ANU UG/Degree 1st Sem Analytical Skills Important Questions (Skill Enhancement Courses) are now available. These questions are prepared by top experienced faculty. By preparing these questions you can get good marks in your external exams.

UNIT – 1

**Arithmetic ability:** Algebraic operations BODMAS, Fractions, Divisibility rules, LCM & GCD
(HCF).

**Verbal Reasoning:** Number Series, Coding & Decoding, Blood relationship, Clocks, Calendars

**Arithmetic Ability:**

- Simplify the expression: 2 + 3 * 5 - 4 / 2
- Convert the mixed number 3 1/2 to a fraction.
- List the divisibility rules for 4 and 8.
- What is the LCM of 12 and 18?
- What is the average of 10, 12, 14, and 16?

**Fractions:**

- Simplify the fraction 12/36.
- Add the fractions 1/4 and 1/6.
- Subtract the fractions 5/8 and 2/3.
- Multiply the fractions 3/4 and 2/5.
- Convert the decimal 0.75 to a fraction.

**Number Series:**

- Find the next term in the series: 2, 5, 8, 11, ...
- What is the missing term in the series: 3, 6, 9, ___, 15?
- Solve the equation: x + 5 = 10
- What is the sum of the first 5 natural numbers?
- What is the greatest common factor of 12 and 16?

**Coding & Decoding:**

- Decode the message: UIF FYQMPZ JT WBMVF.
- What is the Caesar cipher with shift 3?
- Encode the message: "Meet me at the park" using a simple substitution cipher.
- Decode the message: 12 5 1 14 19 7 20 8 5
- Explain the difference between a substitution cipher and a transposition cipher.

**Blood Relationship:**

- If A is the mother of B and B is the brother of C, what is C's relationship to A?
- If E is the daughter of F and F is the sister of G, what is the relationship between E and G?
- If H is the uncle of I and I is the nephew of J, what is the relationship between H and J?
- If K is the son of L and L is the father-in-law of M, what is the relationship between K and M?
- If N is the granddaughter of O and O is the wife of P, what is the relationship between N and P?

**Clocks:**

- What time is it 3 hours after 8:00 AM?
- How many minutes are there between 10:15 AM and 12:30 PM?
- If a train leaves at 5:45 PM and arrives at its destination at 8:30 PM, how long is the journey?
- What time will it be 45 minutes after 6:15 PM?
- If a meeting starts at 10:00 AM and lasts for 2 hours, what time does it end?

**Calendars:**

- What is the day of the week on May 25, 2023?
- How many days are there between February 1st and April 30th in a non-leap year?
- What is the Julian date for December 25th, 2023?
- How many days are there in the month of November?
- What is the Chinese Zodiac sign for the year 1998?

** UNIT-II**

**Quantitative aptitude**: Averages, Ratio and proportion, Problems on ages, Time-distance –
speed.

**Business computations:** Percentages, Profit & loss, Partnership, simple compound interest.

**Quantitative Aptitude:**

- Calculate the average of 10, 12, 14, and 16.
- What is the ratio of 2 meters to 80 centimeters?
- If A is 2 years older than B and B is 10 years old, how old is A?
- If a car travels 120 kilometers in 2 hours, what is its speed?
- What is the simple interest on a sum of $1000 at 5% interest compounded annually for 2 years?

**Business Computations:**

- Calculate a 15% discount on a price of $20.
- If the cost price of an item is $100 and the selling price is $120, what is the profit percentage?
- If A and B invest $1000 and $2000 respectively in a business for 6 months, how should the profit be divided?
- Calculate the compound interest on a sum of $5000 at 4% interest compounded annually for 5 years.
- A shop owner buys a watch for $80 and sells it for $100. What is the percentage mark-up?

**Quantitative Aptitude:**

- Solve the word problem: A train travels 200 kilometers in 4 hours. If it stops for 30 minutes during the journey, what is the average speed of the train?
- Explain the concept of weighted average and give an example of its application.
- A farmer has 100 chickens. If the ratio of hens to roosters is 3:2, how many hens and roosters does he have?
- Two cars leave a city at the same time, travelling in opposite directions. One car travels 60 km/h and the other travels 80 km/h. How far apart will they be after 3 hours?
- Explain the difference between speed, velocity, and acceleration.

**Business Computations:**

- A company makes a profit of 20% on its sales. If the total sales amount to $100,000, what is the profit amount?
- Two partners invest $50,000 and $75,000 respectively in a business for a year. If the total profit is $30,000, how should the profit be divided?
- Explain the difference between simple interest and compound interest and provide examples of their applications.
- Calculate the break-even point for a product that has a variable cost of $5 per unit and a selling price of $10 per unit.
- A company borrows $100,000 at an annual interest rate of 10%. If the company makes annual payments of $20,000, how many years will it take to pay off the loan?

**UNIT – 3:
Data Interpretation **

Tabulation, Bar Graphs, Pie Charts, line Graphs. Venn diagrams.

- What is the difference between a bar graph and a histogram?
- When is a line graph the most appropriate choice for data visualization?
- How can you determine the central tendency of a dataset from a pie chart?
- What information is conveyed by the different segments in a Venn diagram?
- How can you calculate the percentage of a specific category from a bar graph without a legend?

- Analyze the given data table and answer the following questions:
- Identify the trends and patterns in the data.
- Compare and contrast the values for different categories.
- Which category exhibits the highest/lowest values?

- Create a suitable graph or chart to represent the provided data and explain your reasoning.
- Analyze and compare the information presented in two different data visualizations.
- Interpret the relationships between different categories based on a given Venn diagram.
- Use the provided data to solve a real-world problem or make predictions about future trends.

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