## Search found 6249 matches

##### Re: If \(d > 0\) and \(0 < 1 - \dfrac{c}{d} < 1,\) which of the following must be true?

If \(d > 0\) and \(0 < 1 - \dfrac{c}{d} < 1,\) which of the following must be true? I. \(c > 0\) II. \(\dfrac{c}{d} < 1\) III. \(c^2 + d^2 > 1\) (A) I only (B) II only (C) I and II only (D) II and III only (E) I, II, and III Answer: C Source: Official Guide Solution: Let’s simplify the double inequ...

- by [email protected]

Fri May 14, 2021 6:59 am- Forum: Problem Solving
- Topic: If \(d > 0\) and \(0 < 1 - \dfrac{c}{d} < 1,\) which of the following must be true?
- Replies:
**1** - Views:
**39**

##### Re: If it is true that \(x > -2\) and \(x < 7,\) which of the following must be true?

If it is true that \(x > -2\) and \(x < 7,\) which of the following must be true? A. \(x > 2\) B. \(x > -7\) C. \(x< 2\) D. \(-7 < x < 2\) E. none of the above. Answer: B Source: Official Guide Solution: If x > -2 and x < 7, the value of x is between -2 and 7. Because all of these values are greate...

- by [email protected]

Fri May 14, 2021 6:57 am- Forum: Problem Solving
- Topic: If it is true that \(x > -2\) and \(x < 7,\) which of the following must be true?
- Replies:
**1** - Views:
**35**

#### At a certain instant in time, the number of cars, \(N,\) traveling on a portion of a certain highway can be estimated by

###### Problem Solving

##### Re: At a certain instant in time, the number of cars, \(N,\) traveling on a portion of a certain highway can be estimate

At a certain instant in time, the number of cars, \(N,\) traveling on a portion of a certain highway can be estimated by the formula \(N=\dfrac{20Ld}{600+s^2}\) where \(L\) is the number of lanes in the same direction, \(d\) is the length of the portion of the highway, in feet, and s is the average...

- by [email protected]

Fri May 14, 2021 6:56 am- Forum: Problem Solving
- Topic: At a certain instant in time, the number of cars, \(N,\) traveling on a portion of a certain highway can be estimated by
- Replies:
**1** - Views:
**35**

#### If \(0\leq x\leq 4\) and \(y<12,\) which of the following CANNOT be the value of \(xy?\)

###### Problem Solving

##### Re: If \(0\leq x\leq 4\) and \(y<12,\) which of the following CANNOT be the value of \(xy?\)

**Solution:**

Since x ≤ 4 and y < 12, then:

xy < 4 * 12

xy < 48

So xy can’t be exactly 48.

**Answer: E**

- by [email protected]

Fri May 14, 2021 6:56 am- Forum: Problem Solving
- Topic: If \(0\leq x\leq 4\) and \(y<12,\) which of the following CANNOT be the value of \(xy?\)
- Replies:
**1** - Views:
**30**

#### A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is

###### Problem Solving

##### Re: A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n,

Source: Official Guide A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is equal to 2n. What is the sum of the reciprocals of all the positive factors of the perfect number 28? A. 1/4 B. 56/27 C. 2 D. 3 E. 4 The OA is C Solution: Th...

- by [email protected]

Fri May 14, 2021 6:55 am- Forum: Problem Solving
- Topic: A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is
- Replies:
**1** - Views:
**44**

##### Re: Concept being tested here is

If r and sare positive integers, can the fraction Â£be expressed as a decimal with only a finite number of nonzero digits? (1) s is a factor of 100. (2) r is a factor of 100. Solution: Question Stem Analysis: We need to determine whether r/s can be expressed as a decimal with only a finite number o...

- by [email protected]

Fri May 14, 2021 6:51 am- Forum: Data Sufficiency
- Topic: Concept being tested here is
- Replies:
**2** - Views:
**773**

##### Re: Qn #80 in OG12

If r > 0 and s > 0, is r/s < s/r? (1) r / 3s = 1/4 (2) s = r + 4 OA: D Solution: Question Stem Analysis: We need to determine whether r/s < s/r given that both r and s are positive. Notice that r/s < s/r if r < s when both r and s are positive. Therefore, we really need to determine whether r < s. ...

- by [email protected]

Fri May 14, 2021 6:46 am- Forum: Data Sufficiency
- Topic: Qn #80 in OG12
- Replies:
**5** - Views:
**1798**

##### Re: dint get the explanation in OG

In the xy coordinate plane, is point R equidistant from points (-3,-3) and (1,-3)? 1) The x coordinate of point R is -1 2) Point R lies on the line y= -3 Solution: Question Stem Analysis: We need to determine whether point R is equidistant from points (-3,-3) and (1,-3), If it is, then it must be o...

- by [email protected]

Fri May 14, 2021 6:41 am- Forum: Data Sufficiency
- Topic: dint get the explanation in OG
- Replies:
**2** - Views:
**884**

##### Re: OG What is the area of triangular region ABC above?

https://s2.postimg.org/koh4ft0ph/Tri_ABC.png What is the area of triangular region ABC above? (1) The product of BD and AC is 20. (2) x = 45 A Solution: Question Stem Analysis: We need to determine the area of triangle ABC. Notice that AC is the base and the BD is the height of the triangle, theref...

- by [email protected]

Fri May 14, 2021 6:28 am- Forum: Data Sufficiency
- Topic: OG What is the area of triangular region ABC above?
- Replies:
**3** - Views:
**1774**

#### A tank is filled with gasoline to a depth of exactly 2 feet. The tank is a cylinder resting horizontally on its side, wi

###### Data Sufficiency

##### Re: A tank is filled with gasoline to a depth of exactly 2 feet. The tank is a cylinder resting horizontally on its side

A tank is filled with gasoline to a depth of exactly 2 feet. The tank is a cylinder resting horizontally on its side, with its circular ends oriented vertically. The inside of the tank is exactly 6 feet long. What is the volume of gasoline in the tank? (1) The inside of the tank is exactly 4 feet i...

- by [email protected]

Fri May 14, 2021 6:19 am- Forum: Data Sufficiency
- Topic: A tank is filled with gasoline to a depth of exactly 2 feet. The tank is a cylinder resting horizontally on its side, wi
- Replies:
**1** - Views:
**93**

#### On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. W

###### Data Sufficiency

##### Re: On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hour

On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. What was her average speed, in miles per hour, for the entire trip? (1) 2x + 3y = 280 (2) y = x + 10 Answer: A Source: official guide Solution: Question Stem Analysis: We need to d...

- by [email protected]

Fri May 14, 2021 6:17 am- Forum: Data Sufficiency
- Topic: On a certain nonstop trip, Marta averaged x miles per hour for 2 hours and y miles per hour for the remaining 3 hours. W
- Replies:
**3** - Views:
**100**

##### Re: OG Two points, N and Q

https://s2.postimg.org/rqf2204b9/Nand_Q.png Two points, N and Q (not shown), lie to the right of point M on line â„“. What is the ratio of the length of QN to the length of MQ? (1) Twice the length of MN is 3 times the length of MQ. (2) Point Q is between points M and N. A Solution: Question Stem A...

- by [email protected]

Fri May 14, 2021 6:13 am- Forum: Data Sufficiency
- Topic: OG Two points, N and Q
- Replies:
**2** - Views:
**1572**

##### Re: 7, 9, 6, 4, 5, x If x is a number in the list above

7, 9, 6, 4, 5, x If x is a number in the list above, what is the median of the list? (1) x > 7 (2) The median of the list equals the arithmetic mean of the list. A Source: Official Guide 2020 Solution: Question Stem Analysis: We need to determine the median of a list consisting of 6 numbers, includ...

- by [email protected]

Fri May 14, 2021 6:11 am- Forum: Data Sufficiency
- Topic: 7, 9, 6, 4, 5, x If x is a number in the list above
- Replies:
**3** - Views:
**495**

##### Re: If a merchant purchased a sofa from a manufacturer for $400

If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa? (1) The selling price of the sofa was greater than 140 percent of the purchase price. (2) The merchant's gross profit from the purchase and sale of the sofa was 1/3 of the selling p...

- by [email protected]

Fri May 14, 2021 6:09 am- Forum: Data Sufficiency
- Topic: If a merchant purchased a sofa from a manufacturer for $400
- Replies:
**3** - Views:
**774**

##### Re: 29-34

A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount? (1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater. (2) Before the discounts,...

- by [email protected]

Fri May 14, 2021 6:07 am- Forum: Data Sufficiency
- Topic: 29-34
- Replies:
**10** - Views:
**3594**