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If \(x\) and \(y\) are positive integers and \(x < y,\) what is the value of \(x?\)
Data Sufficiency
If \(x\) and \(y\) are positive integers and \(x < y,\) what is the value of \(x?\)
If \(x\) and \(y\) are positive integers and \(x < y,\) what is the value of \(x?\)
1. The product of \(x\) and \(y\) is \(17\)
2. \(x^2 \cdot y = xy\)
The OA is D
- by BTGmoderatorLU
Tue Mar 26, 2024 7:12 am- Forum: Data Sufficiency
- Topic: If \(x\) and \(y\) are positive integers and \(x < y,\) what is the value of \(x?\)
- Replies: 0
- Views: 255
John invested \(\dfrac{1}{4}\) of \(A\) dollars in an investment fund, and placed the remaining \(\dfrac{3}{4}\) of
Problem Solving
John invested \(\dfrac{1}{4}\) of \(A\) dollars in an investment fund, and placed the remaining \(\dfrac{3}{4}\) of
John invested \(\dfrac{1}{4}\) of \(A\) dollars in an investment fund, and placed the remaining \(\dfrac{3}{4}\) of \(A\) dollars in savings account. If he made a \(4p\%\) loss on the fund, and a \(p\%\) profit on the savings account, what was his total profit (or loss), in terms of \(A\) and \(p?\)...
- by BTGmoderatorLU
Tue Mar 26, 2024 7:04 am- Forum: Problem Solving
- Topic: John invested \(\dfrac{1}{4}\) of \(A\) dollars in an investment fund, and placed the remaining \(\dfrac{3}{4}\) of
- Replies: 0
- Views: 253
What is the average (arithmetic mean) of the values \(39, 40, 39, 45, 42, 35, 47?\)
What is the average (arithmetic mean) of the values \(39, 40, 39, 45, 42, 35, 47?\)
A. \(39\)
B. \(41\)
C. \(42\)
D. \(45\)
E. \(47\)
The OA is B
- by BTGmoderatorLU
Thu Mar 21, 2024 4:39 pm- Forum: Problem Solving
- Topic: What is the average (arithmetic mean) of the values \(39, 40, 39, 45, 42, 35, 47?\)
- Replies: 0
- Views: 256
For any increase in \(x,\) the value of \(y\) decreases by double the value of increase in \(x.\) Also, for any decrease
Data Sufficiency
For any increase in \(x,\) the value of \(y\) decreases by double the value of increase in \(x.\) Also, for any decrease
For any increase in \(x,\) the value of \(y\) decreases by double the value of increase in \(x.\) Also, for any decrease in \(x,\) the value of \(y\) increases by double the value of decrease in \(x.\) What is the value of \(x\) when \(y\) is \(2?\) 1) When \(x\) is \(1,\, y = 5\) 2) When \(x\) is \...
- by BTGmoderatorLU
Thu Mar 21, 2024 4:35 pm- Forum: Data Sufficiency
- Topic: For any increase in \(x,\) the value of \(y\) decreases by double the value of increase in \(x.\) Also, for any decrease
- Replies: 0
- Views: 230
At a certain automobile dealership that sells only Tajimas and Franks, the number of nonhybrid Tajimas is \(35\) less
Problem Solving
At a certain automobile dealership that sells only Tajimas and Franks, the number of nonhybrid Tajimas is \(35\) less
At a certain automobile dealership that sells only Tajimas and Franks, the number of nonhybrid Tajimas is \(35\) less than \(3\) times the number of hybrid Tajimas. \(205\) total Tajimas are currently owned by the dealership. If the ratio of hybrid Tajimas to nonhybrid Franks is \(5:4\) and there ar...
- by BTGmoderatorLU
Thu Mar 21, 2024 4:18 pm- Forum: Problem Solving
- Topic: At a certain automobile dealership that sells only Tajimas and Franks, the number of nonhybrid Tajimas is \(35\) less
- Replies: 0
- Views: 243
If a ball is thrown from the ground with velocity \(u \, m/s\) upwards in a gravitation field with \(g \,m/s^2\)
Problem Solving
If a ball is thrown from the ground with velocity \(u \, m/s\) upwards in a gravitation field with \(g \,m/s^2\)
If a ball is thrown from the ground with velocity \(u \, m/s\) upwards in a gravitation field with \(g \,m/s^2\) acceleration working downwards. The ball is rebounded and for each rebound, the velocity reduces to f times of previous velocity (\(0<f<1\)). What is the total distance travelled by the b...
- by BTGmoderatorLU
Wed Mar 13, 2024 4:49 pm- Forum: Problem Solving
- Topic: If a ball is thrown from the ground with velocity \(u \, m/s\) upwards in a gravitation field with \(g \,m/s^2\)
- Replies: 0
- Views: 251
Paul jogs at a constant rate for \(80\) minutes along the same route every day. How long is the route?
Data Sufficiency
Paul jogs at a constant rate for \(80\) minutes along the same route every day. How long is the route?
Paul jogs at a constant rate for \(80\) minutes along the same route every day. How long is the route?
1. Yesterday, Paul began jogging at \(5{:}00 \,\text{P.M.}\)
2. Yesterday, Paul had jogged \(5\) miles by \(5{:}40\, \text{P.M.}\) and \(8\) miles by \(6{:}04\, \text{P.M.}\)
The OA is B
- by BTGmoderatorLU
Wed Mar 13, 2024 4:38 pm- Forum: Data Sufficiency
- Topic: Paul jogs at a constant rate for \(80\) minutes along the same route every day. How long is the route?
- Replies: 0
- Views: 233
A motorcycle covers a total distance of \(588\,\text{km}\) in \(9\) hours. It covers part of the distance at \(60\)
Problem Solving
A motorcycle covers a total distance of \(588\,\text{km}\) in \(9\) hours. It covers part of the distance at \(60\)
A motorcycle covers a total distance of \(588\,\text{km}\) in \(9\) hours. It covers a part of the distance at \(60\,\text{km/h}\) speed and the balance at \(72\,\text{km/h}\) speed. Find the time it travelled at \(72\,\text{km/h}\) speed. A. \(4\text{ h}\) B. \(3 \text{ h} \,30 \text{ min}\) C. \(3...
- by BTGmoderatorLU
Wed Mar 13, 2024 4:27 pm- Forum: Problem Solving
- Topic: A motorcycle covers a total distance of \(588\,\text{km}\) in \(9\) hours. It covers part of the distance at \(60\)
- Replies: 0
- Views: 216
The cost of ship a series of identical packages through Alpha Shipper Company is \(\$40\) for the first \(10\) packages
Data Sufficiency
The cost of ship a series of identical packages through Alpha Shipper Company is \(\$40\) for the first \(10\) packages
The cost to ship a series of identical packages through Alpha Shipper Company is \(\$40\) for the first \(10\) packages and \(\$6\) for each additional package after the tenth package. Did an online retailer who only uses Alpha Shipper Company for shipping ship more than \(35\) on Monday? 1. If \(4\...
- by BTGmoderatorLU
Sat Mar 02, 2024 8:08 am- Forum: Data Sufficiency
- Topic: The cost of ship a series of identical packages through Alpha Shipper Company is \(\$40\) for the first \(10\) packages
- Replies: 0
- Views: 240
Three people each took \(5\) tests. If the ranges of their scores in the \(5\) practice tests were \(17, 28,\) and
Problem Solving
Three people each took \(5\) tests. If the ranges of their scores in the \(5\) practice tests were \(17, 28,\) and
Three people each took \(5\) tests. If the ranges of their scores in the \(5\) practice tests were \(17, 28,\) and \(35,\) what is the minimum possible range in scores of the three test-takers?
A. \(17\)
B. \(28\)
C. \(35\)
D. \(45\)
E. \(80\)
The OA is C
- by BTGmoderatorLU
Sat Mar 02, 2024 7:54 am- Forum: Problem Solving
- Topic: Three people each took \(5\) tests. If the ranges of their scores in the \(5\) practice tests were \(17, 28,\) and
- Replies: 0
- Views: 232
If \(\$6,000\) invested for one year at \(x\) percent simple annual interest yields \(\$450,\) what amount must be
Data Sufficiency
If \(\$6,000\) invested for one year at \(x\) percent simple annual interest yields \(\$450,\) what amount must be
If \(\$6,000\) invested for one year at \(x\) percent simple annual interest yields \(\$450,\) what amount must be invested at \(y\) percent simple annual interest for one year to yield the same number of dollars? 1) If \(\$4,500\) were invested at y percent simple annual interest for one year, the ...
- by BTGmoderatorLU
Sat Feb 24, 2024 10:37 am- Forum: Data Sufficiency
- Topic: If \(\$6,000\) invested for one year at \(x\) percent simple annual interest yields \(\$450,\) what amount must be
- Replies: 0
- Views: 241
An investment club has had an average rate of return of \(15\%\) per year for the past \(6\) years. If Teresa invests
Problem Solving
An investment club has had an average rate of return of \(15\%\) per year for the past \(6\) years. If Teresa invests
An investment club has had an average rate of return of \(15\%\) per year for the past \(6\) years. If Teresa invests \($1000\) and neither adds nor subtracts money from the club, how much will Teresa have invested after \(5\) years assuming that the rate of return does not change? A. \(1000+1.15^5\...
- by BTGmoderatorLU
Sat Feb 24, 2024 10:33 am- Forum: Problem Solving
- Topic: An investment club has had an average rate of return of \(15\%\) per year for the past \(6\) years. If Teresa invests
- Replies: 0
- Views: 251
A dealer bought a merchandise at \(a\%\) less than its marked price and then sold at \(b\%\) less than its marked price.
Data Sufficiency
A dealer bought a merchandise at \(a\%\) less than its marked price and then sold at \(b\%\) less than its marked price.
A dealer bought a merchandise at \(a\%\) less than its marked price and then sold at \(b\%\) less than its marked price. What was the value of the discount offered to customers?
1. \(a=6\%\)
2. The dealer made a profit of \(5\%\)
The OA is C
- by BTGmoderatorLU
Sat Feb 24, 2024 10:21 am- Forum: Data Sufficiency
- Topic: A dealer bought a merchandise at \(a\%\) less than its marked price and then sold at \(b\%\) less than its marked price.
- Replies: 0
- Views: 231
A certain dog kennel houses only collies, labs, and golden retrievers. If the ratio of collies to labs is \(5{:}9,\)
Problem Solving
A certain dog kennel houses only collies, labs, and golden retrievers. If the ratio of collies to labs is \(5{:}9,\)
A certain dog kennel houses only collies, labs, and golden retrievers. If the ratio of collies to labs is \(5{:}9,\) there are \(66\) golden retrievers, and \(12\) more golden retrievers than labs in the kennel, what percent of the dogs in the kennel are collies? A. \(5\%\) B. \(9\%\) C. \(12\%\) D....
- by BTGmoderatorLU
Sat Feb 24, 2024 10:13 am- Forum: Problem Solving
- Topic: A certain dog kennel houses only collies, labs, and golden retrievers. If the ratio of collies to labs is \(5{:}9,\)
- Replies: 0
- Views: 249
Soni and Misha are exchanging stamps with each other. At the start, Soni has \(12\) stamps of type \(X\) and \(15\)
Data Sufficiency
Soni and Misha are exchanging stamps with each other. At the start, Soni has \(12\) stamps of type \(X\) and \(15\)
Soni and Misha are exchanging stamps with each other. At the start, Soni has \(12\) stamps of type \(X\) and \(15\) stamps of type \(Y\) while Misha has \(20\) stamps of type \(X\) and \(10\) stamps of type \(Y.\) They have no other stamps of any other type with them apart from these. After the exch...
- by BTGmoderatorLU
Sun Feb 18, 2024 8:07 am- Forum: Data Sufficiency
- Topic: Soni and Misha are exchanging stamps with each other. At the start, Soni has \(12\) stamps of type \(X\) and \(15\)
- Replies: 0
- Views: 200