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

Triangle.jpg
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


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


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


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.

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...


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

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...


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


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...


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...


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...


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...


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


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