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Quizzes > Quizzes for Business > Education

Master Problem Solving Aptitude Mock Test

Sharpen Your Analytical Reasoning Skills Today

Difficulty: Moderate
Questions: 20
Learning OutcomesStudy Material
Colorful paper art promoting a Problem Solving Aptitude Mock Test quiz.

Ready to sharpen your analytical skills? This free problem-solving quiz challenges test-takers with 15 multiple-choice questions designed to enhance critical thinking and decision-making. Perfect for students and professionals preparing for aptitude tests like the Quantitative Aptitude Test or the Engineering Aptitude Test . After completing the quiz, learners can review and customize each question in our editor to fit their study needs. Explore more quizzes to continue building your problem-solving prowess.

What is the next number in the sequence: 2, 4, 6, 8, ...?
10
12
9
8
The sequence increases by 2 starting from 2, so after 8 comes 8 + 2 = 10. This simple pattern of even numbers makes 10 the correct continuation.
If all B are C and all C are D, are all B necessarily D?
Yes
No
Only if some B are D
Only if C are not D
By transitive logic, if every B is a C and every C is a D, then every B must also be a D. This simple syllogism shows the relationship clearly.
Which item does not belong in the list: apple, banana, carrot, grape?
Carrot
Apple
Banana
Grape
Apple, banana, and grape are all fruits, whereas carrot is a vegetable. The category difference makes carrot the odd one out.
If a runner completes one lap in 60 seconds, how many laps can they complete in 5 minutes?
5
4
10
3
Five minutes equals 300 seconds. Dividing by 60 seconds per lap yields 300 ÷ 60 = 5 laps.
In a group of 10 people, if 3 speak Spanish, how many do not speak Spanish?
7
3
10
5
Out of 10 people, subtract the 3 Spanish speakers to get 10 - 3 = 7 people who do not speak Spanish.
Which search algorithm is more time-efficient on a sorted array?
Binary search
Linear search
Bubble search
Interpolation search
Binary search repeatedly divides the search interval in half, achieving O(log n) time, while linear search is O(n). On large sorted arrays, binary search is significantly faster.
What is the median of the dataset [2, 5, 7, 11, 13, 17]?
9
10
11
7
With an even number of elements, the median is the average of the two middle values: (7 + 11) ÷ 2 = 9. This correctly identifies the central tendency.
What is the next number in the pattern: 2, 6, 12, 20, 30, ...?
42
36
40
48
Differences between terms increase by 2 each time: 4, 6, 8, 10, so the next difference is 12. Adding 12 to 30 gives 42.
Two trains are 100 miles apart and travel towards each other at 40 mph and 60 mph. How long until they meet?
1 hour
2 hours
1.5 hours
0.5 hour
Their combined speed is 40 + 60 = 100 mph. Time = distance ÷ speed = 100 miles ÷ 100 mph = 1 hour.
If 10 people each shake hands once with every other person, how many handshakes occur?
45
90
55
40
The number of unique handshakes among n people is n(n−1)/2. Here, 10×9/2 = 45 handshakes.
Can you find a single heavier ball among eight using a balance scale in just two weighings?
Yes, by dividing into groups of three, three, and two and weighing accordingly.
Yes, by weighing four against four on the first weighing.
No, it requires at least three weighings.
Yes, by weighing two and two first, then one and one.
Divide the balls into three groups (3, 3, 2). Weigh two groups of three; the heavier group or the group of two (if balanced) contains the heavy ball, which can be identified in the second weighing.
Which sorting algorithm is generally more efficient on average: QuickSort or BubbleSort?
QuickSort
BubbleSort
They are equally efficient
BubbleSort on nearly sorted data
QuickSort has average time complexity O(n log n), significantly better than BubbleSort's O(n²) in most practical cases, making QuickSort more efficient on average.
What is the missing number in the sequence: 5, 10, 20, __, 80?
40
30
50
60
Each term doubles the previous one: 5→10→20→40→80. Thus, the blank is 40.
If events A and B are independent with P(A)=0.3 and P(B)=0.4, what is P(A and B)?
0.12
0.7
0.1
0.4
For independent events, P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12. This multiplication rule defines joint probability under independence.
Two numbers have an average of 10, and one number is 8. What is the other number?
12
8
10
14
The sum of the two numbers is 2×10 = 20. Subtracting the known number gives 20 − 8 = 12, which is the other number.
You have three switches outside a room, each controls one of three bulbs inside. You may flip switches any way you like but enter the room only once. How can you identify which switch controls which bulb?
Turn on switch 1 for a while, turn it off, then turn on switch 2 and enter the room to feel and observe bulbs.
Turn on switch 1 and switch 2 simultaneously, then enter the room immediately.
Turn each switch on briefly and enter after each one.
It is impossible to determine with one entry.
By leaving switch 1 on then off, its bulb is warm. Switch 2's bulb is lit, and switch 3's bulb is cold and off. Feeling heat and checking light state maps switches to bulbs.
Between Dijkstra's algorithm and A* search with an admissible heuristic, which is generally more efficient for shortest-path finding?
A* search
Dijkstra's algorithm
They are always equal in efficiency
A* cannot guarantee an optimal path
With an admissible heuristic, A* directs the search towards the goal and explores fewer nodes than Dijkstra's uninformed approach, yet still guarantees an optimal path.
In the cryptarithmetic puzzle SEND + MORE = MONEY, what digit does M represent?
1
0
8
9
Since SEND + MORE produces a five-digit sum starting with M, and the maximum sum of two four-digit numbers is 1xxxx, M must be 1, representing the carry into the ten-thousands place.
How many distinct arrangements are possible for the letters in "BALLOON"?
1260
5040
720
840
"BALLOON" has 7 letters with L and O each repeated twice. Number of permutations = 7!/(2!×2!) = 5040/4 = 1260.
Three boxes are labeled "Apples," "Bananas," and "Apples & Bananas," but all labels are wrong. What is the minimum number of fruit picks needed to correctly relabel all boxes?
1
2
3
4
Pick one fruit from the box labeled "Apples & Bananas." Because its label is wrong, it contains only one type, which identifies that box. You can then deduce the contents of the other two boxes by elimination.
0
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Learning Outcomes

  1. Analyse complex scenarios to identify key problem areas.
  2. Apply logical strategies to solve aptitude-based questions.
  3. Evaluate multiple solution approaches for efficiency.
  4. Demonstrate critical thinking under timed conditions.
  5. Identify patterns and relationships in data sets.
  6. Master effective reasoning techniques for diverse puzzles.

Cheat Sheet

  1. Understand the Problem Thoroughly - Ready, set, dive in! Start by carefully reading every detail, jotting down what you know and what you need to find. Sketch a quick diagram or doodle to see the puzzle come to life and spark those "aha!" moments. Problem Solving Strategies
  2. Develop a Strategic Plan - Once you've got the lay of the land, pick a strategy that fits the challenge: tables, lists, or maybe a clever equation. Mapping out your approach ahead of time keeps you on track and prevents wandering down dead ends. With a game plan in hand, you're ready to tackle the tough parts head-on. FCIT Problem-Solving Strategies
  3. Break Down Complex Problems - Big, scary problems are just a bunch of little puzzles dressed in a math costume. Slice them into bite-sized chunks to make each step feel doable and less intimidating. Celebrate each mini-success, because before you know it, the whole problem collapses with ease. Problem Solving on Wikipedia
  4. Look for Patterns - Math loves a good pattern, and spotting one can be like finding treasure. Scan your numbers, shapes, or steps for repeats or sequences that simplify your work. Once you lock onto a pattern, you'll speed through the problem like a pro. MathCurious: Pattern Strategies
  5. Use Logical Reasoning - Put on your detective hat and connect the clues with clear, step-by-step logic. Ask "if this, then that" questions to piece together the solution like a mystery. Logical reasoning turns guesswork into a confident, stepwise journey. MathCurious: Logical Reasoning
  6. Work Backwards - Flip the script by starting with the answer you want and tracing the path back to where you started. This reverse-engineering trick can spotlight hidden steps and shortcuts you might miss going forward. It's like rewinding a movie to catch the secret twist at the end! MathCurious: Reverse Strategy
  7. Make an Organized List or Table - When information piles up, tame the chaos with neat lists or tables. Seeing data side by side helps you spot trends, gaps, and duplicates in a snap. It's a simple layout hack that keeps your brain from turning into a tangled web. FCIT Strategy Guide
  8. Guess and Check - Got a hunch? Test it! Plug in a reasonable guess and see if it fits the bill. If it doesn't, tweak it and try again - kind of like leveling up in a game. Each attempt brings you one step closer to the winning solution. FCIT Strategy Guide
  9. Apply Known Formulas and Theorems - Call in the big guns: formulas and theorems you've already mastered. These trusty tools can slice through complex calculations and rescue you from lengthy algebraic adventures. Keep a formula cheat sheet handy for those "flash of genius" moments. LearnAboutMath Strategies
  10. Reflect and Review - When the dust settles, pause and look back at every step. Ask yourself what worked, what flopped, and why you chose each move. This post-game analysis cements your skills and primes you for victory in the next math showdown. LearnAboutMath Reflection Tips
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