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Quantitative Aptitude

SURDS AND INDICES MCQs

Surds & Indices, Indices And Surds, Power

Total Questions : 753 | Page 10 of 76 pages
Question 91. The value of $$\root 3 \of {{2^4}\sqrt {{2^{ - 5}}\sqrt {{2^6}} } } $$    is = ?
  1.    1
  2.    2
  3.    $${{\text{2}}^{\frac{5}{3}}}$$
  4.    25
 Discuss Question
Answer: Option B. -> 2
Question 92. The value of $$\sqrt {2\sqrt {2\sqrt {2\sqrt {2\sqrt 2 } } } } = ?$$
  1.    $${2^{\frac{{29}}{{31}}}}$$
  2.    $${2^{\frac{{31}}{{32}}}}$$
  3.    $${2^{\frac{9}{2}}}$$
  4.    $${2^{\frac{{11}}{2}}}$$
 Discuss Question
Answer: Option B. -> $${2^{\frac{{31}}{{32}}}}$$
Question 93. The value of $${\left( {0.03125} \right)^{ - \frac{2}{5}}}$$   is = ?
  1.    4
  2.    9
  3.    12
  4.    31.25
 Discuss Question
Answer: Option A. -> 4
Question 94. Simplify : $$\frac{1}{{\sqrt 3 + \sqrt 4 }} \,+ $$   $$\frac{1}{{\sqrt 4 + \sqrt 5 }} \,+ $$   $$\frac{1}{{\sqrt 5 + \sqrt 6 }} \,+ $$   $$\frac{1}{{\sqrt 6 + \sqrt 7 }} \,+ $$   $$\frac{1}{{\sqrt 7 + \sqrt 8 }}\, + $$   $$\frac{1}{{\sqrt 8 + \sqrt 9 }} = ?$$
  1.    $$\sqrt 3 $$
  2.    $$3\sqrt 3 $$
  3.    $$3 - \sqrt 3 $$
  4.    $$5 - \sqrt 3 $$
 Discuss Question
Answer: Option C. -> $$3 - \sqrt 3 $$
Question 95. $$\left[ {\frac{{{{\left( {0.73} \right)}^3} + {{\left( {0.27} \right)}^3}}}{{{{\left( {0.73} \right)}^2} + {{\left( {0.27} \right)}^2} - \left( {0.73} \right) \times \left( {0.27} \right)}}} \right]$$       simplifies to ?
  1.    1
  2.    0.4087
  3.    0.73
  4.    0.27
 Discuss Question
Answer: Option A. -> 1
Question 96. If $$x = \frac{{\sqrt 5 + \sqrt 3 }}{{\sqrt 5 - \sqrt 3 }}$$   and $$y = \frac{{\sqrt 5 - \sqrt 3 }}{{\sqrt 5 + \sqrt 3 }}$$   then $$\left( {x + y} \right)$$  equals ?
  1.    8
  2.    16
  3.    $${\text{2}}\sqrt {15} $$
  4.    $${\text{2}}\left( {\sqrt 5 + \sqrt 3 } \right)$$
 Discuss Question
Answer: Option A. -> 8
Question 97. What will come in place of both the question marks in the following question :
$$\frac{{{{\left( ? \right)}^{\frac{2}{3}}}}}{{42}} = \frac{5}{{{{\left( ? \right)}^{\frac{1}{3}}}}}$$
  1.    10
  2.    $${\text{10}}\sqrt 2 $$
  3.    $$\sqrt {20} $$
  4.    20
  5.    210
 Discuss Question
Answer: Option E. -> 210
Question 98. Simplified from of $${\left[ {{{\left( {\root 5 \of {{x^{ - \frac{3}{5}}}} } \right)}^{ - \frac{5}{3}}}} \right]^5}$$   is = ?
  1.    $$\frac{1}{x}$$
  2.    x
  3.    x-5
  4.    x5
 Discuss Question
Answer: Option B. -> x
Question 99. The value of $${{\text{5}}^{\frac{1}{4}}} \times {\left( {125} \right)^{0.25}}$$    is = ?
  1.    $$\sqrt 5 $$
  2.    5
  3.    $${\text{5}}\sqrt 5 $$
  4.    25
 Discuss Question
Answer: Option B. -> 5
Question 100. $$\frac{{12}}{{3 + \sqrt 5 + 2\sqrt 2 }}$$    is equal to = ?
  1.    $${\text{1}} - \sqrt 5 + \sqrt 2 + \sqrt {16} $$    
  2.    $${\text{1}} + \sqrt 5 + \sqrt 2 - \sqrt {10} $$    
  3.    $${\text{1}} + \sqrt 5 + \sqrt 2 + \sqrt {10} $$    
  4.    $${\text{1}} - \sqrt 5 - \sqrt 2 + \sqrt {10} $$    
 Discuss Question
Answer: Option B. -> $${\text{1}} + \sqrt 5 + \sqrt 2 - \sqrt {10} $$    

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