Aptitude Test Preparation: Practice with Sample Questions and Answers

Prepare for your aptitude test with this collection of sample questions and answers. This resource covers various mathematical and logical reasoning topics, including speed and distance problems, ratio and proportion, and number systems. Practice these examples to boost your aptitude test score.

Aptitude and Reasoning Interview Questions

Aptitude Questions

Aptitude Questions (Examples)

Question 15: Boat Problem

A boat takes 90 minutes less to travel 36 miles downstream than upstream. If the boat's speed in still water is 10 mph, what's the stream's speed?

Let x be the speed of the stream.
Downstream speed: 10 + x
Upstream speed: 10 - x
Time downstream: 36 / (10 + x)
Time upstream: 36 / (10 - x)
36/(10 + x) + 90/60 = 36/(10 - x)
Solving this equation for x (using a calculator or software): x = 2 mph

2 mph

Question 16: Train Problem

Two trains cross a stationary man in 27 seconds and 17 seconds, and they cross each other in 23 seconds. Find the ratio of their speeds.

This problem needs clarification or assumptions about train lengths. Let's assume that trains have the same length (L).
Speed 1: L/27
Speed 2: L/17
(L/27 + L/17) * 23 = 2L
Solving for the ratio of speeds v1/v2 = 17/27

17/27

Question 17: Number Problem

(112 * 5^4) =?

112 * 5^4 = 112 * 625 = 70000

70000

Question 18: Number Problem

1396 * 1396 =?

1396 * 1396 = 1951606

1951606

Question 19: Unit Digit

What's the unit digit in {(6374)^1793 * (625)^317 * (341)^491}?

Unit digit of 4^1793 = 4
Unit digit of 5^317 = 5
Unit digit of 1^491 = 1
Unit digit of (4 * 5 * 1) = 0

0

Question 20: Number Problem

What's the smallest number to add to 1056 to make it divisible by 23?

1056 divided by 23 has a remainder of 2.  So, adding 2 will make it divisible by 23.

2

Question 21: Number Problem

A number's fifth part increased by 5 equals its fourth part decreased by 5. Find the number.

x/5 + 5 = x/4 - 5
20x + 100 = 20x - 100
x = 200

200

Question 22: Age Problem

Krishna will be 5 times his age 5 years ago in 15 years. What’s his current age?

x + 15 = 5(x - 5)
x + 15 = 5x - 25
4x = 40
x = 10

10 years

Question 23: Profit and Loss

A bag is sold at Rs. 540 with a 10% loss. What selling price would yield a 20% profit?

Cost price = 540 / 0.9 = 600
Selling price for 20% profit = 600 * 1.2 = 720

Rs. 720

Question 24: Profit and Loss

A shoe sold for Rs. 330 with a 10% profit. If sold for Rs. 275, what's the profit/loss percentage?

Cost price = 330 / 1.1 = 300
Loss = 300 - 275 = 25
Loss percentage = (25 / 300) * 100% = 8.33%

Approximately 8.33% loss

Question 25: Ratio and Proportion

Find (x² + y²) / (x² - y²) if x:y = 6:5.

(x² + y²) / (x² - y²) = ((6² + 5²) / (6² - 5²)) = (36 + 25) / (36 - 25) = 61/11

61/11

Question 26: Number Problem

Solve for x: x² / (1 + 1/(1 + x/(1-x))) = 1

x² / (1 + 1/(1 + x/(1 - x))) = 1
x² = 2 - x
x = 2/3

2/3

Question 27: Age Problem

A is 2 years older than B, who is twice as old as C. Their total age is 27. How old is B?

Let C's age be x.
B's age: 2x
A's age: 2x + 2
x + 2x + 2x + 2 = 27
5x = 25
x = 5
B's age: 10

10 years

Question 28: Time Problem

A travels south at 20 kmph and B travels north at 40 kmph. A turns south at 12 pm, B at 11 am. Find distance between them at 2 pm.

Clarification needed on the starting point to calculate distance accurately.

Question 29: Ratio and Proportion

If A:B = 2:3, B:C = 3:4, then A:B:C is?

A:B = 2:3
B:C = 3:4
Make B's ratio equal: A:B = 6:9, B:C = 9:12
A:B:C = 6:9:12 (or simplified 2:3:4)

2:3:4

Question 30: Compound Interest

A sum of money doubles in 15 years. In how many years will it become eight times itself at compound interest?

This problem requires knowing the interest rate to determine the exact time.

Question 15: Boat Problem

A boat takes 90 minutes less to travel 36 miles downstream than upstream. If the boat's speed in still water is 10 mph, what's the stream's speed?

Let x be the speed of the stream (in mph).
Downstream speed: 10 + x
Upstream speed: 10 - x
Time downstream: 36 / (10 + x) hours
Time upstream: 36 / (10 - x) hours
Equation: 36 / (10 - x) - 36 / (10 + x) = 1.5 hours
Solving for x: x = 2 mph

2 mph

Question 16: Number Problem

A two-digit number and its reverse differ by 36. What's the difference between the sum and difference of the digits if the digit ratio is 1:2?

Let digits be x and 2x.
(20x + x) - (10x + 2x) = 36
9x = 36
x = 4
Digits: 8 and 4
Sum: 12
Difference: 4
Difference between sum and difference: 12 - 4 = 8

8

Question 17: Number Problem

(112 * 5^4) =?

112 * 5^4 = 112 * 625 = 70000

70000

Question 18: Number Problem

1396 * 1396 =?

1396 * 1396 = 1951606

1951606

Question 19: Unit Digit

Find the unit digit in {(6374)^1793 * (625)^317 * (341)^491}.

The unit digit of 4 raised to any power follows a pattern (4, 6, 4, 6...).
The unit digit of 5 raised to any power is always 5.
The unit digit of 1 raised to any power is always 1.
Therefore, the unit digit of the expression is the unit digit of (4 * 5 * 1) = 0.

0

Question 20: Number Problem

What smallest number must be added to 1056 to make it divisible by 23?

1056 divided by 23 has a remainder of 2.  Adding 2 makes it divisible by 23.

2

Question 21: Boat Problem

A boat travels at 13 km/hr in still water. If the stream speed is 4 km/hr, how much time is taken to travel 68km downstream?

Downstream speed = boat speed + stream speed = 13 + 4 = 17 km/hr
Time = Distance / Speed = 68 km / 17 km/hr = 4 hours

4 hours

Question 22: Age Problem

A's age is 6 years more than B's age, whose age is twice C's age. The sum of their ages is 27 years. How old is B?

Let C's age = x
B's age = 2x
A's age = 2x + 6
x + 2x + 2x + 6 = 27
5x = 21
x = 4.2
B's age = 2 * 4.2 = 8.4 years

8.4 years

Question 23: Profit and Loss

A man sells a cow for Rs.3600, making a profit of 20%. What's the cost price?

Selling Price (SP) = 3600
Profit percentage = 20%
Cost Price (CP) = SP / (1 + profit percentage) = 3600 / 1.2 = 3000

Rs. 3000

Question 24: Ratio and Proportion

Divide 1080 among A, B, C in the ratio 4:5:9

Total ratio parts = 4 + 5 + 9 = 18
A's share = (4/18) * 1080 = 240
B's share = (5/18) * 1080 = 300
C's share = (9/18) * 1080 = 540

A: 240, B: 300, C: 540

Question 25: True Discount

The true discount on Rs. 2562 due 4 months hence is Rs. 122. Find the rate percent.

Present Worth (PW) = 2562 - 122 = 2440
Simple Interest (SI) = 122
SI = (PW * R * T)/100
122 = (2440 * R * (4/12))/100
R = 15%

15%

Question 26: Percentage Problem

A fruit vendor sells 40% of his apples and has 420 left. How many did he have initially?

Let x be the initial number of apples.
60% of x = 420
0.6x = 420
x = 700

700 apples

Question 27: Boat Problem

A boat's speed in still water is 9 kmph, and the stream speed is 1.5 kmph. What total time is taken to travel 105 km and return?

Downstream speed: 9 + 1.5 = 10.5 kmph
Upstream speed: 9 - 1.5 = 7.5 kmph
Time downstream: 105 / 10.5 = 10 hours
Time upstream: 105 / 7.5 = 14 hours
Total time: 24 hours

24 hours

Aptitude Questions

Aptitude Questions (Examples)

Question 15: Boat Problem

A boat travels 36 miles downstream in 90 minutes less time than upstream. The boat speed in still water is 10 mph. Find the stream's speed.

Let x = speed of stream.
Downstream speed: 10 + x
Upstream speed: 10 - x
Time downstream: 36 / (10 + x) hours
Time upstream: 36 / (10 - x) hours
Equation: 36/(10 - x) - 36/(10 + x) = 1.5 hours
Solving this equation (using a calculator or software): x = 2 mph

2 mph

Question 16: Train Problem

Two trains pass a man in 27 seconds and 17 seconds respectively. They cross each other in 23 seconds. Find the ratio of their speeds (assuming equal length trains).

Let speeds be v1 and v2, and length be L.
v1 = L/27
v2 = L/17
(v1 + v2) * 23 = 2L
Solving (assuming equal lengths): v1/v2 = 17/27

17:27

Question 17: Number Problem

The difference between a two-digit number and the number obtained by reversing its digits is 36. What's the difference between the sum and the difference of the digits if the ratio of the digits is 1:2?

Let the digits be x and 2x.
(20x + x) - (10x + 2x) = 36
9x = 36
x = 4
Digits: 8 and 4
Sum: 12
Difference: 4
Difference between sum and difference: 12 - 4 = 8

8

Question 18: Age Problem

A is two years older than B, who is twice as old as C. The sum of their ages is 27. Find B's age.

Let C's age be x.
B's age = 2x
A's age = 2x + 2
x + 2x + 2x + 2 = 27
5x = 25
x = 5
B's age = 10

10

Question 19: Percentage Loss

A 30% loss on the cost price is what percentage loss on the selling price?

Let cost price (CP) = 100
Loss = 30%
Selling Price (SP) = 100 - 30 = 70
Loss on SP = (30/70) * 100% ≈ 42.86%

Approximately 42.86%

Question 20: Taxi Fare

A, B, and C share a taxi for Rs. 2400. They used it for 6, 8, and 10 hours respectively. How much did C pay?

Total hours: 6 + 8 + 10 = 24
C's share: (10/24) * 2400 = 1000

Rs. 1000

Question 21: Boat Problem

A boat travels 30 km downstream and 18 km upstream in 5 hours each. Find the stream's speed.

Requires additional information (boat speed).

Question 22: Ratio and Proportion

A sum of money is divided among A, B, C, D in the ratio 5:2:4:3. If C gets Rs. 1000 more than D, what is B’s share?

C:D = 4:3
Let C's share be 4x, D's share is 3x
4x - 3x = 1000
x = 1000
B's share = 2x = 2000

Rs. 2000

Question 23: Number Series

Find the missing number: 3, 5, 11, 14, 17, 21, ...

The pattern is not entirely clear.  One possibility is alternating additions of 2 and 6. 
3 + 2 = 5
5 + 6 = 11
11 + 3 = 14
14 + 3 = 17
17 + 4 = 21
21 + 5 =26

26

Question 24: Number Series

Find the next number: 16, 33, 65, 131, 261, ...

The pattern is roughly double the previous number, adding or subtracting 1.
16 * 2 + 1 = 33
33 * 2 - 1 = 65
65 * 2 + 1 = 131
131 * 2 - 1 = 261
261 * 2 + 1 = 523

523

Question 25: Percentage Problem

A vendor sells 40% of his apples and has 420 left. How many did he start with?

Let x be the initial number of apples.
60% of x = 420
0.6x = 420
x = 700

700

Question 26: Age Problem

Padmini is 40, Krishna is 60. How many years ago was their age ratio 3:5?

(40 - x) / (60 - x) = 3/5
200 - 5x = 180 - 3x
2x = 20
x = 10

10 years ago

Question 27: Time Problem

A boat travels at 13 kmph in still water; the stream speed is 4 kmph. How much time is taken to travel 68 km downstream?

Downstream speed: 13 + 4 = 17 kmph
Time = Distance / Speed = 68 km / 17 kmph = 4 hours

4 hours

Personal Introduction

Question 1: Tell Me About Yourself

This question allows you to make a strong first impression. Provide a concise summary of your background, education, skills, and career goals, highlighting aspects relevant to the job you're applying for. Aim for a response of about one minute. Be confident, concise, and enthusiastic.

"I'm [Your Name], a [Your Profession] with [Number] years of experience in [Your Field]. I have a strong background in [Relevant Skills], and I'm eager to contribute my expertise to a challenging and rewarding role. My career goal is to [Your Career Goal]."

Reasons for Seeking Employment

Question 2: Why Should We Hire You?

This is your opportunity to highlight what makes you a strong candidate. Focus on your skills, experience, and qualifications. Explain how you meet the company's needs and demonstrate your value proposition.

"I'm a highly motivated and results-oriented professional with a proven track record of success.  My skills in [Relevant Skill 1] and [Relevant Skill 2], combined with my strong work ethic, make me a valuable asset. I'm confident I can make a significant contribution to your team."

Reasons for Leaving Previous Employment

Question 3: Why Did You Leave Your Previous Job?

Address this question honestly and positively, focusing on growth opportunities and career progression. Avoid criticizing previous employers. Frame your response in terms of wanting new challenges and opportunities for advancement.

"I'm seeking a new opportunity that offers greater challenges and the chance to expand my skills in [Specific Area]. While I valued my previous experience, I'm now looking for a role with more responsibility and opportunities for professional growth."

Company Knowledge and Suitability

Question 4: Why This Company?

Demonstrate your research and understanding of the company's mission, values, and culture. Explain why you believe this company aligns with your career goals and how you can contribute to their success.

"I'm drawn to [Company Name]'s commitment to [Company Value] and its innovative work in [Industry]. I believe my skills and experience in [Relevant Area] align with your company's goals, and I'm confident I can make a significant contribution."

Adaptability to New Technologies

Question 5: Adaptability to New Technology

Highlight your willingness to learn and your ability to quickly adapt to new technologies. Provide specific examples of how you've adapted to new technologies in the past. Emphasize your continuous learning approach and your proactive nature.

"I am a quick learner and highly adaptable to new technologies.  In my previous role, I quickly mastered [New Technology] and integrated it effectively into our workflow, resulting in [Positive Outcome]."

Software Packages

Question 5: Software Packages

(List the software packages you are proficient in. Tailor this list to the job description.)

Salary Expectations

Question 6: Salary Expectations

Provide a salary range based on your research of industry standards. Don't state a specific number unless prompted. Emphasize your interest in the role and the opportunity over salary.

Inspirational Figures

Question 7: Inspirational Figures

Share a brief story about a person who has inspired you. Focus on the specific qualities you admire and how they've influenced you.

"My father has been a major influence.  His dedication and resilience in overcoming challenges have inspired me to pursue my goals with determination and perseverance."

Self-Assessment

Question 8: Rate Yourself (1-10)

Be honest, highlighting your strengths while acknowledging areas for growth. Avoid being overly self-critical.

"I would rate myself an 8 out of 10. I'm confident in my abilities, but I always look for ways to improve and expand my skills."

Career Goals

Question 9: Short-Term and Long-Term Goals

Outline your career goals, showing ambition and a clear plan for professional development. Demonstrate how the position aligns with your goals.

"My short-term goal is to make a significant contribution to this team. My long-term goals involve becoming a leader in my field and mentoring other team members."

Anger Management

Question 10: What Makes You Angry?

Describe how you handle anger professionally. Focus on your ability to resolve conflict constructively.

"I try to remain calm and address issues rationally.  I focus on finding solutions rather than letting frustration negatively impact my work."