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Algebra, Number Properties

The sum of two positive integers is \(21.\) What is the value of the larger integer?

1) The product of the two integers is \(104\)

2) The larger integer is a prime number

The OA is A

by swerve

Thu Mar 13, 2025 5:47 pm
Forum: Data Sufficiency
Topic: Algebra, Number Properties
Replies: 0
Views: 66

Algebra

Cindy was asked by her teacher to subtract \(3\) from a certain number and then divide the result by \(9.\) Instead, she subtracted \(9\) and then divided the result by \(3,\) giving an answer of \(43.\) What would her answer have been had she worked the problem correctly? A. \(15\) B. \(34\) C. \(4...

by swerve

Thu Mar 13, 2025 5:31 pm
Forum: Problem Solving
Topic: Algebra
Replies: 0
Views: 33

Min-Max Problems, Word Problems

In an auditorium with \(300\) students, the number of boys is more than double the number of girls. What is the maximum number of girls who can be in the auditorium?

A. \(97\)
B. \(98\)
C. \(99\)
D. \(100\)
E. \(101\)

The OA is C

by swerve

Fri Mar 07, 2025 8:19 am
Forum: Problem Solving
Topic: Min-Max Problems, Word Problems
Replies: 0
Views: 412

Min-Max Problems, Word Problems

In an auditorium with \(300\) students, the number of boys is more than double the number of girls. What is the maximum number of girls who can be in the auditorium?

A. \(97\)
B. \(98\)
C. \(99\)
D. \(100\)
E. \(101\)

The OA is C

by swerve

Fri Mar 07, 2025 8:16 am
Forum: Problem Solving
Topic: Min-Max Problems, Word Problems
Replies: 0
Views: 82

Word Problems

A pumpkin patch contains \(x\) pumpkins that weight \(10\) pounds each and \(y\) pumpkins that weight \(r\) pounds each. If the average (arithmetic mean) weight of the pumpkins is \(12\) pounds, what is the value of \(r?\) 1. There are six more heavier pumpkins than lighter pumpkins 2. There are fou...

by swerve

Fri Mar 07, 2025 8:06 am
Forum: Data Sufficiency
Topic: Word Problems
Replies: 0
Views: 45

Word Problems

Sam has \(y\) tapes, which is three times as many as Bob and half as many as Tom. In terms of \(y,\) how many tapes do Sam, Bob, and Tom have combined?

A. \(3y/2\)
B. \(5y/2\)
C. \(7y/3\)
D. \(3y\)
E. \(10y/3\)

The OA is E

by swerve

Fri Mar 07, 2025 7:55 am
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 63

Absolute Values, Inequalities

How many integer values of a satisfy the inequality \(|a−5| \leq 2.5?\)

A. \(3\)
B. \(4\)
C. \(5\)
D. \(6\)
E. \(7\)

The OA is C

by swerve

Sun Feb 23, 2025 2:29 pm
Forum: Problem Solving
Topic: Absolute Values, Inequalities
Replies: 0
Views: 1274

Inequalities

Does Bob have more records in his record collection than Linda has in hers?

1. Christina has more records in her collection than Linda

2. Bob has fewer records in his collection than Christina

The OA is E

by swerve

Sun Feb 23, 2025 2:21 pm
Forum: Data Sufficiency
Topic: Inequalities
Replies: 0
Views: 328

Exponents, Inequalities

Which of the following options should be the least value of \(n\) that satisfies the inequality, \(2^n > 10^{15}?\)

A. \(30\)
B. \(45\)
C. \(60\)
D. \(75\)
E. \(90\)

The OA is C

by swerve

Sun Feb 23, 2025 2:15 pm
Forum: Problem Solving
Topic: Exponents, Inequalities
Replies: 0
Views: 371

Remainders

A bag contains at least \(10\) blue marbles and at least \(10\) red marbles, and contains marbles of no other color. Is the number of blue marbles in the bag greater than the number of red marbles? 1. If two marbles are chosen from the bag without replacement, the probability of picking two blue mar...

by swerve

Sun Feb 16, 2025 6:27 am
Forum: Data Sufficiency
Topic: Remainders
Replies: 0
Views: 537

Multiples and Factors, Number Properties, Remainders

When the positive integer \(n\) is divided by \(7,\) the quotient is \(q\) and the remainder is \(4.\) When \(2n\) is divided by \(7,\) the remainder is \(1\) and the quotient, in terms of \(q,\) is

A. \(q/2\)
B. \(q/2 + 1\)
C. \(2q\)
D. \(2q+1\)
E. \(2q+2\)

The OA is D

by swerve

Sun Feb 16, 2025 6:10 am
Forum: Problem Solving
Topic: Multiples and Factors, Number Properties, Remainders
Replies: 0
Views: 406

Arithmetic, Fractions and Ratios

A company called Nutriway offers its Magnesium tablets in three different packet sizes - containing \(30, 60\) and \(90\) tablets each - respectively. If Venkat bought at least one packet of each type, then out of the given three types, which type of packets did he buy in maximum number? 1) Number o...

by swerve

Thu Feb 06, 2025 7:34 am
Forum: Data Sufficiency
Topic: Arithmetic, Fractions and Ratios
Replies: 0
Views: 1344

Fractions and Ratios

Of the \(400\) cadets in a graduating class, \(30\) percent were women and, of these, \(\frac{1}{5}\) became instructors. If the number of men who became instructors was twice the number of women who became instructors, how many of the men became instructors? A. \(120\) B. \(48\) C. \(40\) D. \(24\)...

by swerve

Thu Feb 06, 2025 7:07 am
Forum: Problem Solving
Topic: Fractions and Ratios
Replies: 0
Views: 782

Fractions and Ratios

If \(t\) denotes the thousandth digit of the number \(X=0.01t5,\) what is the value of \(X\) rounded to the nearest hundredth?

1. The sum of the digits of \(X\) is less than 10
2. \(X > 0.0125\)

The OA is A

by swerve

Thu Feb 06, 2025 6:54 am
Forum: Data Sufficiency
Topic: Fractions and Ratios
Replies: 0
Views: 731

Fractions and Ratios

A recipe for egg nog calls for \(2\) eggs for every \(3\) cups of milk. If there are \(4\) cups in a quart, how many eggs will be needed to mix with \(6\) quarts of milk?

A. \(12\)
B. \(16\)
C. \(24\)
D. \(36\)
E. \(48\)

The OA is B

by swerve

Thu Feb 06, 2025 6:40 am
Forum: Problem Solving
Topic: Fractions and Ratios
Replies: 0
Views: 732