#### Basic Algebra One Mark Questions

11th Standard

Reg.No. :
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Maths

Time : 00:40:00 Hrs
Total Marks : 25
25 x 1 = 25
1. If |x+2| $\le$ 9, then x belongs to

(a)

$(-\infty ,-7)$

(b)

[-11, 7]

(c)

$(-\infty ,-7)\cup (11,\infty)$

(d)

(-11, 7)

2. If $\frac { |x-2| }{ x-2 } \ge 0$, then x belongs to

(a)

$[2,\infty]$

(b)

$(2,\infty )$

(c)

$(-\infty,2)$

(d)

$(-2,\infty )$

3. If ${ log }_{ \sqrt { x } }$ 0.25 =4 ,then the value of x is

(a)

0.5

(b)

2.5

(c)

1.5

(d)

1.25

4. The value of loga b logb c logc a is

(a)

2

(b)

1

(c)

3

(d)

4

5. If 3 is the logarithm of 343 then the base is

(a)

5

(b)

7

(c)

6

(d)

9

6. Find a so that the sum and product of the roots of the equation 2x2+(a-3)x+3a-5 = 0 are equal is

(a)

1

(b)

2

(c)

0

(d)

4

7. If a and b are the roots of the equation x2-kx+16=0 and a2+b2=32 then the value of k is

(a)

10

(b)

-8

(c)

-8,8

(d)

6

8. The number of solution of x2+|x-1|=1 is

(a)

1

(b)

0

(c)

2

(d)

3

9. The equation whose roots are numerically equal but opposite in sign to the roots 3x2-5x-7 =0 is

(a)

3x2-5x-7 =0

(b)

3x2+5x-7 =0

(c)

3x2-5x+7 =0

(d)

3x2+x-7

10. If 8 and 2 are the roots of x2+ax+c=0 and 3,3 are the roots of x2+dx+b=0;then the roots of the equation x2+ax+b = 0 are

(a)

1,2

(b)

-1,1

(c)

9,1

(d)

-1,2

11. The number of roots of (x+3)4+(x+5)4=16 is

(a)

4

(b)

2

(c)

3

(d)

0

12. If x < 7,then

(a)

-x < -7

(b)

- x ≤ -7

(c)

-x > -7

(d)

-x ≥ -7

13. If -3x+17 < -13 then

(a)

x ∈ (10,∞)

(b)

x ∈ [10,∞)

(c)

x ∈ (-∞,10]

(d)

x ∈ [10,10)

14. If x is a real number and |x| < 5 then

(a)

x ≥ 5

(b)

-5 < x < 5

(c)

x ≤ -5

(d)

-5 ≤ x ≤ 5

15. If |x+3| ≥10 then

(a)

x ∊ (-13,7]

(b)

x ∊ [-13,7)

(c)

x ∊ (-∞,-13] ᴗ [7,∞)

(d)

x ∊ (-∞,-13] ᴗ [7,∞)

16. $\sqrt [ 4 ]{ 11 }$ is equal to

(a)

$\sqrt [ 8 ]{ 11^{ 2 } }$

(b)

$\sqrt [ 8 ]{ 11^{ 4 } }$

(c)

$\sqrt [ 8 ]{ 11^{ 8 } }$

(d)

$\sqrt [ 8 ]{ 11^{ 6 } }$

17. The rationalising factor of $\frac { 5 }{ \sqrt [ 3 ]{ 3 } }$ is

(a)

$\sqrt [ 3 ]{ 6 }$

(b)

$\sqrt [ 3 ]{ 3 }$

(c)

$\sqrt [ 3 ]{ 9 }$

(d)

$\sqrt [ 3 ]{ 27 }$

18. $(\sqrt { 5 } -2)(\sqrt { 5 } +2)$ is equal to

(a)

1

(b)

3

(c)

23

(d)

21

19. The number of real solution of |2x-x2-3|=1 is

(a)

0

(b)

2

(c)

3

(d)

4

20. If x is real and k = $\frac { { x }^{ 2 }-x+1 }{ { x }^{ 2 }+x+1 }$ then

(a)

$k\epsilon \left[ \frac { 1 }{ 3 } ,3 \right]$

(b)

k ≥ 3

(c)

$k\le \frac { 1 }{ 3 }$

(d)

none of these

21. If the roots of x2-bx+c =0 are two consecutive integer,then b2-4c is

(a)

0

(b)

1

(c)

2

(d)

none of these

22. The logarithmic form of 52=25 is

(a)

${ log }_{ 5 }^{ 2 }=25$

(b)

${ log }_{ 2 }^{ 5 }=25$

(c)

${ log }_{ 2 }^{ 25 }=2$

(d)

${ log }_{ 25 }^{ 5 }=2$

23. The Value of ${ log }_{ 3/4 }^{ (4/3) }$ is

(a)

-2

(b)

1

(c)

2

(d)

-1

24. The value of log108+log105-log10=

(a)

${ log }_{ 10 }^{ 9 }$

(b)

${ log }_{ 10 }^{ 36 }$

(c)

1

(d)

-1

25. (x2-2x+2)(x2+2x+2) are the factors of the polynomial

(a)

(x2-2x)2

(b)

x4-4

(c)

x4+4

(d)

(x2-2x+2)2