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#### Is positive integer $$x$$ divisible by $$48?$$

##### Is positive integer $$x$$ divisible by $$48?$$

Is positive integer $$x$$ divisible by $$48?$$

(1) $$x$$ is divisible by $$8.$$

(2) $$x$$ is divisible by $$6.$$

Source: Veritas Prep

by M7MBA

Sat Oct 16, 2021 6:02 am
Forum: Data Sufficiency
Topic: Is positive integer $$x$$ divisible by $$48?$$
Replies: 0
Views: 65

At a certain industrial manufacturer, an open tank contains $$6\%$$ fluorine dissolved in water. If the tank holds $$1000$$ gallons, and $$10$$ gallons of the total volume evaporate as water each day, what is the concentration of fluorine after $$25$$ days? A. $$4\%$$ B. $$6\%$$ C. $$8\%$$ D. $$10\%... #### In the figure above, line segment \(CZ = 6.$$ What is the length of line segment $$AB?$$

##### In the figure above, line segment $$CZ = 6.$$ What is the length of line segment $$AB?$$ In the figure above, line segment $$CZ = 6.$$ What is the length of line segment $$AB?$$

(1) Line segment $$XY = 4.$$

(2) Line segment $$AZ$$ is greater than Line segment $$AY.$$

Source: Veritas Prep

#### Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.”

##### Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.”

Dave has no fashion sense, and will wear any combination of garments regardless of whether someone thinks they “match.” Every day Dave chooses an outfit consisting of one of each of the following garments: jacket, tie, shirt, pants, boxers, right sock, left sock, right shoe, left shoe. If Dave has m...

#### In a decreasing sequence of seven consecutive even integers, the sum of the first four integers is 68. What is the produ

##### In a decreasing sequence of seven consecutive even integers, the sum of the first four integers is 68. What is the produ

In a decreasing sequence of seven consecutive even integers, the sum of the first four integers is 68. What is the product of the last three integers in the sequence?

A. 1,000
B. 960
C. 925
D. 30
E. 25

Source: Princeton Review

#### If $$8xy^3+8x^3y=\dfrac{2x^2y^2}{2^{-3}},$$ what is the value of $$xy?$$

##### If $$8xy^3+8x^3y=\dfrac{2x^2y^2}{2^{-3}},$$ what is the value of $$xy?$$

If $$8xy^3+8x^3y=\dfrac{2x^2y^2}{2^{-3}},$$ what is the value of $$xy?$$

(1) $$y > x$$
(2) $$x < 0$$

Source: Manhattan GMAT

by M7MBA

Sat Oct 16, 2021 5:36 am
Forum: Data Sufficiency
Topic: If $$8xy^3+8x^3y=\dfrac{2x^2y^2}{2^{-3}},$$ what is the value of $$xy?$$
Replies: 0
Views: 65

#### Two integers between $$1$$ and $$100,$$ inclusive, each randomly and independently chosen, are either added or multiplie

##### Two integers between $$1$$ and $$100,$$ inclusive, each randomly and independently chosen, are either added or multiplie

Two integers between $$1$$ and $$100,$$ inclusive, each randomly and independently chosen, are either added or multiplied, with an equal chance of either operation. What is the probability that the result is even? (A) $$\dfrac13$$ (B) $$\dfrac12$$ (C) $$\dfrac58$$ (D) $$\dfrac23$$ (E) $$\dfrac78$$ A...

#### Sara is taller than Ikuko, who is shorter than both Elias and Gertie. Is Ikuko at least five feet tall?

##### Sara is taller than Ikuko, who is shorter than both Elias and Gertie. Is Ikuko at least five feet tall?

Sara is taller than Ikuko, who is shorter than both Elias and Gertie. Is Ikuko at least five feet tall?

(1) The sum of Sara's, Elias', and Gertie's height is 15 feet.
(2) Elias and Gertie have an average height of 5 feet.

Source: Veritas Prep

#### Recently, fuel price has seen a hike of $$20\%.$$ Mr. $$X$$ is planning to buy a new car with better mileage as compared

##### Recently, fuel price has seen a hike of $$20\%.$$ Mr. $$X$$ is planning to buy a new car with better mileage as compared

Recently, fuel price has seen a hike of $$20\%.$$ Mr. $$X$$ is planning to buy a new car with better mileage as compared to his current car. By what $$\%$$ should the new mileage be more than the previous mileage to ensure that Mr. $$X$$’s total fuel cost stays the same for the month? (assuming the ...

#### Is John older than Ricardo?

##### Is John older than Ricardo?

Is John older than Ricardo?

(1) John is twice as old as Edgar, and Edgar is half as old as Clara.
(2) Ricardo is younger than Clara but older than Edgar.

Source: Veritas Prep

by M7MBA

Sat Oct 16, 2021 5:23 am
Forum: Data Sufficiency
Topic: Is John older than Ricardo?
Replies: 0
Views: 67

#### If $$3^k+3^k=(3^9)^{3^9}-3^k,$$ then what is the value of $$k?$$

##### If $$3^k+3^k=(3^9)^{3^9}-3^k,$$ then what is the value of $$k?$$

If $$3^k+3^k=(3^9)^{3^9}-3^k,$$ then what is the value of $$k?$$

(A) $$\dfrac{11}3$$

(B) $$\dfrac{11}2$$

(C) $$242$$

(D) $$3^{10}$$

(E) $$3^{11} - 1$$

Source: Manhattan GMAT

by M7MBA

Sat Oct 16, 2021 5:17 am
Forum: Problem Solving
Topic: If $$3^k+3^k=(3^9)^{3^9}-3^k,$$ then what is the value of $$k?$$
Replies: 0
Views: 71

#### What is the value of $$x?$$

##### What is the value of $$x?$$

What is the value of $$x?$$

(1) $$2x^2 + 18 = -12x$$
(2) $$x < 0$$

Source: Veritas Prep

by M7MBA

Sat Oct 16, 2021 5:11 am
Forum: Data Sufficiency
Topic: What is the value of $$x?$$
Replies: 0
Views: 62

#### The expression $$x[n]y$$ is defined for positive values of $$x$$ and $$y$$ and for positive integer values of $$n$$ as

##### The expression $$x[n]y$$ is defined for positive values of $$x$$ and $$y$$ and for positive integer values of $$n$$ as

The expression $$x[n]y$$ is defined for positive values of $$x$$ and $$y$$ and for positive integer values of $$n$$ as follows: $$xy = x^y,$$ If $$n$$ is odd, $$x[n+1]y = (x[n]y)^x,$$ If $$n$$ is even, $$x[n+1]y = (x[n]y)^y.$$ If $$y = \dfrac12$$ and $$xy = 2,$$ then $$x =$$ A. $$\dfrac14$$ B....

#### Can Alex throw the ball farther than Bob can?

##### Can Alex throw the ball farther than Bob can?

Can Alex throw the ball farther than Bob can?

(1) Alex can throw the ball farther than Charles.
(2) Charles cannot throw the ball farther than Bob.

Source: Veritas Prep

by M7MBA

Sat Oct 16, 2021 5:07 am
Forum: Data Sufficiency
Topic: Can Alex throw the ball farther than Bob can?
Replies: 0
Views: 67

#### If $$y$$ is $$80\%$$ greater than $$x,$$ than $$x$$ is what $$\%$$ less than $$y?$$

##### If $$y$$ is $$80\%$$ greater than $$x,$$ than $$x$$ is what $$\%$$ less than $$y?$$

If $$y$$ is $$80\%$$ greater than $$x,$$ than $$x$$ is what $$\%$$ less than $$y?$$

(A) $$20$$

(B) $$25$$

(C) $$33 \frac13$$

(D) $$44 \frac49$$

(E) $$80$$