Aptitude Questions for Interviews (Intermediate Level)

It is time to increase the level! Let us look at some intermediate-level aptitude questions for the interview.

Q11. A train traveling from Station A to Station B takes 6 hours to cover the distance at a constant speed. If the speed of the train were increased by 20 km/h, it would take 4.5 hours to cover the same distance. What is the distance between Station A and Station B?

Let's denote the distance between Station A and Station B by "d" and the original speed of the train by "s". Using the formula 

distance = speed  *  time, 

we can write:

d = s * 6 (since it takes 6 hours to cover the distance at speed s) 

d = (s + 20) * 4.5 (since it takes 4.5 hours to cover the same distance at speed s + 20)

Simplifying these equations, we get s=6, and solving for "d", we get:

d = 360 km

Q12. A is twice as old as B. If their ages are 100 years, find the ages of A and B.

Let's assume the age of B is x years. Then the age of A is 2x years. The sum of their ages is x + 2x = 100 years. So, the total of their ages is 3x = 100 years. Therefore, x = 100/3 = 33.33 years. So, the age of B is x = 33.33 years, and the age of A is 2x = 2 * 33.33 = 66.66 years.

Q13. A ladder leaning against a wall makes an angle of 70° with the ground. If the foot of the ladder is 4 meters away from the wall, what is the height of the ladder?

Let's assume the height of the ladder is h meters.We know that: 

tan(θ) = height/base

Hence, we can write an equation: tan 70° = h/4. Solving this equation, we get 

Therefore, the height of the ladder is 10.98 meters.

Q14. An investor bought 100 shares at $50 per share. If the stock price increases to $60, what is the profit or loss made by the investor? 

The investor's profit or loss is calculated by subtracting the selling price from the cost price. The price for 100 shares is $50 * 100 = $5000. The selling price for 100 shares is $60 * 100 = $6000. So, the profit made by the investor is $6000 - $5000 = $1000.

Q15. If log(a) + log(b) = log(ab), then find the value of (log(a^2) + log(b^2))/2.

Q16. What is the probability of drawing a red card in a deck of cards? 

There are 26 red cards in a deck of 52 cards. So, the probability of drawing a red card is 26/52 = 1/2. 

This could also be said that the probability of drawing a red card in a deck of cards is 50%.

Q17. How many ways can a president, a vice-president, a secretary, and a treasurer be selected from a group of 10 people if the same person holds no two offices?

First, we can choose the president from 10 people in 10 ways. Then, we can select the vice president from the remaining 9 people in 9 ways. After that, we can choose the secretary from the remaining 8 people in 8 ways. Finally, we can choose the treasurer from the 7 people in 7 ways. 

So, the number of ways to choose a president, a vice-president, a secretary, and a treasurer is  10 * 9 * 8 * 7 = 5040.

Q18. If A can complete a job in 10 days and B can complete the same job in 12 days, how long will it take to complete the job if they work together? 

A and B combined work in one day is 1/10 + 1/12 = 11/60. So, they will complete the job in 60 / 11 =  approx 5 days. 

Q19. A man rows his boat at a speed of 6 km/hr in still water. How long will it take him to row to a certain place and back if the total journey is 60 km and the speed of the stream is 2 km/hr?

The man rows at a speed of 6 km/hr in still water, but the stream is flowing in the opposite direction at 2 km/hr, so the effective speed is 6 - 2 = 4 km/hr. So, the time to row 60 km is 60 / 4 = 15 hours. 

So, the total time taken for the round trip is 15 * 2 = 30 hours.

Q20. Complete the series: 2, 6, 14, 30, __.

The series is a geometric series with a common ratio of (n*2) + 2, where n is the number. 

Let us see how the series is formed. 

For n = 2 the next number will be (2 * 2) + 2  =  6

For n = 6 the next number will be (6 * 2) + 2  =  14

For n = 14 the next number will be (14 * 2) + 2  =  30

So, the next number in the series will be 30 * 2+2  =  60 +2 = 62

Aptitude Questions for Interviews (Experience)

Good going, Ninja! Time to enter the final battle. Let us now solve some hard aptitude questions for interview and master aptitude solving. 

Q21. A train is traveling at 90 km/hr, crossing a pole in 6 seconds. What is the length of the train?

Let's assume the length of the train is L meters. We must first convert km/hr to m/s since our time is in seconds. so speed in m/s after calculating 90 * 5/18= 25 m/s.  Hence, the length of the train is L = s* t. = 25*6= 150 meters. 

Q22. A is three times as old as B. Two years ago, when A was 5 times as old as B is now. Find the present ages of A and B. 

Let's assume that B's present age is x years. Then A's present age will be 3x years. After three years, the age of A  will be A-2 = 5(B-2). Now after calculating the above equation A-2 = 5(B-2) and putting the values of A as 3x and B as x years  3x-2 = 5(x-2)   we get the following age of B as 4 years. 

The age of A is 3x, i.e., 3*4 = 12 years. 

Q23. Two poles, A and B, of the same height, stand on level ground. The angles of elevation from point C, on the ground and in line with the two poles, to the tops of poles A and B, are 30° and 60°, respectively. If the distance between the poles is 200 meters, find the height of the poles.

Let's assume the height of the poles is h meters. Using trigonometry, we can write two equations: 

tan 30° = h/x

tan 60° = h/(x - 200)

(tan(θ) = height/base).

Solving these equations, we get 

Equating the values of x from both equations, we get: 

Dividing both sides by h, we get 1/tan 30° = 1/tan 60° + 200/(h). we can simplify the equation as 1/(1/√3) = 1/(√3) + 200/(h). Solving this equation, we get h = 100 * √3 = 173.20 meters. 

Therefore, the height of the poles is 173.20 meters.

Q24. An investor bought 200 shares at $40 per share. If the stock price increases to $60, what is the percentage increase in the value of the investment? 

The percentage increase in the value of the investment is calculated by dividing the increase in value by the cost price and multiplying the result by 100.

The price for 200 shares is $40 * 200 = $8000. The selling price for 200 shares is $60 * 200 = $12000. 

So, the increase in value is $12000 - $8000 = $4000. The percentage increase in value is ($4000/$8000) * 100 = 50%.

Q25. If log(b) = 2 and log(c) = 3, then find the value of log(b^2c^3).

= 2 * 2 + 3 * 3 = 13.

Q26. A box contains 4 red and 6 green balls. Two balls are drawn at random without replacement. What is the probability that both balls are red? 

The number of ways to choose two red balls from 4 red balls is 4C2 = 6. The total number of ways to choose two balls from 4 red and 6 green balls is 10C2 = 45. 

Here C(10,6) means the number of combinations of 6 items from a group of 10 items.

So, the probability that both balls are red is 6/45  = 0.1333.

Q27. A committee of 5 people will be formed from 8 men and 7 women. How many ways can the committee be formed if it consists of exactly 2 men and 3 women?

The number of ways to choose 2 men from a group of 8 men is C(8, 2) = 28. The number of ways to choose 3 women from a group of 7 women is C(7, 3) = 70. Hence, the number of ways to form the committee is 28 * 70 = 1960.

Q28. A and B can work in 10 days and 15 days, respectively. They start work together, but A leaves after 2 days. How many more days will B take to complete the remaining work?

Step 1: Work done by A in 2 days

A completes 1/10 of the work in one day.

In 2 days, A completes:

So, after 2 days, 1/5 of the work is completed.

Step 2: Remaining work

Total work = 1

Work done by A = 1/5

Remaining work:

Step 3: Time taken by B to complete the remaining work

B completes 1/15 of the work in one day.

Time required to complete 4/5 of the work:

Final Answer:

B will take 12 more days to complete the remaining work

Q29. A man rows his boat upstream to a certain place at a speed of 12 km/hr and returns to the starting point downstream at 20 km/hr. Find the average speed for the whole journey.

Given:

The boat's speed upstream = 12 km/hr

The boat's speed downstream = 20 km/hr

The total distance (both upstream and downstream) = d km

Step 1: Find the time taken for each part of the journey

Time taken for the upstream journey =

Time taken for the downstream journey =

Step 2: Find the total time taken

Finding a common denominator (LCM of 12 and 20 = 60),

Adding both fractions:

Step 3: Find the average speed

The formula for average speed is:

Dividing by a fraction:

The average speed for the whole journey is 7.5 km/hr.

Q30. What is the compound interest on Rs. 12000 for 2 years at 8% p.a. compounded semi-annually? 

The compound interest can be calculated using the formula: CI = P * (1 + r/100)^(n*t) - P, where P is the principal, r is the rate, n is the number of times the interest is compounded in a year, and t is the time in years. 

So, CI = 12000 * (1 + ((8/2)/100)^(2*2) - 12000 = 12000 * 1.16 - 12000 = 1920.

Tips For Preparing For An Aptitude Interview Test

• Practice: The more you practice, the more familiar you will be with the types of questions presented on an aptitude exam. There are numerous internet resources that provide practice tests and questions
   
• Time management: As aptitude exams can often be timed, you must manage your time wisely. Practice answering questions quickly and precisely to improve your speed and accuracy
   
• Review fundamental concepts: Aptitude examinations frequently include fundamental math concepts such as percentages, ratios, and fractions. When answering numerical questions, reviewing these principles can help you feel more assured
   
• Read the instructions carefully: Before beginning the test, carefully read the instructions. This will assist you in comprehending the format of the test and what is required of you
   
• Eliminate wrong answers: If you're not sure about an answer, try to eliminate any obvious incorrect options first. This increases your chances of getting the correct answer and saves you time
   
• Stay cool: Although aptitude tests might be stressful, it is important to remain calm and focused. Take deep breaths, be optimistic, and do your best

Frequently Asked Questions

What are the basic aptitude questions for the interview?

Aptitude questions for interviews mainly assess a candidate’s logical reasoning, verbal skills and problem-solving abilities. They may ask questions on patterns, series, data interpretation, percentages, ratios, and basic arithmetic.

What is basic aptitude in QA?

A QA aptitude test is an excellent pre-employment assessment tool for recruiters and hiring managers to evaluate the aptitude skills required for quality assurance or software testing job roles. This test evaluates verbal reasoning, numerical reasoning, logical reasoning, and analytical thinking skills.

What is the most common aptitude?

Individual aptitude varies, but numerical aptitude, which involves mathematical and quantitative reasoning, is routinely tested in aptitude tests and is required for many occupations, including finance, engineering, and science.

How to crack aptitude in an interview?

To crack aptitude, start by understanding the specific aptitude areas, familiarize yourself with different types of questions, and work on improving your verbal, logical, and reasoning skills. By doing these, you can easily crack aptitude in the interview.

Conclusion

Many firms now use aptitude tests as part of the recruitment process. They are intended to evaluate a candidate's cognitive talents, problem-solving abilities, and overall suitability for a specific profession. A strong result in aptitude exams might increase your chances of landing your ideal job significantly. In the above article, we have discussed some very important top aptitude questions and answers for the interview. We now understand the importance of aptitude tests in cracking our dream company. You can also consider our Aptitude Course to give your career an edge over others.