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Remainders
When \(a\) is divided by \(b\) the remainder is \(13.\) When \(c\) is divided by \(d\) the remiander is \(12.\) If \(a, b, c, d\) are all positive integers, then which of these may be the value of \(b+d?\)
A. \(23\)
B. \(24\)
C. \(25\)
D. \(26\)
E. \(27\)
The OA is E
- by swerve
Wed Jul 02, 2025 9:22 am- Forum: Problem Solving
- Topic: Remainders
- Replies: 0
- Views: 54
Remainders
When a positive integer \(n\) is divided by \(4,\) what is the remainder?
1) The remainder is \(5\) when \(n\) is divided by \(6\)
2) The remainder is \(7\) when \(n\) is divided by \(9\)
The OA is E
- by swerve
Wed Jul 02, 2025 9:03 am- Forum: Data Sufficiency
- Topic: Remainders
- Replies: 0
- Views: 43
Remainders
When positive integer \(a\) is divided by \(7,\) the remainder is \(2;\) when positive integer \(b\) is divided by \(7,\) the remainder is \(3;\) when positive integer \(c\) is divided by \(7,\) the remainder is \(4.\) What is the remainder when \(a+b+c\) is divided by \(7?\) A. \(0\) B. \(1\) C. \(...
- by swerve
Wed Jul 02, 2025 8:48 am- Forum: Problem Solving
- Topic: Remainders
- Replies: 0
- Views: 33
Word Problems
A cinema studio has \(3\) screens: \(A, B\) and \(C.\) Each of these \(3\) screens run a fixed number of shows per day, though the number of shows of screen \(A/B/C\) may be different from each other. Each screen runs shows all week, without any off day. Screen \(A\) runs exactly \(4\) shows per day...
- by swerve
Thu Jun 26, 2025 5:47 pm- Forum: Data Sufficiency
- Topic: Word Problems
- Replies: 0
- Views: 77
Word Problems
Leah wants to shrink her photos to fit a computer screen. Her photos currently have a width of \(1,024\) pixels and a height of \(768\) pixels. If she reduces the width to \(800\) pixels, then to what height, in pixels, must she reduce the photos to preserve the same ratio of width to height? A. \(1...
- by swerve
Thu Jun 26, 2025 5:26 pm- Forum: Problem Solving
- Topic: Word Problems
- Replies: 0
- Views: 68
Word Problems
Joe uses three different modes of transportation to travel a total of \(225\) kilometers to visit his aunt. How many kilometers does Joe travel by bus? 1) Joe rides his bike \(5\) kilometers to the bus station where he boards the bus to take him to the train station. He then takes the train \(10\) t...
- by swerve
Thu Jun 26, 2025 5:15 pm- Forum: Data Sufficiency
- Topic: Word Problems
- Replies: 0
- Views: 62
Word Problems
Aquarium A holds \(150\) gallons more sea water than does Aquarium B, and both aquariums are currently filled to capacity. If \(20\) gallons are removed from each aquarium, then Aquarium A would hold four times as much sea water as Aquarium B holds. What is the combined total number of gallons of se...
- by swerve
Thu Jun 26, 2025 5:02 pm- Forum: Problem Solving
- Topic: Word Problems
- Replies: 0
- Views: 67
Probability
A large bin contains forty colored balls numbered \(161\) to \(200.\) If each ball is colored either green or red, how many of the balls are colored red? 1) \(3/5\) of the even-numbered balls are red and \(1/4\) of the odd numbered balls are green 2) There are three fewer even-numbered red balls tha...
- by swerve
Sun Jun 22, 2025 9:56 am- Forum: Data Sufficiency
- Topic: Probability
- Replies: 0
- Views: 108
Probability
In the barui family there are \(2\) more girls than boys. At random Mrs. barui asks one of her children to go to the store. If she is equally likely to ask any of her children and the probability that she asks a girl is \(2/3\), how many boys and how many girls are there in barui family? A. \((2,4)\...
- by swerve
Sun Jun 22, 2025 9:28 am- Forum: Problem Solving
- Topic: Probability
- Replies: 0
- Views: 97
Fractions and Ratios
What fraction of the cookies in a certain bakery’s window display contains nuts?
1. Of the cookies in the display, \(22\) contain nuts
2. Of the cookies in the display, \(90\%\) do not contain nuts
The OA is B
- by swerve
Sat Jun 14, 2025 12:43 pm- Forum: Data Sufficiency
- Topic: Fractions and Ratios
- Replies: 0
- Views: 141
Fractions and Ratios
A certain punch contains grape juice, orange juice, and pineapple juice and no other ingredients in a ratio of \(2{:}3{:}7\) respectively. If a bowl of this punch contains \(21\) ounces of orange juice, how many ounces of pineapple juice does it contain A. \(12\) B. \(14\) C. \(21\) D. \(49\) E. \(8...
- by swerve
Sat Jun 14, 2025 12:37 pm- Forum: Problem Solving
- Topic: Fractions and Ratios
- Replies: 0
- Views: 121
Fractions and Ratios
Assume that at a particular zoo, \(2/5\) of all the animals are mammals, and \(2/3\) of the mammals are allowed to interact directly with the public. If \(24\) mammals are allowed to interact directly with the public, how many animals in this zoo are NOT mammals? A. \(36\) B. \(48\) C. \(54\) D. \(6...
- by swerve
Sat Jun 14, 2025 12:24 pm- Forum: Problem Solving
- Topic: Fractions and Ratios
- Replies: 0
- Views: 122
Fractions and Ratios, Word Problems
A container has red, blue, and green balls, and the number of green balls is less than \(15.\) How many green balls are in the container?
1. The ratio of red to blue balls is \(6\) to \(5\)
2. There are twice as many green balls as red balls in the container
The OA is C
- by swerve
Sat Jun 14, 2025 12:18 pm- Forum: Data Sufficiency
- Topic: Fractions and Ratios, Word Problems
- Replies: 0
- Views: 130
Fractions and Ratios
In the repeating decimal \(0.0157901579\ldots\) , the \(29^{th}\) digit to the right of the decimal point is
A. \(0\)
B. \(1\)
C. \(5\)
D. \(7\)
E. \(9\)
The OA is D
- by swerve
Sat Jun 14, 2025 12:06 pm- Forum: Problem Solving
- Topic: Fractions and Ratios
- Replies: 0
- Views: 106
Must or Could be True Questions, Percent and Interest Problems
If toaster \(X\) costs \(10\) percent more than toaster \(Y\) costs, which of the following COULD be true? I. Toaster \(Y\) costs \(\$10\) less than toaster \(X\) costs II. Toaster \(X \)costs \(\$20\) more than toaster \(Y\) costs III. Toaster \(Y\) costs \(10\) percent less than toaster \(X\) cost...
- by swerve
Sun Jun 08, 2025 8:41 am- Forum: Problem Solving
- Topic: Must or Could be True Questions, Percent and Interest Problems
- Replies: 0
- Views: 328