#### Algebra - One Mark Questions

9th Standard

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Maths

Time : 00:30:00 Hrs
Total Marks : 16
16 x 1 = 16
1. If p(a)= 0 then (x-a) is a ___________ of p(x)

(a)

divisor

(b)

quotient

(c)

remainder

(d)

factor

2. Zeros of (2-3x) is ___________

(a)

3

(b)

2

(c)

2/3

(d)

3/2

3. Which of the following has x -1 as a factor?

(a)

2x -1

(b)

3x -3

(c)

4x -3

(d)

3x -4

4. If x - 3 is a factor of p(x), then the remainder is

(a)

3

(b)

-3

(c)

p(3)

(d)

p(-3)

5. (x+y)(x2−xy+y2) is equal to

(a)

(x+y)3

(b)

(x-y)3

(c)

x3 + y3

(d)

x3 - y3

6. If one of the factors of x2-6x-16 is x - 8 then the other factor is

(a)

(x + 6)

(b)

(x - 2)

(c)

(x + 2)

(d)

(x -16)

7. (a+b−c)2 is equal to ______

(a)

(a−b+c)2

(b)

(−a−b+c)2

(c)

(a+b+c)2

(d)

(a-b-c)2

8. In an expression ax2+bx c the sum and product of the factors respectively,

(a)

a, bc

(b)

b, ac

(c)

ac, b

(d)

bc, a

9. If (x + 5) and (x - 3) are the factors of ax2+bx+c, then values of a, b and c are

(a)

1,2,3

(b)

1,2,15

(c)

1,2, −15

(d)

1, −2,15

10. Cubic polynomial may have maximum of ___________ linear factors

(a)

1

(b)

2

(c)

3

(d)

4

11. Degree of the constant polynomial is __________

(a)

3

(b)

2

(c)

1

(d)

0

12. GCD of any two prime numbers is __________

(a)

-1

(b)

0

(c)

1

(d)

2

13. The remainder when (x2-2x+7) is divided by (x + 4) is

(a)

28

(b)

31

(c)

30

(d)

20

14. The GCD of ak, ak+1, ak+5 where, kN

(a)

ak

(b)

ak+1

(c)

ak+5

(d)

1

15. The GCD of x4-y4 and x2-y2 is

(a)

x4-y4

(b)

x2-y2

(c)

(x+y)2

(d)

(x+y)4

16. If there are 36 students of class 9 and 48 students of class 10, what is the minimum number of rows to arrange them in which each row consists of same class with same number of students

(a)

12

(b)

144

(c)

7

(d)

72