## Problem Solving

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OFFICIAL GUIDE QUESTION LIBRARY
by beatthegmat »
Join the discussion as you work through your Official Guide and gain...
2
Last post by gentvenus
Wed Sep 09, 2020 12:49 pm
In a survey of students, each student selected from a list of 12 songs the 2 songs that the student liked best. If each
by BTGmoderatorDC »
In a survey of students, each student selected from a list of 12...
0
Last post by BTGmoderatorDC
Mon Jan 30, 2023 12:57 am
When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 44 seconds.
by BTGmoderatorDC »
When running a mile during a recent track meet, Nuria was initially...
2
Last post by regor60
Sun Jan 29, 2023 9:40 am
There are y different travelers who each have a choice of vacationing at one of n different destinations.
by BTGmoderatorDC »
There are y different travelers who each have a choice of vacationing...
1
Last post by regor60
Sun Jan 29, 2023 9:34 am
In a city where all streets run east-to-west, all avenues run north-to-south, and all intersections are right angles
by BTGmoderatorDC »
Street_Map.png In a city where all streets run east-to-west, all...
1
Last post by regor60
Sun Jan 29, 2023 7:58 am
If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t) has how many different positive factors greater
by BTGmoderatorDC »
If m, p, and t are distinct positive prime numbers, then (m^3)(p)(t)...
1
Last post by [email protected]
Fri Jan 27, 2023 10:34 am
The sum of two integers is 27. The larger integer is 25% greater than the smaller integer. What is the positive
by BTGmoderatorLU »
Source: Princeton Review The sum of two integers is 27. The larger...
1
Last post by [email protected]
Fri Jan 27, 2023 8:58 am
A shirt goes on sale for 80% of its original price. One week later, the sale price is marked down 10%. The final price
by BTGmoderatorDC »
A shirt goes on sale for 80% of its original price. One week later,...
1
Last post by [email protected]
Fri Jan 27, 2023 8:54 am
If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what
by BTGmoderatorDC »
If a certain coin is flipped, the probability that the coin will land...
3
Last post by [email protected]
Fri Jan 27, 2023 8:24 am
John has 5 friends who want to ride in his new car that can accommodate only 3 passengers at a time. How many different
by BTGmoderatorDC »
John has 5 friends who want to ride in his new car that can...
2
Last post by [email protected]
Fri Jan 27, 2023 8:22 am
Six students are equally divided into 3 groups, then, the three groups were assigned to three different topics.
by BTGmoderatorDC »
Six students are equally divided into 3 groups, then, the three...
0
Last post by BTGmoderatorDC
Fri Jan 27, 2023 12:42 am
Initially, the markers and pens in a drawer were in the ratio 5:7. Then, 6 pens were removed. If there are 35 markers in
by AAPL »
Manhattan Prep Initially, the markers and pens in a drawer were in...
1
Last post by [email protected]
Wed Jan 25, 2023 10:55 am
Joey works at a clothing store and receives an employee discount of 10 percent off the regular price of any item.
by BTGmoderatorDC »
Joey works at a clothing store and receives an employee discount of...
1
Last post by [email protected]
Wed Jan 25, 2023 10:53 am
On a certain day, Tim invested $1,000 at 10 percent annual interest by BTGmoderatorDC » On a certain day, Tim invested$1,000 at 10 percent annual interest,...
0
Last post by BTGmoderatorDC
Wed Jan 25, 2023 4:25 am
Which of the following is the product of two integers whose sum is 11?
by BTGmoderatorDC »
Which of the following is the product of two integers whose sum is...
0
Last post by BTGmoderatorDC
Tue Jan 24, 2023 6:57 am
Which of the following is the product of two integers whose sum is 11?
by BTGmoderatorDC »
Which of the following is the product of two integers whose sum is...
0
Last post by BTGmoderatorDC
Tue Jan 24, 2023 6:43 am
A company interviewed 5 applicants each for the posts of the Director and the President. If Jack and Jill were the only
by BTGmoderatorDC »
A company interviewed 5 applicants each for the posts of the Director...
1
Last post by [email protected]
Fri Jan 20, 2023 7:48 am
At a family summer party, each of the x members of the family chose whether or not to have a hamburger and whether or
by BTGmoderatorDC »
At a family summer party, each of the x members of the family chose...
2
Last post by [email protected]
Fri Jan 20, 2023 7:44 am
A small, experimental plane has three engines, one of which is redundant. That is, as long as two of the engines are
by BTGmoderatorDC »
A small, experimental plane has three engines, one of which is...
1
Last post by [email protected]
Fri Jan 20, 2023 7:41 am
When positive integer x is divided by 20, the remainder is 8. What is the remainder when x is divided by 5?
by BTGmoderatorDC »
When positive integer x is divided by 20, the remainder is 8. What is...
2
Last post by [email protected]
Fri Jan 20, 2023 7:39 am
PS General Strategy?
by cbenk121 »
Hey all, I wanted to see if anyone had a general approach worked out...
2
Last post by [email protected]
Wed Jan 18, 2023 7:06 am
An instructor scored a student's test of 50 questions by
by AAPL »
An instructor scored a student's test of 50 questions by...
4
Last post by scotchsure
Thu Jan 12, 2023 6:17 pm
A furniture dealer purchased a desk for $150 and then set the selling price equal to the purchase price plus a markup by BTGmoderatorDC » A furniture dealer purchased a desk for$150 and then set the selling...
2
Last post by [email protected]
Thu Jan 12, 2023 6:14 pm
Last fall, 40 percent of the students at a certain high school participated in after-school activities. Of those
by BTGmoderatorDC »
Last fall, 40 percent of the students at a certain high school...
1
Last post by [email protected]
Thu Jan 12, 2023 6:11 pm
When positive integer x is divided by positive integer y, the quotient is 17 and the remainder is 3. When x is divided
by BTGmoderatorDC »
When positive integer x is divided by positive integer y, the...
1
Last post by [email protected]
Thu Jan 12, 2023 6:08 pm
Pavel has to visit his aunt, who lives exactly eight blocks north and six blocks
by BTGmoderatorDC »
Pavel has to visit his aunt, who lives exactly eight blocks north and...
2
Last post by [email protected]
Thu Jan 12, 2023 6:05 pm
The average (arithmetic mean) selling price of 5 houses in a certain neighborhood was \$250,000. If the average selling
by BTGmoderatorDC »
The average (arithmetic mean) selling price of 5 houses in a certain...
0
Last post by BTGmoderatorDC
Thu Jan 12, 2023 3:03 am
What percent of 10 is 10 percent of 1?
by BTGmoderatorDC »
What percent of 10 is 10 percent of 1? a) 0.1% b) 1% c) 10% d) 90% e)...
1
Last post by [email protected]
Wed Jan 11, 2023 9:48 am
Having received his weekly allowance, John spent 3/5 of his allowance at the arcade. The next day he spent one third of
by BTGmoderatorDC »
Having received his weekly allowance, John spent 3/5 of his allowance...
2
Last post by [email protected]
Wed Jan 11, 2023 9:43 am
Whenever Bianca travels to Italy, she brings back Gucci bags to sell to her friends. The bags she buys in Italy are
by BTGmoderatorDC »
Whenever Bianca travels to Italy, she brings back Gucci bags to sell...
1
Last post by [email protected]
Wed Jan 11, 2023 9:39 am
If 75 percent of all Americans own an automobile, 15 percent of all Americans own a bicycle, and 20 percent of all
by BTGmoderatorDC »
If 75 percent of all Americans own an automobile, 15 percent of all...
1
Last post by [email protected]
Wed Jan 11, 2023 9:36 am
A set of numbers has an average of 50. If the largest element is 4 greater than 3 times the smallest element, which of
by BTGmoderatorDC »
A set of numbers has an average of 50. If the largest element is 4...
1
Last post by [email protected]
Wed Jan 11, 2023 9:33 am
A tank has both an inlet pipe and an outlet pipe. Working alone, the inlet pipe can fill up the tank in 5 hours. Working
by BTGmoderatorDC »
A tank has both an inlet pipe and an outlet pipe. Working alone, the...
0
Last post by BTGmoderatorDC
Mon Jan 09, 2023 9:14 pm
A right triangle has sides of a, b, and 11, respectively, where a and b are both integers. What is the value of
by BTGmoderatorDC »
A right triangle has sides of a, b, and 11, respectively, where a and...
1
Last post by marceltr
Sat Jan 07, 2023 1:59 pm
Two integers x and y are chosen without replacement out of the set {1, 2, 3,......, 10}. Then the probability
by BTGmoderatorDC »
Two integers x and y are chosen without replacement out of the set...
0
Last post by BTGmoderatorDC
Wed Jan 04, 2023 6:09 am
A rectangular photo has a 2mm thick frame uniformly around it. If the frame size is reduced to 1 mm, the total area of
by BTGmoderatorDC »
A rectangular photo has a 2mm thick frame uniformly around it. If the...
0
Last post by BTGmoderatorDC
Tue Jan 03, 2023 2:22 am
In a certain month, a pizzeria sold $$75$$ pizzas in the first week, twice as many in the second week as in the first,
by BTGmoderatorLU »
Source: Princeton Review In a certain month, a pizzeria sold $$75$$...
1
Last post by [email protected]
Fri Dec 30, 2022 8:09 am
A set of 51 different integers has a median of 30 and a range of 60. What is the value of the least possible
by BTGmoderatorDC »
A set of 51 different integers has a median of 30 and a range of 60....
2
Last post by [email protected]
Fri Dec 30, 2022 8:06 am
Johnny travels a total of one hour to and from school. On the way there he jogs at $$5$$ miles per hour and on the
by BTGmoderatorLU »
Source: Princeton Review Johnny travels a total of one hour to and...
1
Last post by [email protected]
Fri Dec 30, 2022 8:04 am
In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding
by BTGmoderatorDC »
In a certain quiz that consists of 10 questions, each question after...
1
Last post by [email protected]
Fri Dec 30, 2022 8:01 am
A mountain resort will hold its annual one-day snowboarding competition if it snows on either Saturday or Sunday, but
by BTGmoderatorDC »
A mountain resort will hold its annual one-day snowboarding...
2
Last post by [email protected]
Wed Dec 28, 2022 5:48 pm
When sold at a 40% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially
by BTGmoderatorDC »
When sold at a 40% discount, a sweater nets the merchant a 20% profit...
1
Last post by [email protected]
Wed Dec 28, 2022 5:46 pm
A plane was originally flying at an altitude of x feet when it ascended 2,000 feet and then descended 5,000 feet. If
by BTGmoderatorDC »
A plane was originally flying at an altitude of x feet when it...
2
Last post by [email protected]
Wed Dec 28, 2022 5:43 pm
Cecilia, Robbie, and Briony all bought stamps. The number of stamps Cecilia purchased was equal to a single digit. The
by BTGmoderatorDC »
Cecilia, Robbie, and Briony all bought stamps. The number of stamps...
1
Last post by [email protected]
Wed Dec 28, 2022 5:39 pm
Min/Max Problems, Statistics And Sets Problems
by swerve »
A certain city with a population of $$132,000$$ is to be divided into...
2
Last post by [email protected]
Wed Dec 28, 2022 5:33 pm
On each of the first three days of the month, Danny ate twice the number of apples he had eaten the day before. The
by AAPL »
Economist On each of the first three days of the month, Danny ate...
1
Last post by [email protected]
Wed Dec 21, 2022 11:37 am
Before expansion, a zoo had $$343$$ birds in $$7$$ cages. If, after the expansion was complete, there were $$719$$ birds
by BTGmoderatorLU »
Source: Princeton Review Before expansion, a zoo had $$343$$ birds...
1
Last post by [email protected]
Wed Dec 21, 2022 11:26 am
A fair 2-sided coin is flipped 6 times. What is the probability that tails will be the result at least twice, but not
by BTGmoderatorDC »
A fair 2-sided coin is flipped 6 times. What is the probability that...
1
Last post by [email protected]
Wed Dec 21, 2022 11:23 am
Julia is twice as old as her brother Paolo, who is five times as old as their dog Winnie. In 10 years, Julia will be
by BTGmoderatorDC »
Julia is twice as old as her brother Paolo, who is five times as old...
1
Last post by [email protected]
Wed Dec 21, 2022 11:18 am
In how many ways can 10 different paintings be distributed between two collectors – Dave and Mona – if Dave should get
by BTGmoderatorDC »
In how many ways can 10 different paintings be distributed between...
0
Last post by BTGmoderatorDC
Sun Dec 18, 2022 2:39 am