7 Common Causes of Joint Pain in Seniors

 

10th Class Board Examination - Mathematics MCQs

1. The HCF (Highest Common Factor) of 96 and 404 is:

A) 2

B) 4

C) 6

D) 8

2. If $\alpha$ and $\beta$ are the zeroes of the polynomial $p(x) = x^2 - 5x + 6$, then the value of $\alpha + \beta$ is:

A) -5

B) 5

C) 6

D) -6

3. The pair of linear equations $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$ have:

A) A unique solution

B) Exactly two solutions

C) Infinitely many solutions

D) No solution

4. The discriminant of the quadratic equation $2x^2 - 4x + 3 = 0$ is:

A) -8

B) 8

C) 4

D) -4

5. The $10^{\text{th}}$ term of the Arithmetic Progression $2, 7, 12, \dots$ is:

A) 47

B) 52

C) 37

D) 42

6. The distance of the point $P(2, 3)$ from the x-axis is:

A) 2 units

B) 3 units

C) 1 unit

D) 5 units

7. The value of $\sin^2(30^\circ) + \cos^2(30^\circ)$ is:

A) 0

B) 1

C) 2

D) $\frac{1}{2}$

8. The maximum number of tangents that can be drawn to a circle from a point completely outside of it is:

A) 1

B) 2

C) 3

D) Infinite

9. The standard empirical relationship between the three measures of central tendency is:

A) $3 \text{ Median} = \text{Mode} + 2 \text{ Mean}$

B) $2 \text{ Median} = \text{Mode} + 3 \text{ Mean}$

C) $\text{Mode} = 3 \text{ Median} - \text{Mean}$

D) $\text{Mean} = 3 \text{ Median} - 2 \text{ Mode}$

10. The probability of an impossible event is:

A) 1

B) 0

C) $\frac{1}{2}$

D) Not defined

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Answer Key

1. B (4)

2. B (5)

3. D (No solution)

4. A (-8)

5. A (47)

6. B (3 units)

7. B (1)

8. B (2)

9. A ($3 \text{ Median} = \text{Mode} + 2 \text{ Mean}$)

10. B (0)