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Algebra, Word Problems

What is the total price of one copy of book \(X\) and two copies of book \(Y?\)

1. The total price of three copies of book \(X\) and two copies of book \(Y\) is \(\$19.00\)

2. The total price of \(5\) copies of book \(Y\) is \(\$16.00\) more than \(3\) copies of book \(X\)

The OA is C

by swerve

Fri Apr 12, 2024 4:36 pm
Forum: Data Sufficiency
Topic: Algebra, Word Problems
Replies: 0
Views: 5

Algebra

If one root of the equation \(x^2 − 5x + m = 0\) is \(10,\) what is the value of \(m + 3?\)

A. \(50\)
B. \(10\)
C. \(-5\)
D. \(-47\)
E. \(-50\)

The OA is D

by swerve

Fri Apr 12, 2024 4:28 pm
Forum: Problem Solving
Topic: Algebra
Replies: 0
Views: 8

Algebra, Fractions/Ratios/Decimals

If \(x, y,\) and \(z\) are positive integers with the ratio \(2:4:6,\) what is the value of \(x?\)

1. \(x + y + z = 60\)
2. \(y + z = 50\)

The OA is D

by swerve

Fri Apr 12, 2024 4:23 pm
Forum: Data Sufficiency
Topic: Algebra, Fractions/Ratios/Decimals
Replies: 0
Views: 4

Algebra

The positive integer \(m\) is three times the positive integer \(n.\) Which of the following could be the value of \(m + n?\)

I. \(216\)
II. \(314\)
III. \(1,048\)

A. I only
B. II only
C. I and II only
D. I and III only
E. II and III only

The OA is D

by swerve

Fri Apr 12, 2024 4:15 pm
Forum: Problem Solving
Topic: Algebra
Replies: 0
Views: 7

Coordinate Geometry, Geometry

What is the unit area of circle \(O\) on the standard \(xy\)-coordinate plane?

1) Point \(R(7,23)\) and point \(S(7,7)\) both lie along the circumference of circle \(O\)

2) \(R\) and \(S\) are the endpoints of the longest possible chord of circle \(O\)

The OA is C

by swerve

Fri Mar 29, 2024 6:12 am
Forum: Data Sufficiency
Topic: Coordinate Geometry, Geometry
Replies: 0
Views: 25

Percent And Interest Problems

Four people share a dinner with an \(\$80\) bill and tipped the waiter \(15\) per cent of this amount. If each person contributed equally to paying the bill and tip, how much did each person pay?

A. \(\$20.00\)
B. \(\$23.00\)
C. \(\$23.75\)
D. \(\$24.00\)
E. \(\$25.00\)

The OA is B

by swerve

Fri Mar 29, 2024 6:04 am
Forum: Problem Solving
Topic: Percent And Interest Problems
Replies: 0
Views: 24

Coordinate Geometry

Line \(L\) passes through the points \(A\) and \(B\) having coordinates \((p,q)\) and \((r,s)\), respectively. Is the slope of the line \(L\) positive?

1. \(p < 0\) and \(q < 0\)

2. \(r > 0\) and \(s < 0\)

The OA is E

by swerve

Fri Mar 29, 2024 5:54 am
Forum: Data Sufficiency
Topic: Coordinate Geometry
Replies: 0
Views: 18

Fractions/Ratios/Decimals, Percent And Interest Problems

If \(55\) percent of the people who purchase a certain product are female, what is the ratio of the number of females who purchase the product to the number of males who purchase the product? A. \(\dfrac{11}{9}\) B. \(\dfrac{10}{9}\) C. \(\dfrac{9}{10}\) D. \(\dfrac{9}{11}\) E. \(\dfrac{5}{9}\) The ...

by swerve

Fri Mar 29, 2024 5:37 am
Forum: Problem Solving
Topic: Fractions/Ratios/Decimals, Percent And Interest Problems
Replies: 0
Views: 17

Word Problems

Robin and Barney, the guitarist and bassist, respectively, of a popular band, signed autographs after a concert, as did the singer and drummer. If Robin and Barney signed a total of \(1,500\) autographs, how many autographs did Barney sign? 1. Robin signed one-fourth of the total number of autograph...

by swerve

Fri Mar 15, 2024 4:37 pm
Forum: Data Sufficiency
Topic: Word Problems
Replies: 0
Views: 57

Algebra, Word Problems

The square of an even number equals \(6\) less than \(5\) times the number. Which of the following is the square of the number?

A. \(2\)
B. \(3\)
C. \(4\)
D. \(6\)
E. \(9\)

The OA is C

by swerve

Fri Mar 15, 2024 4:29 pm
Forum: Problem Solving
Topic: Algebra, Word Problems
Replies: 0
Views: 27

The average marks obtained in a test by \(x\) students of a class was \(m.\) Was \((x + 3)\) the average marks obtained

The average marks obtained in a test by \(x\) students of a class was \(m.\) Was \((x + 3)\) the average marks obtained by three students with the lowest marks in the same test? 1) If the lowest three marks were excluded, the average score of the class would have increased by three. 2) \(m = 2x\) Th...


Percent And Interest Problems, Word Problems

During one day, a door-to-door brick salesman sold three fourths of his bricks for \($0.25\) each. If he had \(150\) bricks left at the end of the day, how much money did he collect for brick sale that day?

A. \(\$12.50\)
B. \(\$37.50\)
C. \(\$50.00\)
D. \(\$112.50\)
E. \(\$150.00\)

The OA is D

by swerve

Fri Mar 15, 2024 4:15 pm
Forum: Problem Solving
Topic: Percent And Interest Problems, Word Problems
Replies: 0
Views: 25

Number Properties, Remainders

A certain carton holds fewer than \(50\) books. What is the number of books in the carton? 1. The books in the carton can be divided into \(3\) stacks of \(X\) books each, with \(2\) books left over 2. The books in the carton can be divided into \(Y\) stacks of \(7\) books each, with \(2\) books lef...

by swerve

Sun Mar 03, 2024 9:57 am
Forum: Data Sufficiency
Topic: Number Properties, Remainders
Replies: 0
Views: 25

Remainders

If \(p\) and \(q\) are positive integers. If \(p\) is divided by \(2,\) the remainder is \(1;\) and if \(q\) is divided by \(6,\) the remainder is \(1.\) Which of the following must be true? I. \(pq + 1\) is even II. \(pq/2\) is an integer III. \(pq\) is a multiple of \(12\) A. I only B. II only C. ...

by swerve

Sun Mar 03, 2024 9:52 am
Forum: Problem Solving
Topic: Remainders
Replies: 0
Views: 50

Remainders

What is the remainder when the positive integer \(X\) is divided by \(12?\)

1. When \(X\) is divided by \(3\) the remainder is \(2\)

2. When \(X\) is divided by \(4\) the remainder is \(3\)

The OA is C

by swerve

Sun Mar 03, 2024 9:39 am
Forum: Data Sufficiency
Topic: Remainders
Replies: 0
Views: 40