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Quantitative Aptitude

SIMPLIFICATION MCQs

Simplication

Total Questions : 1537 | Page 13 of 154 pages
Question 121. Given that $$\sqrt {574.6} $$  = 23.97, $$\sqrt {5746} $$  = 75.8 then $$\sqrt {0.00005746} $$   = ?
  1.    0.002394
  2.    0.0002397
  3.    0.0007580
  4.    0.00758
 Discuss Question
Answer: Option D. -> 0.00758
Question 122. If $$a = \frac{x}{{x + y}}$$   and $$b = \frac{y}{{x - y}}{\text{,}}$$   then $$\frac{{ab}}{{a + b}}$$   is equal to = ?
  1.    $$\frac{{xy}}{{{x^2} + {y^2}}}$$
  2.    $$\frac{{{x^2} + {y^2}}}{{xy}}$$
  3.    $$\frac{x}{{x + y}}$$
  4.    $${\left( {\frac{y}{{x + y}}} \right)^2}$$
 Discuss Question
Answer: Option A. -> $$\frac{{xy}}{{{x^2} + {y^2}}}$$
Question 123. If $$\frac{a}{b} = \frac{1}{3}\,,$$ $$\,\,\frac{b}{c} = 2\,,$$ $$\,\,\frac{c}{d} = \frac{1}{2}\,,$$ $$\,\,\frac{d}{e} = 3$$   and $$\,\frac{e}{f} = \frac{1}{4}\,,$$   then what is the value of $$\frac{{abc}}{{def}} = ?$$
  1.    $$\frac{1}{4}$$
  2.    $$\frac{3}{4}$$
  3.    $$\frac{3}{8}$$
  4.    $$\frac{{27}}{4}$$
  5.    $$\frac{{27}}{8}$$
 Discuss Question
Answer: Option C. -> $$\frac{3}{8}$$
Question 124. If $$\frac{m}{n}{\text{ = }}\frac{4}{3}$$   and $$\frac{r}{t}{\text{ = }}\frac{9}{{14}}{\text{,}}$$   then the value of $$\frac{{3mr - nt}}{{4nt - 7mr}}{\text{ is}} = {\text{?}}$$
  1.    $$ - {\text{5}}\frac{1}{2}$$
  2.    $$ - \frac{{11}}{{14}}$$
  3.    $$ - 1\frac{1}{4}$$
  4.    $$\frac{{11}}{{14}}$$
 Discuss Question
Answer: Option B. -> $$ - \frac{{11}}{{14}}$$
Question 125. $$\sqrt {{{\left( {0.798} \right)}^2} + 0.404 \times 0.798 + {{\left( {0.202} \right)}^2}} $$       $$ + 1$$ $$ = ?$$
  1.    0
  2.    2
  3.    1
  4.    0.404
 Discuss Question
Answer: Option B. -> 2
Question 126. $$\frac{2}{{2 + \frac{2}{{3 + \frac{2}{{3 + \frac{2}{3}}}}} \times 0.39}}$$     is simplified to = ?
  1.    $$\frac{1}{3}$$
  2.    2
  3.    6
  4.    None of these
 Discuss Question
Answer: Option D. -> None of these
Question 127. If $$a + \frac{1}{b} = 1$$   and $$b + \frac{1}{c} = 1{\text{,}}$$   then $$c + \frac{1}{a}$$   is equal to = ?
  1.    0
  2.    $$\frac{1}{2}$$
  3.    1
  4.    2
 Discuss Question
Answer: Option C. -> 1
Question 128. The simplified value of $${\left[ {{{\left( {0.111} \right)}^3} + {{\left( {0.222} \right)}^3} - {{\left( {0.333} \right)}^3} + {{\left( {0.333} \right)}^2}\left( {0.222} \right)} \right]^3} = ?$$
  1.    0.999
  2.    0
  3.    0.888
  4.    0.111
 Discuss Question
Answer: Option B. -> 0
Question 129. If $$\frac{a}{{b + c}}{\text{ = }}\frac{b}{{c + a}}$$   = $$\frac{c}{{a + b}}{\text{ = k,}}$$    then find the value of k is
  1.    -$$ \frac{1}{2}$$
  2.    1
  3.    -1
  4.    $$\frac{1}{2}$$
 Discuss Question
Answer: Option D. -> $$\frac{1}{2}$$
Question 130. If $$\frac{x}{{\left( {2x + y + z} \right)}}$$   = $$\frac{y}{{\left( {x + 2y + z} \right)}}$$   = $$\frac{z}{{\left( {x + y + 2z} \right)}}   = a{\text{,}}$$     then find a, If x + y + z ≠ 0
  1.    $$\frac{1}{3}$$
  2.    $$\frac{1}{4}$$
  3.    $$\frac{1}{2}$$
  4.    $$\frac{1}{8}$$
 Discuss Question
Answer: Option B. -> $$\frac{1}{4}$$

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