Data Sufficiency

What amount did Jean earn from the commission on her sales in the first half of 1988 ? (1) In 1988 Jean's commission was 5 percent of the total amount of her sales. (2) The amount of Jean's sales in the second half of 1988 averaged $10,000 per month more than in the first half.

Rectangle ABCD is inscribed in a circle as shown above. What is the radius of the circle? (1) The length of the rectangle is √3 and the width of the rectangle is 1. (2) The length of arc AB is 1/3 of the circumference of the circle. Show Spoiler

If a, b, and c are integers, is a - b + c greater than a + b - c? (1) b is negative (2) c is positive

If Q is an integer between 10 and 100, what is the value of Q? (1) One of Q's digits is 3 more than the other, and the sum of its digits is 9. (2) Q < 50

In Year X, 8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year? (1) In May of Year X, the number of unemployed men in the labor force was 3.36 million. (2) In Year X, 120,000 more men in the labor force were unemployed in June than in May.­ ID: 700114

Four dollar amounts w,x ,y, and z, were invested in a business. Which amount was greatest? (1) y < z < x (2) x was 25 percent of the total of the four investments.

If a 1 𝑎 1 , a 2 𝑎 2 , a 3 𝑎 3 , ..., a n 𝑎 𝑛 , ... is a sequence such that a n =2n 𝑎 𝑛 = 2 𝑛 for all n≥1 𝑛 ≥ 1 , is a i 𝑎 𝑖 greater than a j 𝑎 𝑗 ? (1) i is odd and j is even. (2) i 2 > j 2 𝑖 2 > 𝑗 2 DS21226

A citrus fruit grower receives $15foreachcrateoforangesshippedand$18 for each crate of grapefruit shipped. How many crates of oranges did the grower ship last week? (1) Last week the number of crates of oranges that the grower shipped was 20 more than twice the number of crates of grapefruit shipped. (2) Last week the grower received a total of $38,700 from the crates of oranges and grapefruit shipped.

If Fran jumps straight up off the floor and lands on her feet T seconds later, her feet will reach a maximum height of 1.22T^2 meters above the floor. On one such jump, was Fran off the floor for less than 1 second? (1) On her jump Fran’s feet reached a maximum height of 1 meter above the floor (2) On her jump Fran spent more than 1/4 second ascending

Is a = 0? (1) ab = 0 (2) a 2 =0 𝑎 2 = 0

If x and y are nonzero integers, is x/y an integer? (1) x is the product of 2 and some other integer. (2) There is only one pair of positive integers whose product equals y.

Bowls X and Y each contained exactly 2 jelly beans, each of which was either red or black. One of the jelly beans in bowl X was exchanged with one of the jelly beans in bowl Y. After the exchange, were both of the jelly beans in bowl X black? (1) Before the exchange, bowl X contained 2 black jelly beans. (2) After the exchange, bowl Y contained 1 jelly bean of each color. DS16402.01

If x + 2y + 1 = y - x, what is the value of x? (1) y2 = 9 (2) y = 3

If digit h is the hudredths' digit in the decimal d=0.2h6, what is the value of d, rounded to the nearest tenth? (1) d < 1/4 (2) h < 5

If the average (arithmetic mean) of 4 numbers is 50, how many of the numbers are greater than 50 ? (1) None of the four numbers is equal to 50. (2) Two of the numbers are equal to 25.

If the measures of the three interior angles of a triangle are y°, 15x°, and 18x°, what is the value of y ? (1) x =5 (2) 15x + y = 90

What was the average (arithmetic mean) monthly rainfall during 1984 in region Y? (1) In region Y the total rainfall for the first 6 months of 1984 was twice the total rainfall for the last 6 months of 1984. (2) In region Y the average monthly rainfall for the first 6 months of 1984 was 2.31 inches more than the average monthly rainfall for the last 6 months of 1984.

In the figure above, what is the length of AC ? (1) x + y = 13 (2) xy = 36 Show Spoiler

If [x] denotes the greatest integer less than or equal to x, is [x] = 0 ? (1) 5x + 1 = 3 + 2x (2) 0 < x < 1 Show Spoiler

For a basic monthly fee of F yen, Noako's first cell phone allowed him to use a maximum of 420 minutes on calls during the month. Then, for each of x additional minutes he used on calls, he was charged M yen, making his total charge for the month T yen, where T = F + xM. What is the value of F? (1) Naoko used 450 minutes on calls the first month and the total charge for the month was 13,755 yen (2) Naoko used 400 minutes on calls the second month and the total charge for the month was 13,125 yen ID: