Data Sufficiency

Is the product of integers a, b, and c divisible by 8? (1) a, b, c are consecutive even integers. (2) a + b + c = 24.

What is 5 percent of x ? (1) x = 200 (2) 10 percent of x is 20.

Is x - y > r - s ? (1) x > r and y < s (2) y = 2, s = 3, r = 5, and x = 6 PS21276

If x and y are integers, is xy + 1 divisible by 3 ? (1) When x is divided by 3, the remainder is 1. (2) When y is divided by 9, the remainder is 8. DS06402.01

3.2XY6 If X and Y each represent single digits in the decimal above, what digit does X represent? (1) When the decimal is rounded to the nearest tenth, 3.2 is the result. (2) When the decimal is rounded to the nearest hundredth, 3.24 is the result.

If x≠0 , what is the value of ( x p x q ) 4 ? (1) p = q (2) x = 3

What is the ratio of x:y:z? (1) z = 1 and xy =32 (2) x/y = 2 and z/y = 1/4

If a and b are positive integers, is a/b = 2/3 ? (1) 3a = 2b (2) For integers m and n, a = 2m and b = 3n

Is |x – 3| < 7 ? (1) x > 0 (2) x < 10

If xy = - 6, what is the value of xy(x + y)? (1) x−y=5 𝑥 − 𝑦 = 5 (2) x y 2 =18 𝑥 𝑦 2 = 18

On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers? (1) q + s =24 (2) The average (arithmetic mean) of q and r is 11. Show Spoiler

Three dice, each of which has its 6 sides numbered 1 through 6, are tossed. The sum of the 3 numbers that are facing up is 12. Is at least 1 of these numbers 5? (1) None of the 3 numbers that are facing up is divisible by 3 (2) Of the numbers that are facing up, 2, but not all 3, are equal

If x is a positive integer, is x prime? (1) x has exactly 3 positive divisors. (2) x is a multiple of 4.

On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many kilometers did Bill drive from home to work? (1) Sue drove 10 kilometers from home to work, and the ratio of (distance driven from home to work) (time to drive from home to work) ( 𝑑 𝑖 𝑠 𝑡 𝑎 𝑛 𝑐 𝑒   𝑑 𝑟 𝑖 𝑣 𝑒 𝑛   𝑓 𝑟 𝑜 𝑚   ℎ 𝑜 𝑚 𝑒   𝑡 𝑜   𝑤 𝑜 𝑟 𝑘 ) ( 𝑡 𝑖 𝑚 𝑒   𝑡 𝑜   𝑑 𝑟 𝑖 𝑣 𝑒   𝑓 𝑟 𝑜 𝑚   ℎ 𝑜 𝑚 𝑒   𝑡 𝑜   𝑤 𝑜 𝑟 𝑘 ) was the same for Bill and Sue that day. (2) The ratio of (distance driven from home to work) (time to drive from home to work) ( 𝑑 𝑖 𝑠 𝑡 𝑎 𝑛 𝑐 𝑒   𝑑 𝑟 𝑖 𝑣 𝑒 𝑛   𝑓 𝑟 𝑜 𝑚   ℎ 𝑜 𝑚 𝑒   𝑡 𝑜   𝑤 𝑜 𝑟 𝑘 ) ( 𝑡 𝑖 𝑚 𝑒   𝑡 𝑜   𝑑 𝑟 𝑖 𝑣 𝑒   𝑓 𝑟 𝑜 𝑚   ℎ 𝑜 𝑚 𝑒   𝑡 𝑜   𝑤 𝑜 𝑟 𝑘 ) for Sue that day was 64 kilometers per hour.

If x ≠ 0, is |x| < 1 ? (1) x^2 < 1 (2) |x| < 1/x

A certain company currently has how many employees? (1) If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company (2) If no additional employees are hired by the company and 3 of the present employees resign, there will be fewer than 15 employees in the company Show Spoiler

From May 1, 1960, to May 1, 1975, the closing price of a share of stock X doubled. What was the closing price of a share of stock X on May 1, 1960? (1) From May 1, 1975 to May 1, 1984, the closing price of a share of stock X doubled. (2) From May 1, 1975 to May 1, 1984, the closing price of a share of stock X increased by $4.50

What is Ricky's age now? (1) Ricky is now twice as old as he was exactly 8 years ago. (2) Ricky's sister Teresa is now 3 times as old as Ricky was exactly 8 years ago.

G, P, and S are animal species. What is the average life span, in year, of S ? (1) The average life span of S is twice that of P and 4/5 that of G. (2) The average life span of G is 30 years longer than that of P and 10 years longer than that of S.

In the figure above, what is the area of the circular region with center O ? (1) MN is perpendicular to RS. (2) The area of triangular region OMT is 4. Show Spoiler