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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 35 of 101 pages
Question 341. If a2 + b2 + c2 = 16, x2 + y2 + z2 = 25 and ax + by + cz = 20 then the value of $$\frac{{a + b + c}}{{x + y + z}}$$   = ?
  1.    $$\frac{3}{5}$$
  2.    $$\frac{4}{5}$$
  3.    $$\frac{5}{3}$$
  4.    $$\frac{5}{4}$$
 Discuss Question
Answer: Option B. -> $$\frac{4}{5}$$
Question 342. If $$\sqrt {0.03 \times 0.3a} $$   = $${\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times \sqrt b {\text{,}}$$    value of $$\frac{a}{b}\,{\text{is?}}$$
  1.    0.009
  2.    0.03
  3.    0.9
  4.    0.08
 Discuss Question
Answer: Option C. -> 0.9
Question 343. If x * y = (x + 3)2 (y - 1), then the value of 5 * 4 is?
  1.    192
  2.    182
  3.    180
  4.    172
 Discuss Question
Answer: Option A. -> 192
Question 344. $${\text{If }}\sqrt {1 + \frac{x}{{961}}} = \frac{{32}}{{31}}{\text{,}}$$     then the value of x is?
  1.    63
  2.    61
  3.    65
  4.    64
 Discuss Question
Answer: Option A. -> 63
Question 345. If $$\sqrt {0.04 \times 0.4 \times a} $$    = 0.004 × 0.4 × $$\sqrt b ,$$  then the value of $$\frac{a}{b}\,{\text{is?}}$$
  1.    $${\text{16}} \times {\text{1}}{{\text{0}}^{ - 3}}$$
  2.    $${\text{16}} \times {\text{1}}{{\text{0}}^{ - 4}}$$
  3.    $${\text{16}} \times {\text{1}}{{\text{0}}^{ - 5}}$$
  4.    $${\text{16}} \times {\text{1}}{{\text{0}}^{ - 6}}$$
 Discuss Question
Answer: Option C. -> $${\text{16}} \times {\text{1}}{{\text{0}}^{ - 5}}$$
Question 346. If $$\frac{a}{b} = \frac{c}{d} = \frac{e}{f} = 3,$$    then $$\frac{{2{a^2} + 3{c^2} + 4{e^2}}}{{2{b^2} + 3{d^2} + 4{f^2}}}$$    = ?
  1.    2
  2.    3
  3.    4
  4.    9
 Discuss Question
Answer: Option D. -> 9
Question 347. If x varies inversely as (y2 - 1) and x is equal to 24 when y = 10, then the value of x when y = 5 is?
  1.    99
  2.    12
  3.    24
  4.    100
 Discuss Question
Answer: Option A. -> 99
Question 348. If x2 + y2 + 2x + 1 = 0, then the value of x31 + y35 is?
  1.    -1
  2.    0
  3.    1
  4.    2
 Discuss Question
Answer: Option A. -> -1
Question 349. If (3a + 1)2 + (b - 1)2 + (2c - 3)2 = 0 then the value of (3a + b + 2c) is equal to?
  1.    3
  2.    -1
  3.    2
  4.    5
 Discuss Question
Answer: Option A. -> 3
Question 350. If a, b, c are real and a2 + b2 + c2 = 2(a - b - c) -3, then the value of 2a - 3b + 4c is?
  1.    -1
  2.    0
  3.    1
  4.    2
 Discuss Question
Answer: Option C. -> 1

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