GMAT
What is the sum of the first four terms of sequence S?(1) After the first two terms of S, the value of each term of S is equal to the average (arithmetic mean) of the last two preceding terms.(2) The average (arithmetic mean) of the first three terms of S is 10.
In a certain order, the pretax price of each regular pencil was $0.03, the pretax price of each deluxe pencil was $0.05, and there were 50% more deluxe pencil than regular pencils. All taxes on the order are a fixed percent of the pretax price. The sum of the total pretax price of the order and the tax on the order was $44.10. What was the amount, in dollars, of the tax on the order?(1) The tax on the order was 5% of the total pretax price of the order.(2) The order contained exactly 400 regular pencils.
If m is an integer greater than 1, is m an even integer?(1) 32 is a factor of m.(2) m is a factor of 32.
If p, s, and t are positive, is |ps - pt| > p(s - t)?(1) p < s(2) s < t
If y = $$x^{2} - 6x + 9$$, what is the value of x?(1) y = 0(2) x + y = 3
In the figure shown, quadrilateral ABCD is inscribed in a circle of radius 5. What is the perimeter of quadrilateral ABCD?(1) The length of AB is 6 and the length of CD is 8.(2) AC is a diameter of the circle.
If $$rs\neq 0$$, is $$ \frac{1}{r} + \frac{1}{s} = 4$$(1) r + s = 4rs(2) r = s
If a, b, c, and d are numbers on the number line shown and if the tick marks are equally spaced, what is the value of a + c?(1) a + b =-8(2) a +d = 0
Is the median of the five numbers a, b, c, d, and e equal to d?(1) a < c < e(2) b < d < c
During a certain bicycle ride, was Sherry's average speed faster than 24 kilometers per hour?( 1 kilometer = 1,000 meters)(1) Sherry's average speed during the bicycle ride was faster than 7 meters per second.(2) Sherry's average speed during the bicycle ride was slower than 8 meters per second.
Is the integer n a prime number?(1) $$24 \le n \le 28$$(2) n is not divisible by 2 or 3.
The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?(1)Each of the k employees who shared the cost of the dinner paid $19.(2)If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.
Is x > y?(1) x + y > x - y(2) 3x > 2y
Which of the positive numbers x or y is greater?(1) y = 2x (2) 2x + 5y =12
What is the volume of the cube above?(1)The surface area of the cube is 600 square inches.(2)The length of diagonal AB is $${10}\sqrt3$$ inches.
A total of 20 amounts are entered on a spreadsheet that has 5 rows and 4 columns; each of the 20 positions in the spreadsheet contains one amount. The average (arithmetic mean) of the amounts in row i is $${R}_{i}$$ $$(1 \leq i \leq 5)$$. The average of the amounts in column j is Cj $$(1 \leq j \leq 4)$$. What is the average of all 20 amounts on the spreadsheet?(1) $${R}_{1}+{R}_{2}+{R}_{3}+{R}_{4}+{R}_{5}={550}$$(2) $${C}_{1}+{C}_{2}+{C}_{3}+{C}_{4}={440}$$
If the set S consists of five consecutive positive integers, what is the sum of these five integers?(1) The integer 11 is in S , but 10 is not in S.(2) The sum of the even integers in S is 26.
What is the value of x?(1) x + 1 = 2 - 3x(2) $$\frac{1}{2x} = 2$$
Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y ?(1) There are 80 more Brand X computers than Brand Y computers at the company.(2) There is a total of 880 computers at the company.
If a and b are constants, what is the value of a?(1) a < b(2) (t - a )(t - b ) = $$t^{2} + t - 12$$, for all values of t