Search found 768 matches
If k is an integer, is k prime? Statement #1: k has fewer
If k is a positive integer, is k prime? Statement #1 : k has fewer than four positive factors Statement #2 : 150 ≤ k ≤ 200 For a set of challenging GMAT DS practice problems with solutions, including the OA & OE for this particular question, see: http://magoosh.com/gmat/2015/gmat-data-suffi...
- by Mike@Magoosh
Mon Mar 09, 2015 10:20 am- Forum: Data Sufficiency
- Topic: If k is an integer, is k prime? Statement #1: k has fewer
- Replies: 0
- Views: 1375
Cosimo de’ Medici, a great patron of the arts, sponsoring
Cosimo de’ Medici, a great patron of the arts, sponsoring two of Donatello’s most famous works, statues of David and Judith, while supporting Brunelleschi to complete the dome of the cathedral of Santa Maria del Fiore, which is known to be “Duomo.� (A) Cosimo de’ Medici, a great patron of...
- by Mike@Magoosh
Thu Mar 05, 2015 2:43 pm- Forum: Sentence Correction
- Topic: Cosimo de’ Medici, a great patron of the arts, sponsoring
- Replies: 1
- Views: 1663
In a company of only 20 employees, 10 employees make $80,000
In a company of only 20 employees, 10 employees make $80,000/yr, 6 employees make $150,000/yr, and the 4 highest-paid employees all make the same amount. If the average annual salary for the 20 employees is $175,000/yr, then what is the annual salary of each highest-paid employee? (A) $250,000 (B) ...
- by Mike@Magoosh
Thu Mar 05, 2015 2:35 pm- Forum: Problem Solving
- Topic: In a company of only 20 employees, 10 employees make $80,000
- Replies: 7
- Views: 3423
With all due respect to my esteemed colleague Brent at GMAT Prep Now, I would say that the solution of Mitch, the GMAT Guru of NY, is the most elegant, the solution I recommended in the OE. I would urge ravihanda to study this solution involving proportional placement of the weighted average. Mitch ...
- by Mike@Magoosh
Tue Feb 24, 2015 3:37 pm- Forum: Problem Solving
- Topic: In a certain apartment building, there are one-bedroom and t
- Replies: 8
- Views: 4757
In a certain apartment building, there are one-bedroom and t
In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let R be the average rental price for all apartments ...
- by Mike@Magoosh
Mon Feb 23, 2015 3:50 pm- Forum: Problem Solving
- Topic: In a certain apartment building, there are one-bedroom and t
- Replies: 8
- Views: 4757
Cosimo de’ Medici, a great patron of the arts, sponsoring
Cosimo de’ Medici, a great patron of the arts, sponsoring two of Donatello's most famous works, statues of David and Judith, while supporting Brunelleschi to complete the dome of the cathedral of Santa Maria del Fiore, which is known to be "Duomo." (A) Cosimo de’ Medici, a great patro...
- by Mike@Magoosh
Mon Feb 02, 2015 4:51 pm- Forum: Sentence Correction
- Topic: Cosimo de’ Medici, a great patron of the arts, sponsoring
- Replies: 0
- Views: 1381
Suppose we have six marbles: 3 blue marbles, 2 red marbles,
Suppose we have six marbles: 3 blue marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. The only restriction is that the two red marbles can’t be in the same cup. We could put as many as five (all except one o...
- by Mike@Magoosh
Mon Feb 02, 2015 4:43 pm- Forum: Problem Solving
- Topic: Suppose we have six marbles: 3 blue marbles, 2 red marbles,
- Replies: 1
- Views: 2455
A bag contains ten marbles of the same size: 3 are identical
A bag contains ten marbles of the same size: 3 are identical green marbles, 2 are identical red marbles, and the other 5 are five distinct colors. If 5 marbles are selected at random, how many distinct combinations of five marbles could be drawn? (A) 41 (B) 51 (C) 62 (D) 72 (E) 82 Counting & co...
- by Mike@Magoosh
Thu Jan 29, 2015 10:47 am- Forum: Problem Solving
- Topic: A bag contains ten marbles of the same size: 3 are identical
- Replies: 2
- Views: 2267
A librarian has a set of ten books, including four different
A librarian has a set of ten books, including four different books about Abraham Lincoln. The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six books. How many different arrangements of the ten books are possib...
- by Mike@Magoosh
Tue Jan 20, 2015 10:45 am- Forum: Problem Solving
- Topic: A librarian has a set of ten books, including four different
- Replies: 1
- Views: 1784
Dear utkalnayak,utkalnayak wrote:Ans: E
The way I approached was -
[spoiler]3^32(3^4 - 1)[/spoiler]. Is that okay ?
Superb! Yes, very good!
Mike
- by Mike@Magoosh
Fri Jan 16, 2015 4:39 pm- Forum: Problem Solving
- Topic: 5*(2^4)*(3^32) =
- Replies: 2
- Views: 1633
5*(2^4)*(3^32) =
5*(2^4)*(3^32) = (A) 5(6^36) (B) (10^4)(3^32) (C) (3^34) + (3^32) (D) (3^35) - (3^33) (E) (3^36) - (3^32) For a collection of challenging problems on Exponents and Roots, as well as for the OA & OE of this particular problem, see: http://magoosh.com/gmat/2014/challenging-gmat-problems-with-expo...
- by Mike@Magoosh
Fri Jan 16, 2015 10:38 am- Forum: Problem Solving
- Topic: 5*(2^4)*(3^32) =
- Replies: 2
- Views: 1633
Cars A and B are traveling from Town X to Town Y on the same
Cars A and B are traveling from Town X to Town Y on the same route at constant speeds. Car A is initially behind Car B, and Car A’s speed is 1.25 times Car B’s speed. Car A passes Car B at 1:30 pm. At 3:15 pm, Car A reaches Town Y, and at that moment, Car B is still 35 miles away from Town Y. W...
- by Mike@Magoosh
Fri Jan 09, 2015 2:43 pm- Forum: Problem Solving
- Topic: Cars A and B are traveling from Town X to Town Y on the same
- Replies: 2
- Views: 1811
Rank the following quantities in order, from smallest to big
Rank the following quantities in order, from smallest to biggest. I. 2^120 II. 3^72 III. 17^30 (A) I, II, III (B) I, III, II (C) II, I, III (D) III, I, II (E) III, II, I For a set of challenging problems on powers & exponents & roots, as well as the OA & OE of this particular problem, s...
- by Mike@Magoosh
Mon Jan 05, 2015 2:52 pm- Forum: Problem Solving
- Topic: Rank the following quantities in order, from smallest to big
- Replies: 0
- Views: 1427
Before January, the price of a dress was D and the price of
Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amou...
- by Mike@Magoosh
Wed Dec 31, 2014 10:52 am- Forum: Problem Solving
- Topic: Before January, the price of a dress was D and the price of
- Replies: 2
- Views: 1640
Here's an easier visual. The key idea is to call some angle x°, then to find the other angles in terms of x (as shown). Once you do, you'll see the triangle similarity and be set. Matt, (1) Don't you think it's more powerful to teach students the incredible shortcut of AA similarity , rather than ...
- by Mike@Magoosh
Mon Dec 22, 2014 5:37 pm- Forum: Problem Solving
- Topic: In the diagram above, BD = 5, CD = 10, and AE = 40. What is
- Replies: 6
- Views: 2921