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A certain list, L, contains a total of n numbers,

A certain list, L, contains a total of n numbers, not necessarily distinct, that are arranged in increasing order. If L1 is the list consisting of the first n1 numbers in L and L2 is the list consisting of the last n2 numbers in L, is 17 a mode for L ? (1) 17 is a mode for L1 and 17 is a mode for L2...

by AbeNeedsAnswers

Wed May 08, 2019 7:50 pm
Forum: Data Sufficiency
Topic: A certain list, L, contains a total of n numbers,
Replies: 1
Views: 205

Is x = y?

Is x = y?

(1) 2x/3 - y/3 = 1/3
(2) x/4 - y/4 = 0

B

Source: Official Guide 2020

by AbeNeedsAnswers

Wed May 08, 2019 7:48 pm
Forum: Data Sufficiency
Topic: Is x = y?
Replies: 2
Views: 180

If a and b are constants, is the expression

If a and b are constants, is the expression (x+b)/(√(x+a)) defined for x = –2 ?

(1) a = 5
(2) b = 6

A

Source: Official Guide 2020

by AbeNeedsAnswers

Wed May 08, 2019 7:46 pm
Forum: Data Sufficiency
Topic: If a and b are constants, is the expression
Replies: 3
Views: 341

In the figure above, PQRT is a rectangle. What is the length

Image

In the figure above, PQRT is a rectangle. What is the length of segment PQ ?

(1) The area of region PQRS is 39 and TS = 6.
(2) The area of region PQRT is 30 and QR = 10.

B

Source: Official Guide 2020


The figure above represents a box that has the shape of a

Image

The figure above represents a box that has the shape of a cube. What is the volume of the box?

(1) PR = 10 cm
(2) QT = 5√6 cm

D

Source: Official Guide 2020


In the figure above, what is the area of region PQRST ?

Image

In the figure above, what is the area of region PQRST ?

(1) PQ = RS
(2) PT = QT

C

Source: Official Guide 2020

by AbeNeedsAnswers

Mon May 06, 2019 7:01 pm
Forum: Data Sufficiency
Topic: In the figure above, what is the area of region PQRST ?
Replies: 1
Views: 235

If each side of parallelogram P has length 1, what is the

If each side of parallelogram P has length 1, what is the area of P ?

(1) One angle of P measures 45 degrees.
(2) The altitude of P is √2/2

D

Source: Official Guide 2020


If a and b are integers, is a^5 < 4^b ?

If a and b are integers, is a^5 < 4^b ?

(1) a^3 = –27
(2) b^2 = 16

A

Source: Official Guide 2020

by AbeNeedsAnswers

Mon May 06, 2019 6:57 pm
Forum: Data Sufficiency
Topic: If a and b are integers, is a^5 < 4^b ?
Replies: 4
Views: 386

In any sequence of n nonzero numbers, a pair of consecutive

In any sequence of n nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For example, the sequence –2, 3, –4, 5 has three sign changes. Does the sequence of nonzero numbers s1, s2, s3, . . . , sn have an even number of sign changes? (1) sk = (–1)^k for al...


Is x an integer?

Is x an integer?

(1) x^3 = 8
(2) x =√4

D

Source: Official Guide 2020

by AbeNeedsAnswers

Mon May 06, 2019 6:52 pm
Forum: Data Sufficiency
Topic: Is x an integer?
Replies: 1
Views: 191

If xyz ≠ 0, what is the value of

If xyz ≠ 0, what is the value of (x^4)(z^2) / (z^2)(y^2)?

(1) y^2 = x^4
(2) x = 2 and y = 4

D

Source: Official Guide 2020

by AbeNeedsAnswers

Mon May 06, 2019 6:47 pm
Forum: Data Sufficiency
Topic: If xyz ≠ 0, what is the value of
Replies: 3
Views: 279

If, in the figure above, ABCD is a rectangular region

Image

If, in the figure above, ABCD is a rectangular region, what is the value of the ratio of (area of triangle EDA)/(area of triangle EBC)?

(1) AD = 4
(2) AE = 2 and EB = 4

B

Source: Official Guide 2020

by AbeNeedsAnswers

Sun May 05, 2019 9:27 pm
Forum: Data Sufficiency
Topic: If, in the figure above, ABCD is a rectangular region
Replies: 1
Views: 256

A six-sided mosaic contains 24 triangular pieces of tile

https://i.postimg.cc/Z095tmz5/OG20-Q329.png A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic? Each side of each triangular piece of...


In triangle JKL shown above, what is the length of segment

Image

In triangle JKL shown above, what is the length of segment JL ?

(1) JK = 10
(2) KL = 5

D

Source: Official Guide 2020


In the figure above, the vertices of triangle OPQ and

Image

In the figure above, the vertices of triangle OPQ and triangle QRS have coordinates as indicated. Do triangle OPQ and triangle QRS have equal areas?

(1) b = 2a
(2) d = 2c

B

Source: Official Guide 2020

by AbeNeedsAnswers

Sun May 05, 2019 9:20 pm
Forum: Data Sufficiency
Topic: In the figure above, the vertices of triangle OPQ and
Replies: 1
Views: 227