Data Sufficiency

Marcia's bucket can hold a maximum of how many liters of water? (1) The bucket currently contains 9 liters of water. (2) If 3 liters of water are added to the bucket when it is half full of water, the amount of water in the bucket will increase by 1/3.

Is the positive square root of x an integer? (1) x = n^4 and n is an integer (2) x = 16 Show Spoiler

A raincoat and an umbrella cost a total of $53.50. What is the cost of the raincoat? (1) If the cost of the raincoat were to increase by 10 percent, the raincoat and the umbrella would cost a total of $58.00. (2) The cost of the raincoat is $2.50 more than 5 times the cost of the umbrella.

At Larry's Auto Supply Store, Brand X antifreeze is sold by the gallon and Brand Y motor oil is sold by the quart. Excluding sales tax, what is the total cost for 1 gallon of Brand X antifreeze and 1 quart of Brand Y motor oil? (1) Excluding sales tax, the total cost for 6 gallons of Brand X antifreeze and 10 quarts of Brand Y motor oil is $58. (There is no quantity discount.) (2) Excluding sales tax, the total cost for 4 gallons of Brand X antifreeze and 12 quarts of Brand Y motor oil is $44. (There is no quantity discount.)

If n is a member of the set {33, 36, 38, 39, 41, 42}, what is the value of n? (1) n is even (2) n is a multiple of 3 DS14015 SOLUTION: Show Spoiler

A certain high school with a total enrollment of 900 students held a science fair for three days last week. How many of the students enrolled in the high school attended the science fair on all three days? (1) Of the students enrolled in the school, 30 percent attended the science fair on two or more days. (2) Of the students enrolled in the school, 10 percent of those that attended the science fair on at least one day attended on all three days.­ Show Spoiler ­

The annual rainfall in a city over the past 50 years is its historical average rainfall (HAR). The graph above shows the annual rainfall in City X over a seven-year period. All figures are rounded to the nearest integer. Is it true that the rounded HAR for City X is 47 mm or greater? (1) In the seven-year period in City X, the annual rainfall was greater than the HAR in exactly two of the consecutive years. (2) In the seven-year period in City X, the annual rainfall was less than the HAR in exactly four of the years.

What is the value of x? (1) 2x + 3y = 12 (2) 5x + 7y = 29

Each M-type unit will increase the base memory capacity of a certain computer by 3 megabytes. What is the base memory capacity, in megabytes, of the computer? (1) 2 M-type memory units will increase the computer’s base memory by 300 percent. (2) The memory capacity of the computer after 2 M-type memory units are added to the base memory capacity is 1.6 times the memory capacity after 1 M-type memory unit is added to the base memory capacity.

If a grocery shopper received $0.25 off the original price of a certain product by using a coupon, what was the original price of the product? (1) The shopper received a 20 percent discount by using the coupon. (2) The original price was 25 percent higher than the price the shopper paid by using the coupon.

If l and w represent the length and width, respectively, of the rectangle above, what is the perimeter? (1) 2l + w = 40 (2) l + w= 25 Show Spoiler

In the triangle above, does a^2 + b^2 = c^2 ? (1) x + y = 90 (2) x = y Show Spoiler

If the successive tick marks shown on the number line above are equally spaced and if x and y are the numbers designating the end points of intervals as shown, what is the value of y? (1) x = 1/2 (2) y - x = 2/3 Show Spoiler

What is the value of x^2 + 2xy + y^2 ? (1) x + y = 7 (2) x = 2

If x is an integer, is x|x| < 2^x? (1) x < 0 (2) x = -10

What is the value of x? (1) 2x+1=0 2 𝑥 + 1 = 0 (2) (x+1 ) 2 = x 2 ( 𝑥 + 1 ) 2 = 𝑥 2

What is the probability that events A and B both occur? (1) The probability that event A occurs is 0.8. (2) The probability that event B occurs is 0.6.

Each of the n employees at a certain company has a different annual salary. What is the median of the annual salaries of the n employees? (1) When the annual salaries of the n employees are listed in increasing order, the median is the 15th salary. (2) The sum of the annual salaries of the n employees is $913,500.

Does x = y? (1) |x| = |y| (2) x^2 = y^2

If xyz ≠ 0, what is the value of $\frac{x^4{z}^2}{z^2{y}^2}$ ? (1) y^2 = x^4 (2) x = 2 and y = 4 DS41602.01 OG2020 NEW QUESTION