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QUIZ

10th

grade

55%

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16

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Brains Akd

3 years

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20 questions

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- 1. Multiple Choice1 minute1 pt
1. The total number of factors of a prime number is

1

0

2

3

- 2. Multiple Choice2 minutes1 pt
The HCF and LCM of 12, 21, 15 respectively are

3, 140

12, 420

3, 420

420, 3

- 3. Multiple Choice1 minute1 pt
The prime factorization of 3825 is:

3 x 5

^{2}x 213

^{2}x 5^{2}x 173

^{2}x 5^{2}x 353

^{2}x 17 x 19 - 4. Multiple Choice2 minutes1 pt
The zeroes of the polynomial x

^{2}─ 3x ─m(m+3) arem, m + 3 C. D.

─ m, m + 3

m, ─ (m + 3)

─ m, ─ (m + 3)

- 5. Multiple Choice2 minutes1 pt
If one of the zeroes of the quadratic polynomial x

^{2 }+ 3x + k is 2, then the value of k is:$-$ 7

$-$ 2

10

$-$ 10

- 6. Multiple Choice1 minute1 pt
The quadratic polynomial, the sum whose zeroes is ─ 5 and their product is 6, is

x

^{2}+ 5x + 6x

^{2}─ 5x + 6x

^{2}─ 5x ─ 6─ x

^{2}+ 5x + 6 - 7. Multiple Choice1 minute1 pt
The zeroes of the quadratic polynomial x

^{2}+ kx + k, wherek ≠ 0,

cannot both be positive

cannot both be negative

are always unequal

are always equal

- 8. Multiple Choice1 minute1 pt
Assertion(A): 2 x

^{2}+ 14x + 20 have two zeroes.Reason(R): A quadratic polynomial can have at most two zeroes.

Both (A) and (R) are correct, but (R) is not the correct explanation of (A).

Both (A) and (R) are correct and (R) is the correct explanation of (A).

Both (A) and (R) are incorrect.

(A) is correct, but (R) is incorrect.

- 9. Multiple Choice1 minute1 pt
The value of k for which the system of equations x + y _ 4 = 0 and 2x + ky = 3, has no solution, is:

$-$ 2

$\ne$ 2

3

2

- 10. Multiple Choice1 minute1 pt
The pair of equations x = 0 and x = ─ 4 has

a unique solution

no solution

infinitely many solutions

only solution (0, 0)

- 11. Multiple Choice2 minutes1 pt
The value of k, for which the pair of linear equations kx + y = k

^{2}and x^{ }+ ky = 1^{ }have infinitely many solutions is:$\pm$ 1

1

$-$ 1

2

- 12. Multiple Choice2 minutes1 pt
If ax + by = a

^{2}─ b^{2 }and bx + ay = 0, then the value of (x + y) is:a

^{2}─ b^{2}b ─ a

a ─ b

a

^{2}+ b^{2} - 13. Multiple Choice2 minutes1 pt
Assertion(A): Equations 3x + 4y + 5 = 0 and 6x + 8y + 9 = 0 represents a pair of parallel lines.

Reason(R): Two lines a

_{1}x + b_{1}y + c_{1}= 0 and a_{2}x + b_{2}y + c_{2}= 0 represent parallel lines if a_{1}/a_{2}= b_{1}/b_{2}= c_{1}/c_{2}Both Assertion and Reason are correct, and (R) is the correct explanation for (R)

Both Assertion and Reason are incorrect

The assertion is correct but the Reason is incorrect

The assertion is incorrect, but the Reason is correct

- 14. Multiple Choice2 minutes1 pt
If A (

^{m}/_{3}, 5) is the mid-point of the line segment joining the points Q( ─ 6, 7) and R( ─ 2, 3), the value of m is:─ 12

─ 4

12

─ 6

- 15. Multiple Choice2 minutes1 pt
If the point P(k, 0) divides the line segment joining the points A(2, ─ 2) and B(─ 7, 4) in the ratio 1: 2, then the value of k is:

1

2

─ 2

─ 1

- 16. Multiple Choice1 minute1 pt
It is being given that the points A(1, 2), B(0, 0), and C(a, b) are collinear. Which of the following relations between

*a*and*b*is true?a = 2b

2a = b

a + b = 0

a ─ b = 0

- 17. Multiple Choice2 minutes1 pt
The value of p, for which the points A(3, 1), B(5, p), and C(7, ─ 5) are collinear, is

─ 2

2

─ 1

1

- 18. Multiple Choice1 minute1 pt
A card is selected from a deck of 52 cards. The probability of it's being a red face card is:

3/26

3/13

2/13

1/2

- 19. Multiple Choice1 minute1 pt
Someone is asked to take a number from 1 to 100. The probability that it is a prime is:

1/5

1/4

6/25

13/50

- 20. Multiple Choice2 minutes1 pt
Assertion: From a pack of 52 cards, the probability of drawing a red card queen is 1/20.

Reason: Probability of occurring of an event p(A) = Favourable outcomes

_________________

Total outcomes

Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

Both Assertion and Reason are correct, and Reason is the correct explanation of Assertion.

The assertion is correct, but the Reason is incorrect.

Both Assertion and Reason are incorrect.

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