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Quantitative Aptitude

SURDS AND INDICES MCQs

Surds & Indices, Indices And Surds, Power

Total Questions : 753 | Page 8 of 76 pages
Question 71. (1000)12 ÷ (10)30 = ?
  1.    (1000)2
  2.    10
  3.    100
  4.    (100)12
  5.    None of these
 Discuss Question
Answer: Option A. -> (1000)2
Question 72. Simplify : $$\frac{{{{1.5}^3} + {{4.7}^3} + {{3.8}^3} - 3 \times 1.5 \times 4.7 \times 3.8}}{{{{1.5}^2} + {{4.7}^2} + {{3.8}^2} - 1.5 \times 4.7 - 4.7 \times 3.8 - 3.8 \times 1.5}}$$           = ?
  1.    0
  2.    1
  3.    10
  4.    30
 Discuss Question
Answer: Option C. -> 10
Question 73. If 310 × 272 = 92 × 3n then the value of n is = ?
  1.    10
  2.    12
  3.    15
  4.    30
 Discuss Question
Answer: Option B. -> 12
Question 74. Simplify : $$\frac{{0.41 \times 0.41 \times 0.41 + 0.69 \times 0.69 \times 0.69}}{{0.41 \times 0.41 - 0.41 \times 0.69 + 0.69 \times 0.69}} = ?$$
  1.    0.28
  2.    1.41
  3.    1.1
  4.    2.8
 Discuss Question
Answer: Option C. -> 1.1
Question 75. Simplify : (3)8 × (3)4 = ?
  1.    (27)3
  2.    (27)5
  3.    (729)2
  4.    (729)3
  5.    None of these
 Discuss Question
Answer: Option C. -> (729)2
Question 76. Simplify : $$\frac{{16 \times 32}}{{9 \times 27 \times 81}} = ?$$
  1.    $${\left( {\frac{2}{3}} \right)^9}$$
  2.    $${\left( {\frac{2}{3}} \right)^{11}}$$
  3.    $${\left( {\frac{2}{3}} \right)^{12}}$$
  4.    $${\left( {\frac{2}{3}} \right)^{13}}$$
  5.    None of these
 Discuss Question
Answer: Option A. -> $${\left( {\frac{2}{3}} \right)^9}$$
Question 77. Simplify : $$\frac{{343 \times 49}}{{216 \times 16 \times 81}} = ?$$
  1.    $$\frac{{{7^5}}}{{{6^7}}}$$
  2.    $$\frac{{{7^5}}}{{{6^8}}}$$
  3.    $$\frac{{{7^6}}}{{{6^7}}}$$
  4.    $$\frac{{{7^4}}}{{{6^8}}}$$
  5.    None of these
 Discuss Question
Answer: Option A. -> $$\frac{{{7^5}}}{{{6^7}}}$$
Question 78. $${9^3} \times {\left( {81} \right)^2} \div {\left( {27} \right)^3} = {\left( 3 \right)^?}$$
  1.    3
  2.    4
  3.    5
  4.    6
  5.    None of these
 Discuss Question
Answer: Option C. -> 5
Question 79. Given $$\sqrt 2 $$ = 1.414, the value of $$\sqrt 8 $$ $$\, + $$ $${\text{2}}\sqrt {32} $$ $$\, - $$ $$3\sqrt {128} $$ $$\,\, + $$ $${\text{4}}\sqrt {50} $$  is = ?
  1.    8.484
  2.    8.526
  3.    8.426
  4.    8.876
 Discuss Question
Answer: Option A. -> 8.484
Question 80. $${\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {? - 5} \right)}}$$
  1.    1
  2.    4
  3.    6
  4.    7
  5.    None of these
 Discuss Question
Answer: Option C. -> 6

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