Simplification Aptitude Questions and Answers:


Overview:


Questions and Answers Type:MCQ (Multiple Choice Questions).
Main Topic:Quantitative Aptitude.
Quantitative Aptitude Sub-topic:Simplification Aptitude Questions and Answers.
Number of Questions:10 Questions with Solutions.

Directions: What Approximate value will come in place of question mark \(?\) in the following questions?


  1. \(3^?\) = 27.05 \(\div\) 145.02 \(\times\) 1304.95 \(\div\) 8.99

    1. 1
    2. 2
    3. 3
    4. 4


Answer: (c) 3

Solution: $$ 3^? = 27.05 \div 145.02 \times 1304.95 \div 8.99 $$ $$ 3^? = 27 \div 145 \times 1305 \div 9 $$ $$ 3^? = \frac{27}{145} \times \frac{1305}{9} $$ $$ 3^? = 27 $$ $$ 3^? = 3^3 $$ $$ ? \approx 3 $$

  1. \(\frac{559.99}{?} = \sqrt{168.97} + \sqrt{48.95}\)

    1. 28
    2. 32
    3. 38
    4. 42


Answer: (a) 28

Solution: $$ \frac{559.99}{?} = \sqrt{168.97} + \sqrt{48.95} $$ $$ \frac{560}{?} = \sqrt{169} + \sqrt{49} $$ $$ \frac{560}{?} = 13 + 7 $$ $$ \frac{560}{20} = ? $$ $$ 28 \approx ? $$

  1. 24.79% of 440.02 \(\div\) ? = 336.23 \(\div \sqrt{143.87}\)

    1. 1
    2. 2
    3. 3
    4. 4


Answer: (d) 4

Solution: 25% of 440 \(\div\) ? = 336 \(\div \sqrt{144}\) $$ \frac{25 \times 440}{100} \div ? = \frac{336}{12} $$ $$ ? = \frac{110}{28} = 3.92 $$ $$ ? \approx 4 $$

  1. \((? \div 15.78) \times 15.05\) = 10.01% of 1220.06

    1. 105
    2. 110
    3. 123
    4. 130


Answer: (d) 130

Solution: $$ (? \div 16) \times 15 = 10 \ \% \ of 1220 $$ $$ \frac{?}{16} \times 15 = \frac{10 \times 1220}{100} $$ $$ ? \approx 130 $$

  1. ?% of 119.92 = \(\sqrt{(12.2)^2 + (8)^2 + 19.2 \ \% \ of \ 1000}\)

    1. 12
    2. 17
    3. 21
    4. 27


Answer: (b) 17

Solution: ?% of 120 = \(\sqrt{(12)^2 + (8)^2 + 19 \ \% \ of \ 1000}\) $$ \frac{? \times 120}{100} = \sqrt{144 + 64 + 190} $$ $$ \frac{? \times 120}{100} = \sqrt{398} $$ $$ \frac{? \times 120}{100} = 20 $$ $$ ? = \frac{20 \times 100}{120} $$ $$ ? \approx 17 $$

  1. ?% of (120.02 \(\times\) 5.87 - 249.92) = 440.21

    1. 94
    2. 87
    3. 81
    4. 76


Answer: (a) 94

Solution: $$ ? \ \% \ of \ (120 \times 6 - 250) = 440 $$ $$ ? \ \% \ of \ (720 - 250) = 440 $$ $$ ? \ \% \ of \ 470 = 440 $$ $$ \frac{? \times 470}{100} = 440 $$ $$ ? = \frac{440 \times 100}{470} $$ $$ ? \approx 94 $$

  1. \(\sqrt{125.01 \times 3.03 + 250}\) = 3.02 + \(\sqrt{?}\)

    1. 498
    2. 484
    3. 478
    4. 768


Answer: (b) 484

Solution: $$ \sqrt{125 \times 3 + 250} = 3 + \sqrt{?} $$ $$ \sqrt{625} = 3 + \sqrt{?} $$ $$ 25 = 3 + \sqrt{?} $$ $$ 22 = \sqrt{?} $$ $$ (22)^2 = ? $$ $$ 484 \approx ? $$

  1. \(\frac{(0.8)^3 - (0.4)^3}{(0.8)^3 + (0.4)^3} = ?\)

    1. \(\frac{7}{5}\)
    2. \(\frac{7}{9}\)
    3. \(\frac{9}{7}\)
    4. \(\frac{5}{7}\)


Answer: (b) \(\frac{7}{9}\)

Solution: $$ = \frac{0.512 - 0.064}{0.512 + 0.064} $$ $$ = \frac{0.448}{0.576} = \frac{7}{9} $$

  1. \(\frac{?^{0.4}}{81} = \frac{256}{?^{3.6}}\)

    1. 12
    2. 15
    3. 16
    4. 18


Answer: (a) 12

Solution: $$ \frac{?^{0.4}}{81} = \frac{256}{?^{3.6}} $$ $$ ?^{0.4} \times ?^{3.6} = 81 \times 256 $$ $$ ?^{4} = 3^4 \times 4^4 $$ $$ ? = 3 \times 4 = 12 $$

  1. \(3 \frac{4}{5} \times 2 \frac{5}{7} + 4 \frac{7}{5} = ?\)

    1. 12
    2. 14
    3. 16
    4. 20


Answer: (b) 14

Solution: $$ = 3 \frac{4}{5} \times 2 \frac{5}{7} + 4 \frac{7}{5} $$ $$ = \frac{19}{5} \times \frac{19}{7} + \frac{19}{5} $$ $$ = \frac{361}{35} + \frac{19}{5} $$ $$ = \frac{494}{35} = 14.11 $$ $$ \approx 14 $$