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Quantitative Aptitude

SQUARE ROOT AND CUBE ROOT MCQs

Square Roots, Cube Roots, Squares And Square Roots

Total Questions : 547 | Page 22 of 55 pages
Question 211. Given that $$\sqrt 3 = 1.732{\text{,}}$$   the value of $$\frac{{3 + \sqrt 6 }}{{5\sqrt 3 - 2\sqrt {12} - \sqrt {32} + \sqrt {50} }}$$      is ?
  1.    1.414
  2.    1.732
  3.    2.551
  4.    4.899
 Discuss Question
Answer: Option B. -> 1.732
Question 212. $$\left( {\frac{{2 + \sqrt 3 }}{{2 - \sqrt 3 }} + \frac{{2 - \sqrt 3 }}{{2 + \sqrt 3 }} + \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}} \right)$$      simplifies to = ?
  1.    $$16 - \sqrt 3 $$
  2.    $$4 - \sqrt 3 $$
  3.    $$2 - \sqrt 3 $$
  4.    $$2 + \sqrt 3 $$
 Discuss Question
Answer: Option A. -> $$16 - \sqrt 3 $$
Question 213. If $$x = 3 + \sqrt 8 ,$$   then $${x^2} + \frac{1}{{{x^2}}}$$  is equal to = ?
  1.    30
  2.    34
  3.    36
  4.    38
 Discuss Question
Answer: Option B. -> 34
Question 214. If $$a = \frac{{\sqrt 3 + \sqrt 2 }}{{\sqrt 3 - \sqrt 2 }},$$   $$b = \frac{{\sqrt 3 - \sqrt 2 }}{{\sqrt 3 + \sqrt 2 }}$$   then the value of $${a^2} + {b^2}$$   would be = ?
  1.    10
  2.    98
  3.    99
  4.    100
 Discuss Question
Answer: Option B. -> 98
Question 215. If $$a = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$   and $$b = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}, $$   the value of $$\left( {\frac{{{a^2} + ab + {b^2}}}{{{a^2} - ab + {b^2}}}} \right)$$   is ?
  1.    $$\frac{3}{4}$$
  2.    $$\frac{4}{3}$$
  3.    $$\frac{3}{5}$$
  4.    $$\frac{5}{3}$$
 Discuss Question
Answer: Option B. -> $$\frac{4}{3}$$
Question 216. One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels ?
  1.    32
  2.    34
  3.    35
  4.    36
 Discuss Question
Answer: Option D. -> 36
Question 217. The number of trees in each row of a garden is equal to the total number of rows in the garden. After 111 trees have been uprooted in a storm, there remain 10914 trees in the garden. The number of rows of trees in the garden is = ?
  1.    100
  2.    105
  3.    115
  4.    125
 Discuss Question
Answer: Option B. -> 105
Question 218. 1250 oranges were distributed among a group of girls of a class. Each girl got twice as many oranges as the number of girls in that group. The number of girls in the group was = ?
  1.    25
  2.    45
  3.    50
  4.    100
 Discuss Question
Answer: Option A. -> 25
Question 219. A mobile company offered to pay the Indian Cricket Team as much money per run scored by the side as the total number it gets in a one-dayer against Australia. Which one of the following cannot be the total amount to be spent by the company in this deal ?
  1.    21904
  2.    56169
  3.    101761
  4.    121108
 Discuss Question
Answer: Option D. -> 121108
Question 220. $$1728 \div \root 3 \of {262144} \, \times \,?\, - 288$$      = 4491
  1.    148
  2.    156
  3.    173
  4.    177
 Discuss Question
Answer: Option D. -> 177

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