Search found 72 matches
height of tree
When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each...
- by josh80
Wed Dec 11, 2013 5:20 pm- Forum: Problem Solving
- Topic: height of tree
- Replies: 5
- Views: 4024
Percent, speed distance time
During a 40 mile trip, Marla traveled at an average speed of x mph for the first y miles of the trip and at an average speed of 1.25x mph for the last 40-y miles of the trip. The time that Marla took to travel the 40 miles was what % of the time it would have taken her if she had traveled at an aver...
- by josh80
Wed Dec 11, 2013 5:14 pm- Forum: Data Sufficiency
- Topic: Percent, speed distance time
- Replies: 2
- Views: 1287
- by josh80
Wed Dec 11, 2013 5:11 pm- Forum: Data Sufficiency
- Topic: x > 0?
- Replies: 3
- Views: 1277
- by josh80
Wed Dec 11, 2013 5:10 pm- Forum: Data Sufficiency
- Topic: x and y > 0?
- Replies: 2
- Views: 988
best way to solve this symbolism?
If the operation # is defined for all integers a and b by a#b = a+b-ab, which of the following statements must be true for all integers a, b and c?
I. a#b = b#a
II. a#0 = a
III. (a#b)#c = a#(b#c)
- I only
- II only
- I and II only
- I and III only
- I, II and III only
- by josh80
Wed Dec 11, 2013 5:07 pm- Forum: Problem Solving
- Topic: best way to solve this symbolism?
- Replies: 1
- Views: 1163
sum of the squares?
The number 75 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?
- 17
- 16
- 15
- 14
- 13
- by josh80
Wed Dec 11, 2013 5:01 pm- Forum: Problem Solving
- Topic: sum of the squares?
- Replies: 1
- Views: 1202
xy-plane
In the xy-plane, what is the y-intercept of line l?
1) the slope of line l is 3 times its y-intercept
2) the x-intercept of line l is -(1/3)
- by josh80
Wed Dec 11, 2013 4:55 pm- Forum: Data Sufficiency
- Topic: xy-plane
- Replies: 1
- Views: 1298
Probability and Algebra
If two of the four expressions x + y, x + 5y, x-y, and 5x-y are chosen at random, what is the probability that their product will be of the form x^2 - (by)^2, where b is an integer?
- 1/2
- 1/3
- 1/4
- 1/5
- 1/6
- by josh80
Wed Dec 11, 2013 4:49 pm- Forum: Problem Solving
- Topic: Probability and Algebra
- Replies: 1
- Views: 1071
Greatest Common Divisor
What is the greatest common divisor of positive integers m and n?
1) m is a prime number
2) 2n = 7m
- by josh80
Wed Dec 11, 2013 4:26 pm- Forum: Data Sufficiency
- Topic: Greatest Common Divisor
- Replies: 1
- Views: 2943
Wire split into circle and square
A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius r, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and square regions in terms of r? A. πr^2 B...
- by josh80
Wed Dec 11, 2013 4:24 pm- Forum: Problem Solving
- Topic: Wire split into circle and square
- Replies: 5
- Views: 3456
Inequality
If x > y^2 > z^4, which of the following statements could be true?
I. x > y > z
II. z > y > x
III. x > z > y
- by josh80
Wed Dec 11, 2013 4:10 pm- Forum: Problem Solving
- Topic: Inequality
- Replies: 1
- Views: 1036
- by josh80
Wed Dec 11, 2013 4:02 pm- Forum: Data Sufficiency
- Topic: Inequality
- Replies: 2
- Views: 1208
Greatest prime factor
If n and t are positive integers, what is the greatest prime factor of the product nt?
1) the greatest common factor of n and t is 5
2) the least common multiple of n and t is 105
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- by josh80
Wed Dec 11, 2013 3:58 pm- Forum: Data Sufficiency
- Topic: Greatest prime factor
- Replies: 2
- Views: 1180
Greatest Common Divisor - MGMAT CAT 3
If x and y are positive integers, which of the following CANNOT be the greatest common divisor of 35x and 20y?
5
5(x – y)
20x
20y
35x
- by josh80
Tue Dec 10, 2013 6:29 am- Forum: Problem Solving
- Topic: Greatest Common Divisor - MGMAT CAT 3
- Replies: 2
- Views: 2091
Rubik's cube - MGMAT CAT 3
The entire exterior of a large wooden cube is painted red, and then the cube is sliced into n3 smaller cubes (where n > 2). Each of the smaller cubes is identical. In terms of n, how many of these smaller cubes have been painted red on at least one of their faces? 6n2 6n2 – 12n + 8 6n2 – 16n + 2...
- by josh80
Tue Dec 10, 2013 6:26 am- Forum: Problem Solving
- Topic: Rubik's cube - MGMAT CAT 3
- Replies: 1
- Views: 2841