## Search found 2876 matches

#### In the product \(2^{19}\cdot 9^{13}\cdot 5^{24},\) what is the digit in the \(20th\) place to the left of the decimal

###### Problem Solving

##### In the product \(2^{19}\cdot 9^{13}\cdot 5^{24},\) what is the digit in the \(20th\) place to the left of the decimal

In the product \(2^{19}\cdot 9^{13}\cdot 5^{24},\) what is the digit in the \(20th\) place to the left of the decimal point?

A. 0

B. 2

C. 4

D. 5

E. 9

Answer: D

Source: Veritas Prep

- by Vincen

Thu Jan 27, 2022 12:44 pm- Forum: Problem Solving
- Topic: In the product \(2^{19}\cdot 9^{13}\cdot 5^{24},\) what is the digit in the \(20th\) place to the left of the decimal
- Replies:
**0** - Views:
**9**

##### If \(CD\) is the diameter of the circle, does \(x\) equal \(30?\)

If \(CD\) is the diameter of the circle, does \(x\) equal \(30?\)

(1) The length of \(CD\) is twice the length of \(BD.\)

(2) \(y = 60\)

Answer: D

Source: Manhattan GMAT

- by Vincen

Thu Jan 27, 2022 12:42 pm- Forum: Data Sufficiency
- Topic: If \(CD\) is the diameter of the circle, does \(x\) equal \(30?\)
- Replies:
**0** - Views:
**13**

#### If \(c\) is an integer and \(c > 0,\) is \(c\) a root of the equation \(x^3-14x^2+24x=0 ?\)

###### Data Sufficiency

##### If \(c\) is an integer and \(c > 0,\) is \(c\) a root of the equation \(x^3-14x^2+24x=0 ?\)

If \(c\) is an integer and \(c > 0,\) is \(c\) a root of the equation \(x^3-14x^2+24x=0 ?\)

(1) \(c\) is prime.

(2) \(c\) is odd.

Answer: B

Source: Princeton Review

- by Vincen

Thu Jan 27, 2022 12:40 pm- Forum: Data Sufficiency
- Topic: If \(c\) is an integer and \(c > 0,\) is \(c\) a root of the equation \(x^3-14x^2+24x=0 ?\)
- Replies:
**0** - Views:
**11**

#### Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of

###### Problem Solving

##### Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of

Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of the fence should buy he to fence the entire garden?

A. 20 metres

B. 25 metres

C. 30 metres

D. 40 metres

E. 50 metres

Answer: E

Source: e-GMAT

- by Vincen

Thu Jan 27, 2022 12:38 pm- Forum: Problem Solving
- Topic: Adam wants to build a fence around his rectangular garden of length 10 meters and width 15 meters. How many meters of
- Replies:
**0** - Views:
**13**

##### Is \(4^{x+y}=8^{10}?\)

Is \(4^{x+y}=8^{10}?\)

(1) \(x - y = 9\)

(2) \(\dfrac{y}{x} = \dfrac14\)

Answer: C

Source: Official Guide

- by Vincen

Thu Jan 27, 2022 12:36 pm- Forum: Data Sufficiency
- Topic: Is \(4^{x+y}=8^{10}?\)
- Replies:
**0** - Views:
**10**

#### Steve wants to paint one rectangular-shaped wall of his room. The cost to paint the wall is \(\$1.5\) per square meter.

###### Problem Solving

##### Steve wants to paint one rectangular-shaped wall of his room. The cost to paint the wall is \(\$1.5\) per square meter.

Steve wants to paint one rectangular-shaped wall of his room. The cost to paint the wall is \(\$1.5\) per square meter. If the wall is \(25\) meters long and \(18\) meters wide, then what is the total cost to paint the wall? A. \(\$ 300\) B. \(\$ 350\) C. \(\$ 450\) D. \(\$ 600\) E. \(\$ 675\) Answe...

- by Vincen

Thu Jan 27, 2022 12:35 pm- Forum: Problem Solving
- Topic: Steve wants to paint one rectangular-shaped wall of his room. The cost to paint the wall is \(\$1.5\) per square meter.
- Replies:
**0** - Views:
**13**

##### Is \(\dfrac{x}{m}\cdot (m^2+n^2+k^2)=xm+yn+zk?\)

Is \(\dfrac{x}{m}\cdot (m^2+n^2+k^2)=xm+yn+zk?\)

(1) \(\dfrac{z}{k}=\dfrac{x}{m}\)

(2) \(\dfrac{x}{m}=\dfrac{y}{n}\)

Answer: C

Source: Official Guide

- by Vincen

Thu Jan 27, 2022 12:32 pm- Forum: Data Sufficiency
- Topic: Is \(\dfrac{x}{m}\cdot (m^2+n^2+k^2)=xm+yn+zk?\)
- Replies:
**0** - Views:
**13**

#### Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6

###### Problem Solving

##### Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6

Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6 (with an equal chance of landing on any side). Bill rolls the dice and his score is the total of the two dice. Jane then rolls the dice and her score is the total of her two dice. If Jane’s sco...

- by Vincen

Thu Jan 27, 2022 12:28 pm- Forum: Problem Solving
- Topic: Bill and Jane play a simple game involving two fair dice, each of which has six sides numbered from 1 to 6
- Replies:
**0** - Views:
**13**

##### If \(n\) and \(k\) are positive integers, is \(\sqrt{n+k}>2\sqrt{n}?\)

If \(n\) and \(k\) are positive integers, is \(\sqrt{n+k}>2\sqrt{n}?\)

(1) \(k > 3n\)

(2) \(n + k > 3n\)

Answer: A

Source: GMAT Paper Tests

- by Vincen

Thu Jan 27, 2022 12:26 pm- Forum: Data Sufficiency
- Topic: If \(n\) and \(k\) are positive integers, is \(\sqrt{n+k}>2\sqrt{n}?\)
- Replies:
**0** - Views:
**14**

#### At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all

###### Problem Solving

##### At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all

At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all the seating in the stadium is located in the lower deck, and if \(\dfrac23\) of all the seats in the stadium were sold, what fraction of the unsold seats in the stadium were in th...

- by Vincen

Wed Jan 12, 2022 10:12 am- Forum: Problem Solving
- Topic: At a college football game, \(\dfrac45\) of the seats in the lower deck of the stadium were sold. If \(\dfrac14\) of all
- Replies:
**0** - Views:
**56**

#### How many hours would it take Pump \(A\) and Pump \(B\) working together, each at its own constant rate, to empty a tank

###### Data Sufficiency

##### How many hours would it take Pump \(A\) and Pump \(B\) working together, each at its own constant rate, to empty a tank

How many hours would it take Pump \(A\) and Pump \(B\) working together, each at its own constant rate, to empty a tank that was initially full? (1) Working alone at its constant rate, Pump \(A\) would empty the full tank in \(4\) hours \(20\) minutes. (2) Working alone, Pump \(B\) would empty the f...

- by Vincen

Wed Jan 12, 2022 10:09 am- Forum: Data Sufficiency
- Topic: How many hours would it take Pump \(A\) and Pump \(B\) working together, each at its own constant rate, to empty a tank
- Replies:
**0** - Views:
**57**

#### At Daifu university, \(40\%\) of all students are members of both a chess club and a swim team. If \(20\%\) of members

###### Problem Solving

##### At Daifu university, \(40\%\) of all students are members of both a chess club and a swim team. If \(20\%\) of members

At Daifu university, \(40\%\) of all students are members of both a chess club and a swim team. If \(20\%\) of members of the swim team are not members of the chess club, what percentage of all Daifu students are members of the swim team? A) \(20\%\) B) \(30\%\) C) \(40\%\) D) \(50\%\) E) \(60\%\) A...

- by Vincen

Wed Jan 12, 2022 10:07 am- Forum: Problem Solving
- Topic: At Daifu university, \(40\%\) of all students are members of both a chess club and a swim team. If \(20\%\) of members
- Replies:
**0** - Views:
**46**

#### In a certain factory, hours worked by each employee in excess of \(40\) hours per week are overtime hours and are paid

###### Data Sufficiency

##### In a certain factory, hours worked by each employee in excess of \(40\) hours per week are overtime hours and are paid

In a certain factory, hours worked by each employee in excess of \(40\) hours per week are overtime hours and are paid for at \(1\frac12\) times the employee’s regular hourly pay rate. If an employee worked a total of \(42\) hours last week, how much was the employee’s gross pay for the hours worked...

- by Vincen

Wed Jan 12, 2022 10:05 am- Forum: Data Sufficiency
- Topic: In a certain factory, hours worked by each employee in excess of \(40\) hours per week are overtime hours and are paid
- Replies:
**0** - Views:
**54**

##### Two dice are rolled. What is the probability the sum will be greater than \(10?\)

Two dice are rolled. What is the probability the sum will be greater than \(10?\)

A. \(\dfrac19.\)

B. \(\dfrac1{12}.\)

C. \(\dfrac5{36}.\)

D. \(\dfrac16.\)

E. \(\dfrac15.\)

Answer: B

Source: e-GMAT

- by Vincen

Wed Jan 12, 2022 10:03 am- Forum: Problem Solving
- Topic: Two dice are rolled. What is the probability the sum will be greater than \(10?\)
- Replies:
**0** - Views:
**53**

#### When \(900\) is divided by positive integer \(d,\) the remainder is \(r.\) For some integer \(N > 5000,\) when \(N\) is

###### Data Sufficiency

##### When \(900\) is divided by positive integer \(d,\) the remainder is \(r.\) For some integer \(N > 5000,\) when \(N\) is

When \(900\) is divided by positive integer \(d,\) the remainder is \(r.\) For some integer \(N > 5000,\) when \(N\) is divided by positive integer \(D,\) the remainder is \(R.\) Is \(R > d?\)

(1) \(r = 1\)

(2) \(D = 23\)

Answer: C

Source: Magoosh

- by Vincen

Wed Jan 12, 2022 10:00 am- Forum: Data Sufficiency
- Topic: When \(900\) is divided by positive integer \(d,\) the remainder is \(r.\) For some integer \(N > 5000,\) when \(N\) is
- Replies:
**0** - Views:
**76**