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- Multiple ChoicePlease save your changes before editing any questions.
**The value of x, for which the polynomials (x - 1) and x2 - 2x +1 vanish simultaneously, is**2

─ 2

1

─ 1

- Multiple ChoicePlease save your changes before editing any questions.
**The value of the polynomial x**^{8}**─ x**^{5}**+ x**^{2}**─ x +1 is**Positive for all the real numbers

Negative for all the real numbers

0

depends on the value of x

- Multiple ChoicePlease save your changes before editing any questions.
**Lowest value of x**^{2}**+ 4x + 2 is**0

─ 2

2

4

- Multiple ChoicePlease save your changes before editing any questions.
**If one zero of the quadratic polynomial x**^{2}**+ 5x + 6 is ─3, then find the other zero**3

2

─ 2

None of these

- Multiple ChoicePlease save your changes before editing any questions.
**When a number is divided by 7, its remainder is always**Greater than 7

Equal to 7

Less than 7

At least 7

- Multiple ChoicePlease save your changes before editing any questions.
**If HCF (16, y) = 8 and LCM (16, y) = 48, then the value of y is**8

16

24

48

- Multiple ChoicePlease save your changes before editing any questions.
**If two positive integers a and b are written as a = p**^{3}**q**^{2}**and b = pq**^{3}**; p, q are prime numbers. Then HCF (a, b) is**pq

p

^{2}q^{2}p

^{3}q^{3}pq

^{2} - Multiple ChoicePlease save your changes before editing any questions.
**If two positive integers a and b are written as a = p**^{3}**q**^{2}**and b = pq**^{3}**; p, q are prime numbers. Then HCF (a, b) is**pq

p

^{2}q^{2}p

^{3}q^{3}pq

^{2} - Multiple ChoicePlease save your changes before editing any questions.
**If a non zero rational number is multiplied to an irrational number, we always get**An irrational number

A rational number

1

0

- Multiple ChoicePlease save your changes before editing any questions.
**For some positive integer q, every even integer is of the form**q

q + 1

2q

2q + 1

- Multiple ChoicePlease save your changes before editing any questions.
**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

- Multiple ChoicePlease save your changes before editing any questions.
**If a = 2**^{8 }**x 3, b = 2 x 3 x 5, c = 3**^{n}**x 5 and LCM (a, b, c) = 28 x 32 x 5, then, n=**1

2

3

4

- Multiple ChoicePlease save your changes before editing any questions.
**If x and y are odd positive integers, then x**^{2}**+ y**^{2}**is**Even and divisible by 4

Even and not divisible by 4

Odd and divisible by 4

Odd and not divisible by 4

- Multiple ChoicePlease save your changes before editing any questions.
**Which of the following is not irrational?**( 2 ─ √3) 2

( √2 + √3) 2

(√2 ─ √3) ( √2 + √3)

2√7 / 7

- Multiple ChoicePlease save your changes before editing any questions.
**The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is**5

20

60

100

- Multiple ChoicePlease save your changes before editing any questions.
**If HCF (16, y) = 8 and LCM (16, y) = 48. Then the value of y =**24

16

8

48

- Multiple ChoicePlease save your changes before editing any questions.
**If the zeroes of a quadratic polynomial****x**^{2}**+ (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

- Multiple ChoicePlease save your changes before editing any questions.
**A quadratic polynomial whose zeroes are**─**4 and**─**5 is**x

^{2}─ 9x + 20x

^{2}─ 9x ─ 20x

^{2}+ 9x ─ 20x

^{2}+ 9x + 20 - Multiple ChoicePlease save your changes before editing any questions.
**If x**^{3}**+ 11 is divided by x**^{2}**3, then the possible degree of remainder is**0

1

2

Less than 2

- Multiple ChoicePlease save your changes before editing any questions.
**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