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Number Theory questions

Dear all,Where can I find number theory practice questions?

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If X, Y and z are integers and xyz is divisible by 8, is x

Please help explain:If x,y, and z are integers and xyz is divisible by 8, is x even?1. yz is divisible by 4.2. x,y, and z are all NOT divisible by 4.I could not comprehend the explanation given by...

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GMAT QUANT ONLINE PREP ENQUIRY

Hello,Guys please help me out here. Is there any online Quant prep course ONLY for the QUANT section ?Not too costly please .Thanks.

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Bill has a set of 6 black cards and a set of 6 red cards.

Bill has a set of 6 black cards and a set of 6 red cards. Each card has a number from 1 through 6, such that each of the numbers 1 through 6 appears on 1 black card and 1 red card. Bill likes to play a...

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A total of hundred students were asked

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In a certain survey, each of 800 people expressed

YesNoUnsureA500200100B400300100In a certain survey, each of 800 people expressed their attitude to A and B. They can say yes, no, or unsure. If 200 people said yes to A but not to B, how many people...

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Is a

Is a<0?(1) a^3<a^2+2a(2) a^2>a^3

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There are 7 Physics and 1 chemistry book in shelf A

There are 7 Physics and 1 Chemistry book in shelf A and 5 Physics books in Shelf B, one book is moved from shelf A to shelf B. A student picks up a book from shelf B. Find the probability that the...

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If a is a positive whole number, is b also a positive whole

If a is a positive whole number, is b also a positive whole number? (1) The average (arithmetic mean) of a, b + 2, and a - 5 is a. (2) The average (arithmetic mean) of a and b is NOT a positive whole...

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Car X leaves Town A at 2 p.m. and drives toward Town B at a

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Mixture A is 20% oil and 80% material B by weight.

Mixture A is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture A, how many kilograms of mixture A must be added to make a 70% material B in the new...

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Help me to understand why this value converts to that value

I am struggling using the Mahattan Quant guides to understand an exponent question.Why does 6^60+6^60+6^60=6^61? At first I thought 6^180 but I'm not multiplying so that rule doesn't apply. Then I...

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A is a set holding only all possible solutions of x, and B

(x-a)(x-b)(x-c)(x-d) = 0(y-a) (y-b) (y - c) (y- d ) = 0A is a set holding only all possible solutions of x, and B is a set holding only all possible solutions of y. if a , b ,c and d are four unequal...

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A class consists of boys and girls only. On a final exam in

A class consists of boys and girls only. On a final exam in physics, the average score of the girls is 62 and the average score of the boys is 60. Is the average score of the class 61 ?(1) Mathew is...

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The possible arguments of the functions f(x,y) and g(x,y)

The possible arguments of the functions f(x,y) and g(x,y) are x=0 or 1 and y = 0 or 1 and are defined by the following tables (Attachment) :What is the value of f(a,b) + g(a,b) ?(1)f(a,b) = 0(2)g(a,b)= 0

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When which digit in 467*15*23 is added 1

When which digit in 467*15*23 is added 1, the product changes by least value?a. 1b. 2c. 6d. 7e. 5

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A bag contains 3 red and 2 black ball

A bag contains 3 red and 2 black ball. Another bag contains 4 red and 5 black balls. A ball is drawn from the first bag and is placed in the second. A ball is then drawn from the second. What is the...

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If (y+3)(y-1) – (y-2)(y-1) = r(y-1), what is the value of y?

If (y+3)(y-1) (y-2)(y-1) = r(y-1), what is the value of y?(1) r2 = 25(2) r = -5Don't forget the Kudos if you think this helped you

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Z is a set of positive numbers.The median of Z is greater

1. Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following must be true?I) At least 50% of the numbers in Z are smaller than the median.II) Less than 50%...

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Free GMAT Sample Paper

The average of x, 1x and 1x2 isA. 1+x23xB. 1+x2+x33x2C. 1+x+x23x2D. 1x+x23xE. 1+x2+x33

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