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GRE Math > Part 1: Arithmetic > Flashcards

Part 1: Arithmetic Flashcards

1
Q

(√(a)) ^ 2

A

a

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2
Q

√(a^2)

A

a

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3
Q

√a√b

A

√(ab)

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4
Q

√a/√b

A

√(a/b)

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5
Q

For odd order roots, how many roots are there for every number?

A

one, even for negative numbers.

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6
Q

For even order roots, how many roots are there for every number?

A

two (a positive and negative root), if the number is positive. zero, if the number is negative.

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7
Q

What is an irrational number?

A

A number with a decimal that neither terminates nor repeats.

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8
Q

What is a real number?

A

The set of all rational and irrational numbers.

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9
Q

What is an interval?

A

A set of real numbers in between two numbers.

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10
Q

|r + s| ? |r| + |s|

A

less than or equal to

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11
Q

What is a ratio?

A

A way to express the relative quantities of two values.

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12
Q

15 - (6 - 4) (-2)

A

19

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13
Q

(2 - 17) / 5

A

-3

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14
Q

(60 / 12) - (-7 + 4)

A

8

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15
Q

3^4 - (-2)^3

A

89

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16
Q

(-5)(-3) - 15

A

0

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17
Q

(-2)^4 times (15 - 18)^4

A

1296

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18
Q

(20 / 5)^2 times (-2 + 6)^3

A

1024

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19
Q

(-85)(0) - (-17)(3)

A

51

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20
Q

1/2 - 1/3 + 1/12

A

1/4

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21
Q

(3/4 + 1/7)(-2/5)

A

-5/14

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22
Q

(7/8 - 4/5)^2

A

9/1600

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23
Q

(3/-8)/(27/32)

A

-4/9

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24
Q

Which of the integers 312, 98, 112, and 144 are divisible by 8?

A

312 and 112 and 144

25
Q

What is the prime factorization of 372

A

2 * 3 * 2 * 31

26
Q

What are the positive divisors of 372

A

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, and 372

27
Q

What are the prime divisors of 100?

A

2, 5

28
Q

What are the prime divisors of 144?

A

2, 3

29
Q

Which of the integers 2, 9, 19, 29, 30, 37, 45, 49, 51, 83, 90, 91 are prime?

A

2, 19, 29, 37, 83

30
Q

What is the prime factorization of 585?

A

3 * 3 * 5 * 13

31
Q

True or False: -5 < 3.1

A

True

32
Q

True or False: √16 = 4

A

True

33
Q

TF: 7/0 = 0

A

False

34
Q

TF: 0 < |-1/7|

A

True

35
Q

TF: 0.3 < 1/3

A

True

36
Q

TF: (-1)^87 = -1

A

True

37
Q

TF: √((-3)^2) < 0

A

False

38
Q

TF: 21/28 = 3/4

A

True

39
Q

TF: -|-23| = 23

A

False

40
Q

TF: 1/2 > 1/17

A

True

41
Q

(59^3)(59^2) = 59^6

A

False

42
Q

-√25 < -4

A

True

43
Q

What is 40% of 15?

A

6

44
Q

What is 150% of 48

A

72

45
Q

What is 0.6% of 800

A

4.8

46
Q

15 is 30% of what number?

A

50

47
Q

11 is what percent of 55?

A

20%

48
Q

What percent is an increase of 200 to 234?

A

17%

49
Q

What percent is a decrease of 160 to 152?

A

5%

50
Q

If you take 40 and increase by 20% then decrease by 25% what is the final number?

A

36

51
Q

Total of 20. If ratio of dogs to cats is is 3:2, how many cats?

A

8

52
Q

If c is even, and d is odd, is the final number even or odd?

c + 2d

A

even

53
Q

If c is even, and d is odd, is the final number even or odd?

2c + d

A

odd

54
Q

If c is even, and d is odd, is the final number even or odd?

cd

A

even

55
Q

If c is even, and d is odd, is the final number even or odd?

c^d

A

even

56
Q

If c is even, and d is odd, is the final number even or odd?

(c + d)^2

A

odd

57
Q

If c is even, and d is odd, is the final number even or odd?

c^2 - d^2

A

odd

58
Q

When the positive integer n is divided by 3, the remainder is 2, and when
n is divided by 5, the remainder is 1. What is the least possible value of n ?

A

11

GRE Math (4 decks)

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