Basic Algebra One Mark Questions

11th Standard

    Reg.No. :
  •  
  •  
  •  
  •  
  •  
  •  

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

*****************************************

TN 11th Standard Maths free Online practice tests

Reviews & Comments about 11th Maths Chapter 2 Basic Algebra One Mark Question Paper

Write your Comment