# STUDY ENGLISH LANGUAGE

## Collection by Caroline_study_girl • Last updated 2 weeks ago

## GRE

### GRE Math Challenge #140-y or 4x

( y )( 4x ) A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given. Kudos for the right answer and explanation ...

### A 20-foot ladder leaning against a vertical wall with the ba

triangle.jpg A 20-foot ladder leaning against a vertical wall with the base of the ladder 10 feet from the wall is pulled 2 feet farther out from the wall, causing the top of the ladder to drop x feet. (x)(2) ...

### A photographer is using a bipod to steady his camera while t

GRE A photographer is using a bipod to.png A photographer is using a bipod to steady his camera while taking pictures, as shown in the figure above. The legs of the bipod are 5 feet long and are currently 6 ...

### 25% of (1/4)% of x

x 0 1/16 of 10% of x A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

### 3. GRE Lesson: Triangles - Part I

Hi guys! So, this is the second time I face this type of problem involving the sides of a triangle. Here is type of comparison question: The lengths of two sides of a triangle are 7 and 11 4 A) ...

### 1. GRE Lesson: Mean Median Mode

In a class with 20 students, a test was administered and was scored only in whole numbers from 0 to 10. At least one student got every possible score, and the average score was 7. (The lowest score that could ...

### The sum of the multiples of 4 less than 100 or The sum of

The sum of the multiples of 5 less than 100 (A) The quantity in Column A is greater (B) The quantity in Column B is greater (C) The two quantities are equal (D) The relationship cannot be determined from the ...

### At a certain company, employees who earn $20.00 per hour wi

At a certain company, employees who earn $20.00 per hour will be given an increase of $1.00 per hour. For each of the other employees, either the employee will be given an increase of $1.00 per hour or the employee ...

### If a = 16b and b is a prime number greater than 2, how many

If a = 16b and b is a prime number greater than 2, how many positive distinct factors does a have? 10

### term after the first term is equal to the preceding term

a_1, a_2, a_3 ................ a_n In the sequence above, each term after the first term is equal to the preceding term plus the constant c. If a_1+a_3+a_5=27, what is the value of a_2+a_4 ? a_2+a_4= 18 Practice Questions Question: 24 ...

### One day at PQR high school

One day at PQR high school, 1/12 th of the students were absent, and 1/5 of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are ...

### The function f has the property that f(x) = f(x + 1)

The function f has the property that f(x) = f(x + 1) for all numbers x. If f (4) = 17, what is the value of f(8) ? 17 Practice Questions Question: 17 Page: 85

### In how many ways can 4 boys and 3 girls be seated at a round

In how many ways can 4 boys and 3 girls be seated at a round table? 720

### If 7x + 3y = 17 and 3x + 7y = 19, what is the average (arith

If 7x + 3y = 17 and 3x + 7y = 19, what is the average (arithmetic mean) of x and y? 18/10

### If the operation ∆ is defined by a∆b = (b-a)^2/a^2 for all n

If the operation ∆ is defined by a∆b = (b-a)^2/a^2 for all number a and b, and a ≠ 0, then -1∆(1∆ -1) = 25

### One animal is to be selected from a group of 60 animals. The

One animal is to be selected from a group of 60 animals. The probability that the selected animal will be a cat is 0.35, and the probability that the selected animal will be a female cat is 0.2. ( The ...

### Identical blocks are stacked in rows to create a tower 24 ro

Identical blocks are stacked in rows to create a tower 24 rows tall. If the top row of the tower consists of four blocks, and each row below the top row consists of eight more blocks than the row directly ...

### The diameters of the semicircles above are 8, and the diamet

GRE The diameters of the semicircles above are 8.png The diameters of the semicircles above are 8, and the diameter of the semicircle on the right is perpendicular to those of the other two semicircles. What is the total area ...

### 17. GRE Lesson: Calculating Combinations

The number of different subsets of 4 elements that can be selected from a set of 6 elements is 15. How many different subsets of 3 elements can be selected from a set of 7 elements? A. 55 B. 42 ...

### James' age is between that of Gwen and Lucille and Is closer

James' age is between that of Gwen and Lucille and is closer to Gwen's age than to Lucille's. Gwen is between 30 and 40 years old, inclusive. Lucille is less than 70 years old, and her age In years has ...

### The time it took car A to travel 400 miles was 2 hours less

The time it took car A to travel 400 miles was 2 hours less than the time it took car B to travel the same distance. If car A's average speed was 10 miles per hour greater than that of ...

### Four different boards consist of 7, 10, 11, and 15 members.

Four different company boards consist of 7, 10 , 11, and 15 members respectively. If x is the total number of people of the 4 boards combined what is the least possible value of x? Answer: 15

### In the xy-plane, line k is a line that does not pass throug

In the xy-plane, line k is a line that does not pass through the origin. Which of the following statements individually provide(s) sufﬁcient additional information to determine whether the slope of line k is negative? Indicate all such statements. A. ...

### In the xy plane, which of the statements below individually

In the xy plane, which of the statements below individually provide enough information to determine whether line z passes through the origin? Indicate all such statements. The equation of line z is y = mx + b and b = ...

### The probability that event A occurs and event B does not occ

The probability that event A occurs and event B does not occur is greater than 1/4. The probability that event B occurs and event A does not occur is greater than 1/4 . The probability that neither of the events ...

## TOEFL

### GRE Math Challenge #140-y or 4x

( y )( 4x ) A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given. Kudos for the right answer and explanation ...

### A 20-foot ladder leaning against a vertical wall with the ba

triangle.jpg A 20-foot ladder leaning against a vertical wall with the base of the ladder 10 feet from the wall is pulled 2 feet farther out from the wall, causing the top of the ladder to drop x feet. (x)(2) ...

### A photographer is using a bipod to steady his camera while t

GRE A photographer is using a bipod to.png A photographer is using a bipod to steady his camera while taking pictures, as shown in the figure above. The legs of the bipod are 5 feet long and are currently 6 ...

### 25% of (1/4)% of x

x 0 1/16 of 10% of x A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.

### 3. GRE Lesson: Triangles - Part I

Hi guys! So, this is the second time I face this type of problem involving the sides of a triangle. Here is type of comparison question: The lengths of two sides of a triangle are 7 and 11 4 A) ...

### 1. GRE Lesson: Mean Median Mode

In a class with 20 students, a test was administered and was scored only in whole numbers from 0 to 10. At least one student got every possible score, and the average score was 7. (The lowest score that could ...

### The sum of the multiples of 4 less than 100 or The sum of

The sum of the multiples of 5 less than 100 (A) The quantity in Column A is greater (B) The quantity in Column B is greater (C) The two quantities are equal (D) The relationship cannot be determined from the ...

### At a certain company, employees who earn $20.00 per hour wi

At a certain company, employees who earn $20.00 per hour will be given an increase of $1.00 per hour. For each of the other employees, either the employee will be given an increase of $1.00 per hour or the employee ...

### If a = 16b and b is a prime number greater than 2, how many

If a = 16b and b is a prime number greater than 2, how many positive distinct factors does a have? 10

### term after the first term is equal to the preceding term

a_1, a_2, a_3 ................ a_n In the sequence above, each term after the first term is equal to the preceding term plus the constant c. If a_1+a_3+a_5=27, what is the value of a_2+a_4 ? a_2+a_4= 18 Practice Questions Question: 24 ...

### One day at PQR high school

One day at PQR high school, 1/12 th of the students were absent, and 1/5 of those present went on a field trip. If the number of students staying in the school that day was 704, how many students are ...

### The function f has the property that f(x) = f(x + 1)

The function f has the property that f(x) = f(x + 1) for all numbers x. If f (4) = 17, what is the value of f(8) ? 17 Practice Questions Question: 17 Page: 85

### In how many ways can 4 boys and 3 girls be seated at a round

In how many ways can 4 boys and 3 girls be seated at a round table? 720

### If 7x + 3y = 17 and 3x + 7y = 19, what is the average (arith

If 7x + 3y = 17 and 3x + 7y = 19, what is the average (arithmetic mean) of x and y? 18/10

### If the operation ∆ is defined by a∆b = (b-a)^2/a^2 for all n

If the operation ∆ is defined by a∆b = (b-a)^2/a^2 for all number a and b, and a ≠ 0, then -1∆(1∆ -1) = 25

### One animal is to be selected from a group of 60 animals. The

One animal is to be selected from a group of 60 animals. The probability that the selected animal will be a cat is 0.35, and the probability that the selected animal will be a female cat is 0.2. ( The ...