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TCS has kick-started its select-campus TCS Digital recruitment process for 2022 pass-outs this year. If you’re appearing for the drive through your colleges, this Ready Reckoner document, covering the Recruitment Process, Test Pattern, Syllabus and Most Recently Asked Questions, will help you.

Content Page TCS Digital Roles and Packages 1

TCS Digital Eligibility Criteria 1 TCS Digital Recruitment Process & Pattern 2

Detailed Syllabus for TCS Digital Recruitment 3 TCS Digital English Questions 4

TCS Digital Quantitative Aptitude Questions 11 TCS Digital Advance Coding Questions 21

TCS Digital Role and Package TCS Digital hires for the Digital Technology Domain, which specializes in technologies such as IoT, AI, ML, Big Data, Virtual Reality, BlockChain, NLP, etc. Packages

• UG - Rs. 7,00,022 + 60,000* • PG - Rs. 7,30,034 + 60,000*

*Additional one-time incentive (upto Rs. 60,000) basis performance in Xplore Alternative pathways to TCS Digital

1. TCS CodeVita Pre-Qualifier - top performers get a direct TCS Digital interview call 2. TCS Ninja - toppers get a chance to upgrade their package through an additional Coding test

TCS Digital Eligibility Criteria

Criteria Detail

Percentage

Min 60% or 6 CGPA throughout academics and an aggregate of 70% or 7 CGPA in the highest qualification, till the semester for which results have been declared.

Backlogs/ Arrears / ATKT

No active backlogs/ arrears/ ATKT at the time of appearing for the process No pending backlogs/ arrears/ ATKT at the time of joining. If anything – to be cleared within the final semester.

Gap/ Break in Education The break should not be due to extended education Break to not exceed 24 months (Permissible only for valid reasons)

Course Type Only full-time courses

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Students with secondary or senior secondary from NIOS are also eligible (if other courses are full-time) Work Experience up to 2 Years

Work Experience Up to 2 Years Age 18 to 28 Years

Allowed Streams for TCS Digital Hiring

Degree Stream

UG/PG

• Computer Science • Information Technology • Software Engineering • Electronics and Communication • Electrical and Electronics • Electronics and Telecommunication • Electronics and Instrumentation • Mechanical • Applied Electronics • Mechatronics

MSc • BSc with Math/Statistics Background

MCA • BCA with Computer Science/ Information Technology/ Software

TCS Digital Recruitment Process

1. Online Test 2. Technical and HR Interview

TCS Digital Online Test Pattern

Section #Qs Duration (In Mins) English 15 10

Quantitative Aptitude 15 40 Advance Coding 2 60

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TCS Digital Online Test Assessment Platform

Assessment Platform Inter-sectional Navigation

Intra-sectional Navigation

Marking Scheme

TCS - iON Not Allowed Allowed Negative mark for

incorrect MCQ response

Note: 1. Calculator is present on-screen. 2. C/C++/Java/Python/Perl languages are allowed for Coding. TCS Digital Online Test Syllabus

Section Syllabus

English

• Para-jumbles • Sentence Completion • Sentence Correction • Cloze Passage • Vocabulary – Synonyms, Antonyms • Tenses • Phrasal Verbs • Prepositions • Forms of Voice and Speech

Quantitative Aptitude

• Geometry • Mensuration • Progressions • Logarithms • Numbers • Probability • Permutation and Combination • Time and Work • Time Speed and Distance • Percentages, SI and CI • Profit and Loss

Advanced Coding

Scenario based questions of following types: • Math-Based • Arrays • Strings • Data Structures • Algorithms Based

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TCS Digital English Questions 1. Select the option that is most nearly OPPOSITE in meaning to the word that is underlined.

I really love that movie since it was very DREADFUL to watch and I like such movies. A. Pleasant B. Atrocious C. Awful D. Beastly Answer: A Explanation: ‘Dreadful’ means ‘Terrible’ The word opposite to ‘Terrible’ is ‘Pleasant’. Atrocious – Brutal Awful – Bad Beastly – Horrible Thus, all the other three options are synonymous to ‘dreadful’

2. Rearrange the six sentences a, b, c, d, e, and f in the proper sequence so as to form a meaningful

paragraph and answer the question below. a. You will probably have to sign a form promising to take care of the books. b. Go to the library and see the clerk become a member. c. When you have chosen the books you wish to take home, you take them to the clerk with the

tickets. d. Then you are usually given two or three tickets with your name and address on them. e. He stamps the book with the date. f. The clerk keeps the tickets until you return the books.

Which would be the FIRST sentence in the paragraph? A. a B. b C. c D. d E. f Answer: B Explanation: The given sentences give the details of procedures to be followed in a library. The first step must be Statement b. (One has to first go to the library) By going with the sequence of events, the first step for becoming a member would be to sign a form promising to take care of the books. So, the second statement would be Statement a. After becoming a member, the membership is acknowledged by giving the tickets. So, the third statement must be Statement d. Going by the sequence, the next set of statements would be of the order: Statement c, Statement e, and Statement f. So, the final order is: badcef Thus, the first sentence in the paragraph is ‘b’.

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3. Directions: The given sentence is divided into parts, select the part which has an error in it as the

correct answer. The Vice-President of India and (a)/ the Vice-Chancellor of this university (b)/ have given (c)/ his consent to join the meeting. (d) A. a B. b C. c D. d Answer: D Explanation: The subject of the sentence is: The Vice-President of India and the Vice-Chancellor of this university This is a plural subject. But the pronoun given is ‘his’ consent, which is a singular pronoun. So, there is a Pronoun Antecedent agreement error in part D of the sentence.

4. Directions: Choose the most appropriate option which can replace the underlined part of the

sentence. A large rise in the number of housing apartments in the coming year should boost new construction dollars by several billion dollars, making the construction industry’s economic health much more robust than five years ago. A. making the construction industry’s economic health much more robust than five years ago B. and make the construction industry’s economic health much more robust than five years ago C. making the construction industry’s economic health much more robust than it was five years ago D. to make the construction industry’s economic health much more robust than five years ago E. in making the construction industry’s economic health much more robust than it as five years ago Answer: C Explanation: Here the units compared are: The construction industry’s economic health and Five years ago We can’t compare an industry’s health with five years ago. An industry’s health can be compared only with how it was five years ago. This specification of the industry’s health five years ago was given in option C and hence is the answer.

5. Fill in the blank.

He wants to stay ______ home on his mother’s birthday. A. at B. in C. on D. with Answer: A Explanation: ‘Home’ is a very specific location. In the case of very specific information, the preposition of place to be used is ‘at’. Hence option A is the correct answer.

6. Choose the correct preposition/ prepositional phrase from the options to fill in the blank.

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Telecare is a telephone support service in the US that provides contact with people who are alone and isolated ____ they are aged or have disabilities. A. in contrast to B. because C. con the other hand D. despite Answer: B Explanation: The part following the blank gives the reason for the action given in the part preceding the blank. In order to specify reasons, the correct preposition to be used is ‘because’. Hence, option B is the answer.

7. Fill in the blank.

Nowadays people ______ text messages instead of phoning. A. send B. will be sending C. sent D. are sending Answer: D Explanation: From the part ‘instead of phoning,’ it is understood that the action specified by the word to be fitted on the blank is in contrast to the earlier conventional action of ‘phoning’. The new actions which are in contrast to conventional actions are to be represented in the present continuous tense. This required verb form is given only in option D and hence the answer.

8. Fill in the blank.

If Jack ______, they would probably win. A. played B. had played C. plays D. was playing Answer: C Explanation: The given sentence is a conditional statement. Here the main clause is given in future tense (would win). So, the conditional clause should be represented is present tense. One such verb form is given only in option C and hence the answer.

9. Fill in the blank.

I wish we could sell the grand piano; it _______ too much space here. A. takes out B. takes up C. takes on D. takes off Answer: B

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Explanation: Take out means Obtain service Take up means Occupy Take on means Become very upset Take off means Succeed The meaning that logically fits the blank is ‘occupy’. The grand piano occupies too much space. Hence the answer is option B, ‘takes up’.

10. Fill in the blank.

The people ought to learn their lesson. They should not _______ all the promises made by politicians. A. fall in B. fall at C. fall for D. fall into Answer: C Explanation: Fall in – Take one’s place in a military formation Fall at – There is no such phrasal verb Fall for – Trust Fall into – To be caught in a trap The meaning that logically fits the blank is ‘trust’. They should not trust all the promises made by politicians. Hence the answer is option C, ‘fall for’. Direction (11-15): In the passage given below, there are blanks. Every blank has four alternative words given in options (A), (B), (C) and (D). Find the word which best suits the place. Information technology training for IT managers and systems analysts may seem superfluous; these ___1__ are usually well-learned in their areas of ____2____ . But, do they understand how a company's technology fits into the bigger picture from a business __3__ ? That's where management training becomes important. Every manager who plays a role in researching, selecting or implementing enterprise technology needs to have a firm___4___ on the basics of emerging technologies, as well as how they serve a larger business purpose, to ensure that technology is being used to the company's best strategic advantage. Information technology training can help managers determine the impact of new technologies and how to ___5___ their business processes.

11. Fill in the 1st blank. A. ideas B. folks C. men D. veterans Answer: B

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Explanation: The statement talks about people, thus ‘folks’ and ‘men’ are two possible choices, but ‘folks’ is gender neutral and thus is more acceptable. So, option B is correct.

12. Fill in the 2nd blank.

A. appeal B. aspiration C. expertise D. comforts Answer: C Explanation: The statement is about the working competencies of the professionals, thus ‘areas of expertise’ is more than appropriate here. So, option C is correct. Appeal means to make a serious, urgent, or heartfelt request. Aspiration means a hope or ambition of achieving something. Comfort means a state of physical ease and freedom from pain or constraint.

13. Fill in the 3rd blank.

A. benefits B. approach C. requirement D. perspective Answer: D Explanation: The statement is questioning the competencies of the professionals according to their suitability to the business scenario. ‘Requirements’ and ‘perspective’ seem appropriate; on close analysis we see that ‘requirements’ is a very closely defined word and does not leave much scope for the abstract stuff; ‘perspective’ is better fitted. So, option D is correct.

14. Fill in the 4th blank.

A. grasp B. reach C. support D. handle Answer: A Explanation: The statement sets the context of gaining advantage through having basic knowledge of the technologies. Hence, from the given options A, ‘grasp’ suits blank the most.

15. Fill in the 5th blank.

A. adapt B. adopt C. adept D. accept

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Answer: A Explanation: The statement talks about the changing scenarios in the business models and also the need for the businesses to get in sync with the contemporary requirements; ‘adapt’ is the perfect word for it. So, option A is correct. Adopt means choose to take up or follow (an idea, method, or course of action) Adept means very skilled or proficient at something

16. Choose the best meaning to the word that is underlined.

I rather like the quaint little house at the end of the street. A. old B. quiet C. haunted D. unusual Answer: D Explanation: Quaint means attractive or unusual because it seems to belong to the past Option A; Old means - that has existed for a long time; connected with past times. Option B; Quiet means - making little or no noise. Option C; Haunted means - (used about something unpleasant or sad) to be always in your mind Option D; Unusual means - interesting because it is different From the given options, Option D matches the meaning of word 'quaint'. Hence Option D, 'Unusual' is the correct option.

17. Choose the best meaning to the word that is underlined.

The football coach had a sympathetic presence, albeit a commanding one. A. although B. furthermore C. because D. not only Answer: A Explanation: The key words here are 'sympathetic' and 'commanding'. These two words, present in two clauses, give contrasting meaning. Hence the albeit which is a conjunction should be replaced by a conjunction which gives contrast. From the option 'Although' fulfil this condition. Thus, option A is the correct answer.

18. Inspect the following sentence. For it, select the option that best expresses the same sentence with

the form of speech changed. He said, "I clean my teeth twice a day." A. He said that he cleaned his teeth twice a day. B. He said that he cleans his teeth twice a day. C. He said that he used to clean his teeth twice a day.

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D. He said that he is used to cleaning his teeth twice a day. Answer: C Explanation: In the given speech, "I clean my teeth twice a day" shows habitual activity. Hence, there will be no change in the tense. As per the rule of pronoun change, 'I' should be changed to 'He' and likewise 'my' should be changed to 'his' Hence the correct in-direct speech would be: He said that he cleans his teeth twice a day. Thus, option C is the correct answer.

19. The given sentence is divided in parts, select the part which has error in it as the correct answer.

Two miles beyond (a)/ that pasture was seen hundreds(b)/ of cattle including(c)/ some lambs.(d) A. a B. b C. c D. d Answer: B Explanation: Rule: Verb must agree with subject in the sentence. If subject is singular, verb should represent the singularity in the sentence. If subject is plural, verb should represent the plurality in the sentence. In the given sentence: Subject - hundreds of cattle (Plural) Verb - was (represent singularity) Hence, part b of the sentence has an error. Thus, option B is the correct answer.

20. Fill in the blank(s).

Most people ______ being disturbed while they _______. A. don’t like / are working B. would like / worked C. like / worked D. don’t like / didn’t like Answer: A Explanation: Word ‘being’ denotes the progressive verb. Hence, the last blank must be in ‘Verb’+’ing’ form. The option which satisfies this condition is option A. Hence, option A is the correct answer.

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TCS Digital Quantitative Aptitude Questions 1. The average age of five persons in a group is 18 years. The group has an additional member, such

that the new average is 25 years less than the age of the new member. What is the age (in years) of the new member? A. 48 B. 38 C. 50 D. 42 Answer: A Explanation: Let us consider the age of new member be x, then new average of the group = x-25 By applying the concepts of weighted average, 18 × 5 + 𝑥

6 = 𝑥 − 25

=> 18 x 5 + x = 6(x-25) => 90 + x = 6x-150 => 90 + 150 = 6x-x => 240 = 5x => x = 48 Hence, the new member age is 48 years.

2. What is the average of all the natural numbers from 31 to 50, both inclusive? A. 39.5 B. 40.5 C. 40 D. 38 Answer: B Explanation: Given number series is 31, 32, 33,.......50 the given number series is in arithmetic progression, The average when series is in A.P = (𝐹𝑖𝑟𝑠𝑡 𝑇𝑒𝑟𝑚 +𝐿𝑎𝑠𝑡 𝑇𝑒𝑟𝑚)

2

So, on applying the same, Average = (31 +50)

2

= 81

2

= 40.5 3. A restaurant serves small pizzas of 6-inch diameter and regular pizzas of 9-inch diameter. If a small

pizza is priced at ₹200, then what is a fair price for a regular pizza of the same type? A. ₹450 B. ₹350 C. ₹300 D. ₹400 Answer: A

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Explanation: Considering the cost is directly proportional to the area of pizza. Area of small pizza : Area of regular pizza, = 𝜋62: 𝜋92 = 36 : 81 = 4:9 if 4x = 200 x = 50 Then, cost of regular pizza = 9x = 9×50 = ₹450.

4. While presenting the data in the form of a positive number, I committed a mistake by mentioning the

cube of the number. If the error due to this mistake was 800%, what was the number? A. 2 B. 4 C. 5 D. 3 Answer: D Explanation: Let's consider the correct no as a then cube of it will be a3 Given that error = 800% Which can be calculated as 𝐷𝑖𝑓𝑓𝑟𝑒𝑛𝑐𝑒 𝑜𝑓 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒𝑠

𝐴𝑐𝑡𝑢𝑎𝑙 𝑉𝑎𝑙𝑢𝑒× 100

𝑎3−𝑎

𝑎× 100 = 800/100

=> a3-a = 8a => a3 = 9a => a2 = 9 => a = 3

5. A retailer gives a discount of 20% on an item, and yet makes a profit of 10%. What is the ratio of the cost price to the list price? A. 7 : 12 B. 8 : 11 C. 4 : 5 D. 1 : 2 Answer: B Explanation: Let us consider C.P. = 100 Then, S.P. = C.P. + P%(C.P.) S.P. = 100 + 10%(100) S.P. = 110….(i) Let’s assume M.P = x, We know that, M.P. = S.P. + D%(M.P.) x = S.P+20%(x) x - 0.2x = S.P

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0.8x = S.P. ….(ii) Equating both equations (i) & (ii) 0.8x = 110 x = 110/0.8 x = 1100/8 C.P : M.P = 100/(1100/8) C.P. : M.P. = 800/1100 C.P. : M.P. = 8/11 i.e. 8 : 11

6. X goes to the office by driving at 5/7 times of his usual speed. If he normally takes half an hour to

reach his office, by how many minutes will he be late? A. 12 B. 8 C. 10.5 D. 13.5 Answer: A Explanation: Let us consider usual speed as s then time taken as t, given that he is going to office 5/7 of usual speed so now, Speed = 5/7 s, We know that, speed is inversely proportional to time so now time taken to reach office with 5/7s Speed = 7/5 t New time = 7/5 t = (5/5)t+ (2/5)t (given t = 30 mins) New time = t+(2/5)t , t is the usual time so delay time = (2/5)t Delay time = (2/5) x 30 = 2×6 = 12 minutes.

7. A set of mugs consists of 5 plastic mugs each of a different design and 2 glass mugs each of a

different design. In how many ways can these 7 mugs be arranged in a row if the glass mugs are separated from each other? A. 4320 B. 1440 C. 3600 D. 5040 Answer: C Explanation: No. of ways of arranging 7 mugs with 2 glass mugs separated = Total ways of arranging 7 mugs - Total no. of arranging 2 glass mugs together Total no. of ways of arranging 7 mugs = 7! = 5040 No. of ways of arranging 2 glass mugs together = G G _ _ _ _ _ _ or _ G G _ _ _ _and so on. = 6! × 2 ( internally we can arrange two glass in 2! ways=2) = 720×2 = 1440 So, no. of ways of arranging 7 mugs with 2 glass mugs separated = 5040-1440 = 3600.

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8. P is five times as efficient as Q in respect of doing work. Together, they complete it in 20 days. In

how many days can P alone do it? A. 26 B. 24 C. 25 D. 30 Answer: B Explanation: Considering efficiency of Q=1 unit/day Then, efficiency of P = 5 × efficiency of Q = 5 × 1 = 5units/day Given that, together they can complete the work in 20 days. By applying the man days concept, N × D = W Total work = (1 + 5) × 20 = 120 units. No. of days P require to complete the work alone = Total work / Efficiency of P Time taken by P to complete the work = 120/5 = 24 days.

9. Apples cost L rupees per kilogram for the first 30 kilograms and Q rupees per kilogram for each

additional kilogram. If the price paid for 33 kilograms of apples is Rs. 1167 and for 36 kilograms of apples is Rs. 1284, then the cost of the first 10 kilograms of apples is: A. Rs. 117 B. Rs. 1053 C. Rs. 350 D. Rs. 281 Answer: C Explanation: Cost of 33 kilograms of apples = Rs. 1167 Cost of 36 kilograms of apples = Rs. 1284 3 kilograms of apples cost (after 30kg) = 1284 – 1167 = Rs. 117 Cost of 30 kilograms of apples = 1167 – 117 = Rs. 1050 Cost of 10 kilograms of apples = (1050/30) x 10 Cost of 10 kilograms of apples = Rs. 350

10. The king’s summer house is being rewired. The house has 11 rooms. To avoid wires getting enlarged and creating short circuits, the electricians have been asked to observe the following rules.

• Room 1 must be rewired before rooms 3 and 4. • Room 2 must be rewired before room 6. • Room 3 must be rewired before room 5. • Room 5 must be rewired before rooms 8 and 9. • Room 6 must be rewired before room 7. • Room 7 must be rewired before room 5. • Room 8 must be rewired before room 10. • Room 9 must be rewired before room 11.

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It takes one full day to rewire a room. There are enough electricians to rewire as many rooms as can be rewired in parallel, keeping in mind the constraints above. What is the minimum number of days required to complete the job? A. 5 B. 6 C. 7 D. 8 Answer: B Explanation: From the given data room 2 should be rewired before room 6 which should be rewired before room 7 which in turn should be rewired before 5. Thus, the following order is followed: 2 → 6 → 7 → 5 For the number of days to complete the job to be minimum, the number of rooms rewired on a particular day should be as maximum as possible. As room 5 should be rewired before rooms 8 and 9, on the day immediately after rewiring room 5, rooms 8 and 9 can be rewired. Thus, we get the order as: 2 → 6 → 7 → 5 → 8, 9 Rooms 10 and 11 can be rewired only after rewiring rooms 8 and 9 respectively. As rooms 8 and 9 are rewired as per the above order, on the immediate next day rooms 10 and 11 can be rewired. Thus, we get the order as: 2 → 6 → 7 → 5 → 8, 9 → 10, 11 If we consider the remaining rooms 1, 3 and 4, given that room 1 should be rewired before rooms 3 and 4. Also room 3 should be rewired before room 5. So, we get the following possible orders: 2 → 6, 1 → 7, 3, 4 → 5 → 8, 9 → 10, 11 (or) 2, 1 → 6 → 7, 3, 4 → 5 → 8, 9 → 10, 11 (or) 2, 1 → 6, 3, 4 → 7 → 5 → 8, 9 → 10, 11 (or) 2, 1 → 6, 3 → 7, 4 → 5 → 8, 9 → 10, 11 (or) 2, 1 → 6, 4 → 7, 3 → 5 → 8, 9 → 10, 11 In all the above possibilities we have the minimum possible number of days to complete the job as 6 days

11. In case of a transaction, there was a loss of 18.75%. What was the ratio of the cost price to the selling price? A. 4:3 B. 8:5 C. 32:25 D. 16:13 Answer: D Explanation: Let’s assume C.P. = Rs.100,

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Given that loss occurred is 18.75% So, S.P. = C.P. - L%(C.P) S.P. = 100 - 18.75%(100) S.P. = 100-18.75 S.P. = 81.25 C.P : S.P = 100/81.25 = 100×100/8125 = 4×4/13 = 16/13 C.P. : S.P.= 16:13

12. A sum of ₹10,00,000 was invested in a scheme where it got compounded annually and the sum

increased to ₹11,06,704 in 2 years. What is the rate of interest? A. 5.2% B. 5.4% C. 4.8% D. 4.4% Answer: A Explanation: Given P = 10,00,000, n = 2 years, A = 11,06,704, r = ?

As mentioned, compounded annually amount in 𝐴 = 𝑃 (1 + 𝑟

100)

𝑛

Substituting the known values,

11,06,704 = 10,00,000 (1 + 𝑟

100)

2

By solving the equation with trial-and-error method, Substitute option A, r = 5.2%

11,06,704 = 10,00,000 (1 + 5.2

100)

2

11,06,704 = 10,00,000 (105.2

100)

2

11,06,704 = 100×11067.04 11,06,704 = 11,06,704 ∴L.H.S = R.H.S Hence, Option A is the correct answer. 13. Mita and Geeta jointly start a small business Mita invests ₹15,000, whereas Geeta invests ₹10,000.

After 2 months, Mita withdrew ₹2,500 from her investment in the business. After 8 more months, Mita again withdrew ₹2,500. Geeta does not withdraw any money in 1 year. After 1 year, they make a profit of ₹8,100 from their business. If they want to share this profit in the ratio of their money in the business, then how much money, in ₹, should Mita get as her share of the profit? A. ₹4400 B. ₹4200 C. ₹4500 D. ₹4300 Answer: C Explanation:

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Mita’s Investment

Gita’s Investment

Duration (In Months) Explanation

15,000 10,000 2 For the 2 months none of them withdrew their money

12,000 10,000 8

After 2 months Mita withdrew amount 2,500. So, balance with Mita would be

15,000 – 2,500 = 12,500 And amount with Gita will remain same.

10,000 10,000 2

After 8 months Mita withdrew 2,500 again. So, balance with Mita would be

12,500 – 2,500 = 10,000 And amount with Gita will remain same.

When duration and investment are different, the ratio of profit is calculated as: The ratio of product of, Duration × Investment On applying the same, Mita’s Profit : Geeta’s Profit = (15,000 × 2 + 12,500 × 8 + 10,000 × 2) : (10,000 × 12) Mita’s Profit : Geeta’s Profit =(30,000 + 1,00,000+20,000) : 1,20,000 Mita’s Profit : Geeta’s Profit = 1,50,000 : 1,20,000 Mita’s Profit : Geeta’s Profit = 5:4 Given, total profit = 8,100 which should be divided in 9x parts 9x = 81,000 x = 900 So, Mita should get 5x as her share = 5 × 900 = 4,500

14. A sum invested at simple interest amounts to ₹18375 and ₹20125 in 5 and 7 years, respectively.

What was the interest (in ₹) earned in 1 year? A. 950 B. 925 C. 875 D. 975 Answer: C Explanation: Given that, S.I. for 5 years = 18,375 And S.I. for 7 years = 20,125 Different in no. of years is 2 years and difference in interest = 20,125 - 18,375 = 1,750 We know that, simple interest will be same for all years hence interest for 1 year = 1,750/2 So, interest for 1 year = Rs.875

15. I asked my daughter how many students are there in her class. She said it is equal to the sum of 3

consecutive natural numbers. Moreover, it is also equal to the sum of the two natural numbers following those 3 consecutive natural numbers. What is the answer to my question? A. 15 B. 16

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C. 14 D. 17 Answer: A Explanation: Let us consider those three consecutive numbers as n-1, n, n+1 and the total no of students be x, Given that sum of these 3 consecutives is equal to sum of next 2 consecutive numbers are n+2, n+3 So, (n - 1) + n + (n + 1) = n + 2 + n + 3 ⇒ 3n = 2n + 5 ⇒ n = 5 If n = 5, the three consecutive numbers will be, n-1 = 5-1 = 4, n= 5, n+1 = 5+1 = 6 Therefore, no. of students in the class = 4+5+6 = 15.

16. You want to pick two distinct numbers from the set {1, 2, 3, 4}. In how many ways can you do this

so that the product is even? A. 5 B. 6 C. 4 D. 8 Answer: A Explanation: We know that, product of 2 even numbers = Even And product of even and odd = Even, Following the same from the given set {1, 2, 3, 4} All the possible combinations to get a product of 2 numbers as even as: 1 × 2, 1 × 4, 2 × 3, 2 × 4, 3 × 4 (excluding the mirror pairs.) = 5 ways.

17. Find the number of different ways in which the 8 letters of the word STACCATO can be arranged in a sequence if the first letter is O. A. 2570 B. 5040 C. 630 D. 24 Answer: C Explanation: If the 1st letter is O the O _ _ _ _ _ _ The remaining 7 blanks can be filled in 7! Ways but among those 7 letters there are repetitions of 3 letters(T, A, C) for 2 times each. So, The remaining 7 letters can be arranged in 7!/(2!×2!×2!) = 5040/(2×2×2) = 2520/(2×2) = 1260/2 = 630

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Hence, the correct answer is Option C. 18. A valuable sword belonging to the Grand King was stolen, and the three suspects were Ibn, Hasan

and Abu. Ibn claimed that Hasan stole it, and Hasan claimed that Abu stole it. It was not clear that one of them stole it, but it was later learnt that no innocent person had lied. It was also learnt that the sword was stolen by only one person. Who stole the sword? A. Hasan B. Abu C. Ibn D. None of these Answer: A Explanation: Given that “no innocent person had lied”, Ibn and Hasan made the claims. If lbn is the culprit then he must be lying but then why is Hasan lying? Our assumption of Ibn as the culprit is wrong. Now, let us assume Abu as the culprit, both Hasan and Ibn must be pointing towards the same person because they both must be telling the truth. So, our assumption of Abu being the culprit is also wrong. Assuming Hasan is the culprit, he is lying and Ibn is pointing towards Hasan as Ibn is innocent.

19. Eesha’s father was 34 years of age when she was born. Shashank (younger brother of Eesha), is 13 years old and he is very proud of the fact that he is as tall as Eesha, even though he is three years younger than her. Eesha’s mother, who is shorter than Eesha was only 29 when Shashank was born. What is the sum of the ages of Eesha’s parents now? A. 92 years B. 76 years C. 66 years D. 89 years Answer: A Explanation: Age difference of Eesha and her father = 34 Age difference of Shashank and his mother = 29 Eesha’s current age = Shashank’s age + 3 Eesha’s current age = 16 Eesha’s father’s age = 34 + 16 = 50 Eesha’s mother’s age = 13 + 29 = 42 Sum of parents ages = 50 + 42 = 92 years

20. A 70-foot pole stands vertically in a horizontal plane supported by three 490 foot wires, all attached

to the top of the pole, pulled up and anchored to three equally spaced points in the plane. How many feet apart are any two of those anchor points? A. 740 B. 840 C. 960

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D. 1024 Answer: B Explanation:

The wires will be equally space at the circumference of a circle in the plane as shown in the figure above. The three points will form an equilateral triangle, with the sides of the triangle equal to the shortest distance between the points. Let the side of the triangle be ‘a’. ‘r’ is the radius of the circum-circle of the given triangle Thus, a = √3 r ---(1) Now, 4902 = r2 + 702 r2= 702(72 – 1) r2 = 702(48) r = 70(4√3) = 280√3, putting in (1) a = √3 x 280√3 a = 840 ft Hence, the distance between the points is 840 ft.

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TCS Digital Advance Coding Questions

1. Hack the money You are a bank account hacker. Initially you have 1 rupee in your account, and you want exactly N rupees in your account. You wrote two hacks, First hack can multiply the amount of money you own by 10, while the second can multiply it by 20. These hacks can be used any number of time. Can you achieve the desired amount N using these hacks? Constraints 1<=T<=100 1<=N<=1012 Input: The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows. The first and only line of each test case contains a single integer N. Output: For each test case, print a single line containing the string "Yes" if you can make exactly N rupees or "No" otherwise. Sample Input: 5 1 2 10 25 200 Output: Yes No Yes No Yes Explanation: In the last case hacker can get Rs. 200 by first using 10x hack and then using 20x hack once. 1 -> 10 -> 200

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Test Cases:

S.No. Input Output

Test Case 1

5 1 2

10 25

200

Yes No Yes No Yes

Test Case 2

3 101 52

124

No No No

Test Case 3

5 1820 513 450 884

2000

No No No No Yes

Test Case 4 2

2000 3000

Yes No

Test Case 5

3 1

10 200

Yes Yes Yes

Test Case 6 2

20 200

Yes Yes

Test Case 7

5 2000 200

2 10 1

Yes Yes No Yes Yes

Test Case 8 2

20 10000

Yes Yes

Test Case 9 1

1001 No

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Code Solution in C++

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2. Lowest Common Ancestor Write a program to find a common ancestor of a given two numbers in the tree. Let T be the root of a tree. The lowest common ancestor between two nodes n1 and n2 is defined as the lowest node in T. Which has both n1 and n2 as descendants (where we allow a node to be a descendant of itself). The LCA of n1 and n2 in T is the shared ancestor of n1 and n2, which is located farthest from the root. Computation of the Lowest common ancestor is useful. For instance, as part of a procedure for determining the distance between the pairs of a node in a tree. The distance from n1 to n2 can be computed as a distance from a root to n1. Plus, the distance from a root to n2. Later, subtract two times the distance from a root to their lowest common ancestor. Format: Input: 6 3 1 4 2 -1 3 6 Output: 6 Test Cases:

S.No. Input Output

Test Case 1 5 3 7 2 4 6 8 -1

2 4 3

Test Case 2 6 3 1 4 2 -1 3 6

6

Test Case 3 20 8 4 12 10 14 22 -1 4 12

8

Test Case 4 20 8 4 12 10 14 22 -1

10 14 12

Test Case 5 20 8 4 12 10 14 22 -1

10 22 20

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Code Solution in C++

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3. Robot Move A Robot wants to move through a cave grid of size M x N. (M- Rows N- Columns). It starts from (0,0) and destination is (M-1,N-1). It can only move right or down. Calculate the total number of ways robot can reach the destination. Sample Input: 5 5 Output: 70 Test Cases:

S.No. Input Output

Test Case 1 5 5 70

Test Case 2 10 10 48620

Test Case 3 2 5

5

Test Case 4 3 3

6

Test Case 5 4 4 20

Test Case 6 6 7 462

Test Case 7 6 6

252

Test Case 8 15 15

40116600

Test Case 9 9 9

12870

Test Case 10 11 11 184756

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Code Solution in C++

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4. Nearest Prime Joy is a hacker at hackerclub and he got a new problem on prime numbers. The problem states that given an integer N find the nearest prime number to N. If multiple answer is possible then output the smallest one of them. There are T number of test cases. 1<=N<106 1<=T<=2*106 Input: First line of input contains an Integer T denoting the number of test cases. Next each of the T lines contain one integer N. Output: Output the nearest prime number possible to N in a new line Sample Input: 3 51 12 65 Output: 53 11 67 Test Cases:

S.No. Input Output

Test Case 1

3 51 12 65

53 11 67

Test Case 2 2

452 526

449 523

Test Case 3

5 1425 8521 456 254

1000

1423 8521 457 251 997

Test Case 4 1 53246

53239

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Test Case 5

3 14 25 32

13 23 31

Test Case 6

6 52 45 63 98 78 32

53 43 61 97 79 31

Test Case 7

4 752

2365 8963

6

751 2371 8963

5

Test Case 8 1

99999 100003

Test Case 9

5 5 6 9 8 7

5 5 7 7 7

Test Case 10 1

555 557

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Code Solution in C++

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5. Permutations - All of them "I'm not a fan of having kids memorize formulas, and I'm even less of a fan of pushing them to learn those formulas," says Mr. John, 7th grade Math teacher. Maybe he has got a point. He believes in teaching the logic rather than the formula. Anyway, we aren't here to weigh/debate about his opinions. All we gotta do is help Mr. John and his students by writing an algorithm that can calculate & print all the permutations of a given number in strictly sorted order. Remember, Mr. John is gonna use your algorithm to demonstrate permutations in his next class. Input Format: The input consists of a string Output Format: Print all the permutations of the given string Refer the sample output for formatting Sample Input: abc Sample Output: abc acb bac bca cab cba Test Cases:

S.No. Input Output

Test Case 1 abc

abc acb bac bca cab cba

Test Case 2 abcd

abcd abdc acbd acdb adbc adcb bacd badc

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bcad bcda bdac bdca cabd cadb cbad cbda cdab cdba dabc dacb dbac dbca dcab dcba

Test Case 3 123

123 132 213 231 312 321

Test Case 4 12 12 21

Test Case 5 a a

Test Case 6 eat

aet ate eat eta tae tea

Test Case 7 to ot to

Test Case 8 hel

ehl elh hel hle leh lhe

Test Case 9 cde

cde ced dce dec ecd

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edc Test Case 10 s s

Code Solution in C++

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