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remainder and min max

x, y and z are positive integers such that when x is divided by y the remainder is 3 and when y is divided by z the remainder is 8. What is the smallest possible value of x+y+z?
A. 12
B. 20
C. 24
D. 29
E. 33

[spoiler]OA:B[/spoiler]

by buoyant

Mon Jan 19, 2015 12:30 pm
Forum: Problem Solving
Topic: remainder and min max
Replies: 4
Views: 7495

mixture problem2

If 12 ounces of a strong vinegar solution are diluted with 50 ounces of water to form a three-percent vinegar solution, what was the concentration of the original solution?
A) 19.3%
B) 17%
C) 16.67%
D) 15.5%
E) 12.5%

[spoiler]OA: D[/spoiler]

by buoyant

Sun Jan 18, 2015 12:46 pm
Forum: Problem Solving
Topic: mixture problem2
Replies: 5
Views: 4100

what i don't understand is that we took the fraction of GOLD in the alligation method, but ended up with the ratios of two MIXTURES. does that mean we are talking about the % or fraction of gold in total amount of mixture and therefore, the ratio we got represents the parts of each bar in the final ...

by buoyant

Sun Jan 18, 2015 12:39 pm
Forum: Problem Solving
Topic: mixture problem
Replies: 6
Views: 2253

mixture problem

How to solve this problem using alligation method? There are two bars of gold-silver alloy. The first bar has 2 parts of gold and 3 parts of silver, and the other has 3 parts of gold and 7 parts of silver. If both bars are melted into an 8 kg bar with the final ratio of 5:11 (gold to silver), what w...

by buoyant

Sat Jan 17, 2015 8:03 pm
Forum: Problem Solving
Topic: mixture problem
Replies: 6
Views: 2253

percent

After M students took a test, there was a total of 64% of correct answers. If the test contains 50 questions, what is the least number of questions that the next student have to get right to bring the total of correct answers to 70% ? A) 3M + 20 B) 3M + 35 C) 4M + 15 D) 4M + 20 E) 4M + 45 [spoiler]O...

by buoyant

Wed Jan 14, 2015 5:48 pm
Forum: Problem Solving
Topic: percent
Replies: 4
Views: 2038

The length of the median BD in triangle ABC is 12 centimeters, what is the length of side AC? (1) ABC is an isosceles triangle (2) AC² = AB² + BC² This problem seems beyond the scope of the GMAT. The MEDIAN of a triangle is a line drawn from a vertex to the MIDPOINT of the opposite side. Stateme...

by buoyant

Sun Jan 11, 2015 12:18 pm
Forum: Data Sufficiency
Topic: median in triangle
Replies: 6
Views: 6683

median in triangle

The length of the median BD in triangle ABC is 12 centimeters, what is the length of side AC?

(1) ABC is an isosceles triangle
(2) AC^2 = AB^2 + BC^2

[spoiler]OA: B[/spoiler]

source: Gmatclub Maths Tests

by buoyant

Sat Jan 10, 2015 8:22 pm
Forum: Data Sufficiency
Topic: median in triangle
Replies: 6
Views: 6683

tricky fraction

After 2/9 of the numbers in a data set A were observed, it turned out that 3/4 of those numbers were non-negative. What fraction of the remaining numbers in set A must be negative so that the total ratio of negative numbers to non-negative numbers be 2 to 1? a)11/14 b)13/18 c)4/7 d)3/7 e)3/14 [spoil...

by buoyant

Fri Jan 02, 2015 12:25 pm
Forum: Problem Solving
Topic: tricky fraction
Replies: 4
Views: 3351

tricky remainder

If x and y are both positive integers and x>y , what is the remainder when x is divided by y ?

(1) y is a two-digit prime number.

(2) x= qy+9 , for some positive integer q

[spoiler]OA: C[/spoiler]

by buoyant

Sun Dec 28, 2014 7:07 pm
Forum: Data Sufficiency
Topic: tricky remainder
Replies: 2
Views: 2983

remainder

If k is an even integer, what is the remainder when k is divided
by 10 ?
(1) The remainder when k is divided by 5 is equal to the
remainder when k is divided by 10.
(2) The remainder is greater than 3.

[spoiler]OA:C[/spoiler]

by buoyant

Thu Dec 25, 2014 8:02 pm
Forum: Data Sufficiency
Topic: remainder
Replies: 3
Views: 3113

mean median

For a certain set of n numbers, where n > 2, is the average (arithmetic mean) equal to the median? (1) The n numbers are positive, consecutive even integers. (2) The average of the n numbers is equal to the average of the largest and smallest numbers in the set. [spoiler]OA:A[/spoiler] [spoiler] why...

by buoyant

Thu Dec 25, 2014 7:36 pm
Forum: Data Sufficiency
Topic: mean median
Replies: 3
Views: 4460

matrix table method

35 percent of the books in Richard's collection are novels and 60 percent of the books are paperbacks. If 20 percent of the paperbacks in Richard's collection are novels published before 1940, how many of the paperbacks in Richard's collection are novels published before 1940. (1) Non-Â…fiction book...

by buoyant

Thu Dec 25, 2014 6:09 pm
Forum: Data Sufficiency
Topic: matrix table method
Replies: 1
Views: 1349

overlapping set

Of the 200 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 40 percent of the employees prefer City Y and 60 percent prefer City X. What is the highest possible number of employees who will be relocated to the c...

by buoyant

Thu Dec 25, 2014 12:14 pm
Forum: Problem Solving
Topic: overlapping set
Replies: 1
Views: 1321

Buoyant, your analysis is interesting. Possibly even more interesting is what this entire discussion illustrates, which is that GMAT quant is at least as much about logic as it is about math. Surely wasn't any complex math and weren't any arcane concepts on this question, and one can still get smok...

by buoyant

Sun Dec 21, 2014 8:09 am
Forum: Problem Solving
Topic: tricky ratio
Replies: 6
Views: 3334

The ratio of flour to water to sugar in a recipe is 7:4:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar.If the new recipe calls for 8 cups of water, how much sugar is required? a)4 cups b)6 cups c...

by buoyant

Sun Dec 21, 2014 6:16 am
Forum: Problem Solving
Topic: tricky ratio
Replies: 6
Views: 3334