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What is the largest number of rectangular boxes which can be stored in a circular barrel?

What is the largest number of rectangular boxes which can be stored in a circular barrel?

(1) The volume of each box is 20 cubic inches

(2) The interior of the barrel is 100 inches high and has a diameter of 60 inches

Answer: E

Source: Economist


If \(y\) and \(z\) are positive integers such that \(\dfrac{y}{2z}=123.24,\) the remainder obtained when \(y\) is divide

If \(y\) and \(z\) are positive integers such that \(\dfrac{y}{2z}=123.24,\) the remainder obtained when \(y\) is divided by \(z\) is what percentage lesser than \(z?\)

A. \(24\%\)
B. \(48\%\)
C. \(52\%\)
D. \(76\%\)
E. Cannot be Determined

Answer: C

Source: e-GMAT


What is the value of \(\dfrac{r}2 + \dfrac{s}2?\)

What is the value of \(\dfrac{r}2 + \dfrac{s}2?\)

(1) \(\dfrac{r + s}2 = 5\)
(2) \(r + s = 10\)

Answer: D

Source: GMAT Paper Tests

by Vincen

Fri Jun 18, 2021 7:42 am
Forum: Data Sufficiency
Topic: What is the value of \(\dfrac{r}2 + \dfrac{s}2?\)
Replies: 1
Views: 35

Last month \(15\) homes were sold in Town \(X.\) The average (arithmetic mean) sale price of the homes was \(\$150,000\)

Last month \(15\) homes were sold in Town \(X.\) The average (arithmetic mean) sale price of the homes was \(\$150,000\) and the median sale price was \(\$130,000.\) Which of the following statements must be true? I. At least one of the homes was sold for more than \(\$165,000.\) II. At least one of...


If Ann saves \(x\) dollars each week and Beth saves \(y\) dollars each week, what is the total amount that they save per

If Ann saves \(x\) dollars each week and Beth saves \(y\) dollars each week, what is the total amount that they save per week? (1) Beth saves \(\$5\) more per week than Ann saves per week. (2) It takes Ann \(6\) weeks to save the same amount that Beth saves in \(5\) weeks. Answer: C Source: Official...


A game is played with a six-sided, regularly numbered fair die. A player starts with a number equal to \(0.1n,\) where

A game is played with a six-sided, regularly numbered fair die. A player starts with a number equal to \(0.1n,\) where \(n\) is an integer between \(1\) and \(6\) inclusive. On each of \(20\) subsequent rolls, if the number rolled times \(0.1\) is greater than or equal to the player's current number...


Some computers at a certain company are Brand \(X\) and the rest are Brand \(Y.\) If the ratio of the number of Brand

Some computers at a certain company are Brand \(X\) and the rest are Brand \(Y.\) If the ratio of the number of Brand \(Y\) computers to the number of Brand \(X\) computers at the company is \(5\) to \(6,\) how many of the computers are Brand \(Y?\) (1) There are \(80\) more Brand \(X\) computers th...


If a number is to be randomly selected from set \(A\) above and a number is to be randomly selected from set \(B\) above

\(A = \{-10, -9, -8, -7, -6, -5, -4\}\) \(B = \left\{-\dfrac12, -\dfrac13, -\dfrac15, 0, \dfrac15, \dfrac13, \dfrac12\right\}\) If a number is to be randomly selected from set \(A\) above and a number is to be randomly selected from set \(B\) above, what is the probability that the product of the tw...


Two chocolates need to be picked from a box with replacement. if all the chocolates in the box are wrapped in either

Two chocolates need to be picked from a box with replacement. if all the chocolates in the box are wrapped in either green or blue wrapper. Then what's the probability that we get one chocolate of each color. A. The probability of getting chocolates of the same color is \(\dfrac59.\) B. The no of ch...


A sphere is inscribed in a cube with an edge of \(x\) centimeters. In terms of \(x\) what is the shortest possible dista

A sphere is inscribed in a cube with an edge of \(x\) centimeters. In terms of \(x\) what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere? A. \(x(\sqrt3-1)\) B. \(\dfrac{x}2\) C. \(x(\sqrt2-1)\) D. \(\dfrac{x}{2}(\sqrt3-1)\) E. \(\dfrac{x}{2}(\sqrt...


If \(zt < -3,\) is \(z < 4?\)

If \(zt < -3,\) is \(z < 4?\)

(1) \(z < 9\)
(2) \(t < -4\)

Answer: E

Source: GMAT Prep

by Vincen

Fri Jun 18, 2021 6:32 am
Forum: Data Sufficiency
Topic: If \(zt < -3,\) is \(z < 4?\)
Replies: 0
Views: 24

A \(2 \times 2 \times 2\) cubic inch block of iron is melted and recast to form \(1 \times 1 \times 1\) cubic inch block

A \(2 \times 2 \times 2\) cubic inch block of iron is melted and recast to form \(1 \times 1 \times 1\) cubic inch blocks. What is the percentage change in the total surface area of iron? A) \(75\%\) decrease B) \(25\%\) decrease C) \(50\%\) increase D) \(100\%\) increase E) None of the above Answer...


The figure above represents the floor plan of an art gallery that has a lobby and \(18\) rooms. If Lisa goes from the

floor.jpg The figure above represents the floor plan of an art gallery that has a lobby and \(18\) rooms. If Lisa goes from the lobby into room \(A\) at the same time that Paul goes from the lobby into room \(R,\) and each goes through all of the rooms in succession, entering by one door and exitin...


In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If

In a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. If there are 5 rows in all and a total of 75 bricks in the wall, how many bricks does the bottom row contain?

(A) 14
(B) 15
(C) 16
(D) 17
(E) 18

Answer: D

Source: Official Guide


If \(m > 0\) and \(n > 0,\) is \(\dfrac{m+x}{n+x} > \dfrac{m}{n}?\)

If \(m > 0\) and \(n > 0,\) is \(\dfrac{m+x}{n+x} > \dfrac{m}{n}?\)

(1) \(m < n\)

(2) \(x > 0\)

Answer: C

Source: GMAT Prep