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GMAT > Quant Basics > Flashcards

Quant Basics Flashcards

1
Q

2^0

A

1

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2
Q

2^1

A

2

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3
Q

2^3

A

8

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4
Q

2^2

A

4

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5
Q

2^4

A

16

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6
Q

2^5

A

32

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7
Q

2^6

A

64

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8
Q

2^7

A

128

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9
Q

2^8

A

256

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10
Q

2^9

A

512

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11
Q

2^10

A

1024

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12
Q

2^11

A

2048

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13
Q

3^0

A

1

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14
Q

3^1

A

3

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15
Q

3^2

A

9

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16
Q

3^3

A

27

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17
Q

3^4

A

81

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18
Q

3^5

A

243

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19
Q

3^6

A

729

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20
Q

5^0

A

1

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21
Q

5^1

A

5

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22
Q

5^2

A

25

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23
Q

5^3

A

125

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24
Q

5^4

A

625

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25
Q

5^5

A

3125

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26
Q

1^2

A

1

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27
Q

2^2

A

4

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28
Q

3^2

A

9

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29
Q

4^2

A

16

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30
Q

5^2

A

25

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31
Q

6^2

A

36

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32
Q

7^2

A

49

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33
Q

8^2

A

64

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34
Q

9^2

A

81

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35
Q

10^2

A

100

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36
Q

11^2

A

121

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37
Q

12^2

A

144

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38
Q

13^2

A

169

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39
Q

14^2

A

196

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40
Q

15^2

A

225

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41
Q

16^2

A

256

42
Q

17^2

A

289

43
Q

18^2

A

324

44
Q

19^2

A

361

45
Q

20^2

A

400

46
Q

1^3

A

1

47
Q

2^3

A

8

48
Q

3^3

A

27

49
Q

4^3

A

64

50
Q

5^3

A

125

51
Q

6^3

A

216

52
Q

7^3

A

343

53
Q

8^3

A

512

54
Q

9^3

A

729

55
Q

10^3

A

1000

56
Q

Quick tips to learn

The smallest multiple of any number is:

A

The number itself

57
Q

Quick tips to learn

The largest multiple of any number is:

A

Infinity

58
Q

Definition

The definition of a multiple is:

A

A number multiplied by a positive number

59
Q

Quick tips to learn

What is the relationship between a divisor and a factor?

A

They are the same thing

60
Q

Definition

The definition of a divisor is:

A

A positive integer which when used to divide a number does not give a remainder

61
Q

Quick tips to learn

The smallest divisor of any number is:

A

1

62
Q

Quick tips to learn

The largest divisor of any number is:

A

The number itself

63
Q

Quick tips to learn

The multiples of a number can never be what?

A

Smaller than the number itself

64
Q

Solve

87 x 99

A

8613

Use power of 10s

65
Q

Solve

101 x 30 x 19

A

57570

Use power of 10s

66
Q

Solve

97 x 230 - 310

A

22000

Use power of 10s

67
Q

Solve

39 x 25 + 17 x 19

A

1298

Use power of 10s

68
Q

Solve

27 x 99 + 101 x 43

A

7016

Use power of 10s

69
Q

Solve

80 x 79

A

6320

Use power of 10s

70
Q

Solve

11 x 50 x 49

A

26950

Use power of 10s

71
Q

Solve

98 x 370 - 1260

A

35000

Use power of 10s

72
Q

Solve

29 x 15 + 16 x 49

A

1219

Use power of 10s

73
Q

Put in simplified fraction form

0.13

A

13/100

74
Q

Put in simplified fraction form

0.7

A

7/100

75
Q

Put in simplified fraction form

0.18

A

9/50

76
Q

Put in simplified fraction form

0.35

A

7/20

77
Q

Put in simplified fraction form

0.0023

A

23/1000

78
Q

Put in simplfied fraction form

0.017

A

17/1000

79
Q

Quick tips to learn

To compare fractions then we should do what?

A

Make either the numerators or denominators equal

80
Q

Quick tips to learn

When multiplying a number between 0 and 1 the answer will be what?

A

Smaller than the original value

81
Q

Quick tips to learn

When dividing a number between 0 and 1 the answer will be what?

A

Greater than the original value

82
Q

Methodology

How do you find the fraction for a recurring number with algebra?

A

If x = 0.222222 (eq 1)

Multiply by 10^n where n is the length of the recurring pattern - in this case n = 1

(10^1)x = 2.222222 (eq 2)

**Subtract 1 from 2. **

9 x = 2

x = 2/9 so 0.222222=2/9

83
Q

Translation

Find a X% of Y means

A

Multiply: OF = MULTIPLY

83
Q

Methodology

To find a percent increase what is the multiplier?

A

1 + percentage/100

or 1+ percent as a fraction

84
Q

Methodology

To find a percent decrease what is the multiplier?

A

1- percentage/100

or 1- percent as a fraction

85
Q

What are the first 10 powers of 2?

Quant Basics

A

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024

86
Q

What are the first 10 powers of 3?

Quant Basics

A

1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049

87
Q

What are the first 6 powers of 5?

Quant Basics

A

1, 5, 25, 125, 625, 3125

88
Q

What are the squares from 1 to 10?

Quant Basics

A

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

89
Q

What are the squares from 11 to 20?

Quant Basics

A

121, 144, 169, 196, 225, 256, 289, 324, 361, 400

90
Q

What are the cubes from 1 to 10?

Quant Basics

A

1, 8, 27, 64, 125, 216, 343, 512, 729, 1000

91
Q

Perfect squares

The root of a perfect square is

Quant Basics

A

A positive integer

92
Q

Perfect squares

A perfect square is…

Quant Basics

A

The square of a positive integer

93
Q

What is the equation for unit conversion?

A

x (UC) = y

94
Q

How do you count the number of multiples of x from 1-n inclusive?

A

((highest multiple - lowest multiple ) /x ) +1

95
Q

What is the divisibility rule for 3?

A

Sum of digits is divisible by 3

96
Q

What is the divisibility rule for 4?

A

Integer is divisible by 2 twice OR
Last 2 digits are divisible by 4

97
Q

What is the divisibility rule for 5?

A

Integer ends in 0 or 5

98
Q

What is the divisibility rule for 6?

A

Interger is divisible by 2 and 3 and
Even number where Sum of digits is divisble by 3

99
Q

What is the divisibility rule for 8?

A

Divisible by 2 three times OR
Last 3 digits are divisible by 8

100
Q

What is the divisibility rule for 9?

A

Sum of digits divisible by 9

101
Q

What is the divisibility rule for 11 ?

A

Sum of Odd Place Digits
Sum of Even Place Digits
are Divisible by 11

GMAT (14 decks)

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