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The sum of the digits of \([(10^x)^y]-64=279.\) What is the value of \(xy?\)

The sum of the digits of \([(10^x)^y]-64=279.\) What is the value of \(xy?\)

A. 28
B. 29
C. 30
D. 31
E. 32

Answer: E

Source: Veritas Prep


The function \(f(n) =\) the number of factors of \(n.\) If \(p\) and \(q\) are positive integers and \(f(pq) = 4,\) what

The function \(f(n) =\) the number of factors of \(n.\) If \(p\) and \(q\) are positive integers and \(f(pq) = 4,\) what is the value of \(p?\)

(1) \(p + q\) is an odd integer.

(2) \(q\) is less than \(p.\)

Answer: E

Source: Manhattan GMAT


If \(a, b,\) and \(c\) are positive integers, is \(b\) between \(a\) and \(c?\)

If \(a, b,\) and \(c\) are positive integers, is \(b\) between \(a\) and \(c?\)

(1) \(b\) is \(3\) greater than \(a,\) and \(b\) is \(5\) less than \(c.\)
(2) \(c\) is \(5\) greater than \(b\), and \(c\) is \(8\) greater than \(a.\)

Answer: D

Source: GMAT Prep


\(7^3+21^3=\)

\(7^3+21^3=\)

A. \(7^4\cdot 2^2\)

B. \(7^3\cdot 2^4\)

C. \(7^3\cdot 3^3\)

D. \(7^3\cdot 3^4\)

E. \(7^4\cdot 3^3\)

Answer: A

Source: Veritas Prep

by M7MBA

Thu Jul 22, 2021 7:23 am
Forum: Problem Solving
Topic: \(7^3+21^3=\)
Replies: 0
Views: 29

How many of the 42 people in a group are employed students?

How many of the 42 people in a group are employed students?

(1) 29 of the 42 people are employed.
(2) 24 of the 42 people are students.

Answer: E

Source: GMAT Prep

by M7MBA

Thu Jul 22, 2021 7:19 am
Forum: Data Sufficiency
Topic: How many of the 42 people in a group are employed students?
Replies: 1
Views: 57

For any positive integer \(n\) greater than \(1, n!\) denotes the product of all the integers from \(1\) to \(n,\) inclu

For any positive integer \(n\) greater than \(1, n!\) denotes the product of all the integers from \(1\) to \(n,\) inclusive. If \(A\) is a positive integer such that the greatest number that divides both \(A^3\) and \(13!\) is \(448,\) which of the following can be the value of \(A?\) A. 14 B. 56 C...


If the average (arithmetic mean) of the five numbers \(x, 7, 2, 16,\) and \(11\) is equal to the median of five numbers,

If the average (arithmetic mean) of the five numbers \(x, 7, 2, 16,\) and \(11\) is equal to the median of five numbers, what is the value of \(x?\)

(1) \(7 < x < 11.\)
(2) \(x\) is the median of the five numbers.

Answer: D

Source: GMAT Prep


An empty swimming pool with a capacity of 5,760 gallons is filled at the rate of 12 gallons per minute. How many hours

An empty swimming pool with a capacity of 5,760 gallons is filled at the rate of 12 gallons per minute. How many hours does it take to fill the pool to capacity?

(A) 8

(B) 20

(C) 96

(D) 480

(E) 720

Answer: A

Source: Official Guide


It takes Amy between 6 and 7 minutes to grill a steak, and she can only grill one steak at a time. She does not need to

It takes Amy between 6 and 7 minutes to grill a steak, and she can only grill one steak at a time. She does not need to take breaks between steaks. Can Amy finish grilling all the steaks needed for her party before her guests arrive? (1) Amy needs to grill four steaks for her party. (2) Amy's guests...


If Mario was \(32\) years old \(8\) years ago, how old was he \(x\) years ago?

If Mario was \(32\) years old \(8\) years ago, how old was he \(x\) years ago?

(A) \(x-40\)
(B) \(x-24\)
(C) \(40 -x\)
(D) \(24 - x\)
(E) \(24 + x\)

Answer: C

Source: Official Guide


For any integers \(x\) and \(y,\) \(\min(x, y)\) and \(\max(x, y)\) denote the minimum and the maximum of \(x\) and

For any integers \(x\) and \(y,\) \(\min(x, y)\) and \(\max(x, y)\) denote the minimum and the maximum of \(x\) and \(y,\) respectively. For example, \(\min(5, 2) = 2\) and \(\max(5, 2) = 5.\) For the integer \(w,\) what is the value of \(\min(10, w)?\) (1) \(w = \max(20, z)\) for some integer \(z.\...


Among 200 people, 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30% of the people like

Among 200 people, 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam? A. 20 B. 60 C. 80 D. 86 E. 92 Answe...


What is the value of \(27^2 + 28^2 + 29^2 + 30^2 + 31^2 + 32^2 + 33^2?\)

What is the value of \(27^2 + 28^2 + 29^2 + 30^2 + 31^2 + 32^2 + 33^2?\)

A. 6298
B. 6308
C. 6318
D. 6328
E. 6338

Answer: D

Source: GMAT Club Tests