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By the way Mike, I followed the link to the Magoosh site and did not see that OA and OE to this question. Dear Marty, I'm sorry --- the BTG system automatically curtailed the URL, and the curtailed URL misdirected readers to another blog. Not the most adept design. I corrected the link in the post ...

by Mike@Magoosh

Mon Dec 22, 2014 5:31 pm
Forum: Problem Solving
Topic: In the diagram above, BD = 5, CD = 10, and AE = 40. What is
Replies: 6
Views: 2925

BDC and AEC are similar triangles. AE is 40 and BD is 5, so the larger triangle is 8 times the area of the smaller one. The area of BDC is 5 x 10/2 = 25 Therefore AEC has area 25 x 8 = 200 200-25 = 175 Answer A Dear Mathsbuddy , My friend, remember that when lengths are scaled up by, say, a scale f...

by Mike@Magoosh

Fri Dec 19, 2014 8:20 am
Forum: Problem Solving
Topic: In the diagram above, BD = 5, CD = 10, and AE = 40. What is
Replies: 6
Views: 2925

In the diagram above, BD = 5, CD = 10, and AE = 40. What is

http://s3.postimg.org/rrgvp2rgf/similar_triangle_diagram.jpg In the diagram above, BD = 5, CD = 10, and AE = 40. What is the area of the shaded region? (A) 175 (B) 350 (C) 775 (D) 1150 (E) 1575 For a set of practice problems on Similar Geometric Figures, as well as the OA & OE for this particul...

by Mike@Magoosh

Thu Dec 18, 2014 2:29 pm
Forum: Problem Solving
Topic: In the diagram above, BD = 5, CD = 10, and AE = 40. What is
Replies: 6
Views: 2925

Points J (3, 1) and K (– 1, – 3) are two vertices of an

Points J (3, 1) and K (– 1, – 3) are two vertices of an isosceles triangle. If L is the third vertex and has a y-coordinate of 6, what is the x-coordinate of L ? (A) –3 (B) –4 (C) –5 (D) –6 (E) –7 For a collection of Coordinate Geometry practice problems, as well as for the OA & O...


The center of circle Q is on the y-axis, and the circle pass

The center of circle Q is on the y-axis, and the circle passes through points (0, 7) and (0, –1). Circle Q intersects the positive x-axis at (p, 0). What is the value of p? (A) 7/3 (B) 4 (C) 5 (D) sqrt(7) (E) sqrt(11) For a set of Coordinate Geometry practice questions, including the OA and an OE...

by Mike@Magoosh

Wed Nov 26, 2014 10:50 am
Forum: Problem Solving
Topic: The center of circle Q is on the y-axis, and the circle pass
Replies: 7
Views: 5123

Cars P & Q are approaching each other on the same highwa

Cars P & Q are approaching each other on the same highway. Car P is moving at 49 mph northbound and Car P is moving at 61 mph southbound. At 2:00 pm, they are approaching each other and 120 mi apart. Eventually they pass each other. At what clock time are they moving away from each other and 45...

by Mike@Magoosh

Fri Nov 21, 2014 4:15 pm
Forum: Problem Solving
Topic: Cars P & Q are approaching each other on the same highwa
Replies: 4
Views: 1886

If 6^A = 2, 6^B = 5, and 6^Q = 15, then express Q in terms o

If 6^A = 2, 6^B = 5, and 6^Q = 15, then express Q in terms of A and/or B. (A) 3B (B) B + 3 (C) 5A + B (D) B^2 - 2B (E) B - A + 1 For the OA & OE of this particular problem, as well as a full set of challenging problems on exponents, see: https://magoosh.com/gmat/2014/challenging-gmat-problems-w...

by Mike@Magoosh

Wed Nov 05, 2014 10:21 am
Forum: Problem Solving
Topic: If 6^A = 2, 6^B = 5, and 6^Q = 15, then express Q in terms o
Replies: 5
Views: 3779

Frank and Georgia started traveling from A to B at the same

Frank and Georgia started traveling from A to B at the same time. Georgia’s constant speed was 1.5 times Frank’s constant speed. When Georgia arrived at B, she turned right around and returned by the same route. She cross paths with Frank, who still was coming toward B, when they were 60 miles ...

by Mike@Magoosh

Tue Oct 28, 2014 9:42 am
Forum: Problem Solving
Topic: Frank and Georgia started traveling from A to B at the same
Replies: 0
Views: 1228

Let S be the set of all positive integers that, when divided

Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 76th number in this set? (A) 605 (B) 608 (C) 613 (D) 616 (E) 621 For a set of practice problems on sequences, as well as the OA & OE of this particular problem, see: https://magoosh.com/gmat/20...

by Mike@Magoosh

Mon Oct 27, 2014 9:23 am
Forum: Problem Solving
Topic: Let S be the set of all positive integers that, when divided
Replies: 4
Views: 2444

There are a total of 400 students at a school, which offers

There are a total of 400 students at a school, which offers a chorus, baseball, and Italian. This year, 120 students are in the chorus, 40 students in both chorus & Italian, 45 students in both chorus & baseball, and 15 students do all three activities. If 220 students are in either Italian...

by Mike@Magoosh

Mon Oct 20, 2014 10:45 am
Forum: Problem Solving
Topic: There are a total of 400 students at a school, which offers
Replies: 3
Views: 2245

1. For what value(s) of k is the following equation satisfied? 2k-9-k = 4k+6-3k" a. -5 b. 0 only c. 5/2 only d. No value e. Any value 2. What is the largest possible value of the following expression (x+2)(3-x)(2+x)^2(x-3)(2x+4) a. -576 b. -24 c. 0 d. 8 e. can’t be determined Dear Md Raihan ...

by Mike@Magoosh

Wed Oct 15, 2014 12:21 pm
Forum: Problem Solving
Topic: Math
Replies: 3
Views: 1650

Hi, Mike Why aren't we doing no 2 in the following way? t^2-1 = 2t-2 or t^2 -1 -2t +2 = 0 So, (t-1)^2=0 Now in this case t=1 is the answer. Why are we putting back the value of t in original question? So far I know, we have to check back equation only in case of Mod. So, why are we doing the same h...

by Mike@Magoosh

Wed Oct 15, 2014 12:13 pm
Forum: Problem Solving
Topic: Finding value from an equation
Replies: 9
Views: 2606

A vendor sells only Product A, for $6, and Product B, for $2

A vendor sells only Product A, for $6, and Product B, for $21. If Q% of the products sold are Product B, and if T% of the total revenue comes from sales of Product B, find Q in terms of T. http://s9.postimg.org/pb3krzbyz/vendor_answer_choices.jpg For the OA & OE, as well as more practice Word P...

by Mike@Magoosh

Wed Oct 01, 2014 9:49 am
Forum: Problem Solving
Topic: A vendor sells only Product A, for $6, and Product B, for $2
Replies: 2
Views: 3059

While the marketing department projected robust sales throug

While the marketing department projected robust sales throughout the summer, typically Allport Corporation’s biggest season, the drought in Midwestern states limited total revenue to only $300 million in the third quarter. (A) typically Allport Corporation’s biggest season, the drought in Midwe...


An importer wants to purchase N high quality cameras from

An importer wants to purchase N high quality cameras from Germany and sell them in Japan. The cost in Germany of each camera is E euros. He will sell them in Japan at Y yen, which will bring in a profit, given that the exchange rate is C yen per euro. Given the exchange rate of D US dollars per eur...

by Mike@Magoosh

Mon Aug 11, 2014 10:34 am
Forum: Problem Solving
Topic: An importer wants to purchase N high quality cameras from
Replies: 3
Views: 1620