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A cylindrical cup is used to fill a bowl, which is in the shape of a hemisphere (half of a sphere), with milk. If the ra

A cylindrical cup is used to fill a bowl, which is in the shape of a hemisphere (half of a sphere), with milk. If the radius of the cup is half the radius of the hemisphere, and the height of the cup is double its radius, what is the maximum number of cups that can fill the bowl without overflowing ...


If Angela is twice as old as the combined ages of Bill and Charlie, then how old is Charlie?

If Angela is twice as old as the combined ages of Bill and Charlie, then how old is Charlie?

(1) Four years from now, the sum of all three people’s ages will be 108.

(2) Five years ago, the average (arithmetic mean) of all three people’s ages was 27.

Answer: E

Source: Princeton Review


If \(2 + 5a - \dfrac{b}2 = 3c,\) what is the value of \(b?\)

If \(2 + 5a - \dfrac{b}2 = 3c,\) what is the value of \(b?\)

(1) \(a + c = 13\)

(2) \(-12c = -20a + 4\)

Answer: B

Source: Manhattan GMAT


If \(2x-y=10\) and \(\dfrac{x}{y}=3,\) then \(x =\)

If \(2x-y=10\) and \(\dfrac{x}{y}=3,\) then \(x =\)

A. -10
B. 2
C. 4
D. 6
E. 12

Answer: D

Source: Magoosh

by Gmat_mission

Sun Oct 25, 2020 12:01 pm
Forum: Problem Solving
Topic: If \(2x-y=10\) and \(\dfrac{x}{y}=3,\) then \(x =\)
Replies: 0
Views: 13

What is the value of \(a - b ?\)

What is the value of \(a - b ?\)

(1) \(a = b + 4\)
(2) \((a - b)^2 = 16\)

Answer: A

Source: Official Guide

by Gmat_mission

Sun Oct 25, 2020 12:00 pm
Forum: Data Sufficiency
Topic: What is the value of \(a - b ?\)
Replies: 0
Views: 11

Of the 200 employees at Company A, 70 work part-time and the rest work full-time. If 140 of the employees like their job

Of the 200 employees at Company A, 70 work part-time and the rest work full-time. If 140 of the employees like their jobs and 10 of the part-time employees don’t like their jobs, how many full-time employees like their jobs?

A. 50
B. 60
C. 80
D. 130
E. 140

Answer: C

Source: Princeton Review


For non-negative integers \(x, y,\) and \(z,\) is \(x^z\) odd?

For non-negative integers \(x, y,\) and \(z,\) is \(x^z\) odd?

(1) The product \(xz\) is odd.
(2) \(x = 2^y\)

Answer: A

Source: Veritas Prep


In the diagram above, the sides of rectangle \(ABCD\) have a ratio \(AB:BC = 1:2,\) and the circle is tangent to three

2-to-1 rectangle with circle.JPG In the diagram above, the sides of rectangle \(ABCD\) have a ratio \(AB:BC = 1:2,\) and the circle is tangent to three sides of the rectangle. If a point is chosen at random inside the rectangle, what is the probability that it is not inside the circle? (A) \(\dfrac...


At the beginning of last year, a furniture store had \(75\) armchairs in stock, which had cost the store \(\$600\) each.

At the beginning of last year, a furniture store had \(75\) armchairs in stock, which had cost the store \(\$600\) each. During the same year, the store purchased a number of additional armchairs. What is the total amount spent by the store on the armchairs it had in stock at the end of last year? (...


A certain investment earns \(20\) percent interest annually. If the investment has earned \(\$30\) after one year, what

A certain investment earns \(20\) percent interest annually. If the investment has earned \(\$30\) after one year, what was its original value?

a. \(\$100\)

b. \(\$120\)

c. \(\$150\)

d. \(\$175\)

e. \(\$180\)

Answer: C

Source: Princeton Review


In \(2005,\) did Company \(A\) have more than twice the number of employees as did Company \(B?\)

In \(2005,\) did Company \(A\) have more than twice the number of employees as did Company \(B?\) (1) In \(2005,\) Company \(A\) had \(11,500\) more employees than did Company \(B.\) (2) In \(2005,\) the \(3,000\) employees with advanced degrees at Company \(A\) made up \(12.5\) percent of that comp...


\(\sqrt{25+25+100}=\)

\(\sqrt{25+25+100}=\)

A. \(5\sqrt5\)

B. \(5\sqrt6\)

C. \(15\)

D. \(20\)

E. \(75\sqrt2\)

Answer: B

Source: Princeton Review

by Gmat_mission

Sun Oct 25, 2020 11:47 am
Forum: Problem Solving
Topic: \(\sqrt{25+25+100}=\)
Replies: 0
Views: 7

In Sequence \(P,\) is \(P_{11} >P_{10}?\)

In Sequence \(P,\) is \(P_{11} >P_{10}?\)

(1) \(P_k= x^3k\)
(2) \(P_k = y^6k\)

Answer: E

Source: Princeton Review

by Gmat_mission

Sun Oct 25, 2020 11:44 am
Forum: Data Sufficiency
Topic: In Sequence \(P,\) is \(P_{11} >P_{10}?\)
Replies: 0
Views: 14

In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and

In a certain game, you perform three tasks. You flip a quarter, and success would be heads. You roll a single die, and success would be a six. You pick a card from a full playing-card deck, and success would be picking a spades card. If any of these tasks are successful, then you win the game. What ...


If \(p, q,\) and \(r\) are integers, is \(p+q+r> 0 ?\)

If \(p, q,\) and \(r\) are integers, is \(p+q+r> 0 ?\)

(1) \(p + r = q\)

(2) \(r^2 < -q\)

Answer: C

Source: Manhattan GMAT

by Gmat_mission

Sun Oct 25, 2020 11:40 am
Forum: Data Sufficiency
Topic: If \(p, q,\) and \(r\) are integers, is \(p+q+r> 0 ?\)
Replies: 0
Views: 12