4/2) x 4 = 2 x 4 = 8 Multiplication and Division are equal operations. Be sure to do them in order from left to right without hierarchy.

168
Q

144/8 (arithmetic shortcut)

A

= 18 144/8 = (12x12)/8 = (4x3x6x2)/(4x2) = (4x2)(6x3)/4x2) = 18 or 8 x 20 = 160 - 8 = 152 - 8 = 144

169
Q

625 =

A

= 25^2

170
Q

Trick: Divide by 4

A

Cut your number in half twice

171
Q

1/8 (decimal conversion) =

A

= 0.125

172
Q

11x13 =

A

= 143 11x13 = 12x12 - 1 11x13 = 144-1 = 143 – Perfect Square Minus 1 Trick –

173
Q

8x7 =

A

= 56

174
Q

10x12 =

A

= 120

175
Q

11x12 =

A

= 132

176
Q

3x8 =

A

= 24

177
Q

7x3 =

A

= 21

178
Q

20%, 40%, and 60% of 120 (10% shortcut)

A

= 24, 48, and 72

179
Q

1%, 10%, and 12% of 240 (10% shortcut)

A

= 2.4. 24, and 28.8

180
Q

10x11 =

A

= 110

181
Q

14^2 =

A

= 196

182
Q

5x10 =

A

= 50

183
Q

8x9 =

A

= 72

184
Q

11x11 =

A

= 121

185
Q

4x5 =

A

= 20

186
Q

6x12 =

A

= 72

187
Q

7x6 =

A

= 42

188
Q

1/5 (decimal conversion) =

A

= 0.2

189
Q

3x7 =

A

= 21

190
Q

If x = 350/14 and y = 900/18, what is the value of x+y?

A

x + y = 75 FACTOR X = 350/14 = (35)(10) / (2)(7) = (7)(5)(5)(2) / (2)(7) = (5)(5) = 25 X = 25 Y = 900/18 = (9)(100) / (9)(2) = 100/2 = 50 Y = 50 X + Y = 25 + 50 = 75

191
Q

Which of the following is a factor of 5,427? A = 4 B = 5 C = 6 D = 7 E = 9

A

Answer = E = 9 > Not even, so not divisible by 4 = not A > Doesn’t end in 5, so not divisible by 5 = not B > Not even, so not divisible by 2 = not divisible by 2 & 3 = not divisible by 6 = not C > 5427 = 5400 + 27 = (100)(54) + 27 = not divisible by 7 = not D > 5+4+2+7 = 18 = divisible by 9 = E – Divisibility Rules –

192
Q

81 =

A

9^2 or 3^4

193
Q

7x4 =

A

= 28

194
Q

7x10 =

A

= 70

195
Q

0.2 (fraction conversion) =

A

= 1/5

196
Q

The number 10^15 is divisible by all of the following EXCEPT: A) 500 B) 250 C) 64 D) 32 E) 6

A

Answer = E = 6 10^15 = 1,000,000,000,000,000 A & B = yes (end in 5) C = 64 = 8x8 = last 3 digits cut in half 3 times = (0 to 5 to 0 to 5) = still whole = yes D = 32 = 8x4 = last 3 digits cut in half 3 times (0 to 5 to 0 to 5) and last two digits cut in half twice (0 to 5 to 0) = yes E = 1,000,000,000,000,000,000 (sum of digits) = 1 = NOT divisible by 6 – Divisibility Rules –

197
Q

2x2 =

A

= 4

198
Q

11x5 =

A

= 55

199
Q

1/100 (decimal conversion) =

A

= 0.01

200
Q

Definition “Chunking”

A

A division trick in which you separate large numbers into smaller, more manageable numbers before performing division. Ex: 168 / 14 = (140 + 28) / 14 = 140/14 + 28/14 = 10 + 2 = 12

201
Q

3x2 =

A

= 6

202
Q

324 =

A

= 18^2

203
Q

Which of these quantities is larger: A = 63x5x42 B = 49x9x30

A

Answer = they are equal A = 63x5x42 = (9x7) (5) (7x6) = (7x7) (9) (5x6) B = 49x9x30 = (7x7) (9) (3x5x2) = (7x7) (9) (5x6)

204
Q

2x7 =

A

= 14

205
Q

49 =

A

= 7^2

206
Q

Which of the following quantities is greater: A = 241 X 11.6 B = 241(11) + 241(0.6)

A

Answer = They are Equal

207
Q

Square Root of 10

A

= 3.2 (approx)

208
Q

5^3 (numerical equivalent)

A

= 125

209
Q

4^4 =

A

= 256

210
Q

22^2 =

A

= 484

211
Q

900 =

A

30^2

212
Q

5^3 =

A

= 125

213
Q

3^5 =

A

= 243

214
Q

12 x 12.5 =

A

= 150 12 x 12.5 = 12 x (12 + 0.5) = (12x12) + (12 x 0.5) = 144 + 6 = 150

215
Q

1%, 10%, and 98% of 110 (10% shortcut)

A

= 1.1, 11, and 107.8

216
Q

23^2 =

A

= 529

217
Q

1 + 4(5-3)^2 - 3x6 = ?

A

Answer = -1 PEMDAS 1 + 4(2)^2 - 3x6 = 1 + 4(4) - 3x6 = 1 + 16 - 18 = 17 - 18 = -1

218
Q

14x16 =

A

= 224 14x16 = 15x15 - 1 14x15 = 225-1 = 224 – Perfect Square Minus 1 Trick –

219
Q

9^3 =

A

= 729

220
Q

3x5 =

A

= 15

221
Q

5x7 =

A

= 35

222
Q

484 =

A

= 22^2

223
Q

5x4 =

A

= 20

224
Q

5x3 =

A

= 15

225
Q

255/11 (chunking technique)

A

= 23 2/11 255/11 = (22)(10)/11 + 35/11 = (2)(10) + 35/11 = 20 + 3 + 2/11 = 23 + 2/11

226
Q

2^3 =

A

= 8

227
Q

11x2 =

A

= 22

228
Q

5x12 =

A

= 60

229
Q

10x4 =

A

= 40

230
Q

4^2 =

A

= 16

231
Q

An integer is divisible by 2 if… (Divisibility Rules)

A

If its last digit can be cut in half

232
Q

Trick: Divide by 5

A

Divide by 10, then multiply by 2 (or vice versa)

233
Q

2x3 =

A

= 6

234
Q

0.1666666 (fraction conversion) =

A

= 1/6

235
Q

3x12 =

A

= 36

236
Q

10x10 =

A

= 100

237
Q

12x9 =

A

= 108

238
Q

10^3 =

A

= 1,000

239
Q

15^2 =

A

= 225

240
Q

An integer is divisible by 6 if… (Divisibility Rules)

A

If it is divisible by 2 and by 3

241
Q

21^2 =

A

= 441

242
Q

18^2 =

A

= 324

243
Q

Square Root of 9

A

= 3

244
Q

12x6 =

A

= 72

245
Q

576 =

A

= 24^2

246
Q

Square Root of 4

A

= 2

247
Q

4x4 =

A

= 16

248
Q

is 189 divisible by 3 and 9? (Divisibility Rules)

A

= Yes 1 + 8 + 9 = 18 18 = divisible by 3 18 = divisible by 9

249
Q

14x16 (arithmetic shortcut)

A

= 224 14x16 = 15x15 - 1 (perfect square trick) = 225 - 1 = 224

250
Q

PEMDAS

A

Whenever you perform basic arithmetic, there is a specific order in which the arithmetic must be performed. This order is commonly known through the acronym PEMDAS P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = Subtraction Example: 1 + 4(5-3)^2 - 3x6 = ? Answer = -1 * Caveat: Multiplication and Division are equal operations, so instead of setting one before the other, be sure to do whichever comes first, going left to right across the problem.

251
Q

0.5 (fraction conversion) =

A

= 1/2

252
Q

9x3 =

A

= 27

253
Q

An integer is divisible by 7 if… (Divisibility Rules)

A

No rule - chunk the number (factor it down, look for a 7)

254
Q

Trick: Multiply by 99

A

Multiply by 100, then subtract the original number

255
Q

12x12 =

A

= 144

256
Q

16 =

A

= 4^2

257
Q

0.01 (fraction conversion) =

A

= 1/100

258
Q

7x7 =

A

= 49

259
Q

What is the 16th digit to the right of the decimal point in the decimal equivalent of 3/11?

A

= 7 1/11 = 0.0909090909 (repeating) therefore, 3 x 0.0909090909 (repeating) = 0.27272727 (repeating) 16 is an even number, so the digit will be the even result = 7

260
Q

Square Root of 7

A

= 2.6 (approx)

261
Q

6x11 =

A

= 66

262
Q

0.55555555 (fraction equivalent)

A

= 5/9

263
Q

7x11 =

A

= 77

264
Q

6x7 =

A

= 42

265
Q

16^2 =

A

= 256

266
Q

Square Root of 2

A

= 1.4 (approx)

267
Q

Trick: 1% shortcut

A

To get 1% of a number, simply shift its decimal spot two spaces to the left

268
Q

2^5 =

A

= 32

269
Q

Square Root of 3

A

= 1.7 (approx)

270
Q

Trick: 5 % shortcut

A

To get 5% of a number, shift the decimal one space to the left and cut the number in half

271
Q

9x2 =

A

= 18

272
Q

square root of 7 (numerical equivalent)

A

= 2.6 (approx)

273
Q

12x3 =

A

= 36

274
Q

2x12 =

A

= 24

275
Q

6x5 =

A

= 30

276
Q

20% of 180

A

= 36 20% of 180 = 2 x 10% of 180 = 2 x 18 = 36

277
Q

165/3 (chunking technique)

A

= 55 165/3 = (150 + 15)/3 = 150/3 + 15/3 = 50 + 5 = 55

278
Q

7^3 =

A

= 343

279
Q

An integer is divisible by 4 if… (Divisibility Rules)

A

If its last TWO digits can be cut in half TWICE

280
Q

8x4 =

A

= 32

281
Q

12^2 =

A

= 144

282
Q

7x12 =

A

= 84

283
Q

0.14 (approx. fraction conversion) =

A

= 1/7

284
Q

121 =

A

= 11^2

285
Q

8x3 =

A

= 24

286
Q

3^3 =

A

= 27

287
Q

4 =

A

= 2^2

288
Q

Trick: Multiply by 9

A

Multiply by 10 and subtract the original number

289
Q

10x7 =

A

= 70

290
Q

An integer is divisible by 3 if… (Divisibility Rules)

A

If the sum of its digits is divisible by 3

291
Q

Which quantity is bigger? A = 233.104(5.005) B) 5(233.104) + 0.005(233.104)

A

C = they are equal 233.104(5.005) = 5(233.104) + 0.005(233.104) 233.104(5.005) = (5.005)(233.104)

292
Q

4x9 =

A

= 36

293
Q

12x8 =

A

= 96

294
Q

Does 14 x 35 = 500?

A

Answer = no 14 = (7x2) 35 = (7x5) (7x2) x (7x5) = (7x7) (5x2) = (49) (10) = 490

295
Q

The Multiplication Trick

A

When multiplying by a big, complicated number, see if you can split that number into numbers less complicated ex: 9 x 21 = 9 x (20+1) = (9 x 20) + (9 x 1) = 180 + 9 = 189

296
Q

11x4 =

A

= 44

297
Q

81/27

A

= 3 FACTOR Division is a fraction. You can always factor in a fraction. 81/27 = (9)(9) / (9)(3) = 9/3 = 3

298
Q

7x9 =

A

= 63

299
Q

8x6 =

A

= 48

300
Q

3x3 =

A

= 9

301
Q

81 =

A

= 9^2

302
Q

8x11 =

A

= 88

303
Q

16 (numerical equivalent)

A

= 4^2

304
Q

The Square Root Trick

A

Values larger than the square root of 4 increase in increments of 0.2 and values smaller than the square root of 4 decrease in increments of 0.3 << This only works up to the square root of 10 >>

305
Q

10x9 =

A

= 90

306
Q

12x11 =

A

= 132

307
Q

1/6 (decimal conversion) =

A

= 0.16666666

308
Q

Which quantity is bigger? A) the 30th digit to the right of the decimal point in the decimal equivalent of 18/99? B) the 41st digit to the right of the decimal point in the decimal equivalent of 18/99?

A

= A 1/99 = .01010101010101 therefore 18/99 = .181818181818181818 30 = even = 8 41 = odd = 1 8 > 1 = A is bigger

309
Q

0.375 (fraction equivalent)

A

= 3/8

310
Q

9 =

A

= 3^2

311
Q

441 =

A

= 21^2

312
Q

4x10 =

A

= 40

313
Q

6x2 =

A

= 12

314
Q

4x3 =

A

= 12

315
Q

1/10 (decimal conversion) =

A

= 0.1

316
Q

2x4 =

A

= 8

317
Q

An integer is divisible by 8 if… (Divisibility Rules)

A

If its last THREE digits can be cut in half THREE times

318
Q

216 =

A

6^3

319
Q

169 =

A

= 13^2

320
Q

11x10 =

A

= 110

321
Q

6x4 =

A

= 24

322
Q

2x8 =

A

= 16

323
Q

Trick: Multiply by 11

A

Multiply by 10, then add the original number

324
Q

2x9 =

A

= 18

325
Q

12x2 =

A

= 24

Sherpa GMAT 2016 (20 decks)

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