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Algebra

For what value(s) of \(k\) is the following equation satisfied: \(2k-9-k = 4k+6-3k\)

A. \(-5\)
B. \(0\) only
C. \(5/2\) only
D. No value
E. Any value

The OA is D

by swerve

Fri Nov 08, 2024 7:35 am
Forum: Problem Solving
Topic: Algebra
Replies: 0
Views: 36

Algebra, Number Properties

\(X\) and \(Y\) are distinct non negative real numbers. What is the sum \((X+Y)?\)

1) \((X^2 - Y^2)/(X-Y) = 6\)

2) \((X+Y)^2 = 36\)

The OA is D

by swerve

Fri Nov 08, 2024 7:22 am
Forum: Data Sufficiency
Topic: Algebra, Number Properties
Replies: 0
Views: 32

Algebra, Percent and Interest Problems

Greg’s Goosebumps produces Halloween items. Greg’s production costs consist of annual fixed costs totaling \(\$120,000\) and variable costs averaging \(\$4\) per item. If Greg’s selling price per item is \(\$20,\) how many items must he produce and sell to earn an annual profit of \(\$200,000?\) A. ...

by swerve

Fri Nov 08, 2024 7:07 am
Forum: Problem Solving
Topic: Algebra, Percent and Interest Problems
Replies: 0
Views: 34

Percent and Interest Problems, Word Problems

A total of \(\$100,000\) was invested in one year. A part of this amount earned a simple annual interest at the rate of \(x\) percent, and the rest earned a simple annual interest at the rate of \(y\) percent. If the total interest earned by the \(\$100,000\) in one year was \(\$2,600,\) what is the...

by swerve

Fri Nov 01, 2024 3:33 pm
Forum: Data Sufficiency
Topic: Percent and Interest Problems, Word Problems
Replies: 0
Views: 69

Percent and Interest Problems

The attendance of the first day of a \(3\)-day festival was \(20\%\) greater than the attendance on the final day of the festival. If the attendance on the first day was \(11,418,\) what was the attendance on the final day of the festival? A. \(3,806\) B. \(5,190\) C. \(9,134\) D. \(9,515\) E. \(11,...

by swerve

Fri Nov 01, 2024 3:18 pm
Forum: Problem Solving
Topic: Percent and Interest Problems
Replies: 0
Views: 31

Percent and Interest Problems, Word Problems

Team \(X\) won \(40\) basketball games. What percent of its basketball games did Team \(X\) win?

1. Team \(X\) played the same number of basketball games as Team \(Y\)

2. Team \(Y\) won \(45\) games, representing \(2.5\) percent of the basketball games it played

The OA is C

by swerve

Fri Nov 01, 2024 3:09 pm
Forum: Data Sufficiency
Topic: Percent and Interest Problems, Word Problems
Replies: 0
Views: 40

Ninety percent of a large field is cleared for planting. Of the cleared land, \(50\%\) is planted with blueberry plants

Ninety percent of a large field is cleared for planting. Of the cleared land, \(50\%\) is planted with blueberry plants and \(40\%\) is planted with strawberry plants. If the remaining \(360\) acres of cleared land is planted with gooseberry plants, what is the size, in acres, of the original field?...


Remainders

\(x\) and \(h\) are both positive integers. When \(x\) is divided by \(7,\) the quotient is \(h\) with a remainder of \(3.\) Which of the following could be the value of \(x?\)

A. \(7\)
B. \(21\)
C. \(50\)
D. \(52\)
E. \(57\)

The OA is D

by swerve

Fri Oct 25, 2024 6:26 am
Forum: Problem Solving
Topic: Remainders
Replies: 0
Views: 180

Multiples and Factors, Remainders

What is the remainder when the positive integer \(x\) is divided by \(9?\)

1) \(x + 34\) is a multiple of \(18\)

2) \(x\) is a multiple of \(11\)

The OA is A

by swerve

Fri Oct 25, 2024 6:14 am
Forum: Data Sufficiency
Topic: Multiples and Factors, Remainders
Replies: 0
Views: 82

Must or Could be True Questions, Number Properties, Remainders

The integer \(P\) is greater than \(7.\) If the integer \(P\) leaves a remainder of \(4\) when divided by \(9,\) all of the following must be true EXCEPT A. The number that is \(4\) less than \(P\) is a multiple of \(9\) B. The number that is \(5\) more than \(P\) is a multiple of \(9\) C. The numbe...

by swerve

Fri Oct 25, 2024 5:58 am
Forum: Problem Solving
Topic: Must or Could be True Questions, Number Properties, Remainders
Replies: 0
Views: 316

Arithmetic, Sequences

What is the value of positive integer \(N?\)

1) Sum of \(N\) consecutive positive integers is \(90\)

2) \(5 < N < 10\)

The OA is C

by swerve

Sat Oct 19, 2024 9:05 am
Forum: Data Sufficiency
Topic: Arithmetic, Sequences
Replies: 0
Views: 164

Arithmetic, Percent and Interest Problems

John buys \(100\) shares of stock at \(\$100\) per share. The price goes up by \(10\%\) and he sells \(50\) shares. Then, prices drop by \(10\%\) and he sells his remaining \(50\) shares. How much did he get for the last \(50?\) A. \(\$5000\) B. \(\$5500\) C. \(\$4900\) D. \(\$5050\) E. \(\$4950\) T...

by swerve

Sat Oct 19, 2024 8:53 am
Forum: Problem Solving
Topic: Arithmetic, Percent and Interest Problems
Replies: 0
Views: 108

Arithmetic

In \(1984\) a certain union had a total of \(15,600\) members. Was the percent increase in the total number of members in the union from \(1984\) to \(1985\) greater than that from \(1985\) to \(1986?\) 1. From \(1984\) to \(1985\) the total number of members in the union increased by \(781,\) and f...

by swerve

Sat Oct 19, 2024 8:46 am
Forum: Data Sufficiency
Topic: Arithmetic
Replies: 0
Views: 95

Arithmetic, Geometry

At an archeological ruins site, flat tile fragments are discovered that have a collective surface area of \(298\) square feet. If the area of each fragment is at least \(15\) square feet, what is the greatest number of fragments that could be present in the discovery? A. \(17\) B. \(18\) C. \(19\) D...

by swerve

Sat Oct 19, 2024 8:41 am
Forum: Problem Solving
Topic: Arithmetic, Geometry
Replies: 0
Views: 101

\(A, B, C\) are three positive numbers. Which is the greatest number among \(A, B, C?\)

\(A, B, C\) are three positive numbers. Which is the greatest number among \(A, B, C?\)

1) \(A*B > B*C > C*A\)

2) \(1/C > 1/A > 1/B\)

The OA is D