## Search found 2226 matches

#### Remainders

##### Remainders

A number when successively divided by $$3, 5$$ and $$8$$ leaves remainders $$1, 4$$ and $$7$$ respectively. Find the respective remainders when the order of the divisors is reversed.

A. $$8, 5, 3$$
B. $$4, 2, 1$$
C. $$3, 2, 1$$
D. $$6, 4, 2$$
E. None of the above

The OA is D

by swerve

Sun Mar 03, 2024 9:31 am
Forum: Problem Solving
Topic: Remainders
Replies: 0
Views: 54

#### Distance/Rate Problems, Word Problems

##### Distance/Rate Problems, Word Problems

Runners $$X$$ and $$Y$$ started an $$18$$-mile race at the same time. Runner $$X$$ completed the course in $$6$$ hours, and Runner $$Y$$ finished $$2$$ hours earlier. Runner $$Y$$ ran an average of how many miles per hour faster than Runner $$X?$$ A. $$1$$ B. $$1\dfrac{1}{2}$$ C. $$2\dfrac{1}{4}$$ D...

by swerve

Wed Feb 21, 2024 6:05 pm
Forum: Problem Solving
Topic: Distance/Rate Problems, Word Problems
Replies: 0
Views: 37

#### Distance/Rate Problems, Fractions/Ratios/Decimals, Word Problems

##### Distance/Rate Problems, Fractions/Ratios/Decimals, Word Problems

If Danielle ran a race at a constant speed, at what time did she finish?

1. Danielle started the race at $$8{:}00 \,\text{a.m.}$$

2. At $$9{:}30 \,\text{a.m.}$$ Danielle was halfway through the race, and at $$10{:}00\, \text{a.m.}$$, she was $$2/3$$ of the way through the race

The OA is B

by swerve

Wed Feb 21, 2024 5:57 pm
Forum: Data Sufficiency
Topic: Distance/Rate Problems, Fractions/Ratios/Decimals, Word Problems
Replies: 0
Views: 26

#### Distance/Rate Problems

##### Distance/Rate Problems

Ramesh and Suresh both ran a $$30$$ mile marathon. Ramesh ran $$10$$ miles at $$10\,\text{mph}$$ and the the remaining $$20$$ miles at $$5\,\text{mph}$$. Suresh ran one third (by time) of the marathon at $$10\,\text{mph}$$ and the remaining two thirds at $$5\,\text{mph}$$. Which of the following mus...

by swerve

Wed Feb 21, 2024 5:42 pm
Forum: Problem Solving
Topic: Distance/Rate Problems
Replies: 0
Views: 39

#### Combinations, Coordinate Geometry

##### Combinations, Coordinate Geometry

A $$16$$-step path is to go from $$(-4,-4)$$ to $$(4,4)$$ with each step increasing either the $$x$$-coordinate or the $$y$$-coordinate by $$1.$$ How many such paths stay outside or on the boundary of the square $$-2 \leq x \leq 2,$$ $$-2 \leq y \leq 2$$ at each step? A. $$92$$ B. $$144$$ C. $$1,568... by swerve Thu Feb 15, 2024 7:55 am Forum: Problem Solving Topic: Combinations, Coordinate Geometry Replies: 0 Views: 39 #### Coordinate Geometry ###### Data Sufficiency ##### Coordinate Geometry The slope of line n in the \(xy$$-plane is not $$0$$ and the $$y$$-intercept of line n in the $$xy$$-plane is not $$0.$$ The equation of line $$n$$ is $$y = mx + b,$$ where $$m$$ and $$b$$ are constants. What is the value of $$m + b?$$ 1) The $$y$$-intercept is equal to the square of the $$x$$-inter...

by swerve

Thu Feb 15, 2024 7:44 am
Forum: Data Sufficiency
Topic: Coordinate Geometry
Replies: 0
Views: 26

#### Coordinate Geometry, Functions And Custom Characters

##### Coordinate Geometry, Functions And Custom Characters

The graph above shows a parabola that is symmetric about the $$x$$-axis. Which one of the following could be the equation of the graph?

A. $$x = -y^2 − 1$$
B. $$x = -y^2$$
C. $$x = -y^2 + 1$$
D. $$x = y^2 -1$$
E. $$x = (y + 1)^2$$

The OA is A

by swerve

Thu Feb 15, 2024 7:34 am
Forum: Problem Solving
Topic: Coordinate Geometry, Functions And Custom Characters
Replies: 0
Views: 95

#### A teacher has $$120$$ pens, consisting of $$72$$ black pens and $$48$$ red pens. The teacher wants to put together

##### A teacher has $$120$$ pens, consisting of $$72$$ black pens and $$48$$ red pens. The teacher wants to put together

A teacher has $$120$$ pens, consisting of $$72$$ black pens and $$48$$ red pens. The teacher wants to put together packets for her students in which she uniformly distributes the black and red pens among the packets so that none of the pens are left over and all the packets have the same ratio of bl...

#### Anthony can purchase bagels at $$\1.99$$ for a specialty bagel and $$\15.99$$ for a package of one dozen plain bagels.

##### Anthony can purchase bagels at $$\1.99$$ for a specialty bagel and $$\15.99$$ for a package of one dozen plain bagels.

Anthony can purchase bagels at $$\1.99$$ for a specialty bagel and $$\15.99$$ for a package of one dozen plain bagels. If Anthony can purchase only specialty bagels or packages of plain bagels, did Anthony purchase any plain bagels? 1) Anthony spent less than $$\32.00$$ 2) Anthony spent more than...

#### Babia has seven more marbles than three times the number of marbles that Joe has. If Babia has $$B$$ marbles and Joe has

##### Babia has seven more marbles than three times the number of marbles that Joe has. If Babia has $$B$$ marbles and Joe has

Babia has seven more marbles than three times the number of marbles that Joe has. If Babia has $$B$$ marbles and Joe has $$J$$ marbles, which of the following is a possible value for $$B?$$ I. $$10$$ II. $$18$$ III. $$49$$ A. I only B. II only C. III only D. I and III only E. I, II, and III The OA i...

#### Arithmetic, Percent And Interest Problems

##### Arithmetic, Percent And Interest Problems

John received a raise in his fixed salary in April $$2017$$ over March $$2017.$$ Was the raise in his fixed salary greater than $$20\%?$$

1. John's fixed salary in March $$2017$$ was less than $$\4200$$

2. John received a raise of $$\910$$ in his fixed salary in April $$2017$$

The OA is C

by swerve

Mon Jan 29, 2024 11:56 am
Forum: Data Sufficiency
Topic: Arithmetic, Percent And Interest Problems
Replies: 0
Views: 46

#### Arithmetic, Word Problems

##### Arithmetic, Word Problems

Tom's movers charge $$\100$$ per hour for their moving services with a $$25\%$$ discounted hourly rate after $$4$$ hours. How long did Maria's move take if her total bill was $$\565.00?$$ A. $$6$$ hours, $$12$$ minutes B. $$6$$ hours, $$45$$ minutes C. $$7$$ hours D. $$7$$ hours, $$10$$ minutes E....

by swerve

Mon Jan 29, 2024 11:51 am
Forum: Problem Solving
Topic: Arithmetic, Word Problems
Replies: 0
Views: 47

#### Arithmetic

##### Arithmetic

There are $$12$$ boys and $$12$$ girls in a class. Is the average weight of the entire class of these $$27$$ students, greater than $$40\,\text{kg}?$$

1. Average weight of $$15$$ boys is greater than $$42\text{ kg}$$

2. Average weight of $$12$$ girls is lesser than $$38\,\text{kg}$$

The OA is E

by swerve

Mon Jan 29, 2024 11:40 am
Forum: Data Sufficiency
Topic: Arithmetic
Replies: 0
Views: 64

#### Arithmetic, Number Properties

##### Arithmetic, Number Properties

What is the sum of all even integers between $$30$$ and $$50,$$ inclusive?

A. $$640$$
B. $$540$$
C. $$480$$
D. $$440$$
E. $$240$$

The OA is D

by swerve

Mon Jan 29, 2024 11:32 am
Forum: Problem Solving
Topic: Arithmetic, Number Properties
Replies: 0
Views: 48

#### Coordinate Geometry

##### Coordinate Geometry

The point that bisects the line depicted in the figure above is:

A. $$(1.25; 0.75)$$

B. $$(1.25; 2.25)$$

C. $$(1.25; 2)$$

D. $$(1.25; 1.25)$$

E. $$(1.5; 1.25)$$

The OA is A

by swerve

Wed Jan 17, 2024 6:13 pm
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 54