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- 1. Multiple Choice
The value of x, for which the polynomials (x - 1) and x2 - 2x +1 vanish simultaneously, is
2
─ 2
1
─ 1
- 2. Multiple Choice
The value of the polynomial x8 ─ x5 + x2 ─ x +1 is
Positive for all the real numbers
Negative for all the real numbers
0
depends on the value of x
- 3. Multiple Choice
Lowest value of x2 + 4x + 2 is
0
─ 2
2
4
- 4. Multiple Choice
If one zero of the quadratic polynomial x2 + 5x + 6 is ─3, then find the other zero
3
2
─ 2
None of these
- 5. Multiple Choice
When a number is divided by 7, its remainder is always
Greater than 7
Equal to 7
Less than 7
At least 7
- 6. Multiple Choice
If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is
8
16
24
48
- 7. Multiple Choice
If two positive integers a and b are written as a = p3q2 and b = pq3; p, q are prime numbers. Then HCF (a, b) is
pq
p2q2
p3q3
pq2
- 8. Multiple Choice
If two positive integers a and b are written as a = p3q2 and b = pq3; p, q are prime numbers. Then HCF (a, b) is
pq
p2q2
p3q3
pq2
- 9. Multiple Choice
If a non zero rational number is multiplied to an irrational number, we always get
An irrational number
A rational number
1
0
- 10. Multiple Choice
For some positive integer q, every even integer is of the form
q
q + 1
2q
2q + 1
- 11. Multiple Choice
If n is an even natural number, then the largest natural number by which n(n+1) (n+2) is divisible is
6
8
12
24
- 12. Multiple Choice
If a = 28 x 3, b = 2 x 3 x 5, c = 3n x 5 and LCM (a, b, c) = 28 x 32 x 5, then, n=
1
2
3
4
- 13. Multiple Choice
If x and y are odd positive integers, then x2 + y2 is
Even and divisible by 4
Even and not divisible by 4
Odd and divisible by 4
Odd and not divisible by 4
- 14. Multiple Choice
Which of the following is not irrational?
( 2 ─ √3) 2
( √2 + √3) 2
(√2 ─ √3) ( √2 + √3)
2√7 / 7
- 15. Multiple Choice
The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is
5
20
60
100
- 16. Multiple Choice
If HCF (16, y) = 8 and LCM (16, y) = 48. Then the value of y =
24
16
8
48
- 17. Multiple Choice
If the zeroes of a quadratic polynomial
x2 + (a + 1) x + b are 2 and ─ 3, then
a = ─7 , b = ─ 1
a = 5, b = ─1
a = 2, b = ─ 6
a = 0, b = ─ 6
- 18. Multiple Choice
A quadratic polynomial whose zeroes are ─ 4 and ─ 5 is
x2 ─ 9x + 20
x2 ─ 9x ─ 20
x2 + 9x ─ 20
x2 + 9x + 20
- 19. Multiple Choice
If x3 + 11 is divided by x2 ─ 3, then the possible degree of remainder is
0
1
2
Less than 2
- 20. Multiple Choice
Assertion (A) : 2 is a rational number
Reason (R): The square roots of all positive integers are irrationals
Both Assertion and Reason are True
Assertion is True, but Reason is False
Assertion is False, but Reason is True
Both Assertion and Reason are False
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