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Quantitative Aptitude

SURDS AND INDICES MCQs

Surds & Indices, Indices And Surds, Power

Total Questions : 753 | Page 18 of 76 pages
Question 171. $$2\root 3 \of {32} - 3\root 3 \of 4 + \root 3 \of {500} = ?$$
  1.    $$4\root 3 \of 6 $$
  2.    $$3\sqrt {24} $$
  3.    $$6\root 3 \of 4 $$
  4.    916
 Discuss Question
Answer: Option C. -> $$6\root 3 \of 4 $$
Question 172. The least one among $${\text{2}}\sqrt 3 {\text{,}}$$  $${\text{2}}\root 4 \of 5 {\text{,}}$$  $$\sqrt 8 {\text{,}}$$  $${\text{3}}\sqrt 2 $$  is = ?
  1.    $${\text{2}}\sqrt 3 $$
  2.    $${\text{2}}\root 4 \of 5 $$
  3.    $$\sqrt 8 $$
  4.    $${\text{3}}\sqrt 2 $$
 Discuss Question
Answer: Option C. -> $$\sqrt 8 $$
Question 173. The greatest one of $$\sqrt 2 ,$$  $$\root 3 \of 3 ,$$  $$\root 6 \of 6 ,$$  $$\root 5 \of 5 $$  is = ?
  1.    $$\sqrt 2 $$
  2.    $$\root 3 \of 3 $$
  3.    $$\root 6 \of 6 $$
  4.    $$\root 5 \of 5 $$
 Discuss Question
Answer: Option B. -> $$\root 3 \of 3 $$
Question 174. The greatest among the numbers $${\left( {2.89} \right)^{0.5}},$$   $$2 - {\left( {0.5} \right)^2},$$   $$1 + \frac{{0.5}}{{1 - \frac{1}{2}}},$$   $$\sqrt 3 $$  is = ?
  1.    $${\left( {2.89} \right)^{0.5}}$$
  2.    $${\text{2}} - {\left( {0.5} \right)^2}$$
  3.    $$1 + \frac{{0.5}}{{1 - \frac{1}{2}}}$$
  4.    $$\sqrt 3 $$
 Discuss Question
Answer: Option C. -> $$1 + \frac{{0.5}}{{1 - \frac{1}{2}}}$$
Question 175. The greatest of $$\sqrt 2 ,$$  $$\root 6 \of 3 ,$$  $$\root 3 \of 4 ,$$  $$\root 4 \of 5 $$   is = ?
  1.    $$\sqrt 2 $$
  2.    $$\root 3 \of 4 $$
  3.    $$\root 4 \of 5 $$
  4.    $$\root 6 \of 3 $$
 Discuss Question
Answer: Option B. -> $$\root 3 \of 4 $$
Question 176. $${6^{1.2}} \times {36^?} \times {30^{2.4}} \times {25^{1.3}} = {30^5}$$
  1.    0.1
  2.    0.7
  3.    1.4
  4.    2.6
  5.    None of these
 Discuss Question
Answer: Option B. -> 0.7
Question 177. $$\left[ {\frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }} - \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}} \right]$$     simplifies to = ?
  1.    $${\text{2}}\sqrt 6 $$
  2.    $${\text{4}}\sqrt 6 $$
  3.    $${\text{2}}\sqrt 3 $$
  4.    $${\text{3}}\sqrt 2 $$
 Discuss Question
Answer: Option B. -> $${\text{4}}\sqrt 6 $$
Question 178. If $$\sqrt 3 $$ = 1.732 is given, then the value of $$\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }}$$  is = ?
  1.    11.732
  2.    13.928
  3.    12.928
  4.    13.925
 Discuss Question
Answer: Option B. -> 13.928
Question 179. Evaluate: $$16\sqrt {\frac{3}{4}} - 9\sqrt {\frac{4}{3}} $$    if $$\sqrt {12} $$  = 3.46
  1.    3.46
  2.    10.38
  3.    13.84
  4.    24.22
 Discuss Question
Answer: Option A. -> 3.46
Question 180. $${2^{3.6}} \times {4^{3.6}} \times {4^{3.6}} \times {(32)^{2.3}} = $$      $${\left( {32} \right)^?}$$
  1.    5.9
  2.    7.7
  3.    9.5
  4.    13.1
  5.    None of these
 Discuss Question
Answer: Option A. -> 5.9

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