Aptitude Questions with Answers: Placement Test | Competitive Exams
Aptitude tests play a crucial role in campus placement, government job, and competitive exams for higher education. Explore thousands of aptitude questions with detailed solutions by clicking on respective topic link. We have also marked most important topics for various exams (marked as “Y”).
Quantitative Aptitude Questions (Numerical Ability/ Maths)
The Quantitative Aptitude section is one of the most crucial components of competitive exams. It demands significant effort and practice from students to master the concepts and problem-solving techniques.
Click on the Topic link for respective aptitude questions:
| Sr No | Topic wise Aptitude Questions | Placement | GATE | SSC CGL | Bank PO | CAT |
|---|---|---|---|---|---|---|
| 1 | Percentages | Y | Y | Y | Y | Y |
| 2 | Ratio & Proportion | Y | Y | Y | Y | Y |
| 3 | Profit, Loss and Partnership | Y | Y | Y | Y | |
| 4 | Averages, Mixture and Alligations | Y | Y | Y | Y | |
| 5 | Time and Work | Y | Y | Y | Y | |
| 6 | Time, Speed and Distance | Y | Y | Y | Y | |
| 7 | Simple and Compound Interest | Y | Y | Y | Y | |
| 8 | Number System | Y | Y | Y | Y | |
| 9 | Algebra | Y | Y | Y | Y | |
| 10 | Permutation combination | Y | Y | Y | Y | Y |
| 11 | Probability | Y | Y | Y | Y | Y |
| 12 | Mensuration | Y | Y | Y | Y | |
| 13 | Geometry | Y | Y | Y | ||
| 14 | Data Interpretation | Y | Y | Y | ||
| 15 | Statistics | Y |
Logical Reasoning Questions (General Intelligence)
The Logical Reasoning section tests your ability to think critically and analyze problems systematically. It plays a vital role in evaluating your decision-making and reasoning capabilities, making it a key component of most competitive exams. Let’s explore the questions and sharpen your logical thinking skills!
| Sr No | Topic wise Reasoning Questions | Placement | GATE | SSC CGL | Bank PO | CAT |
|---|---|---|---|---|---|---|
| 1 | AlphaNumeric Series | Y | Y | Y | Y | |
| 2 | Blood Relations | Y | Y | Y | ||
| 3 | Coding Decoding | Y | Y | Y | ||
| 4 | Data Sufficiency | Y | Y | |||
| 5 | Direction Sense | Y | ||||
| 6 | Statement & Conclusion | Y | Y | Y | ||
| 7 | Seating Arrangements | Y | Y | Y | ||
| 8 | Calendar and Clocks | Y | Y | |||
| 9 | Decision Making | |||||
| 10 | Visual Reasoning | Y | Y | |||
| 11 | Puzzles | Y | Y | |||
| 1-8 | 8 Important Topics | 4h | 10h |
Verbal Ability Questions (English/ Comprehension)
The Verbal Ability section assesses your command over the English language, including grammar, vocabulary, and comprehension. Excelling in this section can significantly boost your overall score and communication skills. Dive into the questions and enhance your verbal prowess!
| Sr. No. | Topic wise Verbal Questions | Placement | GATE | SSC CGL | Bank PO | CAT |
|---|---|---|---|---|---|---|
| 1 | Synonym Antonym | Y | Y | |||
| 2 | Fill in the blanks | Y | Y | Y | Y | Y |
| 3 | Find error | Y | Y | Y | Y | |
| 4 | Verbal analogies | Y | Y | Y | Y | |
| 5 | Sentence correction | Y | Y | Y | Y | |
| 6 | Reading Comprehension | Y | Y | Y | Y | Y |
| 7 | Parajumbles | Y | Y | |||
| 8 | Meanings | Y | ||||
| 9 | Cloze test | Y | Y | |||
| 10 | Idiom Phrases | Y | Y | |||
| 11 | Critical Reasoning | |||||
| 1-6 | 6 Important Topics |
Important Aptitude questions with Answers across Topics
Quantitative Aptitude
1. Percentages
A small town named Meadowville experiences notable changes in its population over three years. In the first year, the population grows by 10%, but in the second year, it shrinks by 5%. By the third year, the town sees a significant recovery with a 15% increase. Considering all these fluctuations, what is the total percentage change in Meadowville’s population after these three years?
A) 21.5%
B) 19.3%
C) 20%
D) 23%
Check Solution
Ans: C) 20%
Let the initial population be 100.
After 1st year: $100 \times 1.10 = 110$.
After 2nd year: $110 \times 0.95 = 104.5$.
After 3rd year: $104.5 \times 1.15 = 120.175$.
Percentage change = $\frac{120.175 – 100}{100} \times 100 = 20.175\%$.
2. Ratio and Proportion
Two friends, A and B, have their ages in the ratio 5:7. Fast forward six years, and their ages will be in the ratio 3:4. Can you figure out A’s current age?
A) 30 years
B) 24 years
C) 20 years
D) 18 years
Check Solution
Ans: A) 30 years.
Let the current ages of A and B be 5x and 7x respectively.
After 6 years,$\frac{5x + 6}{7x + 6} = \frac{3}{4}$.
Cross-multiplying, 4(5x+6)=3(7x+6).
$20x + 24 = 21x + 18 \Rightarrow x = 6$.
So, A’s age = $5 \times 6 = 30$.
3. Profit and Loss
At Gada electronics, Jethalal decides marks up his electronic goods 50% on cost price to make good profit. To further entice customers, he offers subsequent discounts of 10% + 10% on the marked price. What is the profit percentage Jethalal ultimately earns from his sales?
A) 20%
B) 21.5%
C) 25%
D) 30%
Check Solution
Ans: B) 21.5%
Let the cost price (CP) be ₹100.
Marked price (MP) = 100 + 50% of 100 = ₹150.
Selling price (SP) = MP * 0.9 * 0.9 = 121.5
Profit % = [(SP – CP) / CP] × 100 = [(121.5 – 100) / 100] × 100 = 21.5%.
4. Averages, Mixture and Alligations
An artisan dairy farmer has a special 20-liter blend of milk and water mixed in a 14:6 ratio. One day, the farmer decides to experiment: they remove some of the mixture and replace it with water, which reduces the milk concentration by 10%. How many liters of water did they actually add?
A) 1
B) 1.4
C) 2
D) 2.8
Check Solution
Ans: C
The total volume of the mixture is 20 liters, with a milk-to-water ratio of 14:6.
Milk volume=14, Water volume = 6
Let x liters of the mixture be removed and replaced with water. The milk concentration decreases by 10%, so the new milk concentration is 90% of the original.
Initial milk concentration = 70% (14 out of 20)
New milk concentration: 70% * 0.9 = 63%
New total milk content = 0.63×20 = 12.6 litres
Let’s say x litre mixture was removed and same amount of of water was added
Milk removed = 0.7 x (since milk was only 70% of the mixture)
14 – 0.7x = 12.6
x = 2
5. Time and Work
A contractor has a challenging project to complete within a strict deadline of 20 days. To tackle this, they initially hire 45 workers. After 10 days of diligent labor, they discover that only 60% of the work has been finished. With time running out, the contractor needs to decide how many additional workers to bring in to ensure the project is completed on time. Please calculate the number of workers required to meet the deadline?
A) 10
B) 15
C) 20
D) 25
Check Solution
Ans: (B) 15
Total work rate for 45 workers = $( \frac{60\%}{10} = 6\% )$ per day. Remaining work = $( 40\% )$ in 10 days, so required rate = $( 4\% )$ per day. New number of workers = $( \frac{4\%}{6\%} \times 45 = 30 )$. Additional workers needed = $( 30 – 45 = 15 )$.
6. Speed, Distance and Time
Imagine you’re planning a road trip between two beautiful cities, City A and City B. On the way there, your car cruises smoothly at 60 km/h, enjoying the scenic views. However, on the return trip, with lighter traffic, you manage to speed up to 90 km/h. Over the entire journey, what would be the car’s average speed?
A) 70 km/h
B) 72 km/h
C) 75 km/h
D) 78 km/h
Check Solution
Ans: B) 72 km/h
Average speed for a round trip = $\frac{2 \times \text{Speed}_1 \times \text{Speed}_2}{\text{Speed}_1 + \text{Speed}_2}$
= $\frac{2 \times 60 \times 90}{60 + 90} = \frac{10800}{150} = 72$ km/h.
7. Simple and Compound Interest
Brittany borrows $1,000 from the bank at an interest rate of 10% per month, compounded monthly. As per the loan agreement, she must repay the loan in three equal installments over three months. What is the approximate amount of each installment Brittany needs to pay, rounded to the nearest dollar?
A) 333
B) 383
C) 402
D) 433
Check Solution
Ans: C
Let the monthly payment be $x$.
After the 1st month there will be $1,000*1.1-x$ dollars left to repay;
After the 2nd month there will be $(1,000*1.1-x)*1.1-x=1,210-2.1x$ dollars left to repay;
After the 3rd month there should be 0 dollars left to repay: $(1,210-2.1x)*1.1-x=0$:
8. Number System
Distinct positive integers p and q have a remainder of 2 when divided by 9. What is the remainder when 3 digit number placed as pq5 is divided by 9?
A) 2
B) 5
C) 4
D) 0
Check Solution
Ans: D) 0
pq3 = 100*p + 10*q + 5
Now p = 9m + 2; q = 9n + 2
pq3 = 100*(9m + 2) + 10*(9n + 2) + 5 = 900m + 90n + 200 + 20 + 5 = 900m + 90n + 225
we just need to check what remainder comes when divided by 9 since first part is already divisible by 9, that gives us remainder 0.
9. Algebra
If $( x + \frac{1}{x} = 9 )$, what is the value of $( x^2 + \frac{1}{x^2} )$?
A) 81
B) 90
C) 79
D) 72
Check Solution
Ans: C) 79
We know that $( x + \frac{1}{x} = 9 )$
Squaring both sides:
$[x^2 + 2 + \frac{1}{x^2} = 81]$
$[x^2 + \frac{1}{x^2} = 79]$
10. Permutation Combination
You have 4 actors and 4 cricketers waiting to be seated in a row for an award function. However, there’s a catch: no two actors are allowed to sit together. How many different ways can they be seated while maintaining this arrangement rule?
A) 576
B) 2880
C) 3456
D) 1728
Check Solution
Ans: B) 2880
Arrange 4 cricketers in 4! ways. This creates 5 gaps for the actors to fit in. We choose 4 of these 5 gaps for the actors in $\binom{5}{4}$ ways and arrange them in 4! ways.
$4! \times \binom{5}{4} \times 4! = 24 \times 5 \times 24 = 2880$
11. Probability
Inside a bag, there are 7 chocolates, 4 cupcakes, and 2 candies. If you were to reach into the bag, eyes closed, and pick just one item, what is the chance that you grab either a cupcake or a chocolate?
A) $( \frac{5}{12} ) $
B) $( \frac{11}{13} ) $
C) $( \frac{3}{4} ) $
D) $( \frac{9}{13} )$
Check Solution
Ans: B
Total items = ( 7 + 4 + 2 = 13 ).
Favourable outcomes (chocolate or cupcake) = ( 7 + 4 =11 ).
Probability = $( \frac{11}{13}$.
12. Geometry
In which of the following triangle, the centroid divides median in the ratio 2 : 1
(A) Equilateral
(B) Isosceles
(C) Scalene
(D) All of the above
Check Solution
Ans: D
The centroid divides each median of a triangle in the ratio 2:1, irrespective of the nature of the triangle
13. Mensuration (Area and Volume)
You are a contractor tasked with creating two unique exercise areas in a recreational park. The first area is a square-shaped field, which has been finalized with a side length of 55 meters. The second area is a circular running track that must have the same perimeter as the square field. Determine the radius of this circular track.
A) 50 m
B) 60 m
C) 70 m
D) 80 m
Check Solution
Ans: B) 70 m
Perimeter of square = $4 \times \text{side} = 4 \times 55 = 220$ m.
Perimeter of circle = $2\pi r = 220$
$r = \frac{220}{2\pi} = \frac{220}{2 \times \frac{22}{7}} = 70$ m.
14. Statistics
An engineering college organized quiz competition as part of the tech-fest. The scores of quiz participants were: 5, 4, 1, 8, and 9. Find the median?
A) 5.2
B) 5.4
C) 5
D) 6
Check Solution
Ans: C) 5
Arrange the scores in increasing order and pick the middle quantity for median: 1, 4, 5, 8, 9
15. Data Interpretation
A survey shows the percentage distribution of different modes of transport used by people in a city. If the total population surveyed is 20,000, How many people use the train as their primary mode of transport?
(a) 4000
(b) 5000
(c) 6000
(d) 7000
Check Solution
Ans: (b) 5000
Step 1: Total population = 20,000. Train users = 25%.
$\text{Number of Train Users} = 25\% \times 20000 = 0.25 \times 20000 = 5000$
Logical Reasoning
1. AlphaNumeric Series
Find the next term: CKA2, DlB3, FMC5, InA7, ?
A) MOB11
B) NOB1
C) MPB1
D) POB1
Check Solution
Ans: A
Please observe the first character: Alphabet is increasing sequentially with differences of 1, 2, 3, etc.
Second character: Alternating upper and lower case letters
Third character: Alphabet A, B and C are repeating in a cycleFourth character: Series of Prime numbers
2. Blood Relation
While walking through a park, Seema pointed to a man sitting on a bench and said, “He is the only son of my mother’s mother.” How is the man related to Seema?
A) Father
B) Uncle
C) Brother
D) Cousin
Check Solution
Ans: B) Uncle
Seema’s mother’s mother is her grandmother.
The only son of Seema’s grandmother is Seema’s maternal uncle.
3. Coding Decoding
If TNUUV is coded as 2120201319, then what will be IPHKN coded as?
A) 13107158
B) 81681114
C) 10137168
D) 13107815
Check Solution
Ans: A
There are three operations here:
First: Every alphabet has been swapped around center position
Second: Output is then converted to it’s numerical value as per it’s position in alphabet series
Second: Output is then converted to it’s numerical value as per it’s position in alphabet series.
Third: Every numerical value at it’s position has been decreased by 1
4. Data Sufficiency
Question: In which direction is Point Q from Point P?
Statement 1: Point R is to the east of Point P, and Point Q is to the south of Point R.
Statement 2: Point Q is somewhere near Point P.
A) Statement 1 is sufficient, but Statement 2 is not sufficient
B) Statement 2 is sufficient, but Statement 1 is not sufficient
C) Both statements together are sufficient, but not alone
D) Each statement alone is sufficient
Check Solution
Ans: A
A – Statement 2 alone gives the direction of Q from P.
5. Direction Sense
Raj decided to go on a walk to clear his mind. He started at his house and walked 10 km heading north. Feeling adventurous, he then turned right and walked another 5 km. Not ready to head back, he turned right again and covered 10 km. Finally, he decided to turn left and walked a long stretch of 15 km. Determine in which direction Raj is now from his starting point
(A) East
(B) West
(C) South-East
(D) North-East
Check Solution
Ans: (A) East
From the starting point:
- Moves 10 km north.
- Turns right (towards east) and moves 5 km.
- Turns right (towards south) and moves 10 km.
- Turns left (towards east) and moves 15 km.
The final position is east of the starting point.
6. Statement & Conclusion
Statement: The company decided to open new branches in rural areas.
Conclusions:
The company sees growth opportunities in rural markets.
The company is facing competition in urban markets.
a. Only conclusion I follows.
b. Only conclusion II follows.
c. Both I and II follow.
d. Neither I nor II follows.
Check Solution
Ans: a. Only conclusion I follows.
The decision to expand to rural areas reflects perceived growth opportunities there but does not provide evidence of urban market competition. Only I follows.
7. Syllogism
Statement: Some humans are doctors. No doctor is a robot.
Conclusions:
I. Some humans are not robots.
II. All humans are robots.
A. Only I follows
B. Only II follows
C. Both I and II follow
D. Neither I nor II follows
Check Solution
Ans: A. Only I follows
“Some humans are doctors” and “No doctor is a robot” imply “Some humans are not robots.” Conclusion II is invalid as it contradicts the statements.
8. Seating Arrangement
Bharat, Ragini, Mohit, Anushka, and Udit are seated in a linear arrangement in a classroom. Mohit and Udit are not neighbors. Mohit is not at positions 1 or 5. Bharat is at the extreme left. Ragini is on position 2 from left. Who is on the extreme right?
A) Udit
B) Udit
C) Bharat
D) Ragini
9. Calendar and Clocks
If today is Saturday, then what day would it be after 20 days?
A) Friday
B) Thursday
C) Tuesday
D) Saturday
10. Decision Making
A patient needs an expensive surgery but lacks insurance. The hospital can either provide charity-based assistance or refer the patient to another facility. If the hospital prioritizes patient care, what should it do?
a) Provide charity-based assistance
b) Refer to another facility
c) Deny the treatment
d) Offer a loan
Check Solution
Ans: a) Provide charity-based assistance
Providing charity-based assistance aligns with prioritizing patient care.
11. Puzzles
A man starts with 40 chocolates. Every 4 wrappers can be exchanged for 1 chocolate. What is the maximum number of chocolates he can eat?
A) 43
B) 44
C) 45
D) 50
Check Solution
Ans: C) 45
Calculate wrappers-to-chocolates recursively.
Verbal Ability
1. Synonyms and Antonyms
Find the word which best expresses meaning of the given word: Eager
A) Enthusiastic
B) Indifferent
C) Apathetic
D) Uninterested
Check Solution
Ans: A
Meaning of Eager – Having or showing keen interest or intense desire.
use in a sentence – The students were eager to learn about the new technology.
2. Fill in the blanks
Fill in the blank using right choice from given options:
The jury ___ deliberating for over twelve hours before reaching a verdict.
A) has been
B) have been
C) had been
D) was
Check Solution
Ans: A
nan
3. Find Error
Which part of the given sentence has an error in it
A) Despite
B) the fact he had studied hard
C) he did not do well
D) on the exam.
Check Solution
Ans: B
Correct sentence : Despite the fact that he had studied hard, he did not do well on the exam.
4. Analogy
Find the Odd Pair
A) Angry : Mad
B) Funny : Humorous
C) Friendly : Kind
D) Artist : Easel
Check Solution
Ans: D
Except for the answer, remaining options show “Synonymy” relationship: Both words in the pair have similar meanings
5. Sentence correction
Identify the sentence that is most accurate among the given options
A) The book which is filled with esoteric references appeals mainly to a niche audience.
B) The book, which is filled with esoteric references, appeal mainly to a niche audience.
C) The book that is filled with esoteric references appeals mainly to niche audiences.
D) The book, which is filled with esoteric references, appeals mainly to a niche audience.
Check Solution
Ans: D
nan
6. Reading Comprehension
Technological advancements have made renewable energy sources, such as solar and wind power, more accessible. Governments worldwide are investing in these technologies to reduce dependence on fossil fuels. While challenges like storage and initial costs persist, the long-term benefits include reduced greenhouse gas emissions and energy security.
Which of the following is a challenge associated with renewable energy, according to the passage?
A. Lack of availability
B. High greenhouse gas emissions
C. Storage and initial costs
D. Inefficiency of technology
Check Solution
Ans: C. Storage and initial costs
The passage highlights storage and initial costs as challenges.
The phrase “energy security” in the passage most likely refers to:
A. Ensuring stable and sustainable energy supplies
B. Reducing energy consumption
C. Protecting energy facilities from cyberattacks
D. Minimizing energy costs
Check Solution
Ans: A. Ensuring stable and sustainable energy supplies
“Energy security” typically refers to the availability of stable energy supplies.
7. Para Jumbles
Below are jumbled sentences. What is the best sequence to form a meaningful paragraph?
1. Justice was served, bringing closure to a high-profile case.
2. The courtroom drama unfolded with intense cross-examinations and compelling witness testimonies
3. The jury deliberated for days before reaching a unanimous verdict
4. Lawyers presented persuasive arguments based on legal precedents and evidence
A) 2-4-3-1
B) 3-1-2-4
C) 4-1-3-2
D) 4-2-3-1
Check Solution
Ans: A
Correct Paragraph: The courtroom drama unfolded with intense cross-examinations and compelling witness testimonies. Lawyers presented persuasive arguments based on legal precedents and evidence. The jury deliberated for days before reaching a unanimous verdict. Justice was served, bringing closure to a high-profile case.
8. Word Meanings
Select the best option that represents meaning of: malevolent
A) speak about unimportant matters rapidly and incessantly
B) tedious or irritating
C) having or exerting a malignant influence
D) inferior in rank or status
Check Solution
Ans: C
nan
9. Direct Indirect Speech
Choose the correct indirect form: The boy said, “I can solve this problem.”
A. The boy said that he could solve this problem.
B. The boy said that he could solve that problem.
C. The boy said he can solve that problem.
D. The boy said he could solve that problem.
Check Solution
Ans: B. The boy said that he could solve that problem.
“Can” changes to “could,” and “this” changes to “that” in indirect speech.
10. Idiom Phrases
Select the option that is closest in the meaning to: Break the ice
A) Make people feel more comfortable
B) Very happy
C) Something common
D) To get something over with because it is inevitable
Check Solution
Ans: A
Meaning: Make people feel more comfortable | Example : Telling a joke is a great way to break the ice at parties.
11. Critical Reasoning
Claim: “Electric vehicles (EVs) are better for the environment.”
Which of the following supports this claim?
A) EVs are more expensive than fuel-based vehicles.
B) EVs produce zero emissions during operation.
C) Battery disposal from EVs is an environmental challenge.
D) Fuel-based vehicles have a higher resale value.
Check Solution
Ans: B) EVs produce zero emissions during operation.
Option B directly supports the claim about environmental benefits due to zero emissions.
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