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Triangle Quiz – Level 2 (10 Questions with Answers & Explanation)

Bank Exam Reasoning | Practice Set

Introduction

This Level 2 triangle quiz is designed to improve your observation and logical reasoning skills. Try solving all questions before checking the answers.

Q1. How many triangles are there?
✔️ Answer: 18
Explanation: Count small + medium + large triangles.

Q2. How many triangles are there?
✔️ Answer: 12
Explanation: Lines from vertex create multiple combinations.

Q3. How many triangles are there?
✔️ Answer: 13
Explanation: Includes inner + combined triangles.

Q4. How many triangles are there?
✔️ Answer: 14
Explanation: Star shape has overlapping triangles.

Q5. How many triangles are there?
✔️ Answer: 16
Explanation: Diagonals create hidden triangles.

Q6. How many triangles are there?
✔️ Answer: 14
Explanation: Combine base and inner triangles.

Q7. How many triangles are there?
✔️ Answer: 18
Explanation: Layer-wise counting gives correct result.

Q8. How many triangles are there?
✔️ Answer: 14
Explanation: Intersecting lines form hidden shapes.

Q9. How many triangles are there?
✔️ Answer: 15
Explanation: Median + layers create extra triangles.

Q10. How many triangles are there?
✔️ Answer: 20
Explanation: Complex figure includes multiple overlapping triangles.

Key Tricks

• Start with small triangles

• Then count medium combinations

• Include largest triangle

• Check hidden triangles

• Avoid double counting

Conclusion

Practice regularly to improve your triangle counting speed. These questions are important for bank exams and reasoning sections.

Practice → Accuracy → Speed → Success

Triangle Counting Tricks – Smart Methods to Solve Faster

Bank Exam Reasoning | Visual IQ Improvement Guide

Introduction

Counting triangles is a common question in reasoning sections of bank exams. These problems test your observation and systematic thinking.

There is no magic shortcut, but there are proven techniques to solve quickly and accurately.

1. Start with Small Triangles

Always begin by counting the smallest visible triangles.

These are easiest to identify and form the base count.

2. Count Medium-Sized Triangles

Combine two or more small triangles to form larger ones.

Many students miss these—this is where most errors happen.

3. Include the Largest Triangle

Don’t forget the outer boundary triangle.

It is often ignored in counting.

4. Use Layer-by-Layer Method

Count triangles row-wise or layer-wise from top to bottom.

This avoids confusion and ensures no triangle is missed.

5. Look for Hidden & Overlapping Triangles

Many triangles are formed by combining non-adjacent lines.

Check intersections carefully.

6. Avoid Double Counting

Once counted, mark mentally or systematically move forward.

Repetition is a common mistake.

7. Pattern Recognition (Advanced)

With practice, you will recognize patterns:

• Simple triangle → predictable count

• Grid triangle → layer-based counting

• Star shape → overlapping logic

Common Mistakes

• Ignoring hidden triangles

• Missing combined triangles

• Double counting

• Not following a method

Conclusion

Triangle counting becomes easy only with structured practice. Always follow a systematic approach instead of random counting.

Small → Medium → Large → Hidden = Correct Answer

Bank Exam Speed Maths – Complete Course

All Quant Topics + Reasoning Quizzes in One Place

About This Course:

This complete course is designed for IBPS, SBI, SSC and other competitive exams. Learn all quantitative aptitude topics with shortcut tricks, practice questions, and reasoning quizzes.

Quantitative Aptitude Topics

Reasoning Quiz Section

Practice Daily to Improve Speed & Accuracy

Consistency + Smart Practice = Selection

Count the Triangles Quiz – 3 Challenging Questions with Answers

Bank Exam Reasoning | Improve Your Observation Skills

Introduction

Counting triangles is a common visual reasoning topic in bank exams like IBPS, SBI, and SSC. These questions test your observation, accuracy, and logical thinking ability.

In this post, you will find 3 triangle puzzles with answers and explanations.

Problem 1

Question: How many triangles are there in the figure?

✔️ Answer: 12

Approach:

• Count small triangles

• Add medium triangles

• Include largest triangle

Problem 2

Question: How many triangles are there in the figure?

✔️ Answer: 12

Approach:

• Focus on vertex divisions

• Combine triangle parts

• Avoid double counting

Problem 3

Question: How many triangles are there in the star figure?

✔️ Answer: 14

Approach:

• Identify overlapping triangles

• Count hidden triangles

• Include outer shapes

Key Tricks

• Start with small triangles

• Check combined triangles

• Look for hidden shapes

• Avoid repetition

ANSWER IMAGE:

Conclusion

Practice triangle counting regularly to improve speed and accuracy. These questions are highly useful for bank exams.

Practice Daily → Improve Speed → Crack Exam

Bank Exam Speed Maths – Complete Course

All Quant Topics + Reasoning Quizzes in One Place

About This Course:

This complete course is designed for IBPS, SBI, SSC and other competitive exams. Learn all quantitative aptitude topics with shortcut tricks, practice questions, and reasoning quizzes.

Quantitative Aptitude Topics

Reasoning Quiz Section

Practice Daily to Improve Speed & Accuracy

Consistency + Smart Practice = Selection

Bank Exam Speed Maths

Page 20: Exam Strategy & Time Management (Score Booster)

1. Exam Strategy

• Attempt easy questions first

• Skip lengthy calculations initially

• Focus on accuracy over attempts

• Avoid getting stuck on one question

2. Time Management

• Total time: ~20 minutes (Prelims Quant)

• First 10 minutes → Easy questions

• Next 5 minutes → Moderate

• Last 5 minutes → Review & guesses

3. Attempt Strategy

• Target 20–25 correct questions

• Maintain 90%+ accuracy

• Avoid blind guessing

4. Topic Priority (High to Low)

1. Simplification & Approximation

2. Number Series

3. Quadratic Equations

4. DI (Easy Sets)

5. Arithmetic (Time & Work, Profit & Loss)

5. Speed Improvement Tips

• Practice daily for 30 minutes

• Memorize squares, cubes, percentages

• Use shortcut methods instead of long calculations

• Analyze mistakes after practice

6. Accuracy Tips

• Read questions carefully

• Avoid calculation errors

• Double-check marked answers

7. Final Advice

Consistency is the key to success. Practice daily, revise shortcuts, and stay confident during the exam.

"Speed + Accuracy = Selection"

Bank Exam Speed Maths – Complete Course

All Quant Topics + Reasoning Quizzes in One Place

About This Course:

This complete course is designed for IBPS, SBI, SSC and other competitive exams. Learn all quantitative aptitude topics with shortcut tricks, practice questions, and reasoning quizzes.

Quantitative Aptitude Topics

Reasoning Quiz Section

Practice Daily to Improve Speed & Accuracy

Consistency + Smart Practice = Selection

Bank Exam Speed Maths

Page 19: Approximation (Fast Calculation Techniques)

1. Basic Concept

Approximation means simplifying numbers to make calculations faster.

Used when options are far apart.

2. Rounding Rules

• 1–4 → Round down

• 5–9 → Round up

Example:
23 ≈ 20
78 ≈ 80

3. Approximation in Addition/Subtraction

Example:
498 + 302 ≈ 500 + 300 = 800

Example:
803 - 197 ≈ 800 - 200 = 600

4. Approximation in Multiplication

Example:
49 × 19 ≈ 50 × 20 = 1000

5. Approximation in Division

Example:
198 ÷ 9 ≈ 200 ÷ 10 = 20

6. Square Root Approximation

Find nearest perfect square

Example:
√48 ≈ √49 = 7

7. Important Tips

• Use only when options are far apart

• Avoid over-rounding

• Maintain balance (both sides rounding)

8. Practice Questions

1. 497 + 303 ≈ ?

2. 802 - 198 ≈ ?

3. 51 × 19 ≈ ?

4. 210 ÷ 11 ≈ ?

5. √63 ≈ ?

Bank Exam Speed Maths – Complete Course

All Quant Topics + Reasoning Quizzes in One Place

About This Course:

This complete course is designed for IBPS, SBI, SSC and other competitive exams. Learn all quantitative aptitude topics with shortcut tricks, practice questions, and reasoning quizzes.

Quantitative Aptitude Topics

Reasoning Quiz Section

Practice Daily to Improve Speed & Accuracy

Consistency + Smart Practice = Selection

Bank Exam Speed Maths

Page 18: Inequalities (Shortcut Methods)

1. Basic Symbols

> → Greater than

< → Less than

≥ → Greater than or equal to

≤ → Less than or equal to

= → Equal to

2. Basic Concept

Inequalities compare values using symbols.

Solve step-by-step and combine statements logically.

3. Chain Rule

If A > B and B > C → A > C

Example:
A > B, B > C → A > C ✔

4. Opposite Rule

If signs are opposite, no definite relation

Example:
A > B, B < C → No conclusion between A and C

5. Equality Case

If A = B and B = C → A = C

Example:
A = B, B = C → A = C ✔

6. Mixed Inequality

Combine multiple statements carefully

Example:
A ≥ B, B > C → A > C ✔

7. Important Tips

• Follow left-to-right comparison

• Use chain rule wherever possible

• Avoid assumptions without clear relation

8. Practice Questions

1. A > B, B > C → Relation between A and C?

2. A < B, B > C → Relation between A and C?

3. A = B, B > C → Relation between A and C?

4. A ≥ B, B ≥ C → Relation between A and C?

5. A > B, B = C → Relation between A and C?

Bank Exam Speed Maths – Complete Course

All Quant Topics + Reasoning Quizzes in One Place

About This Course:

This complete course is designed for IBPS, SBI, SSC and other competitive exams. Learn all quantitative aptitude topics with shortcut tricks, practice questions, and reasoning quizzes.

Quantitative Aptitude Topics

Reasoning Quiz Section

Practice Daily to Improve Speed & Accuracy

Consistency + Smart Practice = Selection

Bank Exam Speed Maths

Page 17: Quadratic Equations (Shortcut Methods)

1. Basic Concept

Quadratic Equation: ax² + bx + c = 0

Roots Formula:
x = [-b ± √(b² - 4ac)] / 2a

2. Factorization Method (Fastest)

Convert equation into factors:

Example:
x² - 5x + 6 = 0
(x - 2)(x - 3) = 0
Roots = 2, 3

3. Root Comparison Trick

Solve both equations separately and compare roots

Example:
x² - 7x + 10 = 0 → roots = 2, 5
x² - 5x + 6 = 0 → roots = 2, 3
Compare → one root equal (2)

4. Nature of Roots

D = b² - 4ac

D > 0 → Real & different
D = 0 → Equal roots
D < 0 → Imaginary roots

5. Shortcut Method

Sum of roots = -b/a
Product of roots = c/a

Example:
x² - 5x + 6 = 0
Sum = 5, Product = 6 → Roots = 2, 3

6. Important Tips

• Prefer factorization over formula

• Use sum & product for quick solving

• Common in comparison questions

7. Practice Questions

1. Solve: x² - 9x + 20 = 0

2. Roots of x² - 4x + 4 = 0?

3. Compare roots: x² - 6x + 8 and x² - 5x + 6

4. Find sum of roots of x² - 7x + 10

5. Nature of roots: x² + 4x + 5

Bank Exam Speed Maths

Page 16: Number Series (Missing & Wrong Number Tricks)

1. Basic Concept

Number series questions test pattern recognition and logical thinking.

Find missing number or wrong number in sequence.

2. Common Patterns

• Addition / Subtraction

• Multiplication / Division

• Square / Cube

• Alternate Pattern

• Combination of operations

3. Example (Simple Pattern)

2, 4, 6, 8, ?

Pattern: +2

Answer: 10

4. Example (Square Pattern)

1, 4, 9, 16, ?

Pattern: Squares (1², 2², 3², 4²)

Answer: 25

5. Example (Mixed Pattern)

2, 6, 7, 21, 22, ?

Pattern: ×3, +1, ×3, +1

Answer: 66

6. Wrong Number Trick

Identify pattern first, then check which number breaks it

Example:
2, 4, 8, 15, 16
Pattern should be ×2 → wrong number = 15

7. Important Tips

• Check difference first

• Then check ratio

• Look for squares/cubes

• Identify alternating patterns

8. Practice Questions

1. 3, 6, 9, 12, ?

2. 5, 10, 20, 40, ?

3. 1, 8, 27, 64, ?

4. 2, 5, 10, 17, ?

5. Find wrong number: 4, 8, 16, 30, 32

Bank Exam Speed Maths

Page 15: Data Interpretation (DI Basics & Strategy)

1. What is Data Interpretation?

DI involves analyzing data presented in tables, charts, or graphs.

Used to test calculation speed and analytical ability.

2. Types of DI Questions

• Table DI

• Bar Graph

• Pie Chart

• Line Graph

• Caselet DI

3. Table DI Example

Year → 2020 | 2021 | 2022

Sales → 100 | 150 | 200

Question: Increase from 2020 to 2022?
= 200 - 100 = 100

4. Percentage-Based DI

Use percentage shortcuts to solve quickly

Example:
Increase from 100 to 150
= 50% increase

5. Ratio-Based DI

Compare values using ratios

Example:
100 : 200 = 1 : 2

6. Approximation Trick

Round numbers for faster calculation

Example:
198 ≈ 200, 302 ≈ 300

7. DI Strategy (Exam Tips)

• First read questions, then analyze data

• Use approximation where possible

• Avoid lengthy calculations

• Focus on easy questions first

8. Practice Questions

1. If value increases from 200 to 300 → % increase?

2. Ratio of 150 and 300?

3. Difference between 500 and 350?

4. Approximate 198 + 302?

5. Which DI type uses percentages most?

Bank Exam Speed Maths

Page 14: Partnership (Profit Sharing Tricks)

1. Basic Concept

Partnership: Two or more people invest money in a business

Profit Sharing: Based on investment and time

Formula:
Profit ∝ Investment × Time

2. Simple Partnership

If time is same:

Profit ratio = Investment ratio

Example:
A invests 2000, B invests 3000
Ratio = 2 : 3

3. Compound Partnership

If time is different:

Profit ratio = (Investment × Time)

Example:
A = 2000 for 12 months → 24000
B = 3000 for 6 months → 18000
Ratio = 4 : 3

4. Entry/Exit Concept

When a partner joins or leaves:

Calculate investment for actual time period

Example:
A invests for 12 months
B joins after 6 months → invests for 6 months

5. Shortcut Trick

Use units method:

Convert all values into simple ratio

Example:
A = 2 × 12 = 24 units
B = 3 × 6 = 18 units
Ratio = 4 : 3

6. Important Tips

• Always consider both money and time

• Convert into simple ratio for faster solving

• Common in DI and word problems

7. Practice Questions

1. A invests 1000, B invests 2000 → Profit ratio?

2. A = 2000 (12 months), B = 3000 (6 months) → Ratio?

3. A invests double of B for same time → Ratio?

4. B joins after 4 months → How to calculate?

5. Profit = 700, ratio 2:3 → Share of A?

Bank Exam Speed Maths – Complete Course

All Quant Topics + Reasoning Quizzes in One Place

About This Course:

This complete course is designed for IBPS, SBI, SSC and other competitive exams. Learn all quantitative aptitude topics with shortcut tricks, practice questions, and reasoning quizzes.

Quantitative Aptitude Topics

Reasoning Quiz Section

Practice Daily to Improve Speed & Accuracy

Consistency + Smart Practice = Selection

Bank Exam Speed Maths

Page 13: Mixture & Alligation (Shortcut Methods)

1. Basic Concept

Mixture: Combination of two or more items

Alligation: Method to find ratio of mixing

Used for prices, percentages, concentrations

2. Alligation Rule

Ratio = (Difference of mean with higher value) : (Difference with lower value)

Example:
Mix ₹20/kg and ₹30/kg to get ₹25/kg
Ratio = (30-25) : (25-20) = 5 : 5 = 1 : 1

3. Weighted Average Concept

Mean = (Sum of (Value × Quantity)) / Total Quantity

Example:
10 items at ₹20 and 20 items at ₹30
Mean = (200 + 600) / 30 = ₹26.67

4. Replacement Concept

When part of mixture is replaced:

Remaining quantity = (1 - removed/total)ⁿ

Example:
10 litres, remove 2 litres once
Remaining = 8/10 = 4/5

5. Important Shortcut

If mean is closer to one value, quantity of that value is higher

Example:
Mean = 28 (between 20 & 30)
Closer to 30 → more quantity of 30

6. Important Tips

• Use alligation instead of long calculations

• Focus on ratio, not actual values

• Common in DI and profit-loss questions

7. Practice Questions

1. Mix ₹40 and ₹60 to get ₹50 → Ratio?

2. Mean of 10 items at ₹20 and 10 at ₹40?

3. Replace 2 litres from 10 litres → Remaining fraction?

4. Mix 30% and 50% to get 40% → Ratio?

5. Which has more quantity if mean closer to higher value?

Bank Exam Speed Maths – Complete Course

All Quant Topics + Reasoning Quizzes in One Place

About This Course:

This complete course is designed for IBPS, SBI, SSC and other competitive exams. Learn all quantitative aptitude topics with shortcut tricks, practice questions, and reasoning quizzes.

Quantitative Aptitude Topics