Pacesetters Education Centre (Pume Class ) : Mathematics

10 Questions | Total Attempts: 40

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Mathematics Quizzes & Trivia

Mathematics can be a rather hard subject for many people. However, most of it is well aided by practice. The Pacesetters Education Centre (pume class) : Mathematics quiz below tests on among other concepts, measures of central tendency. All the best.


Questions and Answers
  • 1. 
    (1) A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then P (A ∪ B) is
    • A. 

      3/5

    • B. 

      0

    • C. 

      1

    • D. 

      5/2

  • 2. 
    A parabola has the origin as its focus and the line x = 2 as the directrix. Then the vertex of the parabola is at
    • A. 

      0, 2)

    • B. 

      (0, 1)

    • C. 

      (1, 0)

    • D. 

      (2, 0)

  • 3. 
    The point diametrically opposite to the point P (1, 0) on the circle x2 + y2 + 2x + 4y − 3 = 0 is
    • A. 

      (− 3, − 4)

    • B. 

      (-3, 4)

    • C. 

      (3, 4)

    • D. 

      (-4, -1)

  • 4. 
    The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has y−intercept − 4. Then a possible value of k is
    • A. 

      1

    • B. 

      -4

    • C. 

      3

    • D. 

      2

  • 5. 
    Let A be a 2 × 2 matrix with real entries. Let I be the 2 × 2 identity matrix. Denote by tr (A), the sum of diagonal entries of A. Assume that A2 = I. Statement −1: If A ≠ I and A ≠ − I, then det A = − 1. Statement −2: If A ≠ I and A ≠ − I, then tr (A) ≠ 0.
    • A. 

      Statement −1 is false, Statement −2 is true

    • B. 

      Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1

    • C. 

      Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.

    • D. 

      Statement − 1 is true, Statement − 2 is false.

  • 6. 
    Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12} be a relation on the set A = {3, 6, 9, 12}. The relation is
    • A. 

      Reflexive and transitive only

    • B. 

      Reflexive only

    • C. 

      An equivalence relation

    • D. 

      Reflexive and symmetric only

  • 7. 
    If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
    • A. 

      22.0

    • B. 

      20.5

    • C. 

      25.5

    • D. 

      24.0

  • 8. 
    Here 2 is read as square Let P be the point (1, 0) and Q a point on the locus y2 = 8x. The locus of mid point of PQ is
    • A. 

      y2 – 4x + 2 = 0

    • B. 

      y2 + 4x + 2 = 0

    • C. 

      x2 + 4y + 2 = 0

    • D. 

      X2 – 4y + 2 = 0

  • 9. 
    The system of equations αx + y + z = α - 1, x + αy + z = α - 1, x + y + αz = α - 1 has no solution, if α is
    • A. 

      -2

    • B. 

      Either – 2 or 1

    • C. 

      Not -2

    • D. 

      1

  • 10. 
    The value of α for which the sum of the squares of the roots of the equation x2 – (a – 2)x – a – 1 = 0 assume the least value is
    • A. 

      1

    • B. 

      0

    • C. 

      3

    • D. 

      2