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- 1. Multiple Choice
1. The total number of factors of a prime number is
1
0
2
3
- 2. Multiple Choice
The HCF and LCM of 12, 21, 15 respectively are
3, 140
12, 420
3, 420
420, 3
- 3. Multiple Choice
The prime factorization of 3825 is:
3 x 52 x 21
32 x 52 x 17
32 x 52 x 35
32 x 17 x 19
- 4. Multiple Choice
The zeroes of the polynomial x2 ─ 3x ─m(m+3) are
m, m + 3 C. D.
─ m, m + 3
m, ─ (m + 3)
─ m, ─ (m + 3)
- 5. Multiple Choice
If one of the zeroes of the quadratic polynomial x2 + 3x + k is 2, then the value of k is:
7
2
10
10
- 6. Multiple Choice
The quadratic polynomial, the sum whose zeroes is ─ 5 and their product is 6, is
x2 + 5x + 6
x2 ─ 5x + 6
x2 ─ 5x ─ 6
─ x2 + 5x + 6
- 7. Multiple Choice
The zeroes of the quadratic polynomial x2 + kx + k, where
k ≠ 0,
cannot both be positive
cannot both be negative
are always unequal
are always equal
- 8. Multiple Choice
Assertion(A): 2 x2 + 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 Choice
The value of k for which the system of equations x + y _ 4 = 0 and 2x + ky = 3, has no solution, is:
2
2
3
2
- 10. Multiple Choice
The pair of equations x = 0 and x = ─ 4 has
a unique solution
no solution
infinitely many solutions
only solution (0, 0)
- 11. Multiple Choice
The value of k, for which the pair of linear equations kx + y = k2 and x + ky = 1 have infinitely many solutions is:
1
1
1
2
- 12. Multiple Choice
If ax + by = a2 ─ b2 and bx + ay = 0, then the value of (x + y) is:
a2 ─ b2
b ─ a
a ─ b
a2 + b2
- 13. Multiple Choice
Assertion(A): Equations 3x + 4y + 5 = 0 and 6x + 8y + 9 = 0 represents a pair of parallel lines.
Reason(R): Two lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 represent parallel lines if a1/a2 = b1/b2 = c1/c2
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 Choice
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 Choice
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 Choice
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 Choice
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 Choice
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 Choice
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 Choice
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.
- Answer choicesTagsAnswer choicesTags