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Quantitative Aptitude

SURDS AND INDICES MCQs

Surds & Indices, Indices And Surds, Power

Total Questions : 753 | Page 9 of 76 pages
Question 81. The value of $${\left( {256} \right)^{\frac{5}{4}}}$$  is = ?
  1.    512
  2.    984
  3.    1024
  4.    1032
 Discuss Question
Answer: Option C. -> 1024
Question 82. $$\sqrt {2 + \sqrt {2 + \sqrt {2 + ......} } } $$      is equal to ?
  1.    $$\sqrt 2 $$
  2.    $${\text{2}}\sqrt 2 $$
  3.    2
  4.    3
 Discuss Question
Answer: Option C. -> 2
Question 83. The value of $${\text{2}} + \sqrt {0.09} \, - \,\root 3 \of {0.008} \, - \,75\% $$       of 2.80 is = ?
  1.    0
  2.    0.01
  3.    -1
  4.    0.001
 Discuss Question
Answer: Option A. -> 0
Question 84. The value of $${\left( {3 + 2\sqrt 2 } \right)^{ - 3}}$$   $$ + {\left( {3 - 2\sqrt 2 } \right)^{ - 3}} = ?$$
  1.    189
  2.    180
  3.    108
  4.    198
 Discuss Question
Answer: Option D. -> 198
Question 85. The value of $${\left( {\sqrt 8 } \right)^{\frac{1}{3}}}$$  is = ?
  1.    2
  2.    4
  3.    $$\sqrt 2 $$
  4.    8
 Discuss Question
Answer: Option C. -> $$\sqrt 2 $$
Question 86. The value of $${\left( {\frac{{32}}{{243}}} \right)^{ - \frac{4}{5}}}$$   is = ?
  1.    $$\frac{4}{9}$$
  2.    $$\frac{9}{4}$$
  3.    $$\frac{{16}}{{81}}$$
  4.    $$\frac{{81}}{{16}}$$
 Discuss Question
Answer: Option D. -> $$\frac{{81}}{{16}}$$
Question 87. The value of $${\text{2}}{{\text{7}}^{ - \frac{2}{3}}}$$ lies between = ?
  1.    0 and 1
  2.    1 and 2
  3.    2 and 3
  4.    3 and 4
 Discuss Question
Answer: Option A. -> 0 and 1
Question 88. The value of $$\frac{1}{{\sqrt {3.25} + \sqrt {2.25} }}$$    $$ +\, \frac{1}{{\sqrt {4.25} + \sqrt {3.25} }}$$    $$ +\, \frac{1}{{\sqrt {5.25} + \sqrt {4.25} }}$$    $$ +\, \frac{1}{{\sqrt {6.25} + \sqrt {5.25} }}$$    is = ?
  1.    1.00
  2.    1.25
  3.    1.50
  4.    2.25
 Discuss Question
Answer: Option A. -> 1.00
Question 89. $$\frac{{{3^0} + {3^{ - 1}}}}{{{3^{ - 1}} - {3^0}}}$$   is simplified to = ?
  1.    -2
  2.    -1
  3.    1
  4.    2
 Discuss Question
Answer: Option A. -> -2
Question 90. The simplified form of $$\frac{2}{{\sqrt 7 + \sqrt 5 }} + $$   $$\frac{7}{{\sqrt {12} - \sqrt 5 }} - $$   $$\frac{5}{{\sqrt {12} - \sqrt 7 }}$$   is = ?
  1.    5
  2.    2
  3.    1
  4.    0
 Discuss Question
Answer: Option D. -> 0

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