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\(P=a^4\cdot b^7,\) where \(a^2=1\) and \(b^2=9.\) What is the value of \(P?\)
\(P=a^4\cdot b^7,\) where \(a^2=1\) and \(b^2=9.\) What is the value of \(P?\)
(1) \(a < 0\)
(2) \(b < 0\)
Answer: B
Source: Magoosh
- by M7MBA
Fri Jan 14, 2022 9:14 am- Forum: Data Sufficiency
- Topic: \(P=a^4\cdot b^7,\) where \(a^2=1\) and \(b^2=9.\) What is the value of \(P?\)
- Replies: 0
- Views: 246
Set \(X = \{a, b, c, d, 9\},\) where \(a, b, c, d\) and \(9\) are five distinct positive integers. If \(9\) is the only
Data Sufficiency
Set \(X = \{a, b, c, d, 9\},\) where \(a, b, c, d\) and \(9\) are five distinct positive integers. If \(9\) is the only
Set \(X = \{a, b, c, d, 9\},\) where \(a, b, c, d\) and \(9\) are five distinct positive integers. If \(9\) is the only odd integer in the set, what is the average (arithmetic mean) of set \(X?\) (1) The standard deviation of set \(X\) is \(2.\) (2) The range of \(\{a, b, c\}\) is \(4\) and the aver...
- by M7MBA
Thu Jan 13, 2022 12:28 pm- Forum: Data Sufficiency
- Topic: Set \(X = \{a, b, c, d, 9\},\) where \(a, b, c, d\) and \(9\) are five distinct positive integers. If \(9\) is the only
- Replies: 0
- Views: 243
In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks,
Problem Solving
In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks,
In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks, \(\dfrac23\) are shiny and the rest are matte, while \(\dfrac15\) of the sedimentary rocks are shiny. If there are \(30\) shiny igneous rocks, how many total rocks does Cliff have?...
- by M7MBA
Thu Jan 13, 2022 12:25 pm- Forum: Problem Solving
- Topic: In Cliff’s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. Of the igneous rocks,
- Replies: 0
- Views: 270
If \(r\) is represented by the decimal \(0.t5,\) what is the digit \(t?\)
If \(r\) is represented by the decimal \(0.t5,\) what is the digit \(t?\)
(1) \(r < \dfrac13\)
(2) \(r < \dfrac1{10}\)
Answer: B
Source: GMAT Paper Tests
- by M7MBA
Thu Jan 13, 2022 12:24 pm- Forum: Data Sufficiency
- Topic: If \(r\) is represented by the decimal \(0.t5,\) what is the digit \(t?\)
- Replies: 0
- Views: 244
A certain consulting firm employs 8 men and 4 women. In March, 3 employees are selected at random to represent the compa
Problem Solving
A certain consulting firm employs 8 men and 4 women. In March, 3 employees are selected at random to represent the compa
A certain consulting firm employs 8 men and 4 women. In March, 3 employees are selected at random to represent the company at a convention. What is the probability that the representatives will NOT all be men? A. \(\dfrac{14}{55}\) B. \(\dfrac38\) C. \(\dfrac{41}{55}\) D. \(\dfrac23\) E. \(\dfrac{54...
- by M7MBA
Thu Jan 13, 2022 12:22 pm- Forum: Problem Solving
- Topic: A certain consulting firm employs 8 men and 4 women. In March, 3 employees are selected at random to represent the compa
- Replies: 0
- Views: 244
If \(a\) and \(b\) are nonzero integers, is \(a^b\) an integer?
If \(a\) and \(b\) are nonzero integers, is \(a^b\) an integer?
(1) \(b^a\) is negative.
(2) \(a^b\) is negative.
Answer: E
Source: Veritas Prep
- by M7MBA
Thu Jan 13, 2022 12:20 pm- Forum: Data Sufficiency
- Topic: If \(a\) and \(b\) are nonzero integers, is \(a^b\) an integer?
- Replies: 0
- Views: 234
If \(x\) is a positive integer, is \(x^2 + 6x +10\) odd?
If \(x\) is a positive integer, is \(x^2 + 6x +10\) odd?
(1) \(x^2 + 4x + 5\) is odd.
(2) \(x^2 + 3x + 4\) is even.
Answer: A
Source: Manhattan GMAT
- by M7MBA
Sun Dec 26, 2021 3:53 pm- Forum: Data Sufficiency
- Topic: If \(x\) is a positive integer, is \(x^2 + 6x +10\) odd?
- Replies: 0
- Views: 277
It takes the average dryer 80 minutes to dry one full load of Bob's laundry. Bob has one average dryer and also decides
Problem Solving
It takes the average dryer 80 minutes to dry one full load of Bob's laundry. Bob has one average dryer and also decides
It takes the average dryer 80 minutes to dry one full load of Bob's laundry. Bob has one average dryer and also decides to try one "Super Jumbo-Iron Dryer-Matic", which is faster than the average dryer by a ratio of 5: 4. Bob has three loads of laundry, and both machines are so precise tha...
- by M7MBA
Sun Dec 26, 2021 3:52 pm- Forum: Problem Solving
- Topic: It takes the average dryer 80 minutes to dry one full load of Bob's laundry. Bob has one average dryer and also decides
- Replies: 0
- Views: 285
In the \(xy\)-plane, is angle \(BAC = 60\) degrees?
(1) The length of \(AB = BC.\)
(2) The perpendicular from \(A\) on \(BC\) bisects \(BC.\)
Answer: C
Source: e-GMAT
- by M7MBA
Sun Dec 26, 2021 3:51 pm- Forum: Data Sufficiency
- Topic: In the \(xy\)-plane, is angle \(BAC = 60\) degrees?
- Replies: 0
- Views: 216
If \(x\) and \(y\) are positive integers, which of the following is NOT a possible value for
Problem Solving
If \(x\) and \(y\) are positive integers, which of the following is NOT a possible value for
If \(x\) and \(y\) are positive integers, which of the following is NOT a possible value for \(\dfrac{3\cdot 2^x\cdot 18^x}{6^{x+y}}?\)
A. \(\dfrac1{12}\)
B. \(\dfrac12\)
C. \(\dfrac23\)
D. \(3\)
E. \(18\)
Answer: C
Source: Manhattan GMAT
- by M7MBA
Sun Dec 26, 2021 3:49 pm- Forum: Problem Solving
- Topic: If \(x\) and \(y\) are positive integers, which of the following is NOT a possible value for
- Replies: 0
- Views: 252
If \(x, y,\) and \(z\) are three-digit positive integers and if \(x = y + z,\) is the hundreds digit of \(x\) equal to
Data Sufficiency
If \(x, y,\) and \(z\) are three-digit positive integers and if \(x = y + z,\) is the hundreds digit of \(x\) equal to
If \(x, y,\) and \(z\) are three-digit positive integers and if \(x = y + z,\) is the hundreds digit of \(x\) equal to the sum of the hundreds digits of \(y\) and \(z?\) (1) The tens digit of \(x\) is equal to the sum of the tens digits of \(y\) and \(z.\) (2) The units digit of \(x\) is equal to th...
- by M7MBA
Sun Dec 26, 2021 3:46 pm- Forum: Data Sufficiency
- Topic: If \(x, y,\) and \(z\) are three-digit positive integers and if \(x = y + z,\) is the hundreds digit of \(x\) equal to
- Replies: 0
- Views: 234
If \(0<a<\dfrac1{b}<1\) then which of the following must be true?
If \(0<a<\dfrac1{b}<1\) then which of the following must be true?
(A) \(a>b>b^2\)
(B) \(b>a>a^2>b^2\)
(C) \(b^2>a>a^2>b\)
(D) \(b^2>a^2>b>a\)
(E) \(b^2>b>a>a^2\)
Answer: E
Source: Manhattan GMAT
- by M7MBA
Sun Dec 26, 2021 3:44 pm- Forum: Problem Solving
- Topic: If \(0<a<\dfrac1{b}<1\) then which of the following must be true?
- Replies: 0
- Views: 255
Assume that neither \(x\) nor \(y\) is equal to \(0,\) to permit division by \(x\) and by \(y.\) What is the ratio
Data Sufficiency
Assume that neither \(x\) nor \(y\) is equal to \(0,\) to permit division by \(x\) and by \(y.\) What is the ratio
Assume that neither \(x\) nor \(y\) is equal to \(0,\) to permit division by \(x\) and by \(y.\) What is the ratio \(x:y:z?\)
(1) \(x + y = 2z\)
(2) \(2x + 3y = z\)
Answer: C
Source: Manhattan GMAT
- by M7MBA
Sun Dec 26, 2021 3:39 pm- Forum: Data Sufficiency
- Topic: Assume that neither \(x\) nor \(y\) is equal to \(0,\) to permit division by \(x\) and by \(y.\) What is the ratio
- Replies: 0
- Views: 204
The \(6\) seats across the front row of an airplane are labeled \(A\) to \(F.\) The seats labeled \(A\) and \(F\) are
Problem Solving
The \(6\) seats across the front row of an airplane are labeled \(A\) to \(F.\) The seats labeled \(A\) and \(F\) are
The \(6\) seats across the front row of an airplane are labeled \(A\) to \(F.\) The seats labeled \(A\) and \(F\) are window seats. The \(4\) members of the Rourke family, including a baby, are being seated in these \(6\) seats. Given that the baby must be given a window seat, and the family must si...
- by M7MBA
Sun Dec 26, 2021 3:37 pm- Forum: Problem Solving
- Topic: The \(6\) seats across the front row of an airplane are labeled \(A\) to \(F.\) The seats labeled \(A\) and \(F\) are
- Replies: 0
- Views: 265
If the operation \(\#\) is one of the four arithmetic operations addition, subtraction, multiplication, and division, is
Data Sufficiency
If the operation \(\#\) is one of the four arithmetic operations addition, subtraction, multiplication, and division, is
If the operation \(\#\) is one of the four arithmetic operations addition, subtraction, multiplication, and division, is \((6\#2)\#4 = 6\#(2\#4)\)
(1) \(3\#2 > 3\)
(2) \(3\#1 = 3\)
Answer: A
Source: GMAT Prep
- by M7MBA
Sun Dec 26, 2021 3:34 pm- Forum: Data Sufficiency
- Topic: If the operation \(\#\) is one of the four arithmetic operations addition, subtraction, multiplication, and division, is
- Replies: 1
- Views: 305