The TCS National Qualifier Test (TCS NQT) Is One Of The Most Popular Employability Assessments For Freshers Seeking Jobs In The IT Industry. The Aptitude Section Evaluates A Candidate’s Numerical Ability, Logical Reasoning, Verbal Ability, Analytical Thinking, And Problem-Solving Skills. It Covers Important Topics Such As Percentages, Profit And Loss, Ratio And Proportion, Time And Work, Time-Speed-Distance, Number Series, Coding-Decoding, Syllogisms, Probability, Simplification, Permutation And Combination, Reading Comprehension, And Logical Reasoning. These Questions Are Designed To Assess Both Accuracy And Speed, Which Are Essential For Clearing The TCS NQT Exam. Practicing A Wide Variety Of MCQs With Detailed Answers Helps Candidates Understand Concepts, Improve Calculation Speed, Enhance Logical Thinking, And Build Confidence For The Actual Test. This Collection Of TCS NQT Aptitude Questions: MCQs With Answers For Freshers 2026 Covers Frequently Asked Questions Along With Simple Explanations, Making It An Excellent Resource For Exam Preparation And Interview Success.

1. A Shirt Costs ₹800 And Is Sold For ₹920. What Is The Profit Percentage?

Ans:

• Use The Formula (Profit ÷ Cost Price) × 100. The Profit Is ₹120. The Calculation Is (120 ÷ 800) × 100. The Result Is 15%. Profit And Loss Questions Test Basic Arithmetic Skills. 
• They Frequently Appear In TCS NQT Exams. They Improve Calculation Speed. Profit Percentage = 15%. 
• The Shopkeeper Earned A Profit Of 15 Percent. This Indicates A Profitable Sale. Understanding Profit Percentage Helps Solve Business Problems.

2. A Shopkeeper Bought A Bag For ₹1,200 And Sold It For ₹1,080. What Is The Loss Percentage?

Ans:

Use The Formula (Loss ÷ Cost Price) × 100. The Loss Is ₹120. The Calculation Is (120 ÷ 1200) × 100. The Result Is 10%. Loss Percentage Questions Test Numerical Ability. They Are Common In Aptitude Tests. They Improve Problem-Solving Skills. Loss Percentage = 10%. The Shopkeeper Incurred A Loss Of 10 Percent. This Shows The Selling Price Was Lower Than The Cost Price. Practice Makes These Questions Easy.

3. The Ratio Of Boys To Girls In A Class Is 5:4. If There Are 45 Boys, How Many Girls Are There?

Ans:

• Use The Ratio 5:4. One Part Represents 45 ÷ 5 = 9. Therefore Girls = 4 × 9 = 36. Ratio And Proportion Questions Test Logical Calculation Skills. 
• They Frequently Appear In Competitive Exams. They Improve Mathematical Thinking. Number Of Girls = 36. The Class Has 36 Girls. 
• Ratios Help Compare Quantities Easily. Practice Improves Accuracy. Understanding Ratios Helps Solve Real-Life Comparison Problems Efficiently.

4. If 8 Workers Complete A Job In 15 Days, How Many Days Will 12 Workers Take?

Ans:

Use The Formula Workers × Days = Constant. The Calculation Is (8 × 15) ÷ 12. The Result Is 10 Days. Time And Work Questions Test Analytical Skills. They Frequently Appear In Placement Exams. They Improve Logical Thinking. Required Time = 10 Days. More Workers Reduce The Time Needed. This Is An Inverse Proportion Problem. Practice Helps Solve Faster. Learning This Concept Improves Speed In Solving Work Efficiency Problems.

5. A Can Complete A Job In 10 Days. How Much Work Does A Complete In One Day?

Ans:

Use The Formula Speed = Distance ÷ Time. The Calculation Is 360 ÷ 6. The Result Is 60 Km/H. Time-Speed-Distance Questions Test Arithmetic Ability. They Frequently Appear In TCS NQT. They Improve Calculation Speed. Speed = 60 Km/H. The Car Travels At A Constant Speed. This Formula Is Very Important In Aptitude Tests. Always Remember The Relationship Between Speed, Distance, And Time.

6. Find The Next Number In The Series: 4, 8, 16, 32, 64, ??

Ans:

Each Number Is Multiplied By 2. The Next Number Is 64 × 2 = 128. Number Series Questions Test Pattern Recognition Skills. They Frequently Appear In Aptitude Tests. They Improve Logical Thinking. Next Number = 128. Recognizing Patterns Quickly Saves Time. Practice Different Series Types Regularly. Identifying The Pattern Correctly Is The Key To Solving Series Questions.

7. If CAT Is Written As DBU, How Is DOG Written?

Ans:

Each Letter Is Shifted Forward By One Alphabet. D → E, O → P, G → H. Therefore DOG Becomes EPH. Coding-Decoding Questions Test Logical Reasoning Skills. They Frequently Appear In Placement Exams. They Improve Pattern Recognition.  = EPH. Alphabet Coding Is Easy With Regular Practice. Learn Letter Positions Carefully. Mastering Alphabet Positions Helps Solve Coding Questions Quickly

8. All Pens Are Books. All Books Are Bags. Which Conclusion Is Correct?

Ans:

Since All Pens Are Books And All Books Are Bags, All Pens Are Bags. Syllogism Questions Test Logical Reasoning Ability. They Frequently Appear In TCS NQT. They Improve Analytical Thinking. Correct Conclusion: All Pens Are Bags. This Conclusion Follows The Given Statements. Practice Improves Logical Accuracy. Always Draw Conclusions Only From The Information Provided.

9. A Student Obtained 450 Marks Out Of 600. What Is The Percentage?

Ans:

• Use The Formula (Obtained Marks ÷ Total Marks) × 100. The Calculation Is (450 ÷ 600) × 100. The Result Is 75%. Percentage Questions Test Numerical Ability. 
• They Frequently Appear In Aptitude Exams. They Improve Mental Calculations. Percentage = 75%. The Student Scored 75 Percent Marks. 
• This Reflects Good Academic Performance. Percentage Calculations Are Widely Used In Academic And Competitive Exams.

10. A Product Costs ₹500 And Is Sold For ₹600. What Is The Profit Percentage?

Ans:

Use The Formula (Profit ÷ Cost Price) × 100. The Profit Is ₹100. The Calculation Is (100 ÷ 500) × 100. The Result Is 20%. Profit Questions Test Arithmetic Skills. They Frequently Appear In Competitive Exams. They Improve Speed And Accuracy. Profit Percentage = 20%. The Seller Earned A Good Profit. Practice Makes Such Problems Easy. Understanding Profit Percentage Helps In Solving Business And Commerce Problems Efficiently.

11. A Student Scored 360 Marks Out Of 480. What Is The Percentage?

Ans:

Use The Formula (Obtained Marks ÷ Total Marks) × 100. The Calculation Is (360 ÷ 480) × 100. The Result Is 75%. Percentage Questions Test Basic Mathematical Skills. They Frequently Appear In TCS NQT Exams. They Improve Calculation Speed. Percentage = 75%. The Student Scored 75 Percent Marks. This Indicates Good Academic Performance. Regular Practice Improves Accuracy. Percentage Calculations Are Useful In Academics, Finance, And Everyday Life.

12. A Number Is Increased From 200 To 260. What Is The Percentage Increase?

Ans:

Use The Formula (Increase ÷ Original Number) × 100. The Increase Is 60. The Calculation Is (60 ÷ 200) × 100. The Result Is 30%. Percentage Increase Questions Test Numerical Ability. They Frequently Appear In Aptitude Tests. They Improve Problem-Solving Skills. Percentage Increase = 30%. The Number Increased By Thirty Percent. Learning This Formula Saves Time. Understanding Percentage Increase Helps Analyze Growth And Performance.

13. A Product Is Sold At ₹450 After A 10% Discount. What Was The Original Price?

Ans:

Let The Original Price Be ₹500. Ten Percent Of ₹500 Is ₹50. The Selling Price Is ₹500 − ₹50 = ₹450. Discount Questions Test Arithmetic Skills. They Frequently Appear In Placement Exams. They Improve Logical Thinking. Original Price = ₹500. Always Calculate Discount On The Marked Price. Practice Improves Speed. Discount Calculations Are Commonly Used During Shopping And Business Transactions.

14. A Shopkeeper Bought A Watch For ₹2,000 And Sold It For ₹2,400. What Is The Profit Percentage?

Ans:

Use The Formula (Profit ÷ Cost Price) × 100. The Profit Is ₹400. The Calculation Is (400 ÷ 2000) × 100. The Result Is 20%. Profit Questions Test Numerical Ability. They Frequently Appear In TCS NQT. They Improve Mental Calculations. Profit Percentage = 20%. The Shopkeeper Earned Twenty Percent Profit. Understanding Profit Formulas Is Important. These Questions Help Develop Business And Financial Calculation Skills.

15. A Bicycle Was Purchased For ₹5,000 And Sold For ₹4,500. What Is The Loss Percentage?

Ans:

• Use The Formula (Loss ÷ Cost Price) × 100. The Loss Is ₹500. The Calculation Is (500 ÷ 5000) × 100. The Result Is 10%. Loss Questions Test Arithmetic Skills. 
• They Frequently Appear In Competitive Exams. They Improve Calculation Accuracy. Loss Percentage = 10%. The Seller Incurred A Ten Percent Loss. 
• Practice Helps Solve Such Questions Quickly. Understanding Loss Percentage Helps Evaluate Financial Decisions Effectively.

16. The Ratio Of Red Balls To Blue Balls Is 7:5. If There Are 35 Red Balls, How Many Blue Balls Are There?

Ans:

Use The Ratio 7:5. One Part Represents 35 ÷ 7 = 5. Therefore Blue Balls = 5 × 5 = 25. Ratio Questions Test Logical Thinking. They Frequently Appear In Aptitude Tests. They Improve Numerical Skills. Number Of Blue Balls = 25. Ratios Help Compare Quantities Easily. Practice Makes Calculations Faster. Learning Ratios Improves Accuracy In Solving Comparison-Based Problems.

17. The Ratio Of Two Numbers Is 4:9. If The Smaller Number Is 20, What Is The Larger Number?

Ans:

• One Part Represents 20 ÷ 4 = 5. The Larger Number Is 9 × 5 = 45. Ratio And Proportion Questions Test Mathematical Ability. 
• They Frequently Appear In Placement Exams. They Improve Logical Reasoning. Larger Number = 45. Ratios Simplify Comparisons. 
• Understanding Unit Value Is Important. Practice Helps Solve Ratio Problems More Efficiently In Competitive Exams.

18. If 6 Workers Finish A Job In 18 Days, How Many Days Will 9 Workers Take?

Ans:

Use The Formula Workers × Days = Constant. The Calculation Is (6 × 18) ÷ 9. The Result Is 12 Days. Time And Work Questions Test Analytical Skills. They Frequently Appear In TCS NQT. They Improve Logical Thinking. Required Time = 12 Days. Increasing Workers Reduces Time. Practice Helps Improve Speed. Understanding Work Efficiency Is Essential For Solving Time And Work Problems.

19. If 15 Men Complete A Job In 20 Days, How Many Days Will 25 Men Take?

Ans:

Use The Formula Workers × Days = Constant. The Calculation Is (15 × 20) ÷ 25. The Result Is 12 Days. Time And Work Problems Test Numerical Reasoning. They Frequently Appear In Competitive Exams. They Improve Accuracy. Required Time = 12 Days. More Workers Finish The Work Faster. Practice Regularly. Consistent Practice Helps Solve Inverse Proportion Questions Quickly And Correctly.

20. A Bus Travels 420 Km In 7 Hours. What Is Its Speed?

Ans:

• Use The Formula Speed = Distance ÷ Time. The Calculation Is 420 ÷ 7. The Result Is 60 Km/H. Time-Speed-Distance Questions Test Arithmetic Skills. 
• They Frequently Appear In Aptitude Tests. They Improve Mental Calculations. Speed = 60 Km/H. Speed Is Measured In Kilometres Per Hour. 
• Practice Different Speed Problems. Mastering Speed Calculations Helps Solve Travel And Motion Problems Efficiently.

21. A Bike Travels At 45 Km/H For 4 Hours. How Much Distance Does It Cover?

Ans:

Use The Formula Distance = Speed × Time. The Calculation Is 45 × 4. The Result Is 180 Km. Distance Questions Test Numerical Ability. They Frequently Appear In TCS NQT. They Improve Formula Application. Distance = 180 Km. Always Use Correct Units. Practice Helps Improve Accuracy. Knowing Distance Formulas Helps Solve Travel-Related Problems Quickly And Correctly.

22. Find The Next Number In The Series: 6, 12, 18, 24, 30, ?

Ans:

Each Number Increases By 6. The Next Number Is 30 + 6 = 36. Number Series Questions Test Pattern Recognition. They Frequently Appear In Aptitude Exams. They Improve Logical Thinking. Next Number = 36. Recognizing Patterns Quickly Saves Time. Practice Different Sequence Types. Regular Practice Helps Identify Number Patterns More Efficiently.

23. Find The Next Number In The Series: 2, 5, 10, 17, 26, ?

Ans:

The Pattern Is +3, +5, +7, +9. The Next Increase Is +11. Therefore 26 + 11 = 37. Number Series Questions Improve Logical Ability. They Frequently Appear In Placement Tests. They Enhance Observation Skills. Next Number = 37. Identify The Pattern Carefully Before ing. Careful Observation Is The Key To Solving Series Questions Accurately.

24. If BOOK Is Written As CPPL, How Is READ Written?

Ans:

Each Letter Is Shifted Forward By One Alphabet. R → S, E → F, A → B, D → E. Therefore READ Becomes SFBE. Coding-Decoding Questions Test Pattern Recognition Skills. They Frequently Appear In TCS NQT. They Improve Logical Thinking.  = SFBE. Learn Alphabet Positions For Faster Solutions. Strong Alphabet Knowledge Makes Coding-Decoding Questions Easier To Solve.

25. If PEN Is Written As QFO, How Is MAP Written?

Ans:

Each Letter Is Shifted Forward By One Alphabet. M → N, A → B, P → Q. Therefore MAP Becomes NBQ. Coding-Decoding Questions Test Analytical Skills. They Frequently Appear In Competitive Exams. They Improve Observation Ability.  = NBQ. Practice Different Coding Patterns Regularly. Consistent Practice Improves Speed And Accuracy In Coding-Decoding Problems.

26. All Doctors Are Graduates. All Graduates Are Educated. Which Conclusion Is Correct?

Ans:

• Since All Doctors Are Graduates And All Graduates Are Educated, All Doctors Are Educated. Syllogism Questions Test Logical Reasoning Skills. 
• They Frequently Appear In TCS NQT. They Improve Analytical Thinking. Correct Conclusion: All Doctors Are Educated. 
• Read Statements Carefully Before Drawing Conclusions. Always Base Your Conclusion Only On The Given Statements.

27. All Cats Are Animals. Some Animals Are Pets. Which Conclusion Definitely Follows?

Ans:

• Only All Cats Are Animals Definitely Follows. It Cannot Be Concluded That All Cats Are Pets. Syllogism Questions Test Logical Thinking. T
• hey Frequently Appear In Aptitude Tests. They Improve Decision-Making Skills. Correct : All Cats Are Animals. 
• Never Assume Extra Information. Practice Improves Accuracy. Logical Conclusions Should Always Be Drawn Without Making Assumptions.

28. A Student Obtained 432 Marks Out Of 540. What Is The Percentage?

Ans:

Use The Formula (Obtained Marks ÷ Total Marks) × 100. The Calculation Is (432 ÷ 540) × 100. The Result Is 80%. Percentage Questions Test Numerical Ability. They Frequently Appear In TCS NQT Exams. They Improve Mental Calculation Skills. Percentage = 80%. The Student Scored 80 Percent Marks. This Reflects Excellent Academic Performance. Regular Practice Makes Percentage Calculations Easier. Percentage Concepts Are Important For Academic And Competitive Examinations.

29. A Number Is Reduced From 500 To 425. What Is The Percentage Decrease?

Ans:

Use The Formula (Decrease ÷ Original Number) × 100. The Decrease Is 75. The Calculation Is (75 ÷ 500) × 100. The Result Is 15%. Percentage Decrease Questions Test Arithmetic Skills. They Frequently Appear In Placement Exams. They Improve Problem-Solving Ability. Percentage Decrease = 15%. The Number Decreased By Fifteen Percent. Understanding Percentage Changes Is Important. Percentage Decrease Is Widely Used In Business And Financial Calculations.

30. A Product With A Marked Price Of ₹2,000 Is Sold After A 25% Discount. What Is The Selling Price?

Ans:

Use The Formula Selling Price = Marked Price − Discount. The Discount Is 25% Of ₹2,000 = ₹500. The Selling Price Is ₹2,000 − ₹500 = ₹1,500. Discount Questions Test Numerical Skills. They Frequently Appear In Aptitude Tests. They Improve Calculation Accuracy. Selling Price = ₹1,500. Always Calculate Discount From The Marked Price. Practice Helps Solve Faster. Discount Calculations Are Common In Shopping And Commercial Transactions.

31. A Shopkeeper Bought A Laptop For ₹40,000 And Sold It For ₹46,000. What Is The Profit Percentage?

Ans:

• Use The Formula (Profit ÷ Cost Price) × 100. The Profit Is ₹6,000. The Calculation Is (6000 ÷ 40000) × 100. The Result Is 15%. Profit Questions Test Arithmetic Ability. 
• They Frequently Appear In TCS NQT. They Improve Numerical Accuracy. Profit Percentage = 15%. The Shopkeeper Earned Fifteen Percent Profit. 
• Learning Profit Formulas Is Essential. Understanding Profit Percentage Helps Make Better Business And Financial Decisions.

32. A Television Was Purchased For ₹30,000 And Sold For ₹27,000. What Is The Loss Percentage?

Use The Formula (Loss ÷ Cost Price) × 100. The Loss Is ₹3,000. The Calculation Is (3000 ÷ 30000) × 100. The Result Is 10%. Loss Questions Test Mathematical Skills. They Frequently Appear In Competitive Exams. They Improve Calculation Speed. Loss Percentage = 10%. The Seller Incurred A Ten Percent Loss. Practice Similar Questions Regularly. Learning Loss Percentage Concepts Helps Evaluate Financial Transactions Accurately.

33. The Ratio Of Men To Women In An Office Is 7:8. If There Are 56 Men, How Many Women Are There?

Ans:

Use The Ratio 7:8. One Part Represents 56 ÷ 7 = 8. Therefore Women = 8 × 8 = 64. Ratio Questions Test Logical Thinking. They Frequently Appear In Placement Tests. They Improve Mathematical Skills. Number Of Women = 64. Ratios Help Compare Quantities Easily. Practice Makes Calculations Quicker. Understanding Ratios Makes Comparison Problems Simple And Accurate.

34. The Ratio Of Two Numbers Is 9:11. If The Smaller Number Is 54, What Is The Larger Number?

Ans:

One Part Represents 54 ÷ 9 = 6. The Larger Number Is 11 × 6 = 66. Ratio And Proportion Questions Test Numerical Ability. They Frequently Appear In Aptitude Exams. They Improve Logical Thinking. Larger Number = 66. Understanding Unit Values Simplifies Ratio Problems. Practice Helps Build Confidence. Ratio Concepts Are Frequently Used In Mathematics And Real-Life Situations.

35. If 10 Workers Complete A Job In 24 Days, How Many Days Will 15 Workers Take?

Ans:

Use The Formula Workers × Days = Constant. The Calculation Is (10 × 24) ÷ 15. The Result Is 16 Days. Time And Work Questions Test Analytical Skills. They Frequently Appear In TCS NQT. They Improve Logical Reasoning. Required Time = 16 Days. Increasing Workers Reduces The Completion Time. Practice Improves Speed. Understanding Work Efficiency Helps Solve Similar Questions With Ease.

36. If 18 Men Finish A Job In 10 Days, How Many Days Will 12 Men Take?

Ans:

• Use The Formula Workers × Days = Constant. The Calculation Is (18 × 10) ÷ 12. The Result Is 15 Days. Time And Work Problems Test Numerical Skills. 
• They Frequently Appear In Competitive Exams. They Improve Problem-Solving Ability. Required Time = 15 Days. 
• Fewer Workers Require More Time. Understanding Inverse Proportion Is Important. Regular Practice Improves Speed And Accuracy In Time And Work Problems.

.

37. A Train Travels 540 Km In 9 Hours. What Is Its Speed?

Ans:

Use The Formula Speed = Distance ÷ Time. The Calculation Is 540 ÷ 9. The Result Is 60 Km/H. Time-Speed-Distance Questions Test Arithmetic Skills. They Frequently Appear In Placement Exams. They Improve Formula Application. Speed = 60 Km/H. Speed Is Expressed In Kilometres Per Hour. Practice Different Speed Problems. Remembering Basic Formulas Helps Solve Questions Quickly During Exams.

38. A Car Travels At 80 Km/H For 5 Hours. What Distance Does It Cover?

Ans:

Use The Formula Distance = Speed × Time. The Calculation Is 80 × 5. The Result Is 400 Km. Distance Questions Test Numerical Ability. They Frequently Appear In TCS NQT. They Improve Calculation Accuracy. Distance = 400 Km. Always Multiply Speed By Time. Practice Helps Improve Accuracy. Correct Unit Conversion Is Important While Solving Distance Problems.

39. Find The Next Number In The Series: 7, 14, 21, 28, 35, ?

Ans:

Each Number Increases By 7. The Next Number Is 35 + 7 = 42. Number Series Questions Test Pattern Recognition Skills. They Frequently Appear In Aptitude Tests. They Improve Logical Thinking. Next Number = 42. Identifying Patterns Quickly Saves Time. Practice Different Types Of Series. Observing The Common Difference Makes Series Questions Easier To Solve.

40. Find The Next Number In The Series: 1, 4, 9, 16, 25, ?

Ans:

The Numbers Are Perfect Squares (1², 2², 3², 4², 5²). The Next Number Is 6² = 36. Number Series Questions Test Observation Skills. They Frequently Appear In Placement Exams. They Improve Pattern Recognition. Next Number = 36. Perfect Square Series Are Common In Aptitude Tests. Learning Common Number Patterns Improves Problem-Solving Speed.

41. If MILK Is Written As NJML, How Is HAND Written?

Ans:

Each Letter Is Shifted Forward By One Alphabet. H → I, A → B, N → O, D → E. Therefore HAND Becomes IBOE. Coding-Decoding Questions Test Logical Reasoning Skills. They Frequently Appear In TCS NQT. They Improve Alphabet Knowledge.  = IBOE. Practice Letter Shifting Techniques Regularly. A Strong Understanding Of Alphabet Sequences Helps Solve Coding Questions Faster.

42. If SUN Is Written As TVO, How Is SKY Written?

Ans:

Each Letter Is Shifted Forward By One Alphabet. S → T, K → L, Y → Z. Therefore SKY Becomes TLZ. Coding-Decoding Questions Test Pattern Recognition Ability. They Frequently Appear In Competitive Exams. They Improve Observation Skills.  = TLZ. Learn Alphabet Positions For Faster s. Coding-Decoding Skills Improve Logical Reasoning And Analytical Thinking.

43. A Rectangle Has A Length Of 10 Cm. Can Its Area Be Calculated?

Ans:

Since All Engineers Are Graduates And All Graduates Are Employees, All Engineers Are Employees. Syllogism Questions Test Logical Reasoning Skills. 

They Frequently Appear In TCS NQT. They Improve Analytical Thinking. Correct Conclusion: All Engineers Are Employees. 

Always Follow The Given Statements Carefully. Practice Improves Logical Accuracy. Avoid Making Assumptions Beyond The Information Provided In The Statements.

44. All Birds Can Fly. A Sparrow Is A Bird. Which Conclusion Follows?

Ans:

Since A Sparrow Is A Bird And All Birds Can Fly, A Sparrow Can Fly. Syllogism Questions Test Deductive Reasoning Skills. They Frequently Appear In Placement Tests. They Improve Decision-Making Ability. Correct Conclusion: A Sparrow Can Fly. Draw Conclusions Only From The Given Statements. Regular Practice Builds Confidence. Logical Thinking Skills Are Essential For Solving Syllogism Questions Correctly.

45. A Student Obtained 378 Marks Out Of 540. What Is The Percentage?

Ans:

Use The Formula (Obtained Marks ÷ Total Marks) × 100. The Calculation Is (378 ÷ 540) × 100. The Result Is 70%. Percentage Questions Test Numerical Ability. They Frequently Appear In TCS NQT Exams. They Improve Mental Calculation Skills. Percentage = 70%. The Student Scored 70 Percent Marks. This Indicates Good Academic Performance. Regular Practice Improves Accuracy And Speed. Mastering Percentage Concepts Helps Solve Academic And Competitive Exam Questions Efficiently.

46. A Shopkeeper Bought A Mobile Phone For ₹15,000 And Sold It For ₹18,000. What Is The Profit Percentage?

Use The Formula (Profit ÷ Cost Price) × 100. The Profit Is ₹3,000. The Calculation Is (3000 ÷ 15000) × 100. The Result Is 20%. Profit And Loss Questions Test Arithmetic Skills. They Frequently Appear In Placement Exams. They Improve Calculation Accuracy. Profit Percentage = 20%. The Shopkeeper Earned A Twenty Percent Profit. Understanding Profit Formulas Is Essential For Aptitude Tests. Profit Percentage Is Widely Used In Business And Financial Calculations.

47. The Ratio Of Boys To Girls Is 8:7. If There Are 56 Boys, How Many Girls Are There?

Ans:

• Use The Ratio 8:7. One Part Represents 56 ÷ 8 = 7. Therefore Girls = 7 × 7 = 49. Ratio And Proportion Questions Test Logical Thinking. 
• They Frequently Appear In TCS NQT. They Improve Numerical Ability. Number Of Girls = 49. Ratios Help Compare Different Quantities Easily. 
• Practice Makes These Problems Simple. Understanding Ratios Helps Solve Comparison Problems Quickly And Accurately.

.

48. If 20 Workers Complete A Job In 18 Days, How Many Days Will 30 Workers Take?

Ans:

Use The Formula Workers × Days = Constant. The Calculation Is (20 × 18) ÷ 30. The Result Is 12 Days. Time And Work Questions Test Analytical Skills. They Frequently Appear In Competitive Exams. They Improve Problem-Solving Ability. Required Time = 12 Days. More Workers Complete The Job Faster. Understanding Inverse Proportion Is Important. Time And Work Concepts Are Essential For Solving Efficiency-Based Problems.

49. A Bus Travels 450 Km In 9 Hours. What Is Its Speed?

Ans:

Use The Formula Speed = Distance ÷ Time. The Calculation Is 450 ÷ 9. The Result Is 50 Km/H. Time-Speed-Distance Questions Test Arithmetic Skills. They Frequently Appear In TCS NQT Exams. They Improve Formula Application. Speed = 50 Km/H. Speed Is Measured In Kilometres Per Hour. Regular Practice Improves Calculation Speed. Remember The Basic Formula To Solve Speed Questions Quickly In Exams.

50. Find The Next Number In The Series: 11, 22, 33, 44, 55, ?

Ans:

Each Number Increases By 11. The Next Number Is 55 + 11 = 66. Number Series Questions Test Pattern Recognition Skills. They Frequently Appear In Aptitude Tests. They Improve Logical Thinking. Next Number = 66. Identifying The Pattern Quickly Saves Time In Exams. Practice Different Types Of Series To Improve Accuracy. Recognizing Common Patterns Helps Solve Series Questions More Efficiently.

51. If All Roses Are Flowers And All Flowers Are Plants, Which Conclusion Is Correct?

Ans:

• Since All Roses Are Flowers And All Flowers Are Plants, It Logically Follows That All Roses Are Plants. Syllogism Questions Test Logical Reasoning And Analytical Thinking. 
• They Frequently Appear In TCS NQT And Other Placement Exams. They Help Candidates Draw Valid Conclusions From Given Statements. Correct : All Roses Are Plants. 
• Always Base Your Conclusion Only On The Given Information. Practice Improves Logical Accuracy. Avoid Making Assumptions Beyond The Statements Provided.

52. Find The Next Letter In The Series: A, C, E, G, ?

Ans:

The Letters Increase By Two Alphabet Positions Each Time. After G, The Next Letter Is I. Letter Series Questions Test Pattern Recognition Skills. They Frequently Appear In Aptitude Tests. They Improve Observation And Logical Thinking.  = I. Identifying Alphabet Patterns Quickly Helps Save Time During Exams. Learning Alphabet Sequences Improves Performance In Reasoning Questions.

53. If CAT Is Coded As 3120, Using A=1, B=2, C=3, What Is The Code For DOG?

Ans:

Assign Each Letter Its Alphabet Position. D = 4, O = 15, G = 7. Therefore The Code Is 4157. Coding-Decoding Questions Test Logical Reasoning And Alphabet Knowledge. They Frequently Appear In TCS NQT Exams. They Improve Analytical Thinking.  = 4157. Learning Alphabet Positions Makes Such Questions Easier. Strong Alphabet Knowledge Helps Solve Coding Questions With Confidence.

54. Ravi Is Taller Than Mohan. Mohan Is Taller Than Arun. Who Is The Tallest?

Ans:

Since Ravi Is Taller Than Mohan And Mohan Is Taller Than Arun, Ravi Is Taller Than Both. Logical Comparison Questions Test Analytical Skills. They Frequently Appear In Placement Tests. They Improve Decision-Making Ability. : Ravi. Compare Each Statement Carefully Before Drawing A Conclusion. Practice Helps Improve Accuracy. Arrange The Given Information Step By Step To Find The Correct .

55. Find The Odd One Out: Apple, Mango, Banana, Carrot.

Ans:

Apple, Mango, And Banana Are Fruits. Carrot Is A Vegetable. Odd One Out Questions Test Classification Skills. They Frequently Appear In Logical Reasoning Sections. They Improve Observation Ability. : Carrot. Identify The Common Property Before Selecting The Different Item. Regular Practice Improves Speed. Careful Observation Helps Identify The Different Item Easily.

56. If Yesterday Was Monday, What Day Will It Be Tomorrow?

Ans:

If Yesterday Was Monday, Then Today Is Tuesday. Therefore Tomorrow Will Be Wednesday. Calendar Questions Test Logical And Sequential Thinking. They Frequently Appear In TCS NQT Exams. They Improve Time Calculation Skills. : Wednesday. Understanding The Order Of Days Helps Solve Such Questions Quickly. Practicing Calendar Questions Improves Accuracy In Time-Based Problems.

57. Find The Next Number In The Series: 3, 6, 12, 24, 48, ?

Ans:

• Each Number Is Multiplied By 2. Therefore The Next Number Is 48 × 2 = 96. Number Series Questions Test Pattern Recognition Skills. 
• They Frequently Appear In Aptitude Exams. They Improve Logical Thinking.  = 96. Multiplication Patterns Are Common In Competitive Exams.
•  Practice Different Series Regularly. Identifying Multiplication Patterns Helps Solve Series Questions Faster.

58. If PEN Is Written As QFO, How Is BOOK Written?

Ans:

Each Letter Is Shifted Forward By One Alphabet. B → C, O → P, O → P, K → L. Therefore BOOK Becomes CPPL. Coding-Decoding Questions Test Pattern Recognition Skills. They Frequently Appear In Placement Exams. They Improve Logical Ability.  = CPPL. Learning Alphabet Sequences Makes Coding Questions Easy. Regular Practice Improves Coding-Decoding Speed And Accuracy.

59. All Teachers Are Educated. Some Educated People Are Writers. Which Conclusion Definitely Follows?

Ans:

The Only Definite Conclusion Is All Teachers Are Educated. It Cannot Be Concluded That All Teachers Are Writers. Syllogism Questions Test Logical Thinking. They Frequently Appear In TCS NQT. They Improve Analytical Skills. Correct : All Teachers Are Educated. Never Assume Information That Is Not Given. Practice Improves Reasoning Accuracy. Always Verify Whether The Conclusion Is Fully Supported By The Statements.

60. A Clock Shows 3:00. What Is The Angle Between The Hour And Minute Hands?

Ans:

At 3:00, The Minute Hand Is At 12 And The Hour Hand Is At 3. The Angle Between Them Is 90 Degrees. Clock Questions Test Logical And Mathematical Skills. They Frequently Appear In Aptitude Exams. They Improve Visualization Ability.  = 90 Degrees. Understanding Clock Angles Helps Solve Similar Questions Quickly. Learning Standard Clock Angles Makes These Questions Easier To .

61. Find The Missing Number: 5, 10, 20, 40, ?, 160.?

Ans:

Each Number Is Multiplied By 2. Therefore The Missing Number Is 80. Number Series Questions Test Logical Pattern Recognition. They Frequently Appear In TCS NQT Exams. They Improve Observation Skills.  = 80. Identifying The Rule Makes Series Questions Easy. Practice Helps Improve Accuracy. Recognizing Multiplication Patterns Helps Solve Number Series Quickly.

62. If EAST Is Coded As 1234, Using The Same Code, What Is The Code For SEAT?

Ans:

Assign The Same Digits: E = 1, A = 2, S = 3, T = 4. Therefore SEAT = 3124. Coding-Decoding Questions Test Memory And Logical Thinking. They Frequently Appear In Placement Exams. They Improve Pattern Recognition Skills.  = 3124. Observe The Given Coding Carefully Before Solving. Careful Observation Of The Coding Pattern Ensures The Correct .

63. Rahul Is Older Than Priya. Priya Is Older Than Neha. Who Is The Youngest?

Ans:

• Since Rahul Is Older Than Priya And Priya Is Older Than Neha, Neha Is The Youngest. Age Comparison Questions Test Logical Reasoning Skills. 
• They Frequently Appear In Competitive Exams. They Improve Decision-Making Ability. : Neha. Compare Each Statement Carefully Before Concluding.
•  Arranging The Given Information In Order Makes Such Questions Easier To Solve.

64. Find The Odd One Out: Square, Rectangle, Circle, Triangle.

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Square, Rectangle, And Triangle Are Polygons With Straight Sides. Circle Has No Straight Sides. Odd One Out Questions Test Classification Skills. They Frequently Appear In Logical Reasoning Tests. They Improve Observation Ability. : Circle. Identify The Common Characteristic Before Selecting The Different One. Classifying Objects Based On Their Properties Improves Logical Thinking Skills..

65. If Today Is Friday, What Day Will It Be After 9 Days?

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Nine Days Means One Week And Two Extra Days. Two Days After Friday Is Sunday. Calendar Questions Test Sequential Thinking. They Frequently Appear In TCS NQT. They Improve Logical Skills. : Sunday. Counting Days Correctly Helps Solve Calendar Questions Quickly. Understanding Weekly Cycles Helps  Calendar Questions Accurately.

66. Find The Next Letter In The Series: Z, X, V, T, ?

Ans:

The Letters Move Backward By Two Positions Each Time. After T, The Next Letter Is R. Letter Series Questions Test Pattern Recognition Skills. They Frequently Appear In Aptitude Tests. They Improve Observation Ability.  = R. Practice Alphabet Series To Improve Speed. Learning Forward And Backward Alphabet Sequences Improves Reasoning Skills.

67. All Cars Have Wheels. My Vehicle Is A Car. Which Conclusion Follows

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Since Every Car Has Wheels And My Vehicle Is A Car, My Vehicle Has Wheels. Syllogism Questions Test Deductive Reasoning Skills. They Frequently Appear In Placement Exams. They Improve Analytical Thinking. Correct : My Vehicle Has Wheels. Draw Conclusions Only From The Given Statements. Logical Conclusions Should Always Be Based On The Given Facts Alone.

68. Find The Missing Number: 2, 6, 12, 20, 30, ?

Ans:

• The Pattern Adds Consecutive Even Numbers (+4, +6, +8, +10). The Next Addition Is +12. Therefore The Missing Number Is 42. Number Series Questions Test Logical Thinking. 
• They Frequently Appear In TCS NQT. They Improve Pattern Recognition Skills.  = 42. Identify The Pattern Carefully Before Solving.
•  Observing Increment Patterns Helps Solve Series Questions More Efficiently.

69. If APPLE Is Written As BQQMF, How Is MANGO Written?

Ans:

Each Letter Is Shifted Forward By One Alphabet. M → N, A → B, N → O, G → H, O → P. Therefore MANGO Becomes NBOHP. Coding-Decoding Questions Test Logical Ability. They Frequently Appear In Competitive Exams. They Improve Alphabet Knowledge.  = NBOHP. Regular Practice Helps Solve Coding Questions Faster. Understanding Letter Shifting Techniques Improves Coding-Decoding Accuracy.

70. All Students Are Learners. Some Learners Are Players. Which Conclusion Definitely Follows?

Ans:

The Only Definite Conclusion Is All Students Are Learners. It Cannot Be Concluded That All Students Are Players. Syllogism Questions Test Logical Reasoning Skills. They Frequently Appear In TCS NQT And Other Placement Tests. They Improve Analytical Thinking And Decision-Making Ability. Correct : All Students Are Learners. Always Draw Conclusions Only From The Given Statements. Regular Practice Improves Accuracy And Confidence. Never Infer Information That Is Not Explicitly Mentioned In The Statements.

71. A Bag Contains 5 Red Balls And 3 Blue Balls. What Is The Probability Of Selecting A Red Ball?

Ans:

• Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. The Number Of Red Balls Is 5 And The Total Number Of Balls Is 8. The Calculation Is 5 ÷ 8. The Result Is 5/8. Probability Questions Test Logical And Mathematical Reasoning Skills. 
• They Frequently Appear In TCS NQT And Other Placement Exams. They Improve Decision-Making And Analytical Thinking. Probability = 5/8.
•  The Chance Of Selecting A Red Ball Is Five Out Of Eight. Practice Helps Solve Probability Questions Quickly. Always Count The Total Number Of Possible Outcomes Correctly Before Calculating Probability.

72. A Fair Coin Is Tossed Once. What Is The Probability Of Getting A Head?

Ans:

Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. A Coin Has Two Possible Outcomes: Head And Tail. The Favorable Outcome Is One Head. The Calculation Is 1 ÷ 2. The Result Is 1/2. Coin Toss Questions Test Basic Probability Concepts. They Frequently Appear In Aptitude Tests. They Improve Logical Thinking. Probability = 1/2. The Chance Of Getting A Head Is Fifty Percent. Understanding Basic Probability Is Essential. A Fair Coin Gives Equal Probability To Both Head And Tail..

73. A Fair Die Is Rolled Once. What Is The Probability Of Getting The Number 4?

Ans:

Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. A Die Has 6 Faces And Only One Face Shows 4. The Calculation Is 1 ÷ 6. The Result Is 1/6. Dice Questions Test Numerical And Logical Skills. They Frequently Appear In TCS NQT Exams. They Improve Analytical Ability. Probability = 1/6. Every Face Of A Fair Die Has An Equal Chance Of Appearing. Practice Makes These Questions Easy. Understanding Equally Likely Outcomes Is Important In Probability Problems.

74. A Box Contains 7 Green Pens And 5 Black Pens. What Is The Probability Of Selecting A Black Pen?

Ans:

• Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. The Number Of Black Pens Is 5 And The Total Number Of Pens Is 12. 
• The Calculation Is 5 ÷ 12. The Result Is 5/12. Probability Questions Test Observation And Calculation Skills.
•  They Frequently Appear In Placement Exams. They Improve Logical Thinking. Probability = 5/12. The Chance Of Selecting A Black Pen Is Five Out Of Twelve. Practice Improves Accuracy. Always Simplify The Probability Fraction Whenever Possible.

75. A Card Is Drawn From A Standard Deck Of 52 Cards. What Is The Probability Of Drawing An Ace?

Ans:

Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. A Standard Deck Contains 4 Aces Out Of 52 Cards. The Calculation Is 4 ÷ 52 = 1 ÷ 13. The Result Is 1/13. Card Probability Questions Test Numerical Ability. They Frequently Appear In Competitive Exams. They Improve Analytical Skills. Probability = 1/13. Understanding Card Distribution Helps Solve Such Questions Faster. Knowing The Composition Of A Standard Deck Is Essential For Card Probability Questions..

76. A Bag Contains 10 White Balls And 15 Black Balls. What Is The Probability Of Selecting A White Ball?

Ans:

Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. The Number Of White Balls Is 10 And The Total Number Of Balls Is 25. The Calculation Is 10 ÷ 25. The Result Is 2/5. Probability Questions Test Mathematical Reasoning Skills. They Frequently Appear In TCS NQT Exams. They Improve Calculation Speed. Probability = 2/5. The Chance Of Selecting A White Ball Is Two Out Of Five. Practice Builds Confidence. Reducing Fractions To Their Simplest Form Makes s Clearer.

77. Two Fair Coins Are Tossed Together. What Is The Probability Of Getting Two Heads?

Ans:

Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. The Possible Outcomes Are HH, HT, TH, TT. Only HH Gives Two Heads. The Calculation Is 1 ÷ 4. The Result Is 1/4. Coin Probability Questions Test Logical Reasoning Skills. They Frequently Appear In Aptitude Tests. They Improve Pattern Recognition. Probability = 1/4. Listing All Possible Outcomes Makes These Questions Easier. Writing All Outcomes Systematically Helps Avoid Mistakes In Probability Calculations.g.

78. A Fair Die Is Rolled Once. What Is The Probability Of Getting An Even Number?

Ans:

• Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. The Even Numbers On A Die Are 2, 4, And 6. There Are 3 Favorable Outcomes Out Of 6 Total Outcomes. 
• The Calculation Is 3 ÷ 6. The Result Is 1/2. Probability Questions Test Numerical And Logical Skills. They Frequently Appear In TCS NQT And Other Placement Exams. 
• They Improve Analytical Thinking. Probability = 1/2. Every Even Number Has An Equal Chance Of Appearing.

79. A Box Contains 6 Red Marbles, 4 Blue Marbles, And 5 Green Marbles. What Is The Probability Of Selecting A Green Marble?

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Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. The Number Of Green Marbles Is 5 And The Total Number Of Marbles Is 15. The Calculation Is 5 ÷ 15. The Result Is 1/3. Probability Questions Test Logical And Mathematical Skills. They Frequently Appear In Placement Exams. They Improve Decision-Making Ability. Probability = 1/3. Always Count The Total Number Of Objects Before Calculating Probability.

80. A Card Is Drawn From A Standard Deck Of 52 Cards. What Is The Probability Of Drawing A King?

Ans:

Use The Formula Probability = Favorable Outcomes ÷ Total Outcomes. A Standard Deck Contains 4 Kings Out Of 52 Cards. The Calculation Is 4 ÷ 52 = 1 ÷ 13. The Result Is 1/13. Card Probability Questions Test Numerical And Logical Reasoning Skills. They Frequently Appear In TCS NQT Exams. They Improve Problem-Solving Ability. Probability = 1/13. Understanding Basic Probability Concepts Helps Solve Competitive Exam Questions Quickly...

81. Simplify: (18 + 12) × 5

Ans:

Use The BODMAS Rule To Solve The Expression. First Add 18 + 12 = 30. Then Multiply 30 × 5 = 150. Simplification Questions Test Arithmetic And Calculation Skills. They Frequently Appear In TCS NQT And Other Placement Exams. They Improve Mental Calculation Speed.  = 150. Always Solve Brackets Before Multiplication. Following BODMAS Helps Avoid Mistakes. Applying BODMAS Correctly Ensures Accurate s In Simplification Problems.

82. Simplify: 36 ÷ 6 + 8 × 4

Ans:

Apply The BODMAS Rule. First Perform Division 36 ÷ 6 = 6. Then Multiply 8 × 4 = 32. Finally Add 6 + 32 = 38. Simplification Questions Test Numerical Ability. They Frequently Appear In Competitive Exams. They Improve Speed And Accuracy.  = 38. Always Perform Division And Multiplication Before Addition. Following The Correct Order Of Operations Prevents Calculation Errors.

83. Simplify: 45 − 15 ÷ 3

Ans:

Apply The BODMAS Rule. First Divide 15 ÷ 3 = 5. Then Subtract 45 − 5 = 40. Simplification Questions Test Basic Arithmetic Skills. They Frequently Appear In TCS NQT Exams. They Improve Logical Thinking.  = 40. Remember That Division Has Higher Priority Than Subtraction. Understanding Operator Priority Helps Solve Arithmetic Questions Faster.

84. Simplify: (25 + 15) ÷ 5

Ans:

First Solve The Bracket 25 + 15 = 40. Then Divide 40 ÷ 5 = 8. Simplification Questions Test Arithmetic Skills. They Frequently Appear In Placement Tests. They Improve Mental Calculation Ability.  = 8. Solving Brackets First Is An Important BODMAS Rule. Mastering BODMAS Improves Accuracy In Competitive Exams.

85. Simplify: 12 × 5 − 18

Ans:

Apply The BODMAS Rule. First Multiply 12 × 5 = 60. Then Subtract 60 − 18 = 42. Simplification Questions Test Numerical Skills. They Frequently Appear In Aptitude Exams. They Improve Calculation Accuracy.  = 42. Always Perform Multiplication Before Subtraction. Regular Practice Helps Solve Simplification Questions More Quickly.

86. In How Many Ways Can 3 Students Be Arranged In A Row?

Ans:

• Use The Formula For Permutation: n!. Here 3! = 3 × 2 × 1 = 6. Permutation Questions Test Logical And Mathematical Reasoning Skills. 
• They Frequently Appear In TCS NQT And Placement Exams. They Improve Counting Techniques.  = 6. 
• Permutations Consider The Order Of Arrangement. Practice Helps Solve These Questions Faster. Remember That Permutations Are Used Whenever The Order Is Important.

87. In How Many Ways Can 4 Books Be Arranged On A Shelf?

Ans:

Use The Formula 4! = 4 × 3 × 2 × 1. The Calculation Gives 24. Permutation Questions Test Arrangement Skills. They Frequently Appear In Competitive Exams. They Improve Logical Thinking.  = 24. The Order Of Books Is Important In Permutation Problems. Learning Factorials Makes These Questions Easier. Factorial Concepts Form The Foundation Of Permutation Problems.

88. In How Many Ways Can 2 Students Be Selected From 5 Students?

Ans:

Combination Questions Use The Formula ⁵C₂ = (5 × 4) ÷ (2 × 1) = 10. Combinations Test Selection Skills. They Frequently Appear In TCS NQT Exams. They Improve Counting And Analytical Ability.  = 10. In Combinations, The Order Of Selection Does Not Matter. Practice Helps Improve Accuracy. Use Combination Whenever Only Selection Is Required.

89. In How Many Ways Can 3 Players Be Selected From 6 Players?

Ans:

• Use The Formula ⁶C₃ = (6 × 5 × 4) ÷ (3 × 2 × 1). The Result Is 20. Combination Questions Test Mathematical Reasoning Skills. 
• They Frequently Appear In Placement Tests. They Improve Logical Thinking.  = 20. Selections Ignore The Order Of Choosing.
•  Practice Makes Combination Questions Easier. Understanding The Difference Between Permutation And Combination Is Very Important.

90. In How Many Ways Can 5 Different People Be Arranged In A Line?

Ans:

Use The Permutation Formula 5! = 5 × 4 × 3 × 2 × 1. The Result Is 120. Permutation Questions Test Arrangement Skills. They Frequently Appear In TCS NQT And Other Competitive Exams. They Improve Logical Reasoning.  = 120. Whenever Order Matters, Use Permutation. Arrangement Problems Always Require Careful Attention To Order.

91. Find Factorial

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92. Fibonacci Series

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93. Prime Number Check

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94. Armstrong Number

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95. Sum Of Digits

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96. Array Rotation (Left Rotation By One)

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97. In How Many Ways Can 2 Books Be Chosen From 4 Books

Ans:

Use The Combination Formula ⁴C₂ = (4 × 3) ÷ (2 × 1). The Result Is 6. Combination Questions Test Selection Skills. They Frequently Appear In Aptitude Tests. They Improve Mathematical Thinking.  = 6. Order Does Not Matter In Combination Problems. Practice Different Selection Questions Regularly. Combination Formulas Help Solve Selection Problems Efficiently.

98. Simplify: 50 − (12 + 8)

Ans:

Apply The BODMAS Rule. First Solve The Bracket 12 + 8 = 20. Then Subtract 50 − 20 = 30. Simplification Questions Test Numerical Ability. They Frequently Appear In Placement Exams. They Improve Arithmetic Accuracy.  = 30. Solving Brackets First Is Always The Correct Approach. Following BODMAS Step By Step Reduces Calculation Mistakes.

99. Pattern Printing

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100. Matrix Addition

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