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The value of (2^-14 (OG16)

The value of (2^-14 + 2^-15 + 2^-16 + 2^-17)/5 is how many times the value of 2^-17?

A) 3/2
B) 5/2
C) 3
D) 4
E) 5

OA: C

by boomgoesthegmat

Thu May 19, 2016 3:49 pm
Forum: Problem Solving
Topic: The value of (2^-14 (OG16)
Replies: 1
Views: 1077

(1/2)^(-1) x (1/4) (OG16)

(1/2)^(-1) x (1/4)^(-2) x (1/16)^(-1) =

A) (1/2)^(-48)
B) (1/2)^(-11)
C) (1/2)^(-6)
D) (1/8)^(-11)
E) (1/8)^(-6)

OA: B

by boomgoesthegmat

Thu May 19, 2016 3:49 pm
Forum: Problem Solving
Topic: (1/2)^(-1) x (1/4) (OG16)
Replies: 1
Views: 975

If 1/x - 1/(x+1) (OG16)

If 1/x - 1/(x+1) = 1/(x+4), then x could be

A) 0
B) -1
C) -2
D) -3
E) -4

OA: C

by boomgoesthegmat

Thu May 19, 2016 3:49 pm
Forum: Problem Solving
Topic: If 1/x - 1/(x+1) (OG16)
Replies: 4
Views: 2747

In the figure above (OG16)

Image

In the figure above, if z = 50, then x+ y =

A) 230
B) 250
C) 260
D) 270
E) 290

OA: D

by boomgoesthegmat

Thu May 19, 2016 3:48 pm
Forum: Problem Solving
Topic: In the figure above (OG16)
Replies: 2
Views: 1553

In the rectangular coordinate (OG16)

Image

In the rectangular coordinate system above, if point R (not shown) lies on the positive y-axis and the area of triangle ORP is 12, what is the y-coordinate of point R?

A) 3
B) 6
C) 9
D) 12
E) 24

OA: B

by boomgoesthegmat

Thu May 19, 2016 3:48 pm
Forum: Problem Solving
Topic: In the rectangular coordinate (OG16)
Replies: 3
Views: 1538

If m^(-1) = -1/3 (OG16)

If m^(-1) = -1/3, then m^(-2) is equal to

A) -9
B) -3
C) -1/9
D) 1/9
E) 9

OA: D

by boomgoesthegmat

Thu May 19, 2016 3:48 pm
Forum: Problem Solving
Topic: If m^(-1) = -1/3 (OG16)
Replies: 3
Views: 2832

If x = -1, (OG16)

If x = -1, then (x^4 - x^3 + x^2)/(x-1) =

A) -3/2
B) -1/2
C) 0
D) 1/2
E) 3/2

OA: A

by boomgoesthegmat

Thu May 19, 2016 3:47 pm
Forum: Problem Solving
Topic: If x = -1, (OG16)
Replies: 2
Views: 1168

In a certain sequence, the (OG16)

In a certain sequence, the term x(n) is given by the formula x(n) = 2xn(n-1) - (1/2)(x(n-2)) for all n >= 2. If x(0) = 3 and x(1) = 2, what is the value of x(3)?

A) 2.5
B) 3.125
C) 4
D) 5
E) 6.75

OA: C

by boomgoesthegmat

Thu May 19, 2016 3:47 pm
Forum: Problem Solving
Topic: In a certain sequence, the (OG16)
Replies: 2
Views: 2599

If the operation @ is defined (OG16)

If the operation @ is defined by x @ y = sqrt(xy) for all positive numbers x and y, then (5 @ 45) @ 60 =

A) 30
B) 60
C) 90
D) 30sqrt(15)
E) 60sqrt(15)

OA: A

by boomgoesthegmat

Thu May 19, 2016 3:46 pm
Forum: Problem Solving
Topic: If the operation @ is defined (OG16)
Replies: 2
Views: 2523

It would take one machine 4 hours (OG16)

It would take one machine 4 hours to complete a large production order and another machine 3 hours to complete the same order. How many hours would it take both machines, working simultaneously at their respective constant rates, to complete the order? A) 7/12 B) 1 1/2 C) 1 5/7 D) 3 1/2 E) 7 OA: C

by boomgoesthegmat

Thu May 19, 2016 3:46 pm
Forum: Problem Solving
Topic: It would take one machine 4 hours (OG16)
Replies: 2
Views: 2061

If the median of the numbers (OG16)

List I: 3, 6, 8, 19
List II: x, 3, 6, 8, 19


If the median of the numbers in list I above is equal to the median of the numbers in list II above, what is the value of x?

A) 6
B) 7
C) 8
D) 9
E) 10

OA: B

by boomgoesthegmat

Thu May 19, 2016 3:45 pm
Forum: Problem Solving
Topic: If the median of the numbers (OG16)
Replies: 2
Views: 1403

David has d books (OG16)

David has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d ?

A) (5/6)d
B) (7/3)d
C) (10/3)d
D) (7/2)d
E) (9/2)d

OA: C

by boomgoesthegmat

Thu May 19, 2016 3:45 pm
Forum: Problem Solving
Topic: David has d books (OG16)
Replies: 3
Views: 2616

Which of the following is equivalent (OG16)

Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x-3 <= 5?

A) 2 <= x < 16
B) 2 <= x < 4
C) 2 < x <= 8
D) 4 < x <=8
E) 4 <= x < 16

OA: D

by boomgoesthegmat

Thu May 19, 2016 3:45 pm
Forum: Problem Solving
Topic: Which of the following is equivalent (OG16)
Replies: 2
Views: 943

The ratio of the length (OG16)

The ratio of the length to the width of a rectangular advertising display is approximately 3.3 to 2. If the width of the display is 8 meters, what is the approximate length of the display, in meters?

A) 7
B) 11
C) 13
D) 16
E) 26

OA: C

by boomgoesthegmat

Thu May 19, 2016 3:44 pm
Forum: Problem Solving
Topic: The ratio of the length (OG16)
Replies: 3
Views: 1803

If a = -0.3, (OG160

If a = -0.3, which of the following is true?

A) a < a^2 < a^3
B) a < a^3 < a^2
C) av2 < a < a^3
D) av2 < a^3 < a
E) a^3 < a < a^2

OA: B

by boomgoesthegmat

Thu May 19, 2016 3:44 pm
Forum: Problem Solving
Topic: If a = -0.3, (OG160
Replies: 3
Views: 1472