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Geometry

What is the volume, in cubic meters, of the water in a certain rectangular tank, if the constant depth of the water is \(1/3\) feet? 1) The base of the rectangular tank is \(6\) feet wide and \(8\) feet long 2) If water is drained from the tank until the depth of the remaining water is \(1/4\) feet,...

by swerve

Fri May 16, 2025 7:13 pm
Forum: Data Sufficiency
Topic: Geometry
Replies: 0
Views: 319

Geometry

If the lengths of the sides of squares \(S\) and \(T\) are \(\sqrt{5}\) and \(\sqrt{7}\) respectively, then the area of \(T\) minus the area of \(S\) is

A. \(\sqrt{2}\)
B. \(2\)
C. \(4\)
D. \(24\)
E. \(35\)

The OA is B

by swerve

Fri May 16, 2025 6:57 pm
Forum: Problem Solving
Topic: Geometry
Replies: 0
Views: 395

Geometry

2015-01-14_1320.png In the figure above, segments \(AB\) and \(CD\) represent two different ways the same steel girder can support wall \(EC.\) The length of \(AE\) is how much greater than the length \(DE?\) 1. The length of \(AB\) is \(20\) meters 2. The length of \(DE\) is \(8\) meters The OA is...

by swerve

Fri May 16, 2025 6:44 pm
Forum: Data Sufficiency
Topic: Geometry
Replies: 2
Views: 351

Geometry

2017-10-04_1125_002.png
If the area of the trapezoid \(GECD\) above is \(90,\) what is the area of \(\triangle{EFG}?\)

A. \(60\)
B. \(64\)
C. \(66\)
D. \(68\)
E. \(72\)

The OA is C

by swerve

Fri May 16, 2025 6:28 pm
Forum: Problem Solving
Topic: Geometry
Replies: 0
Views: 354

Remainders

When the positive integer \(x\) is divided by \(42,\) the remainder is \(9.\) What is the remainder when \(x\) is divided by \(7?\)

A. \(0\)
B. \(2\)
C. \(3\)
D. \(4\)
E. \(5\)

The OA is E

by swerve

Sun May 11, 2025 10:59 am
Forum: Problem Solving
Topic: Remainders
Replies: 0
Views: 2701

Exponents, Remainders

If \(n\) and \(k\) are a positive integer, what is the remainder when \(3^{(4n+k)}\) is divided by \(10?\)

1. \(n=11\)

2. \(k=17\)

The OA is B

by swerve

Sun May 11, 2025 10:46 am
Forum: Data Sufficiency
Topic: Exponents, Remainders
Replies: 0
Views: 420

Remainders

If the remainder is \(1\) when the positive integer \(n\) is divided by \(15,\) what is the remainder when \(n\) is divided by \(5?\)

A. \(1\)
B. \(2\)
C. \(3\)
D. \(4\)
E. It cannot be determined from the information given

The OA is A

by swerve

Sun May 11, 2025 10:34 am
Forum: Problem Solving
Topic: Remainders
Replies: 0
Views: 1461

Arithmetic, Fractions and Ratios

A company called Nutrilicious offers its Calcium tablets in three different packet sizes, containing \(30, 60\) and \(90\) tablets each, respectively. How many packets in total, including all the three types, were bought by Maria? 1. Ratio of the number of packets bought by Maria containing \(30\) a...

by swerve

Sun May 04, 2025 10:38 am
Forum: Data Sufficiency
Topic: Arithmetic, Fractions and Ratios
Replies: 0
Views: 549

On a number line, what is the distance between \(-3\) and \(7?\)

On a number line, what is the distance between \(-3\) and \(7?\)

A. \(10\)
B. \(8\)
C. \(7\)
D. \(5\)
E. \(4\)

The OA is A

by swerve

Sun May 04, 2025 10:25 am
Forum: Problem Solving
Topic: On a number line, what is the distance between \(-3\) and \(7?\)
Replies: 0
Views: 763

Arithmetic

What is the tens' digit of a \(3\)-digit positive integer?

1. The integer is divisible by \(9\)

2. The hundreds' digit is \(9\) times the units' digit

The OA is C

by swerve

Sun May 04, 2025 10:10 am
Forum: Data Sufficiency
Topic: Arithmetic
Replies: 0
Views: 666

Arithmetic

1(1).jpg
On the number line above, what number corresponds to a point that is \(2/5\) of the distance from \(10\) to \(40?\)

A. \(6\)
B. \(8\)
C. \(12\)
D. \(15\)
E. \(22\)

The OA is E

by swerve

Sun May 04, 2025 9:57 am
Forum: Problem Solving
Topic: Arithmetic
Replies: 0
Views: 1257

Word Problems

On a certain test, Bill scored \(20\) more points than John, but half as many points as Sue. If the sum of the scores of the three students was \(180\) points, how many points did Bill receive?

A. \(30\)
B. \(40\)
C. \(50\)
D. \(80\)
E. \(100\)

The OA is C

by swerve

Fri Apr 25, 2025 6:48 am
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 1134

Word Problems

Piper bought three shirts. The three shirts cost \(\$210\) in total, not including sales tax. What was the cost of the most expensive shirt?

1. One shirt was twice as expensive as exactly one of the other shirts

2. One shirt costs one-half as much as exactly one of the other shirts

The OA is E

by swerve

Fri Apr 25, 2025 6:40 am
Forum: Data Sufficiency
Topic: Word Problems
Replies: 0
Views: 626

Word Problems

Few marbles are put into \(8\) pouches such that each pouch contains at least one marble. At the most \(4\) pouches can contain the same number of marbles, and no two of the remaining pouches can contain an equal number of marbles. What is the least possible number of marbles in the \(8\) pouches? A...

by swerve

Fri Apr 25, 2025 6:30 am
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 791

Mixture Problems

Three friends, \(A, B\) and \(C\) decided to have a beer party. If each of the three friends consumed equal quantities of beer, and paid equally for it, what was the price of one beer bottle? 1. \(A, B\) and \(C\) brought along \(4, 6\) and \(2\) bottles of beer, respectively; all bottles of beer be...

by swerve

Tue Apr 15, 2025 9:23 am
Forum: Data Sufficiency
Topic: Mixture Problems
Replies: 0
Views: 871