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CTS Aptitude Questions and Answers

a) 71 b) 58 c) 64 d) 79

Solution:

To reach to the solution we just need to find the HCF of (964 – 41), (1238 – 31), (1400 – 51) = 923, 1207, 1349
The HCF of 923, 1207 and 1349 = 71

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Answer: Option a
Solution:

Monday + Tuesday + Wednesday = 37 °C
Tuesday + Wednesday + Thursday = 34 °C
Thursday = 4/5 of Monday
On solving the first two equations and substituting the values from the third condition we get the temperature of Thursday = 36 °C

Ques 3) Find the remainder when (100!)^100 is divided by 23?

a) 3 b) 2 c) 1 d) 0
Answer: d) 0
Solution:
We know that 100! = 100 * 99 * 98 * … * 23 * 22 * 21 * … * 3 * 2 * 1
So when this equation is divided by 23, the remainder is 0.

Ques 4) Identify the odd number from the series: 835, 734, 642, 751, 853, 981, 532

a) 532 b) 853 c) 981 d) 751

Answer: d) 751
Solution:
Looking at the series closely we see that in each number, the difference between the first and last digit of each number is the middle number, except 751

Ques 5) A box contains 15 marbles out of which 4 are white, 5 are red and 6 are blue. Three balls are to be drawn at random from the bag. What is the probability that all of them are red is:

a) 1/22 b) 2/89 c) 2/77 d) 2/91
Answer: d) 2/91
Solution:
The number of ways in which all the three balls would be red = 5C3 / 15C3
= 10/455 = 2/91

Ques 6) The ratio of two numbers is 3:2. If LCM of numbers is 60, then a smaller number is?

a) 10 b) 20 c) 30 d) 40

Answer: a) 10

Explanation:

say, 1st number =3x
2nd number =2x
LCM of numbers = 6x
given LCM = 60
=> x6 = 60
=>x = 10

Ques 7)Two pipes A and B can fill a tank in 10 hours and 30 hours respectively. Due to a leak in the tank, it takes 2.5 hours more to fill the tank. How much time would the leak alone will take to empty the tank?

a) 20 hours b) 25 hours c) 30 hours d) 10 hours
Answer: c) 30 hours

Explanation:

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Let the capacity of the tank be LCM (10, 30) = 30 units
=> Efficiency of pipe A = 30 / 10 = 3 units / hour
=> Efficiency of pipe B = 30 / 30 = 1 units / hour
=> Combined efficiency of both pipes = 4 units / hour
Now, total time is taken by A and B working together to fill the tank if there were no leak = 30 / 4 = 7.5 hours
=> Actual time taken = 7.5 + 2.5 = 10 hours

The tank filled by A and B in these 2.5 hours is the extra work done to compensate the wastage by the leak in 10 hours.
=> 2.5 hours work of A and B together = 10 hours work of the leak
=> 2.5 x 4 = 10 x E, where ‘E’ is the efficiency of the leak.
=> E = 1 unit / hour

Therefore, time is taken by the leak alone to empty the full tank = 30 / 1 = 30 hours.

Ques 8) A train crosses a pole in 10 sec. If the length of the train is 100 meters, what is the speed of the train in Km/hr?

a) 34 b ) 36 c) 30 d) 32

Answer: b) 36

Explanation:

V = 100/10 = 10 m/s = 10*3600/1000 = 36Km/hr

Ques 9) The average of 21 results is 20. The average of 1^st 10 of them is 24 that of the last 10 is 14. the result of 11’th is:.

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a) 42 b) 44 c) 46 d) 40

Answer: d) 40

Explanation:

11’th result = sum of 21 results – the sum of 20 results
= 21 x 20 – (24 x 10 + 14 x 10)
= 420 – (240 + 140)
= 420- 380 = 40

Ques 10) There are forty students in a class out of which there are 14 who are taking Maths and 29 who are taking Computer. What is the probability that a randomly chosen student from this group is taking only the Computer class?

a) 40% b) 55% c) 65% d) 70%
Answer: c)65%
Solution:
There are in total of 40 students. 14 are taking Maths and 29 are taking calculus. Therefore there have to be 3 students who are taking both the classes. So, 29 – 3 = 26 students are taking only Computer. So probability = 26/40 = 13/20 = 65%

• Name: Pankhuri Shrivastav
• College: National Institute of Technology, Tiruchirappalli
• Branch: Electronics and Communication Engineering
• Type of interview: ON-campus Interview

Student Interview

I was very excited when I came to know that TCS is coming to our campus this year for the on-campus recruitment drive. Our TPO instructed us the steps to register for the interview and provided us the necessary information about the company’s eligibility criteria and rounds. I started my preparation for the drive through practice papers available on PrepInsta and referred several competitive books as well.

The eligibility criteria of the company:

• Qualifications: Full-time graduate from the science field
• %Criteria: 60% marks throughout academics
• Backlogs: 1 active backlog accepted
• 2 years academic gap is permissible

Written Test

There were 41 questions in total, and time allotted was 90 minutes. The round was divided into four sections. The first section was English. This round consists of 15 questions, and time allotted was 10 minutes. The questions were to fill in the blanks with the appropriate word or sentence. The second round was of Quantitative aptitude, included 15 questions, and time allotted was 30 minutes. The questions in this round were based on profit & loss, time & work, number, time, speed & distance, blood relation, geometry, and the decimal fraction. The third round was a programming concept, which was containing questions on Iteration, procedural vs. OOP, and Data Structure. 10 questions were there, and 20 minutes were given to complete it. The fourth round was of coding. There was 1 coding question on Java, and 30 minutes were given to complete it.

Technical Interview

This round was basically to check the logical think of the candidate and how much does the candidate know about the basic of his/her subject, any language, data structures, and algorithm. The round was divided into two different interviews. First was the TCS Ninja, and another was TCS Digital. In TCS Ninja they asked me about Cut-off frequency, Op-amp and java related question like does java can do multiple inheritances and some more logical questions.

I cleared the Ninja interview and was selected for TCS Digital interview. In the second interview, I was asked about my last semester project. Then the interviewer asked me some more questions; they were:

• Sort large files using small memory?
• Explain Ionospheric bending?
• What are the advantages and disadvantages of CDMA?

It was a very difficult and tricky round. With much difficulty, I answered the questions, but the interviewer was impressed by my explanations. I was then sent to another room for the next round.

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HR Interview

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The HR interview round was the last round in the process. I was sure that I would be selected because very few students qualified for the final round. I entered the room, and the HR welcomed me with a smile. He asked me general questions on:

• Tell me about yourself?
• Where do you see yourself after five years?
• What is your long term goal?
• How much CTC are you expecting?

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After the HR round, the candidates were sent back, and results were announced after 2 weeks, and after seeing my name in the selected candidate's list, I was very happy.