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If a < b < c < d and a, b, c, and d all are powers of 2

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If a < b < c < d and a, b, c, and d all are powers of 2 and all are positive integers. What is the value of d?

(1) a + b + c + d = 170
(2) abcd = 216

Where to learn how to solve mixture questions?

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Hi everyone!

Question: Is there a place, website, youtube channel, whatever, that has ALL of the information required to learn to solve mixture questions?

I am asking because every time I try to learn them, I think "this Q will never come up on the GMAT anyways, I'm not gotta google stuff for a week to learn to solve something I most likely will never see"

So for the lazy people like me, can you tell me a page that just has all of the necessary information?

Age Problem

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The product of Ron's age, in years, and half of George's age, in years, is 42. If Ron is 5 years older than George is, then how old is Ron ?

(A) 7
(B) 8
(C) 9
(D) 10
(E) 12

Geometry

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What is the length of minor arc AB in the circle above which has a diameter of CD equaling 12?

(A) 2
(B) 4
(C) 6
(D) 8
(E) It cannot be determined with the information given.

Geometry

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a dart is thrown and lands somewhere in the circle, what is the
probability that it will not fall within the inscribed square? (Assume that the
point in the circle where the dart lands is completely random.) (19/5/2003)
(A) 2x
(B) \pi(x) 2x
(C) \pi(x) \sqrt{2}x
(D) 1 \frac{2}{\pi}
(E) 1 \frac{2}{x}

The chart above represents the number of students at five schools, eac

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The chart above represents the number of students at five schools, each of which has branches in each of four towns. In which town is the standard deviation of the number of students at each school the least?

A. Town A
B. Town B
C. Town C
D. Town D
E. Cannot be determined.

[Reveal] Spoiler:
Attachment:
2017-01-12_1108.png

The chart above represents the number of students at five schools, eac

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The chart above represents the number of students at five schools, each of which has branches in each of four towns. In which town is the standard deviation of the number of students at each school the greatest?

A. Town A
B. Town B
C. Town C
D. Town D
E. It cannot be determined from the information given.

If -2< x

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If -2< x <11 , then which of the following must me true?

A. x > -1.9999999999
B. x < 10.999999999
C. \(x^3\) > 0
D. \(x^2\) < 100
E. -100<x<20

Kudos for right solutions

Is xy < 4 ? (1) x + y < 2 (2) x < 2 , y > 2

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Is xy < 4 ?

(1) x + y < 2
(2) x < 2 and y > 2

Is a b ?

Is x between 0.1 and 0.7 ? (1) 250x > 50 (2) 300x < 150

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Is x between 0.1 and 0.7 ?

(1) 250x > 50
(2) 300x < 150

If 1 y 0 and z -2 , then which of the following cannot be the valu

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If 1 y 0 and z -2 , then which of the following cannot be the value of y - z?

A. 3
B. 2.75
C. 2.5
D. 2
E. 1.5

If 9 > g > 0 and 10 < h < 7 , then which of the following expresses

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If 9 > g > 0 and 10 < h < 7 , then which of the following expresses all possible values of the product gh?

A. 70 > gh > 90
B. 63 > gh > 90
C. 63 > gh > 0
D. 0 > gh > 90
E. 0 > gh > 63

Is 3x + y > 3?

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Is 3x + y > 3?

(1) y/3 > 1
(2) x > 1/3

Is xy > 25 ? (1) x < 5 and y < 5 (2) 2xy > 60

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Is xy > 25 ?

(1) x < 5 and y < 5
(2) 2xy > 60

Is non-negative integer x an even integer?

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Is non-negative integer x an even integer?
1)x<k, where k is the number of digits in x.
2)k=1

Self made

For all positive integers m, (m)=3m when m is odd and (m)= 1/2m when m

A number of apples and oranges are to be distributed evenly among a nu

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A number of apples and oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one of each type of fruit. If there are 20 oranges to be distributed, what is the minimum number of apples needed so that every basket contains less than twice as many apples as oranges?

(1) If the number of baskets were halved and all other conditions remained the same, there would be
twice as many oranges in every remaining basket.

(2) If the number of oranges were halved, it would no longer be possible to place an orange in every
basket.

Please help with this DS problem.

Area of a Triangle

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Following are the vertexes of a triangle, (0,0), (0,a) and (a,b)
What is the area of triangle

a) Diagonal of the triangle is 10
b) a and b are positive integers

SET Question

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In school V, all students must take at least one of Mathematics, Physics, or Biology. If none of the students took 3 classes, the number of students who took Mathematics class is 18, the number of students who took Physics class is 23, and the number of students who took Biology class is 20. And also 3 students took both Mathematics class and Physics class, 8 students took both Physics class and Biology class, and 6 students took both Biology class and Mathematics class. What is the total number of students in school V?

A. 11
B. 22
C. 33
D. 44
E. 55
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