Advanced GRE Math Questions - Version 3

8/3/2019 Advanced GRE Math Questions - Version 3

1/25

GRE

Advanced GRE Math Questions

Version 3


2/25

Quantitative Fractions and RatioGRE

2

1.E

2.B

3.B

4.BAnswe

Column A Column B

2.

2 6 3 9

a b c d + = +

9 3a b 6 3c d

3.

1 1 1 1 1 1 11

2 4 8 16 32 64 128k= + + + + + + +

k 2

4. n 3

1 1 1 1 1 11

2 3 4 5 6 7n= + + + + + +

1. The current ratio of boys to girls at a certain school is 2 to 5. If 12 additional boys wereadded to the school, the new ratio of boys to girls would be 4 to 9. How many boyscurrently attend the school?

(A) 27

(B) 48

(C) 54

(D) 72

(E) 108

a, b, c, and dare positive


3/25

Quantitative WoGRE

3

1.C

2.B

3.CAnswe

(A) 1

(B) 5

(C) 7

(D) 25

(E) 35

1. If 7 workers can build 7 cars in 7 days, then how many days would it take 5 workers tobuild 5 cars?

(A) 28

(B) 30

(C) 32

(D) 36

(E) 40

3. Bea can paint a house three times faster than Alice can paint a house. If, working together,it takes Alice and Bea 24 hours to paint a house, then how many hours would it take Bea topaint a house alone?

2. If 6 workers can build 4 cars in 2 days, then how many days would it take 8 workers to

build 6 cars?

(A)

(B)

(C)

(D)

(E)

5

3

9

4

8

3

11

4

10

3


4/25

Quantitative PerceGRE

4

(A) 0.001

(B) 0.01(C) 0.1

(D) 1

(E) 10

1. What percent of 15 is 15 percent of 1?

1.DAnswe


5/25

Quantitative Integer PropertiGRE

5

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4

2. Ifx is an integer, and k= (x 1)(x + 2) (x 1)(x 2), then which of the following mustbe true?

(A) k is odd only when x is odd.

(B) k is odd only when x is even.

(C) k is even only when x is even.

(D) k is even only when x is odd.

(E) None of the above.

3. Ifk is an integer, and is an integer, then k could be each of the following, EXCEPT

(A) 8

(B) 9

(C) 12

(D) 16

(E) 17

235 1

k

1.C

2.E

3.DAnswe

1. Marge has n candies, where n is an integer such that 20 < n< 50. If Marge divides the candiesequally among 5 children, she will have 2 candies remaining. If she divides the candies among 6children, she will have 1 candy remaining. How many candies will remain if she divides thecandies among 7 children?


6/25

Quantitative Integer PropertiGRE

6

(A) 4(B) 5

(C) 6

(D) 7

(E) 8

2. What is the smallest positive integer k such that the product is a perfect square?

(A) 7

(B) 9

(C) 15

(D) 25

(E) 63

1575 k

1.E

2.AAnswe

1. k is a positive integer and 225 and 216 are both divisors ofk. If , where a, band care positive integers, what is the least possible value ofa+ b+ c?

2 3 5a b ck=


7/25

Quantitative - PoweGRE

7

1.

(A)

(B)

(C)

(D)

(E)

3 3 3X X X+ + =

9X

1

3

X+

39 X

23 X

33 X

2. Ifn is an integer and , what is the least possible value ofn?

(A) 7

(B) 8

(C) 9

(D) 10

(E) 11

5 4,000,000n >

Column A Column B

3.

2

4

kx

x2

k

x

1.B

2.D

3.DAnswe

0x>


8/25

Quantitative - PoweGRE

8

1. ( )203 ( )153 9

1.C

2.BAnswe

2. If , then w k=50.063 10

9 100.0007 10

w

k

=

(A) 3

(B) 4

(C) 5

(D) 6

(E) 7

Column A Column B


9/25

Quantitative RooGRE

9

(A)

(B)

(C)

(D)

(E)

1. If , then6 6x = 6x =

6

6 6

66

366

186

(A)

(B)

(C)

(D)

(E)

2. Which of the following is the best approximation of ?253.8 10

51.9 10

56.2 10

121.9 10

126.2 10

251.9 10

1.D

2.DAnswe


10/25

Quantitative AlgebGRE

10

2. Which of the following is equivalent to for all values ofx for which bothexpressions are defined?

( )22

2 3 2 6

2 3

x x x

x x

+ +

(A)

(B)

(C)

(D)

(E)

22 2x

2 2x+

1x+

2 6x+

1x

3. If , then what is the value ofy in terms ofx?)3 2x y x(A)

(B)

(C)

(D)

(E)

3

x

6

x

2

3

x

3x

6x

(A)

(B)

(C)

(D)

(E)

1

1x+

1

x

1

1x+2x x

1. Which of the following is equivalent to for all values ofx for which both expressionsare defined?

11

1xx

+

1.D

2.B

3.CAnswe


11/25

Quantitative AlgebGRE

11

1. Which of the following is equivalent to ?)2 1 2xy xy y y +(A)

(B)

(C)

(D)

(E)

( )22 1xy y+( ) ( )2 1 2 1xy xy ( )22x y( )22x y

( )22y x y

2.

(A)

(B)

(C)

(D)

(E)

( ) ( )9 8 7 63 3 3 3 =43

143

146

142 3

144 3

1.A

2.E

3.BAnswe

Column A Column B

3.

0

1

x

y

Advanced GRE Math Questions - Version 3

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