Multiple choice questions with answers / choose the correct answer with answers - Maths Book back 1 mark questions and answers with solution for Exercise Problems - Mathematics : Basic Algebra

**CHAPTER: Basic Algebra **

**Choose
the correct or the most suitable answer.**

1. If |x + 2| ≤ 9, then x belongs to

(1) (-∞,-7)

**(2)
[****-****11,
7] **

(3) (-∞,-7) ∪ [11, ∞)

(4) (-11, 7)

*Solution*

2. Given that *x*, *y* and *b* are real numbers *x* < *y, b* > 0, then

**(1)
xb < yb **

(2) xb > yb

(3) xb ≤ yb

(4) x/b ≥ y/b

*Solution*

3. If |*x* – 2| / (*x* – 2) ≥ 0, then *x* belongs to

**(1)
[2, ∞) **

(2) (2, ∞)

(3) (-∞, 2)

(4) (-2, ∞)

*Solution*

4. The solution of 5*x* - 1 < 24 and 5*x* + 1 > -24 is

(1) (4, 5)

(2) (-5,-4)

**(3)
(****-****5,
5) **

(4) (-5, 4)

*Solution*

5. The solution set of the following
inequality |x - 1| ≥ |x – 3| is

(1) [0, 2]

**(2)
[2,∞) **

(3) (0, 2)

(4) (-∞, 2)

*Solution*

6. The value of log_{√2} 512 is

(1) 16

**(2)
18 **

(3) 9

(4) 12

*Solution*

7. The value of log_{3}1/81 is

(1) -2

(2) -8

**(3)
****-****4 **

(4) -9

*Solution*

8. If log_{√x} 0:25 = 4, then
the value of *x* is

**(1)
0:5 **

(2) 2:5

(3) 1:5

(4) 1:25

*Solution*

9. The value of log_{a} b log_{b}
c logc a is

(1) 2

**(2)
1 **

(3) 3

(4) 4

*Solution*

10. If 3 is the logarithm of 343, then
the base is

(1) 5

**(2)
7 **

(3) 6

(4) 9

*Solution*

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

(1) 1

**(2)
2 **

(3) 0

(4) 4

*Solution*

12. If a and b are the roots of the
equation x^{2} -
kx + 16 = 0 and satisfy a^{2} + b^{2} = 32, then the value

of k is

(1) 10

(2) -8

**(3)
****-****8,
8 **

(4) 6

*Solution*

13. The number of solutions of x^{2}
+ |x – 1| = 1 is

(1) 1

(2) 0

**(3)
2 **

(4) 3

*Solution*

14. The equation whose roots are
numerically equal but opposite in sign to the roots of 3x^{2} - 5x - 7 = 0 is

(1) 3x^{2} - 5x - 7 = 0

**(2)
3x ^{2} + 5x **

(3) 3x^{2} - 5x + 7 = 0

(4) 3x^{2} + x - 7

*Solution*

15. If 8 and 2 are the roots of x^{2}
+ax+c = 0 and 3, 3 are the roots of x^{2} +dx+b = 0, then the roots

of the equation x^{2} + ax + b =
0 are

(1) 1, 2

(2) -1, 1

**(3)
9, 1 **

(4) -1, 2

*Solution*

16. If a and b are the real roots of the
equation x^{2} -
kx + c = 0, then the distance between the points (a, 0) and (b, 0) is

**(1)
√(k ^{2} **

(2) √(4k^{2} – c)

(3) √(4c - k^{2})

(4) √(k - 8c)

*Solution*

17. If , then the value of k is

(1) 1

(2) 2

**(3)
3 **

(4) 4

*Solution*

18. If , then the value of A + B is

**(1)
****-****1/2
**

(2) -2/3

(3) 1/2

(4) 2/3

*Solution*

19. The number of roots of (x + 3)^{4}
+ (x + 5)^{4} = 16 is

**(1)
4 **

(2) 2

(3) 3

(4) 0

*Solution*

20. The value of log_{3} 11. log_{11}
13. log_{13} 15.log_{15} 27.log27 81 is

(1) 1

(2) 2

(3) 3

**(4)
4**

*Solution*

Tags : Basic Algebra | Mathematics , 11th Mathematics : Chapter 2 : Basic Algebra

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11th Mathematics : Chapter 2 : Basic Algebra : Exercise 2.13: Choose the correct or the most suitable answer | Basic Algebra | Mathematics

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