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GMAT > Facts > Flashcards

Facts Flashcards

1
Q

11²

A

121

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2
Q

12²

A

144

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3
Q

13²

A

169

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4
Q

14²

A

196

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5
Q

15²

A

225

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6
Q

16²

A

256

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7
Q

17²

A

289

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8
Q

18²

A

324

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9
Q

19²

A

361

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10
Q

20²

A

400

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11
Q

2³

A

8

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12
Q

3³

A

27

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13
Q

4³

A

64

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14
Q

5³

A

125

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15
Q

6³

A

216

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16
Q

7³

A

343

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17
Q

8³

A

512

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18
Q

9³

A

729

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19
Q

2⁶

A

64

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20
Q

2⁷

A

128

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21
Q

2⁸

A

256

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22
Q

2⁹

A

512

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23
Q

4⁴

A

256

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24
Q

3⁴

A

81

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25
Q

5⁴

A

625

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26
Q

9²

A

81

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27
Q

Prime Numbers

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 97

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28
Q

1%

A

1⁄100 (0.01)

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29
Q

5%

A

1⁄20 (0.05)

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30
Q

10%

A

1⁄10 (0.1)

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31
Q

20%

A

1⁄5 (0.2)

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32
Q

25%

A

1⁄4 (0.25)

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33
Q

40%

A

2⁄5 (0.4)

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34
Q

50%

A

1⁄2 (0.5)

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35
Q

60%

A

3⁄5 (0.6)

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36
Q

75%

A

3⁄4 (0.75)

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37
Q

80%

A

4⁄5 (0.8)

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38
Q

11 1⁄9 %

A

1⁄9 (0.111…)

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39
Q

22 2⁄9 %

A

2⁄9 (0.222…)

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40
Q

33 3⁄9 %

A

3⁄9 = 1⁄3 (0.333…)

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41
Q

44 4⁄9 %

A

4⁄9 (0.444…)

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42
Q

55 5⁄9 %

A

5⁄9 (0.555…)

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43
Q

66 6⁄9 % / 66.66%

A

6⁄9=2/3 (0.666…)

44
Q

77 7⁄9 %

A

7⁄9 (0.777…)

45
Q

88 8⁄9 %

A

8⁄9 (0.888…)

46
Q

12 1⁄2 %

A

1⁄8 (0.125)

47
Q

37 1⁄2 %

A

3⁄8 (0.375)

48
Q

62 1⁄2 %

A

5⁄8 (0.625)

49
Q

87 1⁄2 %

A

7⁄8 (0.875)

50
Q

16 2⁄3 %

A

1⁄6 (0.1666…)

51
Q

83 1⁄3 %

A

5⁄6 (0.833…)

52
Q

1⁄7

A

0.14

53
Q

Normal Distribution - both sides from mean (Bell shaped, symmetric about mean)

A

68% - 95% - 99.7%

54
Q

Normal Distribution - one side from mean (Bell shaped, symmetric about mean)

A

34% - 13.5% - 2.35% - 0.15%

55
Q

Roots of a Quadratic Equation (ax²+bx+c=0)

A

(-b ± √ (b² – 4ac) )/2a

56
Q

Determinant of a Quadratic Equation (ax²+bx+c=0)

A

b² – 4ac (=0, equal roots; >0, 2 real roots; <0, imaginary roots

57
Q

Sum of the Roots of a Quadratic Equation (ax²+bx+c=0)

A

-b/a

58
Q

Product of the Roots of a Quadratic Equation (ax²+bx+c=0)

A

c/a

59
Q

0/x

A

0

60
Q

x/0

A

undefined

61
Q

|x| < a

A

-a < x < a

62
Q

|x| > a

A

a < x < -a

63
Q

Horizontal Line

A

y=b; slope = 0

64
Q

Million

A

10⁶

65
Q

Billion

A

10⁹

66
Q

Decimal places (right of decimal point)

A

Tenths, Hundredths, Thousandths, Ten Thousandths, Hundred Thousandths, Millionths)

67
Q

x = √(k+ √(k + √(k+ …

A

x = √(k+x)

68
Q

Line y=x divides quadrant into

A

x<y & x>y

69
Q

√2

A

1.4

70
Q

√3

A

1.7

71
Q

√5

A

2.2

72
Q

Every ODD integer can be expressed as

A

a difference of 2 consecutive squares of integers

73
Q

Evenly spaced nos

A

Mean=Median

74
Q

Consecutive integers

A

Mean=Median

75
Q

Consecutive multiples of same no

A

Mean=Median

76
Q

Symmetrical list

A

Mean=Median

77
Q

Overlapping Sets (3)

A

A=a+d+g+e; B=b+d+g+f; C=c+e+g+f; T=n+[a+b+c+d+e+f+g]

78
Q

Overlapping Sets (3) [sum of 2-group overlaps]

A

T=A+B+C-(sum of 2-group overlaps)+(all 3)+n

79
Q

Overlapping Sets (3) [sum of exactly 2-group overlaps]

A

T=A+B+C-(sum of exactly 2-group overlaps)-2*(all 3)+n

80
Q

Positive Integers

A

1,2,3… (Does NOT include 0)

81
Q

Overlapping Sets (2)

A

T=A+C-(both A&C)+n / T=a+b+c+n

82
Q

Vertical Line

A

x=a; slope=undefined

83
Q

Parabola Eq (vertex form)

A

y=(x-h)² + k; vertex: (h,k)

84
Q

Point position w.r.t line/curve

A

Curve y=ax²+bx+c; Point (p,q) lies above if q>ap²+bq+c below if q<

85
Q

Pascal’s triangle for combinations

A

2, 3, 4-6, 5-10, 6-15-20, 7-21-35

86
Q

(even)² - (even)²

A

Divisible by 4

87
Q

(odd)² - (odd)²

A

Divisible by 4

88
Q

|x - c|

A

Distance b/w x & c

89
Q

0^(¹⁄ₙ)

A

0

90
Q

1^(¹⁄ₙ)

A

1

91
Q

|x| = -x

A

x is negative

92
Q

|x| = x

A

x is positive

93
Q

A number is divisible by 11 if

A

the sum of the
odd-numbered place digits minus the sum
of the even-numbered place digits is
divisible by 11.

94
Q

The units digits of positive powers of 2 will
follow the four-number pattern

A

2-4-8-6

95
Q

The units digits of positive powers of 3 will
follow the four-number pattern

A

3-9-7-1

96
Q

The units digits of positive powers of 4 will
follow a two-number pattern

A

4-6

97
Q

All positive powers of 5 & 6 end in

A

5 & 6

98
Q

The units digits of positive powers of 7 will
follow the four-number pattern

A

7-9-3-1

99
Q

The units digits of positive powers of 8 will
follow the four-number pattern

A

8-4-2-6

100
Q

The units digits of positive powers of 9 will
follow a two digit pattern

A

9-1

101
Q

The smallest five non-negative integers which are both perfect squares and perfect cubes

A

0, 1, 64, 729, 4096
Any integer of the form a^6 (where a is an integer) is both a perfect square and a perfect cube.

102
Q

The number of trailing zeros of a number is

A

the number of (5x2) pairs in the prime factorization of that number.

103
Q

If X (not a perfect power of 10) is an integer with k digits, then 1/x will have ___ leading zeros.

A

k – 1

104
Q

If X (a perfect power of 10) is an integer with k digits, then 1/x will have ___ leading zeros.

A

k - 2

105
Q

GCF of two consecutive integers

A

1

106
Q

2¹⁰

A

1024

GMAT (4 decks)

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