Data Sufficiency

The students in College X must take two, and no more, of these five subjects: computing, electronics, mechanics, architecture, and psychology. Students who take computing cannot take psychology. Students who take electronics cannot take architecture. Students who take mechanics cannot take electronics. Is Student G, a student at College X, taking psychology? (1) Student G is taking architecture as one of her two subjects. (2) Student G is taking neither electronics nor computing.

If x ≠ −1, which is greater, 1 (x+1) or x 2 ? (1) or x 2 ? (1) x ≥ 0 (2) x < 3

If x and y are consecutive odd integers, what is the sum of x and y? (1) The product of x and y is negative. (2) One of the integers is equal to –1.

Pam and Ed are in a line to purchase tickets. How many people are in the line? (1) There are 20 people behind Pam and 20 people in front of Ed. (2) There are 5 people between Pam and Ed.

If x≠1 𝑥 ≠ 1 , is y equal to x+1 𝑥 + 1 ? (1) y−2 x−1 =1 𝑦 − 2 𝑥 − 1 = 1 (2) y 2 =(x+1 ) 2 𝑦 2 = ( 𝑥 + 1 ) 2 DS67602.01

How many integers n are there such that r < n < s ? (1) s - r = 5 (2) r and s are not integers.

Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 24, 0.82, and 5.096 are three terminating decimals. If r and s are positive integers and the ratio r/s is expressed as a decimal, is r/s a terminating decimal? (1) 90 < r < 100 (2) s = 4

If x, y, and n are positive integers, is ( x y )n greater than 1,000 ? (1) x=y3 and n>y. (2) x>5y and n>x.

Point (x, y) has in which quadrant of the rectangular coordinate system shown above ? (1) x + y < 0 (2) x = 1 and y = -7 Show Spoiler

If xy > 0, does (x - 1)(y - 1) = 1? (1) (y - 1) = 1? (1) x + y = xy (2) x = y

A number of people each wrote down one of the first 30 positive integers. Were any of the integers written down by more than one of the people? (1) The number of people who wrote down an integer was greater than 40. (2) The number of people who wrote down an integer was less than 70.

In a recent town election, what was the ratio of the number of votes in favor of a certain proposal to the number of votes against the proposal? (1) There were 60 more votes in favor of the proposal than against the proposal. (2) There were 240 votes in favor of the proposal.

The table shows the sales forecast from January to June of last year, by the sales team of Company X, for the number of units of Product Z each month. Was the actual number of units of Product Z sold in March less than the number sold in April? (1) Twelve units of Product Z were sold in March. (2) From January through June of last year, there was a constant, linear relationship between the forecast and actual number of units of Product Z sold.

On Jane's credit card account, the average daily balance for 30-day billing cycle is the average (arithmetic mean) of the daily balances at the end of each of the 30 days. At the beginning of a certain 30-day billing cycle, Jane's credit card account had a balance of $600.Janemadeapaymentof$300 on the account during the billing cycle. If no other amounts were added to or subtracted from the account during the billing cycle, what was the average daily balance on Jane's account for the billing cycle? (1) Jane's payment was credited on the 21st day of the billing cycle. (2) The average daily balance through the 25th day of the billing cycle was $540.

A candy shop owner must mix three types of sweeteners—A, B, and C—in a certain ratio to get the desired mixture in his candies. What is the ratio of the weights of Sweetener A to Sweetener B to Sweetener C in the final mixture? (1) Sweeteners A, B, and C cost $40,$50, and $60perpound.Theaverage(arithmeticmean)costofthefinalmixtureis$50 per pound. (2) In the final mixture, the average (arithmetic mean) price of Sweeteners A and B together is $45,andtheaverage(arithmeticmean)priceofSweetenersBandCtogetheris$55.

Is the sum of the prices of the 3 books that Shana bought less than $48 ? (1) The price of the most expensive of the 3 books that Shana bought is less than $17. (2) The price of the least expensive of the 3 books that Shana bought is exactly $3 less than the price of the second most expensive book.

Three houses are being sold through a real estate agent. What is the asking price for the house with the second-largest asking price? (1) The difference between the greatest and the least asking price is $130,000. (2) The difference between the two greater asking prices is $85,000. Source: [OG 2016]

Workers A, B, and C, working at their individual constant rates, can work together and complete a piece of work in 6 days. How long will it take for B and C alone to complete the work? (1) A is twice as efficient as B. B is three times as efficient as C. (2) The time taken by A to do 9 units of work is the same as the time taken by B and C together to do 6 units of work.

Train A started from Station X toward Station Y traveling at a constant speed, and on the same day, on a parallel track, Train B started from Station Y toward Station X at a constant speed. At what time did Train A reach Station Y? (1) The two trains met at 3:00 p.m. The distance traveled by Train A was twice the distance traveled by Train B by the time they met. (2) The ratio between the speeds of Trains A and B is 3:5. Train B started from Station Y at 6:00 a.m.

The cost of 10 pounds of apples and 2 pounds of grapes was $12. What was the cost per pound of apples? (1) The cost per pound of grapes was $2. (2) The cost of 2 pounds of apples was less than the cost of 1 pound of grapes.