Exercises
PYQ
PYQ
IIT M QUALIFIER AN EXAM QDQ2 27 Oct

IIT M QUALIFIER AN EXAM QDQ2 27 Oct


27 Oct 2024

Mathematics for Data Science

  1. Instructional MCQ Q: THIS IS QUESTION PAPER FOR THE SUBJECT “QUALIFIER LEVEL : MATHEMATICS FOR DATA SCIENCE I (COMPUTER BASED EXAM)” A: No solution required (instructional).
  2. Instructional MCQ Q: Instructions has been mentioned above. A: No solution required (instructional).
  3. MCQ Q: (No content shown) A: Not enough information to provide a solution.
  4. MCQ Q: (Options: Figure 1, Figure 2, Figure 3, Figure 4) A: Not enough information to provide a solution.
  5. MSQ Q: (6, 14) is an element in R2. Q: R2 is not symmetric. Q: R1 is transitive. Q: R2 is reflexive. A: Not enough information to provide a solution.
  6. MSQ Q: Which of the following options is/are true? A: Not enough information to provide a solution.
  7. Short Answer Q: In a college of 500 students, 285 took Mathematics, 195 took Statistics, 115 took English, 70 took Mathematics and Statistics, 45 took Mathematics and English, 50 took Statistics and English, and 10 took all three courses. What is the total number of students who took none of these three subjects? A: 60 (Using the principle of inclusion-exclusion)[^1].
  8. Short Answer Q: (No question text) A: 37[^1].
  9. Short Answer Q: (No question text) A: -9[^1].
  10. Short Answer Q: (No question text) A: -1[^1].
  11. Short Answer Q: R1 \ R2 A: 6[^1].
  12. Short Answer Q: R2 A: 4[^1].
  13. Short Answer Q: (No question text) A: 14[^1].
  14. Short Answer Q: (No question text) A: 3[^1].

English

  1. Instructional MCQ Q: THIS IS QUESTION PAPER FOR THE SUBJECT “QUALIFIER LEVEL : ENGLISH I (COMPUTER BASED EXAM)” A: No solution required (instructional).

Comprehension: What a Comb Can Tell Us about the History of the Written Word

  1. Where was the ancient comb discovered? A: Lachish[^1].
  2. Edward Maher is a _____ by profession A: Zooarchaeologist[^1].
  3. Microscopic examination of the comb revealed _____ A: Fossilized remains of lice[^1].
  4. The ancient comb is made of _____ A: Ivory[^1].
  5. The comb confirms the presence of elephants in Canaan in 1700 BC. State true or false. A: FALSE (Ivory was imported)[^1].
  6. The inscription on the comb was: A: May this tusk root out the lice of the hair and the beard[^1].
  7. Daniel Vainstub’s occupation is ______. A: To study words that are written or cut into hard materials (Epigraphist)[^1].
  8. What is the relevance of the sentence on the comb? A: It is the oldest-known complete sentence written in a Canaanite script[^1].
  9. Which of the following is a feature of the Canaanite writing system? A: All of these (User friendly, Emerged between 1900 and 1400 B.C., Basis for Western alphabets)[^1].
  10. In this sentence, ‘faintly’ is an example of a/an? A: Adverb[^1].
  11. Which word has the same underlined sound as in “Shape”? A: Charade[^1].
  12. Choose the odd one out: pet, bet, threat. A: Threat[^1].
  13. The vowel sound between b and n in the word bun is the same as: A: That which occurs between r and m in the word crumb[^1].
  14. Choose the word with a “ng” sound: A: Both Song and Hang[^1].
  15. Which among the following words has the same sound as that which is underlined in “pain”? A: Weight[^1].
  16. Identify the sequence of consonant and vowel sounds in the word verdict: A: CVCCVC[^1].
  17. Identify the part of speech of the underlined word. John lives in a red house on the hill. A: Class noun[^1].
  18. Which one of the following words is a noun? A: Book[^1].
  19. Identify the part of speech of the underlined word. They killed him. A: Pronoun[^1].
  20. He was advised ________ the seminar without preparation. A: Not to attend[^1].
  21. Identify the part of speech of the underlined word: She kicked the ball powerfully. A: Verb[^1].
  22. These speakers were the _______ he had ever heard. A: Loudest[^1].
  23. Which of the following is NOT an adjective? A: Foot[^1].
  24. I found my wallet, it was _____ the chair. A: Under[^1].
  25. Identify part of speech of the underlined word: …sat beside his best friend. A: Preposition[^1].
  26. _____ crow entered my kitchen through the window. A: A[^1].
  27. In this sentence, the phrase ‘a nine days wonder’ means ‘something that arouses great interest, but only for a short period.’ A: True[^1].
  28. To discover exact details about something. (phrasal verb) A: Pin down[^1].
  29. After several attempts, she finally _______ how to solve the complex puzzle. A: figured out[^1].
  30. You _____ obtain a refund from the office. (formal permission) A: May[^1].

Vocabulary

  1. Acquire A: Attain[^1].
  2. Banter A: Repartee[^1].
  3. Acquiesce A: Submit[^1].
  4. Bargain A: Haggle[^1].
  5. Atrocity A: Brutality[^1].

Telephonic conversation

  1. HR: Yes. (i)__________ A: May I know who I am speaking to?[^1].
  2. Ramya: (ii)__________ A: Sure, I will send my resume[^1].
  3. Ramya: (iii)__________ A: Can you say that again, please?[^1].
  4. Ramya: (iv)__________ A: Sure, I will send my resume by Monday[^1].
  5. Ramya: (v)__________ A: Thanks for your help[^1].

Computational Thinking

  1. Instructional MCQ A: No solution required (instructional).
  2. Instructional MCQ A: No solution required (instructional).
  3. Let X and Y be two rows in the “Scores” table. We call X and Y partially matching if student X and Y are either from the same city or have the same total marks but not both. Let partialMatch(X, Y) be a procedure to find whether X and Y are matching. Choose the correct implementation of the procedure partialMatch. A: Not enough information to provide a solution.
  4. What will Q represent at the end of execution? A: Number of bills from “Big Bazaar” or “SV Stores” with total bill amount greater than the average total bill amount.[^1].
  5. What will Count represent at the end of execution? A: Number of sentences with at least two longest words[^1].
  6. What will count represent at the end of the execution? A: Number of male students whose Physics marks are greater than Mathematics marks[^1].
  7. What will count represent at the end of the execution of pseudocode? A: Number of students who scored greater than 75 marks in exactly two subjects.[^1].
  8. What will Count represent at the end of execution? A: Number of sentences with equal number of vowels and consonants[^1].
  9. At the end of the execution, A captures the number of non-fictional books which were published between 2005 and 2010 (including 2005 and 2010) and are written in English. Choose the correct code for procedure doSomething to complete the pseudocode. A: Not enough information to provide a solution.
  10. Which of the following pseudocode(s) is/are executed on the ‘Words’ dataset, such that by the end of execution, A stores the maximum letter count of a word that is a noun? A: Not enough information to provide a solution.
  11. Identify all rows with such mistakes. A: Not enough information to provide a solution.
  12. Identify all such mistakes (if any). A: Not enough information to provide a solution.
  13. At the end of the execution, A captures the highest Chemistry marks scored by a female student from Vellore. Choose the correct code fragment(s) to complete the pseudocode. A: Not enough information to provide a solution.
  14. Short Answer Q: The following pseudocode is executed using a dataset similar to the “Words” dataset, based on the following paragraph. … What would be the value of count at the end of the execution of the above pseudocode? A: 4[^1].

Statistics for Data Science

  1. Instructional MCQ A: No solution required (instructional).
  2. Which of the following statements is/are true? A:
  • A sample is the subset of a population.
  • The correlation coefficient measures the strength of the linear association between two numerical variables.[^1]
  1. If a categorical variable is measured on an ordinal scale, which of the following statistical measures is appropriate? A: Median, Mode[^1].
  2. Given bar chart represent the T-Shirt sizes worn by the members of a sports club. Which of the following option(s) is(are) the best way to represent the data? A: Not enough information to provide a solution.
  3. Based on the data collected from an organisation, an analyst made a statement that the average salary of an employee is 50,000 rupees in different organizations in the city. The given statement of analyst is based on which kind of statistical analysis? A: Descriptive statistics[^1].
  4. What is the sample standard deviation of salary (in thousand rupees)? (Enter the answer correct to 2 decimal accuracy) A: 12.22 to 12.28[^1].
  5. What is the mode of the dataset? A: Strawberry[^1].
  6. What percentage of the total votes is represented by Butterscotch and Strawberry ice creams combined? A: 31.81%[^1].
  7. What is the median of the data set represented by the stem-and-leaf plot? A: 28[^1].
  8. Calculate the range of the data set. A: 34[^1].
  9. What is the value of y (frequency of Thai cuisine)? A: 15[^1].
  10. What is the value of x (relative frequency of Mexican cuisine)? (write correct upto 2 decimal places) A: 0.15 to 0.17[^1].
  11. Find the sample covariance between X and Y for the dataset given in Table 2. A: 48[^1].
  12. Find the sample correlation coefficient(r) between X and Y for the dataset given in Table 2. (Write correct upto 3 digits after the decimal) A: 0.921 to 0.925[^1].
  13. In an exam, students’ scores have an interquartile range(IQR) of 20. The teacher decides to first add 5 marks to each student’s score and then multiply each adjusted score by 2. What will be the interquartile range now? A: 40 (IQR is multiplied by 2; adding a constant does not affect IQR)[^1].

If you need step-by-step explanations for any specific question, please specify the question number.

IIT M QUALIFIER AN EXAM QDQ1 27 Oct

More Questions

Profile SVG
Add Chart.js in HUGO 📈 Graded Assignment
Assignments

$$F(\omega) = \int_{-\infty}^{\infty} f(t) e^{-j\omega t} \, dt$$

Profile SVG
Add Chart.js in HUGO 📈 Statistics Graded Assignment

This is an inline equation: $E = mc^2$ and a block equation: $$a^2 + b^2 = c^2$$ Find $x^2$. % KaTeX inline notation Inline notation: % KaTeX inline notation Inline notation: \(\varphi = \dfrac{1+\sqrt5}{2}= 1.6180339887…\)

Profile SVG
IIT M FOUNDATION ET1 EXAM QPF1 S2 30 Previous Year Questions
Apr 2023

Mathematics for Data Science 1. How many edges are there in a graph with 10 vertices each of degree 6? Solution: In any graph, the sum of degrees of all vertices is twice the number of edges. Sum of degrees = 10 × 6 = 60 So, number of edges = 60 / 2 = 301. 2. What is the minimum number of colours required to colour the given graph? Solution: The answer given is 3. This is a typical graph colouring problem, where the chromatic number is 31.

Profile SVG
IIT M FOUNDATION ET1 EXAM QPF2 S2 30 Previous Year Questions
Apr 2023

Mathematics for Data Science 1. How many edges are there in a graph with 10 vertices each of degree 6? Solution: Sum of degrees = 10 × 6 = 60. Each edge is counted twice, so number of edges = 60 ÷ 2 = 30[^1]. 2. What is the minimum number of colours required to colour the graph given below? Solution: The answer is 3. This is the chromatic number, meaning three colours are needed so that no two adjacent vertices share the same colour[^1].

Profile SVG
IIT M QUALIFIER AN EXAM QDQ1 27 Oct 27 Oct 2024
PYQ

Mathematics for Data Science 1️⃣ Polynomial Limits Question Question: Consider the polynomials $ p(x) = x^3 - 3x^2 + 100x - 1 $ and $ q(x) = x^3 + x + 5 $. Which of the following statements are correct? Correct Statement: $ p(x) - q(x) \to -\infty $ as $ x \to \infty $ ✅ Solution with Steps: Find the leading terms: Both $ p(x) $ and $ q(x) $ have $ x^3 $ as the highest degree term. Subtract the polynomials: $ p(x) - q(x) = (x^3 - x^3) + (-3x^2 - 0) + (100x - x) + (-1 - 5) = -3x^2 + 99x - 6 $ Analyze as $ x \to \infty $: The highest degree term is $ -3x^2 $. As $ x \to \infty $, $ -3x^2 \to -\infty $. Conclusion: So, $ p(x) - q(x) \to -\infty $ as $ x \to \infty $. 🎯 Final Answer: Option 2 is correct![^1] 2️⃣ Polynomial Graph Matching Question: Given $ p(x) = 0.3x^3(x^2 - 1)(x - 2)^2(x - 3) $, which figure represents the polynomial $ p(x) $?

Profile SVG
GrPA 1 Basic Collections Week 4 GrPA
Graded

GrPA 1 Basic Collections 👨‍💻 QUESTIONTEST CASESSOLUTION Instructions Question ❓ Implement the below functions as per the docstrings.

Profile SVG
GrPA 1 Dictionary Basics Week 5 GrPA
Graded

GrPA 1 Dictionary Basics 👨‍💻 QUESTIONTEST CASESSOLUTION Instructions Question ❓ 🫵 You are tasked with implementing a series of functions that perform various operations on dictionaries in Python. These functions will manipulate dictionaries that represent fruit prices and perform different operations as specified.

Profile SVG
GrPA 1 Numbers (Arithemetic) Week 1 GrPA
Graded

GrPA 1 Numbers (Arithemetic) Graded 👨‍💻 QUESTIONTEST CASESSOLUTION Change in eligibility criteria to write oppe1 exam: A1>=40/100 AND A2>=40/100 AND A3>=40/100 AND A4>=40/100