Data Science and Artificial Intelligence Quiz Quiz

Test your knowledge with this 15-question quiz based on GATE Data Science u0026 Artificial Intelligence (General Aptitude) topics. Challenge yourself on critical reasoning, mathematics, logic, and language skills relevant for data science, artificial intelligence, and aptitude test preparation.

1. Analogy Completion

   Courage is to Bravery as Yearning is to which of the following?

   1. Yelling
   2. Yawning
   3. Longing
   4. Glaring

2. Grammar Completion

   We tennis in the lawn when it suddenly started to rain. Select the most appropriate option to complete the sentence.

   1. have been playing
   2. could be playing
   3. had been playing
   4. would have been playing

3. Image Analysis

   Given a 4x4 matrix of pixel intensities, how many pixels have a value U ≤ 4 if the matrix is: 0 1 0 2, 4 7 3 3, 5 5 4 4, 6 7 3 2?

   1. 11
   2. 3
   3. 9
   4. 8

4. Logical Reasoning with Symbols

   In a figure with rectangle, triangle, and ellipse labeled 1, 2, and 3, respectively, which is the correct combination of P, Q, and R among the following options?

   1. P=3; Q=6; R=6
   2. P=5; Q=6; R=3
   3. P=6; Q=5; R=3
   4. P=5; Q=3; R=6

5. Rectangle Properties

   If a rectangle has length L and width W, where L u003E W, and the width is increased by 10%, which statement is correct for all values of L and W?

   1. Perimeter increases by 10%.
   2. The rectangle becomes a square.
   3. Area increases by 10%.
   4. Length of the diagonals increases by 10%.

6. Matching Statements

   Match the following: P. This house is in a mess. Q. I am not happy with the marks given to me. R. Politics is a subject I avoid talking about. S. I don’t know what this word means. Choose the correct combination of responses.

   1. P – 2; Q – 3; R – 1; S – 4
   2. P – 1; Q – 2; R – 4; S – 3
   3. P – 4; Q – 1; R – 2; S – 3
   4. P – 3; Q – 4; R – 1; S – 2

7. Function and Age Reasoning

   Suppose weight as a function of age increases up to 50 years, then decreases, and two brothers share this function with ages a₁ u003C a₂. When they have the same weight, which statement is correct about their ages?

   1. a₁ u003C a u003C 50
   2. a₁ u003C 50 u003C a₂
   3. 50 u003C a u003C a₂
   4. Either a₁ = 50 or a₂ = 50

8. Geometric Construction

   A regular dodecagon is inscribed in a circle of radius r cm. If all triangles are used to form squares of side d cm, how many squares can be formed and how many triangles are required per square?

   1. 3:4
   2. 3:3
   3. 3:2
   4. 4:3

9. Algebraic Equations

   If 3 × 2^x = 27 × 9, what is the value of (2^x) / (2^2)?

   1. 2^0
   2. 2^3
   3. 2^(-1)
   4. 2^15

10. Statistics: Average Calculation

    Given that Dr. Gita earns ₹1000 × (X − 0.2) per shift and the number of patients per shift are as follows: 10 shifts with 5 patients, 20 with 6, 30 with 7, and 40 with 8, what is the average earning per shift over 100 shifts?

    1. 6,100
    2. 6,000
    3. 6,500
    4. 6,300

11. Expectation Properties

    Suppose X and Y are random variables and E[X|Y] denotes the conditional expectation. Then what is E[E[X|Y]] equal to?

    1. E[X|Y]
    2. E[Y]
    3. E[X]
    4. E[Y|X]

12. Algorithm Complexity

    What is the order of the number of additions and multiplications needed to perform Gaussian elimination on an n × n upper triangular matrix?

    1. O(n⁴)
    2. O(n³)
    3. O(n²)
    4. O(n)

13. Row Sum Properties

    If a square matrix A has the property that the sum of the elements in each row is 1, and B = A³ – 2A² + A, what is the sum of the elements in each row of B?

    1. 1
    2. 2
    3. 0
    4. 3

14. Probability: Coin Toss

    If a fair coin is tossed three times, what is the probability of getting at least two heads?

    1. 3/8
    2. 1/2
    3. 1/4
    4. 7/8

15. Combinatorics: Arrangements

    In how many ways can the letters of the word 'DATA' be arranged such that no two identical letters are together?

    1. 8
    2. 18
    3. 12
    4. 6