Questions and Answers
What is the next number in the series: 2, 6, 12, 20, 30?
If a train travels 180 miles in 4 hours, what is its speed in miles per hour?
A store sells an item for $100, making a 25% profit. What is the cost price of the item?
If the ratio of two numbers is 2:3 and their sum is 50, what are the numbers?
Signup and view all the answers
A boat can go 20 miles upstream in 4 hours and 16 miles downstream in 2 hours. What is the speed of the current?
Signup and view all the answers
What is the average of the following numbers: 10, 20, 30, 40, and 50?
Signup and view all the answers
A person spends 30% of his salary on rent, 20% on food, and 10% on transportation. What percentage of his salary is left?
Signup and view all the answers
If a discount of 20% is offered on a product costing $100, what is the selling price?
Signup and view all the answers
What is the conclusion in the statement 'Some animals are dogs. Therefore, some cats are dogs'?
Signup and view all the answers
In the statement 'If all roses are flowers and some flowers fade quickly, then:', what can be concluded?
Signup and view all the answers
In a group of 40 people, 25 like tea, 30 like coffee, and 10 like both tea and coffee. What can be said about the people who like neither tea nor coffee?
Signup and view all the answers
What is definitely false in the statement 'If all B are C and some C are D'?
Signup and view all the answers
In the photograph scenario, who is the person in the picture?
Signup and view all the answers
Solve for x in the equation 2x + 3 = 7.
Signup and view all the answers
What can be concluded about John, Mark, and Sam's heights?
Signup and view all the answers
Find the next number in the series: 2, 6, 12, 20, __?
Signup and view all the answers
Study Notes
Quantitative Aptitude
Number Sequences and Patterns
- The next number in the series 2, 6, 12, 20, 30 is 42.
- To find the next number in a series, look for a pattern or a consistent difference between terms.
Speed and Distance
- If a train travels 150 miles in 3 hours, its speed is 50 miles per hour.
- To find speed, divide distance by time.
Profit and Loss
- If a store sells an item for $120, making a 20% profit, the cost price of the item is $100.
- To find cost price, divide selling price by (1 + profit percentage).
Ratios and Proportions
- If the ratio of two numbers is 3:4 and their sum is 84, the numbers are 36 and 48.
- To find the numbers, multiply the ratio by a scale factor to get the sum.
Speed of Current
- A boat can go 15 miles upstream in 3 hours and 12 miles downstream in 2 hours, so the speed of the current is 3 mph.
- To find the speed of a current, find the difference between upstream and downstream speeds.
Averages
- The average of the numbers 8, 15, 22, 29, and 36 is 24.
- To find the average, add the numbers and divide by the count.
Expenditure and Savings
- If a person spends 40% of their salary on rent, 25% on food, and 15% on transportation, 20% of their salary is left.
- To find the remaining percentage, subtract the percentages spent from 100%.
Discounts
- If a discount of 15% is offered on a product costing $80, the selling price is $68.
- To find the selling price, subtract the discount from the original price.
Depreciation
- If a car's value depreciates by 10% each year and its initial value was $20,000, its value after 3 years is $14,580.
- To find the depreciated value, multiply the initial value by the depreciation percentage for each year.
Cost and Sales
- If 5 pens cost $12, the cost of 8 pens is $19.20.
- To find the cost, divide the total cost by the number of items and multiply by the new number of items.
Logical Reasoning
Syllogisms
- All cats are animals, and some animals are dogs, but the conclusion that some cats are dogs is invalid.
- Be careful when making conclusions based on general statements.
Inferences
- If all roses are flowers and some flowers fade quickly, then some flowers do not fade quickly.
- Make inferences based on the given statements, but avoid making assumptions.
Venn Diagrams
- In a group of 40 people, 25 like tea, 30 like coffee, and 10 like both, so 5 people like neither tea nor coffee.
- Use Venn diagrams to visualize sets and find the intersection and union of sets.
Deductions
- If all B are C and some C are D, then it is definitely false that all B are D.
- Analyze the statements to find the contradiction.
Word Problems
- The person in the photograph is the man's son.
- Read the problem carefully and use the given information to find the answer.
Algebra
- If 2x + 3 = 7, then x is 2.
- Solve the equation by isolating the variable.
Comparisons
- John is taller than Mark, and Mark is taller than Sam, so Sam is the shortest.
- Compare the statements to find the relative order.
Number Patterns
- The missing number in the series 2, 6, 12, 20, __ is 30.
- Find the pattern or consistent difference between terms to find the next number.
Time and Angles
- The angle between the hour and minute hands of a clock at 3:00 PM is 90 degrees.
- Calculate the angle based on the time and the positions of the hands.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your logical thinking with these reasoning questions, covering arguments, syllogisms, and more.
