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A grocer bought 10 dozen bottles of jam at $18 per dozen from the wholesale market. The grocer found
Problem Solving
Re: A grocer bought 10 dozen bottles of jam at $18 per dozen from the wholesale market. The grocer found
A grocer bought 10 dozen bottles of jam at $18 per dozen from the wholesale market. The grocer found that 10 bottles were broken and had to be thrown away. At what price per bottle should he sell, so as to make a profit of 10%, if he also spent $24 on transportation costs? A. $2.04 B. $2.25 C. $2.4...
- by Jay@ManhattanReview
Sun Aug 02, 2020 10:26 pm- Forum: Problem Solving
- Topic: A grocer bought 10 dozen bottles of jam at $18 per dozen from the wholesale market. The grocer found
- Replies: 2
- Views: 485
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...
- by Jay@ManhattanReview
Sun Aug 02, 2020 10:16 pm- Forum: Problem Solving
- Topic: A wholesale dealer purchased two coats at the same price. One was sold
- Replies: 1
- Views: 382
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 Jay@ManhattanReview
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: 417
The average of five positive integers is less than 20. What is the smallest possible median of this set?
Problem Solving
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...
- by Jay@ManhattanReview
Sun Aug 02, 2020 9:57 pm- Forum: Problem Solving
- Topic: The average of five positive integers is less than 20. What is the smallest possible median of this set?
- Replies: 1
- Views: 422
\(abc\ne 0\) and \(\dfrac3{a} + \dfrac3{b} = \dfrac3{c}.\) What is the sum \(a+b?\)
Data Sufficiency
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...
- by Jay@ManhattanReview
Sun Jul 26, 2020 11:33 pm- Forum: Data Sufficiency
- Topic: \(abc\ne 0\) and \(\dfrac3{a} + \dfrac3{b} = \dfrac3{c}.\) What is the sum \(a+b?\)
- Replies: 1
- Views: 398
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...
- by Jay@ManhattanReview
Sun Jul 26, 2020 11:25 pm- Forum: Data Sufficiency
- Topic: \(x\) is a positive integer less than \(20.\) What is the value of \(x?\)
- Replies: 2
- Views: 413
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 Jay@ManhattanReview
Sun Jul 26, 2020 11:03 pm- Forum: Data Sufficiency
- Topic: If \(ax + ay + az = 15,\) what is \(x + y + z ?\)
- Replies: 2
- Views: 552
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 Jay@ManhattanReview
Sun Jul 26, 2020 10:59 pm- Forum: Data Sufficiency
- Topic: What is the value of t?
- Replies: 2
- Views: 395
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...
- by Jay@ManhattanReview
Sun Jul 26, 2020 10:52 pm- Forum: Problem Solving
- Topic: Tom, Bill, Robert, Roger, and Terry are standing in a row for a group photo.
- Replies: 3
- Views: 446
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...
- by Jay@ManhattanReview
Sun Jul 26, 2020 10:47 pm- Forum: Problem Solving
- Topic: An “Armstrong number” is an n-digit number that is equal to
- Replies: 3
- Views: 498
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 ...
- by Jay@ManhattanReview
Sun Jul 26, 2020 10:30 pm- Forum: Problem Solving
- Topic: From a group of 10 students, 7 girls and 3 boys, a teacher must choose 2
- Replies: 2
- Views: 443
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...
- by Jay@ManhattanReview
Sun Jul 26, 2020 10:27 pm- Forum: Problem Solving
- Topic: If 100<x<199 and 10<y<100, then the product xy CANNOT be equal to:
- Replies: 2
- Views: 533
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...
- by Jay@ManhattanReview
Thu Jul 23, 2020 9:26 pm- Forum: Problem Solving
- Topic: Alex paid a $12 fee to receive a 10% discount off of the list price on all
- Replies: 3
- Views: 527
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...
- by Jay@ManhattanReview
Thu Jul 23, 2020 9:04 pm- Forum: Problem Solving
- Topic: The present age of a father is 3 years more than three times the age of his son.
- Replies: 4
- Views: 486
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 Jay@ManhattanReview
Thu Jul 23, 2020 9:01 pm- Forum: Problem Solving
- Topic: If xy = 7 and x - y = 7, then
- Replies: 5
- Views: 495