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Quizzes > General Knowledge & Mixed

Toughest Aptitude Questions with Answers: Mixed Challenge Quiz

Quick, free aptitude test practice with instant results and step-by-step answers.

Editorial: Review CompletedCreated By: Camila RamirezUpdated Aug 27, 2025
Difficulty: Moderate
2-5mins
Learning OutcomesCheat Sheet
Paper art puzzle pieces and gears float on sky blue background representing aptitude test and interview prep quiz.

This quiz helps you tackle tough aptitude questions and see how you reason under pressure. If you want more practice, try our aptitude test sample questions, a free programming aptitude test for coders, or build speed with a quantitative aptitude test.

What is the next number in the sequence: 2, 4, 6, 8, ?
9
10
12
14
The sequence is an arithmetic progression with a constant difference of 2. Starting at 2, each term adds 2, so 8 + 2 = 10. Therefore, the next term is 10. .
Solve for x: 3x + 5 = 20.
10
5
15
20
Subtracting 5 from both sides gives 3x = 15. Dividing by 3 yields x = 5. This follows the rules of linear equations. .
Dog is to puppy as cat is to ?
calf
foal
cub
kitten
A puppy is the young form of a dog. The equivalent term for a young cat is a kitten. Calf, cub, and foal refer to other animals. .
Identify the next letter in the pattern: A, C, E, G, ?
H
J
I
K
Each letter in the sequence advances by two positions in the alphabet: A?C?E?G. Adding two more letters after G gives I. .
Given that all beans are seeds and some seeds are grains, which statement is definitely true?
All grains are beans
Some beans may be grains
No grains are beans
All beans are grains
Beans are a subset of seeds, and since only some seeds are grains, it's possible that some beans overlap with grains. We cannot guarantee all or none. .
If you buy an item for $100 and sell it for $120, what is the profit percentage?
20%
15%
25%
10%
Profit is selling price minus cost price: $120 ? $100 = $20. Profit percentage = (20/100) × 100% = 20%. .
Find the odd one out: 2, 3, 5, 7, 9.
2
3
7
9
All numbers listed are prime except 9, which is 3×3 and therefore composite. The odd one out is 9. .
A train travels at 60 miles per hour. How far will it travel in 3 hours?
120 miles
240 miles
180 miles
200 miles
Distance = speed × time, so 60 mph × 3 h = 180 miles. This is a direct application of the distance formula. .
What is the next number in the series: 3, 6, 11, 18, 27, ?
42
40
38
36
The differences between terms are 3, 5, 7, 9, increasing by 2 each time. The next difference is 11, so 27 + 11 = 38. .
A bag contains 2 red balls and 3 blue balls. What is the probability of drawing a red ball?
2/5
4/5
1/3
3/5
There are 2 red balls out of 5 total, so the probability is 2/5. This is calculated by favourable outcomes over total outcomes. .
Pipe A fills a tank in 6 hours, while Pipe B empties it in 12 hours. If both pipes are open together, how long will it take to fill the tank?
6 hours
8 hours
12 hours
4 hours
Pipe A's rate is 1/6 tank/hour, Pipe B's rate is ?1/12 tank/hour. Net rate = 1/6 ? 1/12 = 1/12 tank/hour, so it takes 12 hours. .
If today is Monday, what day of the week will it be 45 days later?
Thursday
Saturday
Friday
Wednesday
45 days mod 7 days/week = 3 days extra. Three days after Monday is Thursday. .
Apples to oranges ratio is 3:2. If there are 25 fruits in total, how many are apples?
12
15
18
10
Total parts = 3 + 2 = 5. Apples = 3/5 of 25 = 15. This uses basic ratio division. .
What is the compound amount for $1,000 invested at 5% annual interest after 2 years?
$1,050
$1,100
$1,125
$1,102.50
After year one: $1,000 × 1.05 = $1,050. After year two: $1,050 × 1.05 = $1,102.50. Compound interest applies each period. .
Solve the system: x + y = 10 and x ? y = 2.
x=4, y=6
x=8, y=2
x=6, y=4
x=2, y=8
Adding both equations gives 2x = 12, so x = 6. Substituting back gives y = 4. This uses elimination method. .
A rectangle's length is increased by 20% and its width by 10%. By what percentage does the area increase?
28%
30%
32%
34%
New area factor = 1.20 × 1.10 = 1.32, which is a 32% increase over the original area. Percentage changes multiply in area calculations. .
Two fair six-sided dice are rolled. What is the probability that the sum of the faces is 8?
1/12
1/9
5/36
1/6
There are 5 combinations that sum to 8 out of 36 possible outcomes: (2,6),(3,5),(4,4),(5,3),(6,2). So probability = 5/36. .
Find the roots of the quadratic equation x² ? 5x + 6 = 0.
x = 2 and x = 3
x = ?1 and x = ?6
x = 1 and x = 6
x = ?2 and x = ?3
The quadratic factors as (x ? 2)(x ? 3) = 0, so the solutions are x = 2 or x = 3. This follows factoring methods. .
On an island of knights (always tell the truth) and knaves (always lie), A says, 'We are both knaves.' What are A and B?
A is a knave, B is a knave
A is a knight, B is a knight
A is a knave, B is a knight
A is a knight, B is a knave
If A were a knight, his statement would be true and both would be knaves, a contradiction. Thus A must be lying (a knave), making his statement false; not both are knaves, so B is a knight. .
What is the next number in the pattern: 2, 3, 5, 9, 17, ?
33
31
37
35
The differences between terms are powers of two: 1, 2, 4, 8, so next difference is 16. Thus 17 + 16 = 33. .
In how many ways can 5 distinct books be arranged on a shelf such that two particular books are never together?
48
72
84
60
Total arrangements are 5! = 120. Treating the two books as a single item gives 4!×2! = 48 forbidden arrangements. Subtracting: 120 ? 48 = 72 valid arrangements. .
Three pipes fill a tank in the following times: A in 8 hours, B in 12 hours, and C empties in 16 hours. If all are open, how long to fill the tank?
6 hours
8 hours
7 hours
6 6/7 hours
Rates are 1/8 + 1/12 ? 1/16 = 7/48 tanks/hour. Time = 1 ÷ (7/48) = 48/7 ? 6 6/7 hours. .
What is the probability of drawing two aces consecutively from a standard 52-card deck without replacement?
6/1326
1/52
1/169
1/221
There are 4 aces, so first draw probability = 4/52, then 3/51. Multiply: (4/52)×(3/51) = 12/2652 = 1/221. .
For the cubic equation x³ ? 6x² + 11x ? 6 = 0, what is the sum of its roots?
?6
11
1
6
By Vieta's formulas, the sum of the roots of x³ + ax² +?= ?a. Here a = ?6, so sum = 6. .
In how many ways can 5 people be seated around a circular table?
24
720
120
5
Circular permutations of n distinct items are (n?1)!. For 5 people, (5?1)! = 4! = 24. .
0
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Study Outcomes

  1. Analyze Logic Puzzles -

    Break down complex logic puzzles into clear steps to sharpen structured reasoning skills for solving aptitude questions effectively.

  2. Solve Number Problems -

    Apply mathematical techniques and shortcuts to tackle challenging number-based aptitude practice questions with confidence and speed.

  3. Interpret Word Challenges -

    Decode linguistic patterns and utilize critical thinking strategies to master word-based aptitude question scenarios.

  4. Manage Time Efficiently -

    Implement practical time-management tactics to complete free aptitude test questions and answers accurately under timed conditions.

  5. Evaluate Solution Accuracy -

    Assess your answers against provided explanations to identify mistakes and reinforce understanding of key concepts.

  6. Strengthen Critical Thinking -

    Engage with a variety of aptitude practise questions to build mental agility and prepare confidently for interviews and exams.

Cheat Sheet

  1. Pattern Recognition in Number Series -

    Master arithmetic and geometric sequences by identifying common differences or ratios; for example, use aₙ = a₝ + (n−1)d for arithmetic series (source: MIT OpenCourseWare). When first-order differences vary, compute second-order differences to detect quadratic patterns. Mnemonic "Diff, Diff, then Fit" helps recall to check if numbers follow a squared trend.

  2. Logical Deduction with Venn Diagrams -

    Use Venn diagrams to solve set-based aptitude questions, applying the inclusion-exclusion principle: |A∪B| = |A| + |B| - |A∩B| (as outlined by Stanford University). Visualizing overlaps clarifies "at least" or "exactly" constraints in free aptitude test questions and answers. Color-coding each region speeds up deduction and reduces error.

  3. Data Sufficiency Essentials -

    Adopt the GMAT-style data sufficiency approach by first determining what information is needed, then assessing if given statements alone or combined answer the question. Practice aptitude practice questions where you decide if one or both statements suffice without solving completely (Harvard Business School method). This trains critical thinking and prevents over-calculating.

  4. Verbal Analogies and Relationships -

    Analogies (A:B :: C:?) test your ability to spot semantic or relational parallels; categorize relationships as synonym, antonym, part-whole, cause-effect, etc., based on Oxford University language research. The phrase "Opposites Attract, Synonyms Bond" helps recall two main analogy types quickly. Regularly review word pairs with flashcards to boost speed on aptitude questions with answers.

  5. Time, Speed, and Work Strategies -

    Apply the formula Work = Rate × Time and remember that combined work rates add: 1/T_total = 1/T₝ + 1/T₂ for simultaneous tasks (per University of Cambridge examples). For distance-time problems, use Speed = Distance / Time and convert units consistently (e.g., km/h to m/s via ÷3.6). A handy trick: "Rate Rings" - draw small circles to represent each worker's rate and sum them visually.

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