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A man travelled from one city to another. What is the distance between the two cities?

A man travelled from one city to another. What is the distance between the two cities?

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...

Every student at Darcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing,

Every student at Darcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing,

Every student at Darcy School is in at least one of three clubs: horseback riding, embroidery, and country dancing, which are the only clubs in existence at the school. The ratio of the number of students in exactly two clubs to the number of students in exactly one club is $$4{:}3,$$ while the rati...

Word Problems

Word Problems

A caterer normally charges $$\15$$ per person plus a $$\10$$ delivery fee for 'in-advance' orders but charges $$\20$$ per person plus a rush delivery fee for same-day orders. If Amy places a same-day order for her company, by what percent is her total cost greater than if she had placed the same ...

by swerve

Sat Aug 31, 2024 5:28 pm
Forum: Data Sufficiency
Topic: Word Problems
Replies: 0
Views: 86

Word Problems

Word Problems

An online bookstore reported total sales of $$\768$$ million for the first quarter of the current year. If the total sales for the first quarter of the previous year was $$\640$$ million, what is the percent increase in total sales? A. $$5\%$$ B. $$15\%$$ C. $$17\%$$ D. $$20\%$$ E. $$80\%$$ The OA...

by swerve

Sat Aug 31, 2024 5:17 pm
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 86

Fractions and Ratios, Percent and Interest Problems, Word Problems

Fractions and Ratios, Percent and Interest Problems, Word Problems

A comics bookstore has comics of only Superman, Batman and Flash. What percent of all comics in the store is on Batman?

1. The ratio of the number of comics of Flash, Batman, and Superman, in the library, is $$2{:}7{:}5$$
2. There are $$14$$ Batman comics in the library

The OA is A

by swerve

Sat Aug 31, 2024 5:08 pm
Forum: Data Sufficiency
Topic: Fractions and Ratios, Percent and Interest Problems, Word Problems
Replies: 0
Views: 68

Word Problems

Word Problems

Last year, Christine received $$12$$ monthly paychecks. Each of the first four months’ paychecks was for $$\4500,$$ and each of the remaining months’ paychecks was for $$\4800.$$ What was her average paycheck for the year? A. $$\4600$$ B. $$\4650$$ C. $$\4700$$ D. $$\4750$$ E. $$\4800$$ The O...

by swerve

Sat Aug 31, 2024 4:57 pm
Forum: Problem Solving
Topic: Word Problems
Replies: 0
Views: 85

Percent and Interest Problems, Word Problems

Percent and Interest Problems, Word Problems

Tickets went on sale for a $$120,000$$ person concert and $$30\%$$ of the total revenue was allocated to charity. If the price of each ticket was $$\10,$$ and the non-charitable revenue was $$\357,000,$$ how many tickets were unsold? A. None B. $$5,100$$ C. $$15,300$$ D. $$51,000$$ E. $$69,000$$ T...

by swerve

Sat Aug 24, 2024 4:03 pm
Forum: Problem Solving
Topic: Percent and Interest Problems, Word Problems
Replies: 0
Views: 161

Arithmetic

Arithmetic

Mani, Sani and Karna have $$x, y$$ and $$z$$ number of chocolates respectively. Does Sani have the average of the total number of chocolates among all three?

1. $$y$$ is $$20\%$$ more than $$z$$ and $$25\%$$ less than $$x$$

2. $$x = 32$$

The OA A

by swerve

Sat Aug 24, 2024 3:50 pm
Forum: Data Sufficiency
Topic: Arithmetic
Replies: 0
Views: 114

Percent and Interest Problems

Percent and Interest Problems

In a certain school library, $$60\%$$ of the books are clothbound books. If $$30\%$$ of those are works of fiction, then what percentage of all books in the library are clothbound works of fiction?

A. $$90\%$$
B. $$30\%$$
C. $$20\%$$
D. $$18\%$$
E. $$2\%$$

The OA is D

by swerve

Sat Aug 24, 2024 3:41 pm
Forum: Problem Solving
Topic: Percent and Interest Problems
Replies: 0
Views: 139

Distance and Speed Problems

Distance and Speed Problems

Julio covers first $$r$$ miles of his journey at $$x$$ miles per hour and the last $$s$$ miles of his journey at $$y$$ miles per hour. Is the time taken to cover the first $$r$$ miles of the journey greater than the time taken to cover the last $$s$$ miles of his journey? 1. $$r$$ is $$10$$ greater ...

by swerve

Tue Aug 13, 2024 2:56 pm
Forum: Data Sufficiency
Topic: Distance and Speed Problems
Replies: 0
Views: 311

Distance and Speed Problems

Distance and Speed Problems

A Barman's train rails across an open track at $$250$$ kilometers per hour. A regular passenger train travels at $$68\%$$ of the Barman's train speed. If the two trains start moving from the same station at the same time, how much time longer will it take the passenger train than the Barman's to tra...

by swerve

Tue Aug 13, 2024 2:45 pm
Forum: Problem Solving
Topic: Distance and Speed Problems
Replies: 0
Views: 266

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: 293

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: 444

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: 281

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: 348