Quiz Discussion

Simplify : \(\sqrt {3 + \frac{{33}}{{64}}} \div \sqrt {9 + \frac{1}{7}} \times  2\sqrt {3\frac{1}{9}}\)   = ?

 

Course Name: Quantitative Aptitude

  • 1]

    45/256

  • 2]

    \(1\frac{{17}}{{28}}\)

  • 3]

    \(4\frac{3}{8}\)

  • 4]

    \(2\frac{3}{{16}}\)

Solution
No Solution Present Yet

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# Quiz
1
Discuss

The value of \(\frac{{{x^2} - {{\left( {y - z} \right)}^2}}}{{{{\left( {x + z} \right)}^2} - {y^2}}}{ \text{ + }}\frac{{{y^2} - {{\left( {x - z} \right)}^2}}}{{{{\left( {x + y} \right)}^2} - {z^2}}} +\frac{{{z^2} - {{\left( {x - y} \right)}^2}}}{{{{\left( {y + z} \right)}^2} - {x^2}}}\)   is = ?

 

  • 1] -1
  • 2] 0
  • 3] 1
  • 4] None of these
Solution
2
Discuss

\(\frac{1}{{1 + {2^{a - b}}}} + \frac{1}{{1 + {2^{b - a}}}}\)     is equal to = ?

 

  • 1] a - b
  • 2] b - a
  • 3] 1
  • 4] 0
Solution
3
Discuss

If \(\frac{{x + 1}}{{x - 1}}{ \text{ = }}\frac{a}{b}  \)    and \(\frac{{1 - y}}{{1 + y}}{ \text{ = }}\frac{b}{a}{ \text{,}} \) then the value of \(\frac{{x - y}}{{1 + xy}}\)   = ?

 

  • 1]

    \(\frac{{2ab}}{{{a^2} - {b^2}}}\)

  • 2]

    \(\frac{{{a^2} - {b^2}}}{{2ab}}\)

  • 3]

    \(\frac{{{a^2} + {b^2}}}{{2ab}}\)

  • 4]

    \(\frac{{{a^2} - {b^2}}}{{ab}}\)

Solution
4
Discuss

The value of \({ \text{3}}\frac{1}{2} - \left[ {2\frac{1}{4} \div \left\{ {1\frac{1}{4} - \frac{1}{2}\left( {1\frac{1}{2} - \frac{1}{3} - \frac{1}{6}} \right)} \right\}} \right]\)       = ?

 

  • 1]

    1/2

  • 2]

    \(2\frac{1}{2}\)

  • 3]

    \(3\frac{1}{2}\)

  • 4]

    \(9\frac{1}{2}\)

Solution
5
Discuss

The simplified value of \(\frac{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) - \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)\left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}}{{\left( {1 + \frac{1}{{1 + \frac{1}{{100}}}}} \right) + \left( {1 - \frac{1}{{1 + \frac{1}{{100}}}}} \right)}} = ?\)

 

  • 1]

    100

  • 2]

    200/101

  • 3]

    200

  • 4]

    202/100

Solution
6
Discuss

3.325 + 3.012 + 0.660 + 31.151 + 0.251 = ?

  • 1]

    40.019

  • 2]

    35.055

  • 3]

    37.514

  • 4]

    38.399

Solution
7
Discuss

On simplification the value of \({ \text{1}} - \frac{1}{{1 + \sqrt 2 }}{ \text{ + }}  \frac{1}{{1 - \sqrt 2 }}\)  is = ?

 

  • 1]

    \(2\sqrt 2 - 1\)

  • 2]

    \(1 - 2\sqrt 2 \)

  • 3]

    \(1 - \sqrt 2 \)

  • 4]

    \( - 2\sqrt 2 \)

Solution
8
Discuss

If \(\frac{p}{a} + \frac{q}{b} + \frac{r}{c} = 1\)     and \(\frac{a}{p} + \frac{b}{q} + \frac{c}{r} = 0\)     where a, b, c, p, q, r are non-zero real numbers, then \(\frac{{{p^2}}}{{{a^2}}} + \frac{{{q^2}}}{{{b^2}}} + \frac{{{r^2}}}{{{c^2}}}\)    is equal to = ?

 

  • 1] 0
  • 2] 1
  • 3] 3
  • 4] 9
Solution
9
Discuss

Find the value of * in the following. \({ \text{1}}\frac{2}{3} \div \frac{2}{7} \times \frac{*}{7} = 1\frac{1}{4} \times \frac{2}{3} \div \frac{1}{6}\)

 

  • 1]

    0.006

  • 2]

    1/6

  • 3]

    0.6

  • 4]

    6

Solution
10
Discuss

\(\left\{ {\left( {\sqrt {72} - \sqrt {18} } \right) \div \sqrt {12} } \right\}\)    is equal to = ?

 

  • 1]

    \(\sqrt 6\)

  • 2]

    \(\frac{{\sqrt 3 }}{2}\)

  • 3]

    \(\frac{{\sqrt 2 }}{3}\)

  • 4]

    \(\frac{{\sqrt 6 }}{2}\)

Solution
# Quiz