## Search found 2248 matches

#### Arithmetic

##### Arithmetic

A team played more than $$50$$ and less than $$60$$ matches in an entire year. Each match ended in either a win or a loss for this team. Did this team play more than $$55$$ matches in that year? 1) The team won $$2/3$$ of the first $$1/3$$ of its matches played during the year 2) Out of its latter h...

by swerve

Sun Jun 09, 2024 2:12 pm
Forum: Data Sufficiency
Topic: Arithmetic
Replies: 0
Views: 39

#### Arithmetic, Number Properties

##### Arithmetic, Number Properties

If $$3^k$$ is a divisor of the product of all even integers between $$2$$ and $$30$$ (inclusive), what is the maximum value of $$k?$$

A. $$4$$
B. $$6$$
C. $$10$$
D. $$13$$
E. $$14$$

The OA is B

by swerve

Sun Jun 09, 2024 2:05 pm
Forum: Problem Solving
Topic: Arithmetic, Number Properties
Replies: 0
Views: 25

#### Arithmetic, Distance And Speed Problems

##### Arithmetic, Distance And Speed Problems

Truck $$T_1$$ gives an average of $$M_1$$ miles per gallon of petrol while truck $$T_2$$ gives an average of $$M_2$$ miles per gallon of petrol. Both trucks travelled from a city to another, covering a distance of $$1200$$ miles each in this process. What is the difference in the number of gallons o...

by swerve

Sun Jun 09, 2024 1:55 pm
Forum: Data Sufficiency
Topic: Arithmetic, Distance And Speed Problems
Replies: 0
Views: 19

#### Arithmetic

##### Arithmetic

Ten years ago, the average age of a couple was $$27$$ years old. Today also the average age of the couple and their baby is $$27$$ years old. Find the present age of the baby.

A. $$4$$
B. $$3$$
C. $$2$$
D. $$5$$
E. $$7$$

The OA is E

by swerve

Sun Jun 09, 2024 1:43 pm
Forum: Problem Solving
Topic: Arithmetic
Replies: 0
Views: 26

#### Percent And Interest Problems

##### Percent And Interest Problems

If the current price per gallon of gas were to be decreased by approximately $$25$$ percent, $$10$$ more gallons could be bought for $$\66.$$ What is the current price per gallon of gas?

A. $$\1.45$$
B. $$\1.65$$
C. $$\1.80$$
D. $$\2.20$$
E. $$\2.40$$

The OA is D

by swerve

Sun Jun 02, 2024 8:03 am
Forum: Problem Solving
Topic: Percent And Interest Problems
Replies: 0
Views: 35

#### Distance And Speed Problems

##### Distance And Speed Problems

A man travelled from one city to another. What is the distance between the two cities? 1. He travelled the first $$1/4$$ of his distance at a uniform speed of $$15$$ miles per hour. Thereafter, he increased his speed to $$20$$ miles per hour 2. The time for which he travelled at $$20$$ miles per hou...

by swerve

Sun Jun 02, 2024 7:54 am
Forum: Data Sufficiency
Topic: Distance And Speed Problems
Replies: 0
Views: 30

#### Percent And Interest Problems

##### Percent And Interest Problems

In a certain city, the average income for a family of four rose from $$\12,200$$ in $$1980$$ to $$\16,300$$ in $$1986.$$ This represents an increase of approximately

A. $$4\%$$
B. $$25\%$$
C. $$33 1/3 \%$$
D. $$40\%$$
E. $$60\%$$

The OA is C

by swerve

Sun Jun 02, 2024 7:42 am
Forum: Problem Solving
Topic: Percent And Interest Problems
Replies: 0
Views: 27

#### Coordinate Geometry

##### Coordinate Geometry

In a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates $$(-4, 1), (1, 1), (1, -3)$$ and $$(-4, -3)?$$

A. $$16$$
B. $$20$$
C. $$24$$
D. $$25$$
E. $$30$$

The OA is B

by swerve

Sat May 25, 2024 9:58 am
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 51

#### Coordinate Geometry

##### Coordinate Geometry

Does the parabola $$y=mx^2+4mnx+4n,$$ where $$m$$ and $$n$$ are constants, intersect the $$x$$-axis?

1. $$mn > 1$$

2. $$m > n$$

The OA is A

by swerve

Sat May 25, 2024 9:46 am
Forum: Data Sufficiency
Topic: Coordinate Geometry
Replies: 0
Views: 42

#### Coordinate Geometry

##### Coordinate Geometry

What is the shortest distance between the following $$2$$ lines: $$x + y = 3$$ and $$2x + 2y = 8?$$

A. $$0$$
B. $$1/4$$
C. $$1/2$$
D. $$\sqrt{2}/2$$
E. $$\sqrt{2}/4$$

The OA is D

by swerve

Sat May 25, 2024 9:35 am
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 34

#### Distance Problems

##### Distance Problems

A stretch of land measuring $$50 \text{ m}$$ in length is covered with wall on sides. If $$2*2 *2 \text{ m}$$ boxes are to placed at equal interval of $$5\text{ m}$$ from each other and at least $$5 \text{ m}$$ from the walls, how many boxes can be placed in entire length of $$50\text{ m}?$$ A. $$6\... by swerve Sun May 19, 2024 2:17 pm Forum: Problem Solving Topic: Distance Problems Replies: 0 Views: 76 #### Word Problems ###### Data Sufficiency ##### Word Problems Did Jennifer spend more than \(x$$ dollars at her favorite sushi restaurant, including the tip?

1) Jennifer left a tip equal to $$20$$ percent of the cost of the meal

2) Jennifer's meal cost $$(x - 10)$$ dollars excluding the tip

The OA is E

by swerve

Sun May 19, 2024 2:01 pm
Forum: Data Sufficiency
Topic: Word Problems
Replies: 0
Views: 64

#### Word Problems

##### Word Problems

In country $$X$$ a returning tourist may import goods with a total value of $$\600$$ or less tax free, but must pay a $$15$$ percent tax on the portion of the total value in excess of $$\600.$$ What tax must be paid by a returning tourist who imports good with a total value of $$\870?$$ A. $$\35... by swerve Sun May 19, 2024 1:47 pm Forum: Problem Solving Topic: Word Problems Replies: 0 Views: 73 #### Probability ###### Data Sufficiency ##### Probability A bag contains \(r$$ red, $$g$$ green, and $$w$$ white marbles, where $$r, g$$ and $$w$$ are all positive integers. If one marble is picked randomly, is the probability that the marble is red higher than the probability that the marble is either green or white? 1) The probability of selecting a gree...

by swerve

Sun May 12, 2024 9:12 am
Forum: Data Sufficiency
Topic: Probability
Replies: 0
Views: 106

#### Overlapping Sets

##### Overlapping Sets

All but $$4$$ of the counselors on staff at a certain summer camp have sailing certification, first aid certification, or both. Twice as many counselors have neither certification as have both certifications, and $$7$$ counselors have sailing certification. If there are a total of $$22$$ counselors ...

by swerve

Sun May 12, 2024 8:53 am
Forum: Problem Solving
Topic: Overlapping Sets
Replies: 0
Views: 59