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Re: A wholesale dealer purchased two coats at the same price. One was sold

A wholesale dealer purchased two coats at the same price. One was sold at a profit of 20% and the other was sold at a price which was $1520 less than the price at which the first one was sold. If the overall profit earned by selling both the coats was 1%, what was the cost price of one coat? A. $36...


Re: Carol bought a toolbox for $X and then sold it for $Y

Carol bought a toolbox for $X and then sold it for $Y, thereby earning a profit of 20%. Had the value of X been 15% less and the value of Y $76 less, Carol would have earned a profit of 30% . What was the value of X? A. $400 B. $600 C. $640 D. $800 E. $840 Then, y = x + 20% of x = 1.2x; Now, New co...

by [email protected]

Sun Aug 02, 2020 10:07 pm
Forum: Problem Solving
Topic: Carol bought a toolbox for $X and then sold it for $Y
Replies: 2
Views: 109

Re: The average of five positive integers is less than 20. What is the smallest possible median of this set?

The average of five positive integers is less than 20. What is the smallest possible median of this set? (A) 19 (B) 10 (C) 4 (D) 3 (E) 1 OA E Source: Magoosh Note that the question does not mention that the five positive integers are district. Say the five positive integers are 1, each; thus, media...


Re: \(abc\ne 0\) and \(\dfrac3{a} + \dfrac3{b} = \dfrac3{c}.\) What is the sum \(a+b?\)

\(abc\ne 0\) and \(\dfrac3{a} + \dfrac3{b} = \dfrac3{c}.\) What is the sum \(a+b?\) (1) \(ab=c\) (2) \(ab=ac+bc\) [spoiler]OA=A[/spoiler] Source: Veritas Prep So, we know \(\dfrac3{a} + \dfrac3{b} = \dfrac3{c}.\) Taking LCM, we get \(\dfrac {3(a+b)}{ab} = \dfrac3{c}.\) \(a+b=\dfrac{ab}c\) Let's tak...


Re: \(x\) is a positive integer less than \(20.\) What is the value of \(x?\)

\(x\) is a positive integer less than \(20.\) What is the value of \(x?\) (1) \(x\) is the sum of two consecutive integers. (2) \(x\) is the sum of five consecutive integers. [spoiler]OA=E[/spoiler] Source: Veritas Prep From the information, we know that \(1 ≤x ≤19\). We have to get the unique valu...


Re: If \(ax + ay + az = 15,\) what is \(x + y + z ?\)

If \(ax + ay + az = 15,\) what is \(x + y + z ?\) (1) \(x = 2\) (2) \(a = 5\) [spoiler]OA=B[/spoiler] Source: Princeton Review Let's take each statement one by one. (1) \(x = 2\) We don't have value of y and z. Insufficient. (2) \(a = 5\) From \(ax + ay + az = 15,\) we have \(a(x + y + z) = 15.\) T...

by [email protected]

Sun Jul 26, 2020 11:03 pm
Forum: Data Sufficiency
Topic: If \(ax + ay + az = 15,\) what is \(x + y + z ?\)
Replies: 2
Views: 116

Re: What is the value of t?

What is the value of t? (1) t(t - 1)^2 = 4t (2) t is an integer. OA E Source: Manhattan Prep Let's take each statement one by one. (1) t(t – 1)^2 = 4t => t(t – 1)^2 – 4t = 0 t[(t – 1)^2 – 4] = 0 => t = 0 or (t – 1)^2 – 4 = 0 Taking (t – 1)^2 – 4 = 0, we have t = –1 or 3. So, there are three values ...

by [email protected]

Sun Jul 26, 2020 10:59 pm
Forum: Data Sufficiency
Topic: What is the value of t?
Replies: 2
Views: 150

Re: Tom, Bill, Robert, Roger, and Terry are standing in a row for a group photo.

Tom, Bill, Robert, Roger, and Terry are standing in a row for a group photo. In how many different orders can the five men stand if Tom refuses to stand next to Roger? A. 48 B. 64 C. 72 D. 96 E. 120 Answer: C Source: Veritas Prep No. of ways five men can stand to get photographed = 5! = 120; Now in...


Re: An “Armstrong number” is an n-digit number that is equal to

An “Armstrong number” is an n-digit number that is equal to the sum of the nth powers of its individual digits. For example, 153 is an Armstrong number because it has 3 digits and 1^3 + 5^3 + 3^3 = 153. What is the digit k in the Armstrong number 1,6k4 ? A. 2 B. 3 C. 4 D. 5 E. 6 Answer: B Source: O...


Re: From a group of 10 students, 7 girls and 3 boys, a teacher must choose 2

From a group of 10 students, 7 girls and 3 boys, a teacher must choose 2 girls and 2 boys to present book reports. How many different arrangements of students, in order, are possible? A. 252 B. 504 C. 1,008 D. 1,512 E. 5,040 Answer: D Source: Princeton Review The required no. of ways to selected 4 ...


Re: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:

If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to: A. 19,104 B. 19,303 C. 19,356.732 D. 19,502 E. 19,909 OA E Source: Veritas Prep Given that 100<x<199 and 10<y<100, we will have 1,000 < xy < 19,900. The maximum value of xy would be less than 19,900; thus, option E is incorrect. Cor...


Re: Alex paid a $12 fee to receive a 10% discount off of the list price on all

Alex paid a $12 fee to receive a 10% discount off of the list price on all books he bought in a six-month period. Victor paid a $15 fee to receive a 15% discount off of the list price on all books he bought in the same period. If each bought books with a total list price of b during that period and...


Re: The present age of a father is 3 years more than three times the age of his son.

The present age of a father is 3 years more than three times the age of his son. Three years hence , father's age will be 10 years more than twice the age of the son. Present age of the father is.. A. 9 B. 10 C. 30 D. 33 E. 35 Answer: D Source: Grockit Say father's age = x years and son's age = y y...


Re: If xy = 7 and x - y = 7, then

If xy = 7 and x – y = 7, then x² + y² = (A) 35 (B) 42 (C) 49 (D) 56 (E) 63 Answer: E Source: GMAT Prep Now We know that (x – y)^2 = x ^2 + y^2 – 2xy Thus, 7^2 = (x ^2 + y^2) – 2*7 => x ^2 + y^2 = 63 Correct answer: [spoiler][/spoiler] Hope this helps! -Jay _________________ Manhattan Review GMAT Pr...

by [email protected]

Thu Jul 23, 2020 9:01 pm
Forum: Problem Solving
Topic: If xy = 7 and x - y = 7, then
Replies: 5
Views: 169

Re: To mail a package, the rate is x cents for the first pound and y cents

To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved? (A) Combined, with a s...