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Quantitative Aptitude

SURDS AND INDICES MCQs

Surds & Indices, Indices And Surds, Power

Total Questions : 753 | Page 11 of 76 pages
Question 101. $$\left[ {8 - {{\left( {\frac{{{4^{\frac{9}{4}}}\sqrt {{{2.2}^2}} }}{{2\sqrt {{2^{ - 2}}} }}} \right)}^{^{\frac{1}{2}}}}} \right]$$     is equal to = ?
  1.    32
  2.    8
  3.    1
  4.    0
 Discuss Question
Answer: Option D. -> 0
Question 102. $$\frac{{3\sqrt 2 }}{{\sqrt 6 + \sqrt 3 }} - $$  $$\frac{{2\sqrt 6 }}{{\sqrt 3 + 1}} + $$  $$\frac{{2\sqrt 3 }}{{\sqrt 6 + 2}}$$  is equal to = ?
  1.    3
  2.    2
  3.    0
  4.    $$\sqrt 3 $$
 Discuss Question
Answer: Option C. -> 0
Question 103. The value of $$\frac{1}{{{{\left( {216} \right)}^{ - \frac{2}{3}}}}}{\text{ + }}$$  $$\frac{1}{{{{\left( {256} \right)}^{ - \frac{3}{4}}}}}{\text{ + }}$$  $$\frac{1}{{{{\left( {32} \right)}^{ - \frac{1}{5}}}}}$$  is = ?
  1.    102
  2.    105
  3.    107
  4.    109
 Discuss Question
Answer: Option A. -> 102
Question 104. $${\left( {48} \right)^{ - \frac{2}{7}}} \times {\left( {16} \right)^{ - \frac{5}{7}}} \times {\left( 3 \right)^{ - \frac{5}{7}}} = ?$$
  1.    $$\frac{1}{3}$$
  2.    $$\frac{1}{{48}}$$
  3.    1
  4.    48
 Discuss Question
Answer: Option B. -> $$\frac{1}{{48}}$$
Question 105. $${\text{If 1}}{{\text{0}}^x}{\text{ = }}\frac{1}{2}{\text{ then 1}}{{\text{0}}^{ - 8x}} = ?$$
  1.    $$\frac{1}{{256}}$$
  2.    16
  3.    80
  4.    256
 Discuss Question
Answer: Option D. -> 256
Question 106. $$\left( {\frac{1}{{1.4}} + \frac{1}{{4.7}} + \frac{1}{{7.10}} + \frac{1}{{10.13}} + \frac{1}{{13.16}}} \right)$$        is equal to = ?
  1.    $$\frac{1}{3}$$
  2.    $$\frac{5}{{16}}$$
  3.    $$\frac{3}{8}$$
  4.    $$\frac{{41}}{{7280}}$$
 Discuss Question
Answer: Option B. -> $$\frac{5}{{16}}$$
Question 107. Given that $$\sqrt 5 $$ = 2.236 and $$\sqrt 3 $$ = 1.732, then the value of
$$\frac{1}{{\sqrt 5 + \sqrt 3 }}{\text{ is = ?}}$$
  1.    0.564
  2.    0.504
  3.    0.252
  4.    0.202
 Discuss Question
Answer: Option C. -> 0.252
Question 108. If $${\left( {\frac{3}{5}} \right)^3}{\left( {\frac{3}{5}} \right)^{ - 6}} = {\left( {\frac{3}{5}} \right)^{2x - 1}}$$     then x is equal to ?
  1.    -2
  2.    -1
  3.    1
  4.    2
 Discuss Question
Answer: Option B. -> -1
Question 109. If $${\text{5}}\sqrt 5 \times {5^3} \div {5^{ - \frac{3}{2}}}{\text{ = }}{{\text{5}}^{a + 2}}$$     then the value of a is = ?
  1.    4
  2.    5
  3.    6
  4.    8
 Discuss Question
Answer: Option A. -> 4
Question 110. If $${{\text{2}}^x} = \root 3 \of {32} $$   then x is equal to = ?
  1.    5
  2.    3
  3.    $$\frac{3}{5}$$
  4.    $$\frac{5}{3}$$
 Discuss Question
Answer: Option D. -> $$\frac{5}{3}$$

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