Data Sufficiency

The range of the numbers in set S is x, and the range of the numbers in set T is y. If all of the numbers in set T are also in set S, is x greater than y? (1) Set S consists of 7 numbers. (2) Set T consists of 6 numbers.

k, n, 12, 6, 17 What is the value of n in the list above? (1) k < n (2) The median of the numbers in the list is 10.

For which type of investment, J or K, is the annual rate of return greater? (1) Type J returns $115per$1,000 invested for any one-year period and type K returns $300per$2,500 invested for any one-year period. (2) The annual rate of return for an investment of type K is 12 percent.

In Mr. Smith's class, what is the ratio of the number of boys to the number of girls? (1) There are 3 times as many girls as boys in Mr. Smith's class. (2) The number of boys is 1/4 of the total number of boys and girls in Mr. Smith's class.

After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence? (1) The sum of the first 3 terms in the sequence is 6. (2) The fourth term in the sequence is 6.

If x and y are positive, is x < 10 < y? (1) x < y and xy = 100 (2) x^2 < 100 < y^2

If x is an integer, is 9 x + 9 − x = b 9 x + 9 − x = b ? (1) 3 x + 3 − x = b + 2 − − − − √ 3 x + 3 − x = b + 2 (2) x > 0

What is the value of (2t + t - x)/(t - x)? (1) 2t/(t - x) = 3 (2) t - x = 5

If x is an integer greater than 0, what is the remainder when x is divided by 4 ? (1) The remainder is 3 when x + 1 is divided by 4. (2) The remainder is 0 when 2x is divided by 4.

If k is an integer such that 56 < k < 66, what is the value of k ? (1) If k were divided by 2, the remainder would be 1. (2) If k + 1 were divided by 3, the remainder would be 0.

What is the remainder when the positive integer n is divided by 5 ? (1) When n is divided by 3, the quotient is 4 and the remainder is 1. (2) When n is divided by 4, the remainder is 1.

If n is a positive integer, what is the tens digit of n ? (1) The hundreds digit of 10n is 6. (2) The tens digit of n + 1 is 7.

If d denotes a decimal, is d ≥ 0.5 d ≥ 0.5 ? (1) When d is rounded to the nearest tenth, the result is 0.5. (2) When d is rounded to the nearest integer, the result is 1.

Is the integer x a 3-digit integer? (1) x is the square of an integer. (2) 90 < x < 150

If xy ≠ 0, is x^3 + y^3 > 0 ? (1) x + y > 0 (2) xy > 0

If x and y are integers, is x > y? (1) x + y > 0 (2) y^x < 0

If n is a positive integer and k = 5.1 * 10 n k = 5.1 * 10 n , what is the value of k? (1) 6 , 000 < k < 500 , 000 6 , 000 < k < 500 , 000 (2) k 2 = 2.601 * 10 9 k 2 = 2.601 * 10 9

What is the value of x + y in the figure above? (1) w= 95 (2) z = 125

In the figure above, PQR and STU are identical equilateral triangles, and PQ = 6. What is the perimeter of polygon PQWTUVR? (1) Triangle SWV has perimeter 9. (2) VW has length 3.5.

In the parallelogram shown, what is the value of x? (1) y = 2x (2) x + z = 120