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If \(x\) and \(y\) are positive integers and \(x=y^{a-2},\) is \(x\) a factor of \(y?\)
Data Sufficiency
If \(x\) and \(y\) are positive integers and \(x=y^{a-2},\) is \(x\) a factor of \(y?\)
If \(x\) and \(y\) are positive integers and \(x=y^{a-2},\) is \(x\) a factor of \(y?\)
1. \(a\) is an integer
2. \(a < 4\)
The OA is C
- by BTGmoderatorLU
Thu Jul 10, 2025 3:36 pm- Forum: Data Sufficiency
- Topic: If \(x\) and \(y\) are positive integers and \(x=y^{a-2},\) is \(x\) a factor of \(y?\)
- Replies: 0
- Views: 7
Which of the following is equivalent to the expression \(\dfrac{(ab)^3 c^0}{a^3 b^4},\) where \(abc \neq 0?\)
Problem Solving
Which of the following is equivalent to the expression \(\dfrac{(ab)^3 c^0}{a^3 b^4},\) where \(abc \neq 0?\)
Which of the following is equivalent to the expression \(\dfrac{(ab)^3 c^0}{a^3 b^4},\) where \(abc \neq 0?\)
A. \(c\)
B. \(ab\)
C. \(abc\)
D. \(\dfrac{1}{b}\)
E. \(\dfrac{c}{ab}\)
The OA is D
- by BTGmoderatorLU
Thu Jul 10, 2025 3:29 pm- Forum: Problem Solving
- Topic: Which of the following is equivalent to the expression \(\dfrac{(ab)^3 c^0}{a^3 b^4},\) where \(abc \neq 0?\)
- Replies: 0
- Views: 4
If \(x\) and \(y\) are positive integers, then what is the value of \((-1)^x+(-1)^y+(-1)^x*(-1)^y?\)
Data Sufficiency
If \(x\) and \(y\) are positive integers, then what is the value of \((-1)^x+(-1)^y+(-1)^x*(-1)^y?\)
If \(x\) and \(y\) are positive integers, then what is the value of \((-1)^x+(-1)^y+(-1)^x*(-1)^y?\)
1. \(x\) does not have a prime factor greater than \(1\)
2. \(y\) is a common factor of all prime numbers between \(101\) to \(202\)
The OA is D
- by BTGmoderatorLU
Thu Jul 10, 2025 3:23 pm- Forum: Data Sufficiency
- Topic: If \(x\) and \(y\) are positive integers, then what is the value of \((-1)^x+(-1)^y+(-1)^x*(-1)^y?\)
- Replies: 0
- Views: 5
If \(n\) is an integer, and \(0.00876*10^n\) is greater than \(1000,\) what is the least possible value of \(n?\)
Problem Solving
If \(n\) is an integer, and \(0.00876*10^n\) is greater than \(1000,\) what is the least possible value of \(n?\)
If \(n\) is an integer, and \(0.00876*10^n\) is greater than \(1000,\) what is the least possible value of \(n?\)
A. \(4\)
B. \(5\)
C. \(6\)
D. \(7\)
E. \(8\)
The OA is C
- by BTGmoderatorLU
Thu Jul 10, 2025 3:14 pm- Forum: Problem Solving
- Topic: If \(n\) is an integer, and \(0.00876*10^n\) is greater than \(1000,\) what is the least possible value of \(n?\)
- Replies: 0
- Views: 4
There are \(300\) people in a conference hall. Each person is either an engineer or a professor or both or only a
Data Sufficiency
There are \(300\) people in a conference hall. Each person is either an engineer or a professor or both or only a
There are \(300\) people in a conference hall. Each person is either an engineer or a professor or both or only a journalist. What is the probability that a person randomly picked from the hall is a journalist? 1) There are \(200\) people who are an engineer or a professor 2) There are \(200\) peopl...
- by BTGmoderatorLU
Tue Jul 01, 2025 9:10 am- Forum: Data Sufficiency
- Topic: There are \(300\) people in a conference hall. Each person is either an engineer or a professor or both or only a
- Replies: 0
- Views: 25
In a shipment of \(20\) computers, \(3\) are defective. Three computers are randomly selected and tested. What is the
Problem Solving
In a shipment of \(20\) computers, \(3\) are defective. Three computers are randomly selected and tested. What is the
In a shipment of \(20\) computers, \(3\) are defective. Three computers are randomly selected and tested. What is the probability that all three are defective if the first and second ones are not replaced after being tested? A. \(27/8000\) B. \(1/1140\) C. \(1/4080\) D. \(1/4913\) E. \(1/5400\) The ...
- by BTGmoderatorLU
Tue Jul 01, 2025 8:56 am- Forum: Problem Solving
- Topic: In a shipment of \(20\) computers, \(3\) are defective. Three computers are randomly selected and tested. What is the
- Replies: 0
- Views: 25
A number is randomly selected from the first \(100\) positive multiples of \(5.\) What is the probability that the
Data Sufficiency
A number is randomly selected from the first \(100\) positive multiples of \(5.\) What is the probability that the
A number is randomly selected from the first \(100\) positive multiples of \(5.\) What is the probability that the selected number is a saturated number?
1) A saturated number is a positive integer that has exactly two distinct positive factors
2) A saturated number must be odd
The OA is A
- by BTGmoderatorLU
Tue Jul 01, 2025 8:40 am- Forum: Data Sufficiency
- Topic: A number is randomly selected from the first \(100\) positive multiples of \(5.\) What is the probability that the
- Replies: 0
- Views: 22
A certain signal flashes yellow for \(15\) seconds each minute, orange for \(20\) seconds each minute, and blue for
Problem Solving
A certain signal flashes yellow for \(15\) seconds each minute, orange for \(20\) seconds each minute, and blue for
A certain signal flashes yellow for \(15\) seconds each minute, orange for \(20\) seconds each minute, and blue for \(25\) seconds each minute. What is the probability in any given minute of the signal being blue?
A. \(5/12\)
B. \(1/3\)
C. \(1/4\)
D. \(1/25\)
E. \(1/60\)
The OA is A
- by BTGmoderatorLU
Tue Jul 01, 2025 8:26 am- Forum: Problem Solving
- Topic: A certain signal flashes yellow for \(15\) seconds each minute, orange for \(20\) seconds each minute, and blue for
- Replies: 0
- Views: 22
In the coordinate plane above, \(ABCD\) and \(DEFG\) are squares, and points \(B\) and \(E\) lie on the line. What is
Data Sufficiency
In the coordinate plane above, \(ABCD\) and \(DEFG\) are squares, and points \(B\) and \(E\) lie on the line. What is
Screen Shot 2021-05-10 at 17.34.26.png In the coordinate plane above, \(ABCD\) and \(DEFG\) are squares, and points \(B\) and \(E\) lie on the line. What is the \(x\)-intercept of the line? 1) Segment \(BC\) is \(6\) units, and segment \(BE\) is \(\sqrt{52}\) units 2) The area of triangle \(BCE\) i...
- by BTGmoderatorLU
Thu Jun 26, 2025 8:48 am- Forum: Data Sufficiency
- Topic: In the coordinate plane above, \(ABCD\) and \(DEFG\) are squares, and points \(B\) and \(E\) lie on the line. What is
- Replies: 0
- Views: 67
In the figure below, what is the length of the perimeter of triangle \(OPQ?\)
In the figure below, what is the length of the perimeter of triangle \(OPQ?\)
B. \(3\)
C. \(\sqrt{5}+\sqrt{2}\)
D. \(5+2\sqrt{2}\)
E. \(2\sqrt{5}+\sqrt{2}\)
The OA is E
- by BTGmoderatorLU
Thu Jun 26, 2025 8:34 am- Forum: Problem Solving
- Topic: In the figure below, what is the length of the perimeter of triangle \(OPQ?\)
- Replies: 0
- Views: 63
In the rectangular coordinate system above, what is the area of the triangular region \(AED?\)
Data Sufficiency
In the rectangular coordinate system above, what is the area of the triangular region \(AED?\)
1) The area of region \(ABCD\) is \(12\)
2) \(AD = 6\)
The OA is D
- by BTGmoderatorLU
Thu Jun 26, 2025 8:26 am- Forum: Data Sufficiency
- Topic: In the rectangular coordinate system above, what is the area of the triangular region \(AED?\)
- Replies: 0
- Views: 66
A line can be expressed in the slope-intercept form \(y = mx + b,\) where m and b are constants. What is the slope
Problem Solving
A line can be expressed in the slope-intercept form \(y = mx + b,\) where m and b are constants. What is the slope
A line can be expressed in the slope-intercept form \(y = mx + b,\) where m and b are constants. What is the slope-intercept form of the equation \(4x + 3y = 15?\) A. \(y = -\dfrac{4}{3}x + 5\) B. \(y = -\dfrac{4}{3}x + 1\) C. \(y = -\dfrac{3}{4}x - 5\) D. \(y = -\dfrac{3}{4}x + 5\) E. \(x = -\dfrac...
- by BTGmoderatorLU
Thu Jun 26, 2025 8:13 am- Forum: Problem Solving
- Topic: A line can be expressed in the slope-intercept form \(y = mx + b,\) where m and b are constants. What is the slope
- Replies: 0
- Views: 69
A bus route has \(20\) different stops. A traveller wishes to travel from every stop to every other stop. How many
Problem Solving
A bus route has \(20\) different stops. A traveller wishes to travel from every stop to every other stop. How many
A bus route has \(20\) different stops. A traveller wishes to travel from every stop to every other stop. How many different tickets will the traveller require?
A. \(260\)
B. \(340\)
C. \(380\)
D. \(420\)
E. \(720\)
The OA is C
- by BTGmoderatorLU
Thu Jun 19, 2025 5:32 pm- Forum: Problem Solving
- Topic: A bus route has \(20\) different stops. A traveller wishes to travel from every stop to every other stop. How many
- Replies: 0
- Views: 111
In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how
Data Sufficiency
In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how
In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how many ways can the teacher choose two boys for the same? 1) Number of boys is \(20\%\) less than the number of girls in the class 2) Number of girls is \(3\) more than the number of ...
- by BTGmoderatorLU
Thu Jun 19, 2025 5:22 pm- Forum: Data Sufficiency
- Topic: In a class, teacher decides to choose two students for a certain experiment, out of the boys and girls present. In how
- Replies: 0
- Views: 110
From a group of three boys and four girls, a school hallway monitor group is to be selected. If the group is to be
Problem Solving
From a group of three boys and four girls, a school hallway monitor group is to be selected. If the group is to be
From a group of three boys and four girls, a school hallway monitor group is to be selected. If the group is to be formed of two boys and three girls, how many different such groups can be formed?
A. \(3\)
B. \(4\)
C. \(12\)
D. \(72\)
E. \(144\)
The OA is C
- by BTGmoderatorLU
Thu Jun 19, 2025 5:05 pm- Forum: Problem Solving
- Topic: From a group of three boys and four girls, a school hallway monitor group is to be selected. If the group is to be
- Replies: 0
- Views: 104