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While driving from Corvallis to Portland, Matt obeys the spe

While driving from Corvallis to Portland, Matt obeys the speed limit. Matt’s friend Vadim likes to drive faster than the speed limit and believes that he could leave well after Matt and still reach Portland first. The distance from Corvallis to Portland is 81 miles and both Matt and Vadim travel t...

by hazelnut01

Sun May 14, 2017 3:28 pm
Forum: Problem Solving
Topic: While driving from Corvallis to Portland, Matt obeys the spe
Replies: 3
Views: 1355

Is x^2 > y^2? (1) x > y (2) x > 0

Is x^2 > y^2?

(1) x > y
(2) x > 0

Source : Manhattan
OA=E

by hazelnut01

Sun May 14, 2017 1:02 am
Forum: Data Sufficiency
Topic: Is x^2 > y^2? (1) x > y (2) x > 0
Replies: 2
Views: 1881

Jerome's refrigerator contains 4 cans of cola, 4 cans of roo

Jerome's refrigerator contains 4 cans of cola, 4 cans of root beer, and 4 cans of ginger ale. If Jerome were to randomly pull two cans out of his refrigerator, what is the probability that he would pull out one can of cola and one can of root beer?

A. 1/11

B. 1/9

C. 2/11

D. 3/11

E. 1/3

by hazelnut01

Sat May 13, 2017 7:29 pm
Forum: Problem Solving
Topic: Jerome's refrigerator contains 4 cans of cola, 4 cans of roo
Replies: 2
Views: 1260

John has been saving $x annually since 3 years ago, and the

John has been saving $x annually since 3 years ago, and the interest rate for his savings increased r% annually. After saving the money for 3 years as such, he withdrew all the money in the account and spent it all in one year. If he spent a constant amount per each month, how much money did he spen...

by hazelnut01

Sat May 13, 2017 5:51 pm
Forum: Problem Solving
Topic: John has been saving $x annually since 3 years ago, and the
Replies: 3
Views: 1415

What is the greatest prime factor of 42^2+75^2+6300 ? (A) 3

What is the greatest prime factor of 42^2+75^2+6300 ?

(A) 3
(B) 7
(C) 11
(D) 13
(E) 79

OA=D

by hazelnut01

Fri May 12, 2017 12:10 am
Forum: Problem Solving
Topic: What is the greatest prime factor of 42^2+75^2+6300 ? (A) 3
Replies: 2
Views: 1306

If F is the prime factorization of N!, how many factors in F

If F is the prime factorization of N!, how many factors in F have an exponent of 1?

(1) 30 ≤ N ≤ 40

(2) 25 ≤ N ≤ 35

Source : Magoosh
OA=E

by hazelnut01

Thu May 11, 2017 11:42 pm
Forum: Data Sufficiency
Topic: If F is the prime factorization of N!, how many factors in F
Replies: 1
Views: 1571

If k is a positive integer, how many unique prime factors do

If k is a positive integer, how many unique prime factors does 14k have ?

(1) k^4 is divisible by 100
(2) 50*k has 2 prime factors

OA=C

by hazelnut01

Thu May 11, 2017 11:26 pm
Forum: Data Sufficiency
Topic: If k is a positive integer, how many unique prime factors do
Replies: 3
Views: 1519

(1/21)+(1/22)+(1/23)+(1/24)+(1/25)+(1/26)+(1/27)+(1/28)+(1/2

If a=(1/21)+(1/22)+(1/23)+(1/24)+(1/25)+(1/26)+(1/27)+(1/28)+(1/29)+(1/30). What is the value of a?

(A) 0.15 < a < 0.25
(B) 0.25 < a < 0.35
(C) 0.35 < a < 0.45
(D) 0.45 < a < 0.55
(E) 0.55 < a < 0.65

OA=C

by hazelnut01

Thu May 11, 2017 10:52 pm
Forum: Problem Solving
Topic: (1/21)+(1/22)+(1/23)+(1/24)+(1/25)+(1/26)+(1/27)+(1/28)+(1/2
Replies: 2
Views: 3963

How many prime factors does positive integer n have? (1) n/7

How many prime factors does positive integer n have?

(1) n/7 has only one prime factor.
(2) 3*n^2 has two different prime factors.

OA=E

by hazelnut01

Thu May 11, 2017 10:11 pm
Forum: Data Sufficiency
Topic: How many prime factors does positive integer n have? (1) n/7
Replies: 0
Views: 959

I'm thinking ... 1² - 2² + 3² - 4² ± ... + 99² - 100² => (1² + 3² + 5² + ... + 99²) - (2² + 4² + ... + 100²) => (1² + 3² + 5² + ... + 99²) - ((1+1)² + (3+1)² + ... + (99+1)²) => (1² + 3² + 5² + ... + 99²) - (1² + 3² + ... + 99² + 2*1 + 2*3 + ... + 2*99 + 1 + 1 + ... + 1)...

by hazelnut01

Thu May 11, 2017 9:44 pm
Forum: Problem Solving
Topic: tricky VIAC (Variables in the answer choices) question
Replies: 4
Views: 1545

Z is the set of all fractions of the form n/(n-1) ; where n

Z is the set of all fractions of the form n/(n-1) ; where n is a positive integer and 1 < n < 20.

What is the product of all the fractions in the set Z?

A)21
B)20
C)19
D)11
E)1

OA=C

by hazelnut01

Wed May 10, 2017 6:05 am
Forum: Problem Solving
Topic: Z is the set of all fractions of the form n/(n-1) ; where n
Replies: 3
Views: 1838

A fair coin will be tossed twice and a fair die with sides n

A fair coin will be tossed twice and a fair die with sides numbered 1, 2, 3, 4, 5, and 6 will been rolled twice. What is the probability that at least one head will be tossed and at least one number greater than 1 will be rolled?

A. 35/144

B. 1/2

C. 25/48

D. 9/16

E. 35/48

Source : Kaplan
OA=E

by hazelnut01

Tue May 09, 2017 8:21 am
Forum: Problem Solving
Topic: A fair coin will be tossed twice and a fair die with sides n
Replies: 3
Views: 4274

The function of the relationship between the cost (c) and th

The function of the relationship between the cost (c) and the revenue (x) is the equal to c(cost)=bx+a. If the revenue is increased by $1,000, by how many dollars did the cost increase?

1) a=10
2) b=20

OA=B

by hazelnut01

Mon May 08, 2017 9:30 pm
Forum: Data Sufficiency
Topic: The function of the relationship between the cost (c) and th
Replies: 1
Views: 963

Various goods brought into America have been taxed over the

Various goods brought into America have been taxed over the years, but the art tariff of 1883 forced policy-makers to examine the status of art in society and the idea of art as a commodity. The tariff, which was vehemently opposed by both European and American artists, increased levies on all artwo...

by hazelnut01

Mon May 08, 2017 4:45 am
Forum: Critical Reasoning
Topic: Various goods brought into America have been taxed over the
Replies: 2
Views: 1205

Archaeologists have recently found in various grave sites in the mexican state of veracruz , small ceramic animals with attached wheels . At first this find might seem to discredit the belief that the wheel and its uses were unknown in pre-columbian culture .On reflection ,however, it would seem th...

by hazelnut01

Sun May 07, 2017 6:35 am
Forum: Critical Reasoning
Topic: Archaeologists: Inference
Replies: 5
Views: 2732