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Quantitative Aptitude

SURDS AND INDICES MCQs

Surds & Indices, Indices And Surds, Power

Total Questions : 753 | Page 7 of 76 pages
Question 61. ($$\sqrt 8$$ - $$\sqrt 4 $$ - $$\sqrt 2 $$) Equals to = ?
  1.    2 - $$\sqrt 2 $$
  2.    $$\sqrt 2 $$ - 2
  3.    2
  4.    -2
 Discuss Question
Answer: Option B. -> $$\sqrt 2 $$ - 2
Question 62. $${\left( {64} \right)^{ - \frac{2}{3}}} \times {\left( {\frac{1}{4}} \right)^{ - 2}}$$    is equal to ?
  1.    1
  2.    2
  3.    $$\frac{1}{2}$$
  4.    $$\frac{1}{{16}}$$
 Discuss Question
Answer: Option A. -> 1
Question 63. The value of $$\left( {\frac{{{9^2} \times {{18}^4}}}{{{3^{16}}}}} \right)$$   is = ?
  1.    $$\frac{3}{2}$$
  2.    $$\frac{4}{9}$$
  3.    $$\frac{{16}}{{81}}$$
  4.    $$\frac{{32}}{{243}}$$
 Discuss Question
Answer: Option C. -> $$\frac{{16}}{{81}}$$
Question 64. $$\left[ {{4^3} \times {5^4}} \right] \div {4^5} = ?$$
  1.    29.0825
  2.    30.0925
  3.    35.6015
  4.    39.0625
  5.    None of these
 Discuss Question
Answer: Option D. -> 39.0625
Question 65. 93 × 62 ÷ 33 = ?
  1.    948
  2.    972
  3.    984
  4.    1012
  5.    None of these
 Discuss Question
Answer: Option B. -> 972
Question 66. $$\left({\frac{{2+\sqrt 3}}{{2-\sqrt3}}+ \frac{{2 - \sqrt 3}}{{2 + \sqrt 3}} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right)$$      Simplifies to :
  1.    2 - $$\sqrt 3 $$
  2.    2 + $$\sqrt 3 $$
  3.    16 - $$\sqrt 3 $$
  4.    40 - $$\sqrt 3 $$
 Discuss Question
Answer: Option C. -> 16 - $$\sqrt 3 $$
Question 67. (19)12 × (19)8 ÷ (19)4 = (19)?
  1.    6
  2.    8
  3.    12
  4.    24
  5.    None of these
 Discuss Question
Answer: Option E. -> None of these
Question 68. (64)4 ÷ (8)5 = ?
  1.    (8)8
  2.    (8)2
  3.    (8)12
  4.    (8)4
  5.    None of these
 Discuss Question
Answer: Option E. -> None of these
Question 69. The value of $$\sqrt {\frac{{\left( {\sqrt {12} - \sqrt 8 } \right)\left( {\sqrt 3 + \sqrt 2 } \right)}}{{5 + \sqrt {24} }}} $$       is = ?
  1.    $$\sqrt 6 - \sqrt 2 $$
  2.    $$\sqrt 6 + \sqrt 2 $$
  3.    $$\sqrt 6 - 2$$
  4.    $${\text{2}} - \sqrt 6 $$
 Discuss Question
Answer: Option C. -> $$\sqrt 6 - 2$$
Question 70. The value of $$\frac{1}{{\sqrt {\left( {12 - \sqrt {140} } \right)} }}$$   $$ -\, \frac{1}{{\sqrt {\left( {8 - \sqrt {60} } \right)} }}$$   $$ -\, \frac{2}{{\sqrt {\left( {10 + \sqrt {84} } \right)} }}$$    = is ?
  1.    0
  2.    1
  3.    2
  4.    3
 Discuss Question
Answer: Option A. -> 0

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