Search found 16 matches
Re: If \(20\) percent of \(3k\) is \(6,\) what is \(40\) percent of \(k?\)
20 % of 3k = 6
20 % of k = 2
40 % of k = 4
Option A is the answer.
- by jhavyom
Sun Nov 01, 2020 2:49 am- Forum: Problem Solving
- Topic: If \(20\) percent of \(3k\) is \(6,\) what is \(40\) percent of \(k?\)
- Replies: 2
- Views: 417
- by jhavyom
Sun Nov 01, 2020 2:47 am- Forum: Problem Solving
- Topic: \(350^2-320^2=\)
- Replies: 2
- Views: 429
Re: If the circle above has center O and an area of
2018-11-12_1300.png If the circle above has center O and an area of 36π, what is the perimeter of sector ABCO ? A. 6π B. 9π C. 6 + 3π D. 9 + 3π E. 12 + 3π OA E Source: Princeton Review Area = 36π πr^2 = 36π r^2 = 36 r = 6 ABCO Perimieter = πr/2 + 2r = (6/2)π + 2*6 = 3π + 12 Option E is the answer.
- by jhavyom
Sun Nov 01, 2020 2:44 am- Forum: Problem Solving
- Topic: If the circle above has center O and an area of
- Replies: 3
- Views: 614
Rob is twice as old as Jodie is now. In 10 years, Rob will be 20 years older than Jodie is at that time. How old is Jodi
Problem Solving
Re: Rob is twice as old as Jodie is now. In 10 years, Rob will be 20 years older than Jodie is at that time. How old is
Rob is twice as old as Jodie is now. In 10 years, Rob will be 20 years older than Jodie is at that time. How old is Jodie now? A. 10 B. 20 C. 30 D. 40 E. 50 Answer: B Source: Princeton Review Rob(R) is twice as old as Jodie(J) is now R = 2J In 10 years, Rob will be 20 years older than Jodie is at t...
- by jhavyom
Sun Nov 01, 2020 2:40 am- Forum: Problem Solving
- Topic: Rob is twice as old as Jodie is now. In 10 years, Rob will be 20 years older than Jodie is at that time. How old is Jodi
- Replies: 2
- Views: 384
Given \(f(x) = 3x - 5,\) for what value of \(x\) does \(2\cdot f(x) - 1 = f(3x - 6).\)
Problem Solving
Re: Given \(f(x) = 3x - 5,\) for what value of \(x\) does \(2\cdot f(x) - 1 = f(3x - 6).\)
Given \(f(x) = 3x - 5,\) for what value of \(x\) does \(2\cdot f(x) - 1 = f(3x - 6).\) A. 0 B. 4 C. 6 D. 7 E. 13 Answer: B Source: Magoosh f(x) = 3x - 5 f(3x-6) = 3(3x-6) - 5 Now, 2f(x) - 1 = f(3x-6) 2(3x - 5) - 1 = 3(3x-6) - 5 6x - 10 - 1 = 3(3x-6) - 5 6x - 11 = 9x - 18 -5 3x = 12 x = 4 Option B i...
- by jhavyom
Sun Nov 01, 2020 2:22 am- Forum: Problem Solving
- Topic: Given \(f(x) = 3x - 5,\) for what value of \(x\) does \(2\cdot f(x) - 1 = f(3x - 6).\)
- Replies: 2
- Views: 383
If \(f(x+1)=f(x)+1\) for all values of \(x,\) and \(f(7)=3,\) what is the value of \(f(3)?\)
Problem Solving
Re: If \(f(x+1)=f(x)+1\) for all values of \(x,\) and \(f(7)=3,\) what is the value of \(f(3)?\)
If \(f(x+1)=f(x)+1\) for all values of \(x,\) and \(f(7)=3,\) what is the value of \(f(3)?\) A. -1 B. 3 C. 7 D. 11 E. 13 Answer: A Source: Veritas Prep f(x+1) = f(x) + 1 f(7) = f (6+1) = f(6) + 1 = 3 ---> f(6) = 2 f(6) = f (5+1) = f(5) + 1 = 2 ---> f(5) = 1 f(5) = f (4+1) = f(4) + 1 = 2 ---> f(4) =...
- by jhavyom
Sun Nov 01, 2020 1:29 am- Forum: Problem Solving
- Topic: If \(f(x+1)=f(x)+1\) for all values of \(x,\) and \(f(7)=3,\) what is the value of \(f(3)?\)
- Replies: 2
- Views: 381
A box contains 6 black balls and 4 white balls. If two balls are selected at random without replacement, what is the pro
Problem Solving
Re: A box contains 6 black balls and 4 white balls. If two balls are selected at random without replacement, what is the
A box contains 6 black balls and 4 white balls. If two balls are selected at random without replacement, what is the probability that both balls are white? Number of ways of selecting 2 white balls from 4 white balls without replacement = 4C2 = 6 ways Number of ways of selecting 2 balls from a box, ...
- by jhavyom
Sun Nov 01, 2020 1:13 am- Forum: Problem Solving
- Topic: A box contains 6 black balls and 4 white balls. If two balls are selected at random without replacement, what is the pro
- Replies: 2
- Views: 1384
A bookstore stocks 1/5 of its books as fiction works, and 1/3 less than the fiction books as self-help books. What fract
Problem Solving
Re: A bookstore stocks 1/5 of its books as fiction works, and 1/3 less than the fiction books as self-help books. What f
A bookstore stocks 1/5 of its books as fiction works, and 1/3 less than the fiction books as self-help books. What fraction of the total books are fiction and self-help books? Let the total number of books be B A bookstore stocks 1/5 of its books as fiction works---> fiction work books = B/5 1/3 les...
- by jhavyom
Sun Nov 01, 2020 1:03 am- Forum: Problem Solving
- Topic: A bookstore stocks 1/5 of its books as fiction works, and 1/3 less than the fiction books as self-help books. What fract
- Replies: 2
- Views: 343
Romi has a collection of 10 distinct books (8 small and 2 large). In how many ways can he select 5 books to take with
Problem Solving
Re: Romi has a collection of 10 distinct books (8 small and 2 large). In how many ways can he select 5 books to take wit
Romi has a collection of 10 distinct books (8 small and 2 large). In how many ways can he select 5 books to take with him on a trip if he has room for only 1 large book? Romi has two options available. Either select 5 small books or select 4 small and 1 large book Number of ways in which 5 small boo...
- by jhavyom
Sun Nov 01, 2020 12:54 am- Forum: Problem Solving
- Topic: Romi has a collection of 10 distinct books (8 small and 2 large). In how many ways can he select 5 books to take with
- Replies: 2
- Views: 333
Envelopes can be purchased for \(\$1.50\) per pack of \(100, \$1.00\) per pack of \(50,\) or \(\$0.03\) each. What is
Problem Solving
Re: Envelopes can be purchased for \(\$1.50\) per pack of \(100, \$1.00\) per pack of \(50,\) or \(\$0.03\) each. What i
Envelopes can be purchased for \(\$1.50\) per pack of \(100, \$1.00\) per pack of \(50,\) or \(\$0.03\) each. What is the greatest number of envelopes that can be purchased for \(\$7.30?\) A. 426 B. 430 C. 443 D. 460 E. 486 Answer: D Source: Official Guide $7.3 = $6 + $1 + $0.3 $7.3 = $1.5 * 4 + $1...
- by jhavyom
Sun Nov 01, 2020 12:40 am- Forum: Problem Solving
- Topic: Envelopes can be purchased for \(\$1.50\) per pack of \(100, \$1.00\) per pack of \(50,\) or \(\$0.03\) each. What is
- Replies: 3
- Views: 373
Copper pipe costs \(x\) cents per foot in \(8\)-foot lengths, and \(x + y\) cents per foot in shorter lengths. What is
Problem Solving
Re: Copper pipe costs \(x\) cents per foot in \(8\)-foot lengths, and \(x + y\) cents per foot in shorter lengths. What
Copper pipe costs \(x\) cents per foot in \(8\)-foot lengths, and \(x + y\) cents per foot in shorter lengths. What is the lowest possible price, in cents, of \(51\) feet of pipe in terms of \(x\) and \(y?\) A. \(51(x + y)\) B. \(51x\) C. \(48x + 3y\) D. \(48(x + y)\) E. \(51x + 3y\) Answer: E Sour...
- by jhavyom
Sun Nov 01, 2020 12:33 am- Forum: Problem Solving
- Topic: Copper pipe costs \(x\) cents per foot in \(8\)-foot lengths, and \(x + y\) cents per foot in shorter lengths. What is
- Replies: 3
- Views: 504
Bane had 3 different color paints with him, Red, Green, and Blue. He wanted to paint a wall with 6 vertical stripes...
Problem Solving
Re: Bane had 3 different color paints with him, Red, Green, and Blue. He wanted to paint a wall with 6 vertical stripes.
Bane had 3 different color paints with him, Red, Green, and Blue. He wanted to paint a wall with 6 vertical stripes, but no two adjacent stripes could be of the same color. Assuming that Bane can use one color more than once, in how many ways can Bane paint the wall? Let Bane paint the first stripe ...
- by jhavyom
Sun Nov 01, 2020 12:25 am- Forum: Problem Solving
- Topic: Bane had 3 different color paints with him, Red, Green, and Blue. He wanted to paint a wall with 6 vertical stripes...
- Replies: 1
- Views: 247
The circle is inscribed in a square that has an area of 50. What is the area of the circle?
Problem Solving
Re: The circle is inscribed in a square that has an area of 50. What is the area of the circle?
Source: Manhattan Prep Capture (3).JPG In the figure above, the circle is inscribed in a square that has an area of 50. What is the area of the circle? A. \(\dfrac{25\pi}{4}\) B. \(\dfrac{25\pi}{2}\) C. \(25\pi\) D. \(50\pi\) E. \(\dfrac{625\pi}{16}\) Let the side of the square be d. Also, the diam...
- by jhavyom
Sun Nov 01, 2020 12:14 am- Forum: Problem Solving
- Topic: The circle is inscribed in a square that has an area of 50. What is the area of the circle?
- Replies: 1
- Views: 287
How many three-digit numbers \(ABC,\) in which \(A, B,\) and \(C\) are each digits, satisfy the equation \(2B = A + C?\)
Problem Solving
Re: How many three-digit numbers \(ABC,\) in which \(A, B,\) and \(C\) are each digits, satisfy the equation \(2B = A +
How many three-digit numbers ABC in which A, B, and C are each digits, satisfy the equation 2B = A + C 2B = A + C This implies that the digits A, B, and C form an A. P. For common difference (d) = 0, ABC can be 111, 222, 333, 444, 555, 666, 777, 888, and 999 Total 9 digits with d = 0 For common diff...
- by jhavyom
Sat Oct 31, 2020 11:57 pm- Forum: Problem Solving
- Topic: How many three-digit numbers \(ABC,\) in which \(A, B,\) and \(C\) are each digits, satisfy the equation \(2B = A + C?\)
- Replies: 1
- Views: 247
If the two-digit integers \(M\) and \(N\) are positive and have the same digits, but in reverse order, which of the foll
Problem Solving
Re: If the two-digit integers \(M\) and \(N\) are positive and have the same digits, but in reverse order, which of the
If the two-digit integers M and N are positive and have the same digits, but in reverse order, which of the following cannot be the sum of M and N Let the unit's digit of M be m So, its tens digit becomes m Therefre, M can be written as M = 10m + m = 11m Similarly, let the unit's digit of N be n So,...
- by jhavyom
Sat Oct 31, 2020 11:39 pm- Forum: Problem Solving
- Topic: If the two-digit integers \(M\) and \(N\) are positive and have the same digits, but in reverse order, which of the foll
- Replies: 1
- Views: 305