# Pacesetters Education Centre (Pume Class ) : Mathematics

10 Questions | Total Attempts: 40  Settings  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.

Related Topics
• 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