Data Sufficiency

Does the product jkmn equal 1? (1) jk mn =1 𝑗 𝑘 𝑚 𝑛 = 1 (2) j= 1 k 𝑗 = 1 𝑘 and m= 1 n 𝑚 = 1 𝑛

If m/n = 5/3, what is the value of m + n ? (1) m > 0 (2) 2m + n= 26

If x, y, and z are positive, what is the value of x ? (1) x + y = z + y (2) z – y = 4 – y

Is line l parallel to the y-axis? (1) The equation of line l is x = 4. (2) The points (4,2) and (4,–5) are on line l. DS21220

Currently there are 50 picture books on each shelf in the children's section of a library. If these books were to be placed on smaller shelves with 30 picture books on each shelf, how many of the smaller shelves would be needed to hold all these books? (1) The number of smaller shelves needed is 6 more than the current number of shelves. (2) Currently there are 9 shelves in the children's section.

If n is an integer, is n even? (1) n^2 - 1 is an odd integer. (2) 3n + 4 is an even integer.

Is the total price of the items in Andrea's shopping cart less than $25.00? (1) There are 5 items in Andrea's shopping cart. (2) The price of the most expensive item in Andrea's shopping cart is $4.99

What is the area of triangle ABC? (1) AB = 6 and BC = 8. (2) Angle B is a right angle.

Is n an integer greater than 4? (1) 3n is a positive integer. (2) n/3 is a positive integer.

Is x an even integer? (1) x is the square of an integer. (2) x is the cube of an integer.

If m and n are consecutive positive integers, is m greater than n ? (1) m-1 and n+1 are consecutive positive integers. (2) m is an even integer.

How many of the boys in a group of 100 children have brown hair? (1) Of the children in the group, 60 percent have brown hair. (2) Of the children in the group, 40 are boys.

If P and Q are each circular regions, what is the radius of the larger of these regions? (1) The area of P plus the area of Q is equal to 90π 90 𝜋 . (2) The larger circular region has a radius that is 3 times the radius of the smaller circular region.

Is x an integer ? (1) 2x/3 is an integer (2) x - 4 is an integer

According to the graph above, the sale of fruits and vegetables in Store S last week accounted for what percent of the total sales income for the week? (1) Last week the total income from the sale of fruits and vegetables in Store S was $16,000. (2) x = 2y ID: 700137 DS21221 Show Spoiler ­

Is y=6 𝑦 = 6 ? (1) y 2 =36 𝑦 2 = 36 (2) y 2 −7y+6=0 𝑦 2 − 7 𝑦 + 6 = 0 Source: Quant Review 1st Edition

If x, y, p, and q are positive, is x≥y ? (1) px qy = p q (2) xy=p

The table above shows the results of a survey of 100 voters who each responded "Favorable" or "Unfavorable" or "Not Sure" when asked about their impressions of Candidate M and of Candidate N. What was the number of voters who responded "Favorable" for both candidates? (1) The number of voters who did not respond "Favorable" for either candidate was 40. (2) The number of voters who responded "Unfavorable" for both candidates was 10.

Is quadrilateral PQRS a square? (1) All four sides of PQRS have equal length. (2) The diagonals of PQRS are equal.

In ΔJKL shown above, what is the length of segment JL ? (1) JK = 10 (2) KL = 5 DS83602.01 OG2020 NEW QUESTION Show Spoiler