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Is \(x+y\) divisible by \(2?\)

Is \(x+y\) divisible by \(2?\)

1) There are \(25\) integers between \(x\) and \(y\)

2) \(x\) and \(y\) are Integers

The OA is C

by BTGmoderatorLU

Thu Oct 31, 2024 12:45 pm
Forum: Data Sufficiency
Topic: Is \(x+y\) divisible by \(2?\)
Replies: 0
Views: 17

The sum of three digits in a number is \(17,\) the sum of square of the digits is \(109.\) If we subtract \(495\) from

The sum of three digits in a number is \(17,\) the sum of square of the digits is \(109.\) If we subtract \(495\) from the number, the number is reversed. Find the number.

A. \(683\)
B. \(854\)
C. \(863\)
D. \(872\)
E. \(953\)

The OA is C


At the beginning of \(1990,\) Jon and Krista each purchased a certificate of deposit that paid the same rate of interest

At the beginning of \(1990,\) Jon and Krista each purchased a certificate of deposit that paid the same rate of interest, and each held the certificate of deposit through the end of \(1990.\) If Jon invested \(x\) dollars and Krista invested \(\$10,000,\) and if Jon earned interest in \(1990\) total...


A rectangular box of volume \(x\) has width, depth and height in the ratio of \(3{:}2{:}2\) (in this order). What is the

A rectangular box of volume \(x\) has width, depth and height in the ratio of \(3{:}2{:}2\) (in this order). What is the height in function of \(x?\) A. \(\left(\dfrac{x}{12}\right)^{1/3}\) B. \(\left(\dfrac{x}{6}\right)^{1/3}\) C. \(\left(\dfrac{x}{4}\right)^{1/3}\) D. \(\left(\dfrac{2x}{3}\right)^...


Jane goes the trip of \(40\) miles, the first \(20\) miles at \(60\) miles per hour and the rest \(20\) miles at \(30\)

Jane goes the trip of \(40\) miles, the first \(20\) miles at \(60\) miles per hour and the rest \(20\) miles at \(30\) miles per hour, what is the average speed of the entire trip? A. \(30\,\text{miles/1hr}\) B. \(36\,\text{miels/1hr}\) C. \(40\,\text{miles/1hr}\) D. \(42\,\text{miels/1hr}\) E. \(4...


If a certain short animated film consists of a total of \(21,600\) frames on film, how many minutes will it take to run

If a certain short animated film consists of a total of \(21,600\) frames on film, how many minutes will it take to run the film? 1. The film runs uninterrupted at a rate of \(36\) frames per second 2. It takes \(5\) times as long to run the film as it takes to rewind the film, and it takes a total ...


Two trains are moving in the opposite direction on parallel tracks at the speeds of \(60\,\text{km/hr}\) and

Two trains are moving in the opposite direction on parallel tracks at the speeds of \(60\,\text{km/hr}\) and \(90\,\text{km/hr}\) respectively. The first train passes a telegraph post in \(5\) seconds whereas the second train passes the post in \(6\) seconds. What is the time taken (in seconds) by t...


If the number of red marbles is three times the number of green marbles in a bowl of marbles with only two colors of

If the number of red marbles is three times the number of green marbles in a bowl of marbles with only two colors of marbles, what is the ratio of the green marbles to all the marbles?

A. \(1{:}3\)
B. \(1{:}4\)
C. \(3{:}4\)
D. \(3{:}1\)
E. \(4{:}1\)

The OA is B


The volume of cylinder \(A\) is how much more than the volume of cylinder \(B\) if cylinder \(A\) has \(x+4\) radius and

The volume of cylinder \(A\) is how much more than the volume of cylinder \(B\) if cylinder \(A\) has \(x+4\) radius and cylinder \(B\) has a height of \(4?\)

1) cylinder \(B\) has a volume of \(6\)
2) the ratio of cylinder A's volume to cylinder B's volume is \(4{:}7\)

The OA C


Referring to the \(xy\)-plane above, which of the following could be the equation of line \(P?\)

123wq.jpg Referring to the \(xy\)-plane above, which of the following could be the equation of line \(P?\) A. \(y=\dfrac{2}{5}x-\dfrac{5}{2}\) B. \(y=-\dfrac{5}{2}x+\dfrac{5}{2}\) C. \(y=\dfrac{5}{2}x-\dfrac{5}{2}\) D. \(y=\dfrac{2}{5}x+\dfrac{2}{5}\) E. \(y=-\dfrac{5}{2}x-\dfrac{5}{2}\) The OA is E


Is the area of quadrilateral \(ABCD\) equal to area of quadrilateral \(AECD?\)

Is the area of quadrilateral \(ABCD\) equal to area of quadrilateral \(AECD?\)

1. The coordinates of the points \(A, B, C\) and \(D\) are \((0, 5), (6, 0), (0, -3)\) and \((-2, 0),\) respectively.
2. The point \(E\) lines on the line \(x=6\)

The OA is C


Which of the following equations represents a line on \(xy\)-plane that includes exactly only one point \(P(Xp; Yp)\)

Which of the following equations represents a line on \(xy\)-plane that includes exactly only one point \(P(Xp; Yp)\) with integer coordinates \((Xp\) and \(Yp\) are both integer numbers\()?\)

A. \(y= 2x\)
B. \(2x-2y+1=0\)
C. \(y-5=3x\)
D. \(2y-\sqrt{2}x =0\)
E. \(2y= x+2\)

The OA is D


A line segment is drawn in the \(xy\)-coordinate plane with endpoints \(P(3,5)\) and \(Q(8,0).\) Line \(n\) is drawn

A line segment is drawn in the \(xy\)-coordinate plane with endpoints \(P(3,5)\) and \(Q(8,0).\) Line \(n\) is drawn so that it intersects \(PQ.\) What is the slope of line \(n?\)

1) Point \(A\) is located on line \(n,\) and \(AP=AQ\)

2) The \(x\)-intercept of line \(n\) is \((3,0)\)

The OA is E