## Search found 2270 matches

#### Mixture Problems

##### Mixture Problems

A bag contains a mixture of beans and pulses. To achieve $$20$$ percent beans in the mixture, what percent of the mixture should be taken out and replaced with pulses? 1. The mixture originally has $$40$$ percent beans and $$60$$ percent pulses 2. Total quantity of the mixture is $$20\,\text{lb}$$ T...

by swerve

Wed Aug 07, 2024 5:09 pm
Forum: Data Sufficiency
Topic: Mixture Problems
Replies: 0
Views: 35

#### Fractions and Ratios, Mixture Problems

##### Fractions and Ratios, Mixture Problems

In what proportion must rice at $$\3.10$$ per $$\text{kg}$$ be mixed with rice at $$\3.60$$ per $$\text{kg}$$ so that the mixture be worth $$\3.25$$ per $$\text{kg}?$$

A. $$3{:}7$$
B. $$3{:}5$$
C. $$5{:}3$$
D. $$7{:}3$$
E. $$8{:}3$$

The OA is D

by swerve

Wed Aug 07, 2024 4:54 pm
Forum: Problem Solving
Topic: Fractions and Ratios, Mixture Problems
Replies: 0
Views: 39

#### Mixture Problems

##### Mixture Problems

A certain mixture is made up of compounds $$A, B,$$ and $$C.$$ Compound B accounts for $$70$$ percent of the mixture. How many more liters of compound A must be added so that the mixture is $$25$$ percent compound $$A?$$ 1) If $$3$$ times more compound $$A$$ than is currently in the mixture were add...

by swerve

Wed Aug 07, 2024 4:42 pm
Forum: Data Sufficiency
Topic: Mixture Problems
Replies: 0
Views: 20

#### Mixture Problems

##### Mixture Problems

A $$75-$$liter solution of cool-drink is made from $$8\%$$ jasmine water. If $$3$$ liters of jasmine and $$12$$ liters of water were added to the solution, what percent of the solution is jasmine?

A. $$30.3\%$$
B. $$11.5\%$$
C. $$10\%$$
D. $$12.2\%$$
E. $$12\%$$

The OA is C

by swerve

Wed Aug 07, 2024 4:31 pm
Forum: Problem Solving
Topic: Mixture Problems
Replies: 0
Views: 32

#### Word Problems

##### Word Problems

There were $$P$$ people in a room when a meeting started. $$Q$$ people left the room during the first hour, while $$R$$ people entered the room during the same time. What expression gives the number of people in the room after the first hour as a percentage of the number of people in the room who ha...

by swerve

Thu Aug 01, 2024 4:32 pm
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 40

#### Word Problems

##### Word Problems

A box of chocolates has $$15$$ rows with $$10$$ spaces for chocolates in each row, how many chocolates are in the box? 1. There is an average (arithmetic mean) of $$6$$ empty spaces in the first $$6$$ rows 2. There is an average (arithmetic mean) of $$9$$ empty spaces in the last $$9$$ rows The OA i...

by swerve

Thu Aug 01, 2024 4:15 pm
Forum: Data Sufficiency
Topic: Word Problems
Replies: 0
Views: 30

#### Word Problems

##### Word Problems

A company can sell $$100x$$ machine parts if it charges $$10 - 0.1x$$ dollars for each machine part. How many machine parts can the company sell if it charges $$\4.00$$ for each machine part?

A. $$6$$
B. $$9.6$$
C. $$60$$
D. $$960$$
E. $$6,000$$

The OA is E

by swerve

Thu Aug 01, 2024 4:03 pm
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 39

#### Geometry

##### Geometry

Rectangle $$ABCD$$ is inscribed in circle $$P.$$ What is the area of circle $$P?$$

1. The area of rectangle $$ABCD$$ is $$100$$

2. Rectangle $$ABCD$$ is a square

The OA is C

by swerve

Tue Jul 23, 2024 3:58 pm
Forum: Data Sufficiency
Topic: Geometry
Replies: 0
Views: 120

#### Geometry

##### Geometry

How many different line segments can be drawn to connect all possible pairs of points shown above?

A. $$32$$
B. $$25$$
C. $$20$$
D. $$10$$
E. $$5$$

The OA is D

by swerve

Tue Jul 23, 2024 3:47 pm
Forum: Problem Solving
Topic: Geometry
Replies: 1
Views: 87

#### Coordinate Geometry

##### Coordinate Geometry

In the figure to the right, the equation of the line is $$y = 9x/10 + k.$$ Which one of the following must be true about line segments $$AO$$ and $$BO?$$

A. $$AO > BO$$
B. $$AO < BO$$
C. $$AO \leq BO$$
D. $$AO = BO$$
E. $$AO = BO/2$$

The OA is A

by swerve

Thu Jul 18, 2024 4:40 pm
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 83

#### Coordinate Geometry, Geometry

##### Coordinate Geometry, Geometry

Does the graphical representation of the quadratic function $$f(x) = y = ax^2 + c$$ intersect with the $$x$$- axis?

1. $$a < 0$$
2. $$c > 0$$

The OA is C

by swerve

Thu Jul 18, 2024 4:25 pm
Forum: Data Sufficiency
Topic: Coordinate Geometry, Geometry
Replies: 0
Views: 161

#### Coordinate Geometry

##### Coordinate Geometry

Which of the following points in the coordinate plane lies on the line $$y = 2x – 8?$$

I. $$(3, -2)$$
II. $$(-8, 0)$$
III. $$\left( \dfrac{1}{2}, -7\right)$$

A. I only
B. III only
C. I and II only
D. I and III only
E. I, II, and III

The OA is D

by swerve

Thu Jul 18, 2024 4:19 pm
Forum: Problem Solving
Topic: Coordinate Geometry
Replies: 0
Views: 73

#### Distance And Speed Problems, Geometry

##### Distance And Speed Problems, Geometry

Two airplanes take off from one airfield at noon. One flies due east at $$200$$ miles per hour while the other flies directly northeast at $$283$$ miles per hour. Approximately how many miles apart are the airplanes at $$2 p.m.?$$

A. $$166$$
B. $$332$$
C. $$400$$
D. $$483$$
E. $$566$$

The OA is C

by swerve

Wed Jul 10, 2024 5:08 pm
Forum: Problem Solving
Topic: Distance And Speed Problems, Geometry
Replies: 0
Views: 386

#### Probability

##### Probability

A group of $$30$$ people includes men, women and children. If one person is to be chosen at random from the group, is the probability that a man is chosen greater than the probability that a woman is chosen? 1. The probability that a man is chosen is $$50\%$$ greater than the probability that a chil...

by swerve

Wed Jul 10, 2024 4:53 pm
Forum: Data Sufficiency
Topic: Probability
Replies: 0
Views: 2066

#### Distance And Speed Problems

##### Distance And Speed Problems

A certain train is traveling at a constant rate. If the train travels $$s$$ miles in $$t$$ hours, in how many hours will the train travel $$y$$ miles?

A. $$\dfrac{sy}{t}$$

B. $$\dfrac{st}{y}$$

C. $$\dfrac{ty}{s}$$

D. $$\dfrac{s}{ty}$$

E. $$\dfrac{s+y}{t}$$

The OA is C

by swerve

Wed Jul 10, 2024 4:32 pm
Forum: Problem Solving
Topic: Distance And Speed Problems
Replies: 0
Views: 23558