51. The value of (ds + t ÷ ds) ÷ dt would be
52. If (333 + 333 + 333) (233 + 233) = 6x, then what is the value of x?
53. If $$\frac{{\left( {x - \sqrt {24} } \right)\left( {\sqrt {75} + \sqrt {50} } \right)}}{{\sqrt {75} - \sqrt {50} }} = 1,$$ then the value of x is.
54. The value of $$\frac{{3\sqrt 7 }}{{\sqrt 5 + \sqrt 2 }} - \frac{{5\sqrt 5 }}{{\sqrt 2 + \sqrt 7 }} + \frac{{2\sqrt 2 }}{{\sqrt 7 + \sqrt 5 }}$$ is:
55. If $$y = \frac{{2 - x}}{{1 + x}},$$ then what is the value of $$\frac{1}{{y + 1}} + \frac{{2y + 1}}{{{y^2} - 1}}?$$
56. Which of the following statement(s) is/are true
I. (0.7)2 + (0.07)2 + (11.1)2 > 123.8
II. (1.12)2 + (10.3)2 + (1.05)2 > 108.3
I. (0.7)2 + (0.07)2 + (11.1)2 > 123.8
II. (1.12)2 + (10.3)2 + (1.05)2 > 108.3
57. Which of the following statement(s) is/are true.
$$\eqalign{
& {\text{I}}.\sqrt {64} + \sqrt {0.0064} + \sqrt {0.81} + \sqrt {0.0081} = 9.07 \cr
& {\text{II}}.\sqrt {0.0010201} + \sqrt {98.01} + \sqrt {0.25} = 11.51 \cr} $$
$$\eqalign{ & {\text{I}}.\sqrt {64} + \sqrt {0.0064} + \sqrt {0.81} + \sqrt {0.0081} = 9.07 \cr & {\text{II}}.\sqrt {0.0010201} + \sqrt {98.01} + \sqrt {0.25} = 11.51 \cr} $$
58. Which of the following statement(s) is/are true?
I. (65)1/6 > (17)1/4 > (12)1/3
II. (17)1/4 > (65)1/6 > (12)1/3
III. (12)1/3 > (17)1/4 > (65)1/6
I. (65)1/6 > (17)1/4 > (12)1/3
II. (17)1/4 > (65)1/6 > (12)1/3
III. (12)1/3 > (17)1/4 > (65)1/6
59. Which of the following is true?
$$\eqalign{
& {\text{I}}.\frac{1}{{\root 3 \of {12} }} > \frac{1}{{\root 4 \of {29} }} > \frac{1}{{\sqrt 5 }} \cr
& {\text{II}}.\frac{1}{{\root 4 \of {29} }} > \frac{1}{{\root 3 \of {12} }} > \frac{1}{{\sqrt 5 }} \cr
& {\text{III}}.\frac{1}{{\sqrt 5 }} > \frac{1}{{\root 3 \of {12} }} > \frac{1}{{\root 4 \of {29} }} \cr
& {\text{IV}}.\frac{1}{{\sqrt 5 }} > \frac{1}{{\root 4 \of {29} }} > \frac{1}{{\root 3 \of {12} }} \cr} $$
$$\eqalign{ & {\text{I}}.\frac{1}{{\root 3 \of {12} }} > \frac{1}{{\root 4 \of {29} }} > \frac{1}{{\sqrt 5 }} \cr & {\text{II}}.\frac{1}{{\root 4 \of {29} }} > \frac{1}{{\root 3 \of {12} }} > \frac{1}{{\sqrt 5 }} \cr & {\text{III}}.\frac{1}{{\sqrt 5 }} > \frac{1}{{\root 3 \of {12} }} > \frac{1}{{\root 4 \of {29} }} \cr & {\text{IV}}.\frac{1}{{\sqrt 5 }} > \frac{1}{{\root 4 \of {29} }} > \frac{1}{{\root 3 \of {12} }} \cr} $$
60. If mn = 169, what is the value of (m + 1)(n - 1)?
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