<\/span><\/h2>\n\n\n\nQuantitative aptitude questions in TCS interviews evaluate your mathematical skills and ability to solve numerical problems under time constraints. This section covers topics like arithmetic, algebra, geometry, and number series. Here are the questions and answers to practice for this section, which will help in your aptitude preparation for TCS.<\/p>\n\n\n\n
Q1. What is the smallest number that is divisible by 8, 12, and 18?<\/h3>\n\n\n\n
Sample Answer: <\/strong>To solve this, calculate the LCM (Least Common Multiple) of the numbers by finding their prime factors. Multiply the highest powers of all prime factors to get the LCM.<\/p>\n\n\n\nPrime factors:\n8 = 2\u00b3\n12 = 2\u00b2 \u00d7 3\n18 = 2 \u00d7 3\u00b2\n LCM = 2\u00b3 \u00d7 3\u00b2 = 72\nHence, the smallest number is 72.\n<\/code><\/pre>\n\n\n\nQ2. The HCF of two numbers is 9, and their LCM is 108. If one number is 27, find the other number.<\/h3>\n\n\n\n
Sample Answer: <\/strong>Use the formula: HCF \u00d7 LCM = Product of the two numbers. Divide the product by the known number to find the other number.<\/p>\n\n\n\n9 \u00d7 108 = 27 \u00d7 x\nx = 36\nThe other number is 36.<\/code><\/pre>\n\n\n\nQ3. Which smallest number must be added to 3456 to make it divisible by 11?<\/h3>\n\n\n\n
Sample Answer: <\/strong>Apply the divisibility rule for 11, which involves subtracting and adding alternate digits of the number. Adjust the total to make it a multiple of 11.<\/p>\n\n\n\n(3 + 5) - (4 + 6) = 8 - 10 = -2\nAdding 2 will make it divisible by 11.\nThe smallest number to add is 2.<\/code><\/pre>\n\n\n\nQ4. Convert 0.625 into a fraction in its simplest form.<\/h3>\n\n\n\n
Sample Answer: <\/strong>Express the decimal as a fraction by writing it over a power of 10 and then simplifying it.<\/p>\n\n\n\n0.625 = 625\/1000\nSimplify by dividing by their greatest common divisor (125):\n625 \u00f7 125 = 5, 1000 \u00f7 125 = 8\nThe fraction is 5\/8.<\/code><\/pre>\n\n\n\nQ5. A rectangle has a length of 12 cm and a width of 8 cm. Find its diagonal length.<\/h3>\n\n\n\n
Sample Answer: <\/strong>Use the Pythagorean theorem to calculate the diagonal. Add the squares of the length and width, then find the square root of the sum.<\/p>\n\n\n\nDiagonal\u00b2 = 12\u00b2 + 8\u00b2 = 144 + 64 = 208\nDiagonal = \u221a208 = 14.42 cm (approx).<\/code><\/pre>\n\n\n\nQ6. The sum of the ages of a father and his son is 50 years. The father’s age is three times that of the son. Find their ages.<\/h3>\n\n\n\n
Sample Answer: <\/strong>Form an equation based on the given relationship and solve for the variable. This problem uses basic algebra to create a linear equation that simplifies solving for unknown variables. By interpreting age relationships correctly, similar age-based questions can be solved quickly.<\/p>\n\n\n\nLet the son's age be x.\nFather's age = 3x\nx + 3x = 50\n4x = 50\nx = 12.5 (son), father's age = 37.5 years.<\/code><\/pre>\n\n\n\nQ7. How many liters of water must be added to 20 liters of milk to make a solution where the ratio of milk to water is 4:1?<\/h3>\n\n\n\n
Sample Answer: <\/strong>Apply the concept of ratios to determine the required quantity. Use the equation (Milk \/ Water) = 4 \/ 1 to solve. This problem relies on setting up proportions correctly and using cross-multiplication to find the unknown. Practicing different mixture problems enhances speed and accuracy for ratio-related questions.<\/p>\n\n\n\n(20 \/ x) = 4 \/ 1\n20 = 4x\nx = 5 liters of water.<\/code><\/pre>\n\n\n\nQ8. The average of five numbers is 26. If one number is excluded, the average becomes 24. Find the excluded number.<\/h3>\n\n\n\n
Sample Answer: <\/strong>Average problems require breaking down the components step by step. In this, you need to find the total sum of the numbers using the average formula. Subtract the total of the remaining numbers to determine the excluded one.<\/p>\n\n\n\nTotal of 5 numbers = 26 \u00d7 5 = 130\nTotal of 4 numbers = 24 \u00d7 4 = 96\nExcluded number = 130 - 96 = 34.<\/code><\/pre>\n\n\n\nQ9. At what time between 3 and 4 o’clock will the hands of the clock overlap?<\/h3>\n\n\n\n
Sample Answer: <\/strong>Clock problems test the understanding of angles and time intervals. In this, you need to calculate the relative speeds of the hour and minute hands to determine the time of overlap.<\/p>\n\n\n\nAt 3 o'clock, the minute hand is at 12, and the hour hand is at 3.\nTo overlap, the minute hand must cover 90 degrees.\nTime = (90 \u00d7 2) \/ 11 = 16.36 minutes (approx).\nThe overlap happens at 3:16.<\/code><\/pre>\n\n\n\nQ10. Solve for x: 5x + 3 = 2x + 18.<\/h3>\n\n\n\n
Sample Answer: <\/strong>Clock problems test the understanding of angles and time intervals. By calculating the angle between the hour and minute hands, you can predict the exact point of overlap. So, you just rearrange the terms to isolate the variable and solve for it.<\/p>\n\n\n\nRearrange: 5x - 2x = 18 - 3\n3x = 15\nx = 5.<\/code><\/pre>\n\n\n\nQ11. The price of a product is increased by 20%. Later, it is reduced by 20%. What is the net change in price?<\/h3>\n\n\n\n
Sample Answer: <\/strong>Understanding percentage increases and decreases requires calculating in steps. This approach helps tackle similar problems in discount or profit calculations. So, start with an assumed base price and calculate changes sequentially to find the net effect.<\/p>\n\n\n\nLet the initial price be 100.\nAfter a 20% increase: 100 + 20 = 120\nAfter a 20% decrease: 120 - (20% of 120) = 120 - 24 = 96\nNet change = 100 - 96 = 4% decrease.<\/code><\/pre>\n\n\n\nQ12. A man spends 75% of his income. If his income increases by 20% but his spending habits remain unchanged, by what percentage does his savings increase?<\/h3>\n\n\n\n
Sample Answer: <\/strong>This problem highlights the importance of isolating parts of income and expenditure to calculate growth in savings effectively. In this, calculate the initial savings and compare them with the new savings after the income increase.<\/p>\n\n\n\nLet income = 100, spending = 75, savings = 25.\nAfter a 20% increase, income = 120, spending = 75.\nNew savings = 120 - 75 = 45\nSavings increase = (45 - 25) \/ 25 \u00d7 100 = 80% increase.<\/code><\/pre>\n\n\n\n<\/span>TCS Verbal Ability Questions with Answers<\/span><\/h2>\n\n\n\nThe verbal ability section tests your command of the English language by focusing on grammar, comprehension, and sentence correction. Strong communication and language skills are essential for performing well in this round. Here are the questions and answers that can strengthen your verbal preparation, helping you in your overall aptitude preparation for TCS.<\/p>\n\n\n\n
Q13. Identify the part of the sentence with an error:<\/h3>\n\n\n\n
\u2018The company have launched a new product yesterday.\u2019<\/strong><\/p>\n\n\n\nSample Answer: <\/strong>The error lies in ‘have launched.’ The correct form is ‘has launched’ because ‘company’ is singular.<\/p>\n\n\n\nCorrected sentence:<\/strong> ‘The company has launched a new product yesterday.’<\/p>\n\n\n\nQ14. Choose the synonym for the word ‘Prudent.’<\/h3>\n\n\n\n
a)<\/strong> Careless
b)<\/strong> Wise
c)<\/strong> Reckless
d)<\/strong> Immature<\/p>\n\n\n\nSample Answer: <\/strong>The correct synonym is b) Wise<\/strong>. <\/p>\n\n\n\n‘Prudent’ means showing good judgment or being cautious.<\/p>\n\n\n\n
Q15. Choose the antonym for ‘Fragile.’<\/h3>\n\n\n\n
a)<\/strong> Brittle
b)<\/strong> Delicate
c)<\/strong> Strong
d)<\/strong> Weak<\/p>\n\n\n\nSample Answer:<\/strong><\/p>\n\n\n\nThe correct antonym is c) Strong<\/strong>. <\/p>\n\n\n\n‘Fragile’ means easily breakable, and ‘strong’ is the opposite.<\/p>\n\n\n\n
Q16. Select the appropriate word to complete the sentence:<\/h3>\n\n\n\n
‘The teacher insisted that everyone ______ their homework on time.’<\/strong><\/p>\n\n\n\na)<\/strong> submits
b)<\/strong> submit
c)<\/strong> submitting
d)<\/strong> submitted<\/p>\n\n\n\nSample Answer: <\/strong>The correct option is b) submit<\/strong>. In the subjunctive mood (expressing a demand or suggestion), the base form of the verb is used.<\/p>\n\n\n\nQ17. Choose the correctly spelled word.<\/h3>\n\n\n\n
a)<\/strong> Accomodate
b)<\/strong> Accommodate
c)<\/strong> Acommodate
d)<\/strong> Accommadate<\/p>\n\n\n\nSample Answer: <\/strong>The correct spelling is b) Accommodate<\/strong>.<\/p>\n\n\n\nQ18. Rearrange the words to form a meaningful sentence:<\/h3>\n\n\n\n
‘the \/ won \/ team \/ trophy \/ the.’<\/strong><\/p>\n\n\n\nSample Answer: <\/strong>The correct sentence is: ‘The team won the trophy.’<\/p>\n\n\n\nQ19. Arrange the words in the proper order to make a meaningful sentence:<\/h3>\n\n\n\n
morning \/ a \/ I \/ run \/ every \/ go \/ for<\/strong><\/p>\n\n\n\nSample Answer: <\/strong>Word ordering tests logical thinking and fluency. Rewriting sentences in different formats can help develop this skill.<\/p>\n\n\n\nSo the correct order:<\/strong> ‘I go for a run every morning.’<\/p>\n\n\n\nQ20. Correct the following sentence:<\/h3>\n\n\n\n
‘He did not knew about the changes in policy.’<\/strong><\/p>\n\n\n\nSample Answer:<\/strong> Sentence correction focuses on identifying verb forms, subject-verb agreement, and grammatical errors.<\/p>\n\n\n\nCorrected sentence:<\/strong> ‘He did not know about the changes in policy.’ <\/p>\n\n\n\nThe auxiliary ‘did’ requires the base form of the verb ‘know.’<\/p>\n\n\n\n
Q21. Choose the correct option to improve the sentence:<\/h3>\n\n\n\n
‘The food was so hot that I could not eat it.’<\/strong><\/p>\n\n\n\na)<\/strong> too hot that I could not eat it
b)<\/strong> hot enough that I could not eat it
c)<\/strong> so hot for eating
d)<\/strong> No improvement<\/p>\n\n\n\nSample Answer: <\/strong>Sentence improvement requires understanding sentence structures and recognizing redundancy or incorrect phrasing.<\/p>\n\n\n\nThe correct answer is d) No improvement<\/strong>. The sentence is grammatically correct and logically complete.<\/p>\n\n\n\nQ22. Complete the sentence:<\/h3>\n\n\n\n
‘If you ______ harder, you will pass the exam.’<\/strong><\/p>\n\n\n\na)<\/strong> studied
b)<\/strong> studies
c)<\/strong> study
d)<\/strong> studying<\/p>\n\n\n\nSample Answer: <\/strong>Completing statements tests knowledge of tenses and conditionals. Recognizing sentence patterns improves accuracy.<\/p>\n\n\n\nThe correct option is c) study<\/strong>. ‘If’ clauses use present tense with future results.<\/p>\n\n\n\nQ23. Rearrange the sentences to form a coherent paragraph:<\/h3>\n\n\n\n
P.<\/strong> It also saves money.
Q. <\/strong>Online shopping is convenient.
R. <\/strong>You can compare prices easily.
S.<\/strong> It allows you to avoid crowds.<\/p>\n\n\n\nSample Answer: <\/strong>Ordering of sentences tests logical flow and coherence. Look for sentence connectors and transitions to arrange the sequence properly.<\/p>\n\n\n\nCorrect order: Q-S-R-P<\/strong>. This sequence logically introduces online shopping, followed by benefits, and concludes with cost-saving.<\/p>\n\n\n\nQ24. One who compiles dictionaries:<\/h3>\n\n\n\n
a)<\/strong> Editor
b)<\/strong> Lexicographer
c)<\/strong> Publisher
d)<\/strong> Cartographer<\/p>\n\n\n\nSample Answer: <\/strong>The correct answer is b) Lexicographer<\/strong>.<\/p>\n\n\n\nQ25. Choose the meaning of the idiom ‘Hit the nail on the head.’<\/h3>\n\n\n\n
a)<\/strong> To make a mistake
b)<\/strong> To describe exactly what is causing a problem
c)<\/strong> To act foolishly
d)<\/strong> To create confusion<\/p>\n\n\n\nSample Answer: <\/strong>Idioms often have figurative meanings. Memorizing idioms with examples can help understand and apply them correctly.<\/p>\n\n\n\nThe correct meaning is b) To describe exactly what is causing a problem<\/strong>.<\/p>\n\n\n\nQ26. Convert to passive voice:<\/h3>\n\n\n\n
‘She is writing a letter.’<\/strong><\/p>\n\n\n\nSample Answer: <\/strong>Changing voice requires shifting the focus of the sentence from subject to object and adjusting verb forms appropriately.<\/p>\n\n\n\nPassive voice: <\/strong>‘A letter is being written by her.’<\/p>\n\n\n\nQ27. Convert to indirect speech:<\/h3>\n\n\n\n
He said, ‘I will visit the doctor tomorrow.’<\/strong><\/p>\n\n\n\nSample Answer: <\/strong>Change of speech involves modifying pronouns, time expressions, and verb tenses correctly to reflect indirect narration.Indirect speech: <\/strong>He said that he would visit the doctor the next day.<\/p>\n\n\n\n<\/span>TCS Logical Reasoning Aptitude Questions And Answers<\/span><\/h2>\n\n\n\nLogical reasoning aptitude questions and answers for TCS are designed to measure your ability to think critically and solve complex problems. This section includes puzzles, patterns, and sequence-based questions that assess your logical decision-making skills. Here are the questions and answers to sharpen your logical reasoning:<\/p>\n\n\n\n
Q28. What is the next number in the series: 2, 6, 12, 20, 30,?<\/h3>\n\n\n\n
a)<\/strong> 36
b)<\/strong> 40
c)<\/strong> 42
d)<\/strong> 56<\/p>\n\n\n\nSample Answer: <\/strong>Number series questions often follow a mathematical pattern. Recognizing the relationship between terms is essential to predict the next number correctly.<\/p>\n\n\n\nThe correct answer is c) 42<\/strong>. The pattern follows n2+nn^2 + nn2+n. For the 6th term: 62+6=426^2 + 6 = 4262+6=42.<\/p>\n\n\n\nQ29. Find the missing term: A1, C3, E5, G7, ?<\/h3>\n\n\n\n
a)<\/strong> H9
b)<\/strong> I9
c)<\/strong> J9
d)<\/strong> K11<\/p>\n\n\n\nSample Answer: <\/strong>In alphanumeric series, both letters and numbers follow a specific pattern. Carefully analyzing the change in each element helps identify the next term.<\/p>\n\n\n\nThe correct answer is b) I9<\/strong>. The letters progress by 2 (A, C, E, G, I), and the numbers increase by 2 (1, 3, 5, 7, 9).<\/p>\n\n\n\nQ30. Which word does not belong to the group?<\/h3>\n\n\n\n
a)<\/strong> Apple
b)<\/strong> Banana
c)<\/strong> Mango
d)<\/strong> Tomato<\/p>\n\n\n\nSample Answer: <\/strong>Classification problems test your ability to detect differences in a group. Look for an element that stands apart based on a defining feature.<\/p>\n\n\n\nThe correct answer is d) Tomato<\/strong>. All others are sweet fruits, while tomato is treated as a vegetable in culinary terms.<\/p>\n\n\n\nQ31. Which of the following is related to the next in the following series?<\/h3>\n\n\n\n
Pen: Write :: Knife :<\/strong><\/p>\n\n\n\na)<\/strong> Cut
b)<\/strong> Slice
c)<\/strong> Pierce