# 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]

$$\frac{{\sqrt 6 }}{2}$$

# Quiz