Are you preparing for the Deloitte Aptitude Test? This section is crucial for securing a spot at Deloitte, and it’s designed to assess your mathematical and logical reasoning skills. With the right preparation, you can easily tackle the quantitative aptitude section, which includes topics taught in high school.
In this article, we’ll walk you through the Deloitte Aptitude Test pattern, key topics you need to master, and provide some practice questions to help you prepare effectively.
The Deloitte Online Aptitude Test is structured to test your proficiency in basic aptitude topics. It typically includes easy to moderate-level questions, which cover a wide range of mathematical concepts. Here’s a breakdown of the test pattern:
To ensure success in the Deloitte Aptitude Test, make sure to focus on the following topics:
Understanding the fundamentals of number theory, including prime numbers, divisibility rules, and number properties.
Learn how to calculate averages, weighted averages, and understand the implications of changes in averages.
Master percentage-based questions, profit/loss percentages, and applications of percentages in real-world problems.
Make sure you can solve problems related to both simple and compound interest.
This is a key area where you’ll need to apply algebraic formulas and solve problems related to distance, time, and speed.
Understand the basics of geometry, including areas, volumes, and properties of shapes.
Master concepts of coordinate geometry, including distance formula, slope, and midpoints.
Get comfortable with the properties and applications of logarithms, particularly in solving exponential equations.
Solve quadratic equations and understand their real-world applications.
Prepare to answer probability-based questions, focusing on calculating odds and outcomes.
Understand how to calculate permutations and combinations and how to apply these concepts to real-life scenarios.
Learn how to solve problems involving work rates, time, and team efforts.
Master the method of alligation for solving mixture and ratio problems.
Prepare for a variety of other topics that may appear, such as logic puzzles or series-based questions.
Question: Find the next number in the series: 2, 6, 12, 20, 30, ___.
Answer: The difference between consecutive numbers is increasing by 2 each time. (6-2 = 4, 12-6 = 6, 20-12 = 8, 30-20 = 10). So, the next difference is 12. 30 + 12 = 42.
Question: A person buys a product for Rs. 500 and sells it for Rs. 600. What is the profit percentage?
Answer: Profit = Selling Price – Cost Price = 600 – 500 = 100. Profit Percentage = (Profit / Cost Price) * 100 = (100 / 500) * 100 = 20%.
Question: A can do a job in 5 days, B can do it in 10 days. How long will it take them to complete the job together?
Answer: A’s rate = 1/5, B’s rate = 1/10. Combined rate = 1/5 + 1/10 = 2/10 + 1/10 = 3/10. Time taken to complete the work = 1 / (3/10) = 10/3 days or 3 days 4 hours.
Question: If a sum of money at simple interest amounts to Rs. 9000 in 2 years at 10% p.a., what is the principal?
Answer: Simple Interest = P * R * T / 100 Let the principal be P. 9000 = P + (P * 10 * 2) / 100 9000 = P + (P * 20) / 100 9000 = P + 0.2P 9000 = 1.2P P = 9000 / 1.2 = 7500.
Question: In how many ways can the letters of the word ‘LEADER’ be arranged?
Answer: The word ‘LEADER’ has 6 letters, with 2 E’s and 2 L’s. The number of distinct arrangements is:
6!2!2!=7204=180\frac{6!}{2!2!} = \frac{720}{4} = 180
So, the number of ways is 180.
Question: A box contains 5 red balls, 7 green balls, and 3 blue balls. If a ball is selected at random, what is the probability of selecting a green ball?
Answer: Total number of balls = 5 + 7 + 3 = 15. The probability of selecting a green ball = 7/15.
Question: The sum of the ages of a father and his son is 60 years. In 10 years, the father’s age will be twice the son’s age. What are their present ages?
Answer: Let the present age of the son be x. Then, the present age of the father is 60 – x. In 10 years, father’s age = 2(son’s age). So, (60 – x + 10) = 2(x + 10). Solving, we get x = 20 (son’s age) and the father’s age is 40.
Question: The average of 5 consecutive even numbers is 30. What are the numbers?
Answer: Let the middle number be x. The 5 consecutive even numbers will be x-4, x-2, x, x+2, x+4. The average = (x-4 + x-2 + x + x+2 + x+4) / 5 = 30. Simplifying, we get 5x / 5 = 30. So, x = 30. The numbers are 26, 28, 30, 32, 34.
Question: A train travels at a speed of 60 km/h. How long will it take to cover a distance of 120 km?
Answer: Time = Distance / Speed = 120 / 60 = 2 hours.
Question: The ratio of the ages of A and B is 3:5. 5 years ago, the ratio was 4:7. What are their present ages?
Answer: Let A’s present age = 3x and B’s present age = 5x. 5 years ago, A’s age = 3x – 5 and B’s age = 5x – 5. (3x – 5) / (5x – 5) = 4 / 7. Solving, we get x = 10. Therefore, A’s age = 30 years and B’s age = 50 years.
Here are some proven strategies to boost your performance in the Deloitte Aptitude Test:
Consistent practice is key. Regularly solve aptitude questions to familiarize yourself with the test pattern.
Since the test has a time limit of 35 minutes, make sure you practice under timed conditions to improve your speed and accuracy.
Identify your weak areas and dedicate extra time to practicing those topics. Use mock tests to gauge your progress.
Don’t panic if you encounter difficult questions. Skip challenging ones and return to them if time allows.
The Deloitte Aptitude Test is an excellent opportunity to demonstrate your quantitative and logical reasoning skills. By understanding the test pattern, mastering the syllabus, and practicing with real exam questions, you’ll be well-prepared to ace the test.