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What is the remainder when 2^k is divided by 10?
What is the remainder when \(2^k\) is divided by 10?1) k is a positive multiple of 102) k is a positive multiple of 4
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Combinations-PS
Factory X and factory Y are among the 5 factories in a certain manufacturing business. If the CEO of a business must visit the 5 factories every day, in how many different possible orders can the CEO...
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If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of th
If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of the ordered pairs (a,b)?A. 2B. 4C. 6 D. 8 E. 10
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If ab - 2b = (4 - a)b, what is the value of b?
If ab - 2b = (4 - a)b, what is the value of b?(1) |a^2 - 9| 0(2) a < 0
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Factory X and factory Y are among the 5 factories in a certain manufac
Factory X and factory Y are among the 5 factories in a certain manufacturing business. If the CEO of a business must visit the 5 factories every day, in how many different possible orders can the CEO...
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If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of th
If a, b are integers, and (a-b)^2 + 8b^2=108, what is the number of the ordered pairs (a,b)?A. 2B. 4C. 6 D. 8 E. 10
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Division Rules
Hi, I am looking for some clarity on when we CAN and CANNOT divide by a variable. Scenario 1:x^2 = 10xx^2/x = 10x/x would be incorrect.We would need to solve this as follows:x^2 - 10x = 0x(x - 10) =...
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If x,y,z are positive integers,is the product x*y*z divisibly by 21?
If x,y,z are positive integers,is the product x*y*z divisibly by 21?(1) The greatest common factor of x, y, and z is 3.(2) The lowest common multiple of x, y, and z is 63.Source->Self-Made
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There is a sequence an for a positive integer such that a3=a1+a2, a4=
There is a sequence an for a positive integer such that a3=a1+a2, a4=a3+a2+a1, an =an-1+an-2+an-3+.+a2+a1. If an=p, an+2=?A. 2p B. 4p C. 8p D. 16p E. 24p
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If a positive integer n is given by n=26p where p is a prime number
If a positive integer \(n\) is given by \(n=26*p\) where \(p\) is a prime number greater than 2,how many even divisors does n have ?A)4B)3C)2D)1E)cannot be determined.Source-> Self-Made
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On the number line shown, is zero halfway between r and s ?
(1) s is the right of zero(2) the distance between t and r is the same as the distance between t and -s.Do we know that the points are in the order shown in the figure ? (or can they be in a different...
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If N is a positive integer, what is the value of N?
If \(N\) is a positive integer,what is the value of \(N\)? (1) \(N\) is divisible by 31.(2) \(\frac{N}{100}\) is a prime number.Source->Self-Made
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If b is a positive integer, then b has how many distinct positive fact
If b is a positive integer, then b has how many distinct positive factors?(1) all of b's factors are also factors of 62.(2) b is the product of one even prime number and one odd prime number.
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If n is positive, is n an integer?
If n is positive, is n an integer?(1) 3n is an integer(2) n < n^2
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How many factors does y have?
How many factors does y have?(1) y is the cube of an integer.(2) y is the product of 2 distinct positive digits.
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Given that a and b are positive, is the ratio a:b greater than 5
Given that a and b are positive, is the ratio a:b greater than 5?(1) a is 3 more than 5 times b(2) The ratio of 4a to 5b is greater than 4
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A number is said to be prime saturated if the product of all the diffe
A number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n.If p is a prime saturated,what is the value of p?A)p is a...
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