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. \(2197 \div 21.05 + \frac{2}{3} \times 4224 - 15.5 = ?\)

    1. 2905
    2. 2824
    3. 2566
    4. 2422


Answer: (a) 2905

Solution: $$ = 2197 \div 21.05 + \frac{2}{3} \times 4224 - 15.5 $$ $$ = 2197 \div 21 + \frac{2}{3} \times 4224 - 15.5 $$ $$ = 104.6 + 2816 - 15.5 $$ $$ = 2905.1 \approx 2905 $$

  1. \(1429 - 4.71 \times 25.5 - ?^2 = 1250\)

    1. 6
    2. 8
    3. 9
    4. 12


Answer: (b) 8

Solution: $$ 1429 - 4.71 \times 25.5 - ?^2 = 1250 $$ $$ 1429 - 5 \times 25 - ?^2 = 1250 $$ $$ 1429 - 125 - ?^2 = 1250 $$ $$ 1429 - 125 - 1250 = ?^2 $$ $$ 54 = ?^2 $$ $$ \sqrt{54} = ? $$ $$ 8 \approx ? $$

  1. \(1825 \div 35.2 + 25.11 \times \sqrt{365} = ?\)

    1. 205
    2. 306
    3. 450
    4. 502


Answer: (d) 502

Solution: $$ = 1825 \div 35.2 + 25.11 \times \sqrt{365} $$ $$ = 1825 \div 35 + 25 \times \sqrt{365} $$ $$ = 52.14 + 25 \times 18 $$ $$ = 52 + 450 = 502 $$

  1. \(?\) + 25.2% of 545 \(\div\) 16.8% of 149.78 = 210

    1. 205
    2. 302
    3. 406
    4. 502


Answer: (a) 205

Solution: $$ ? + 25.2% of 545 \div 16.8% of 149.78 = 210 $$ $$ ? + 25% of 545 \div 17% of 150 = 210 $$ $$ ? + \frac{25 \times 545}{100} \div \frac{17 \times 150}{100} = 210 $$ $$ ? + 136.25 \div 25.5 = 210 $$ $$ ? + 136 \div 25 = 210 $$ $$ ? + 5.44 = 210 $$ $$ ? = 204.56 \approx 205 $$

  1. \(4232 \div 15.98 - 2126 \div 18.97 = ?\)

    1. 126
    2. 153
    3. 162
    4. 178


Answer: (b) 153

Solution: $$ = 4232 \div 15.98 - 2126 \div 18.97 $$ $$ = 4232 \div 16 - 2126 \div 19 $$ $$ = 264.5 - 111.89 $$ $$ = 265 - 112 = 153 $$

  1. \(2 \frac{3}{5} \times 4 \frac{5}{3} \times 3 \frac{6}{7} = ?\)

    1. 72
    2. 82
    3. 92
    4. 98


Answer: (a) 72

Solution: $$ = 2 \frac{3}{5} \times 4 \frac{5}{3} \times 3 \frac{6}{7} $$ $$ = \frac{13}{5} \times \frac{17}{3} \times \frac{27}{7} $$ $$ = 2.6 \times 5.6 \times 3.84 $$ $$ = 3 \times 6 \times 4 $$ $$ = 72 $$

  1. \(4225 \div 25 \div 5 = ?\)

    1. 26
    2. 34
    3. 42
    4. 53


Answer: (b) 34

Solution: $$ = 4225 \div 25 \div 5 $$ $$ = \frac{4225}{25 \times 5} $$ $$ = 33.8 \approx 34 $$

  1. 12.05% of 444 \(\div\) (22.2% of 152.8) + ? = 112

    1. 133
    2. 120
    3. 110
    4. 102


Answer: (c) 110

Solution: 12% of 444 \(\div\) (22% of 153) + ? = 112 $$ 53.28 \div 33.66 + ? = 112 $$ $$ 53 \div 34 + ? = 112 $$ $$ 1.56 + ? = 112 $$ $$ ? = 112 - 1.56 $$ $$ = 110.44 \approx 110 $$

  1. 1533.10 - 15.02 \(\times\) 12.94 + \(?^2\) = 1456

    1. 22
    2. 18
    3. 15
    4. 11


Answer: (d) 11

Solution: $$ 1533 - 15 \times 13 + ?^2 = 1456 $$ $$ 1533 - 195 + ?^2 = 1456 $$ $$ ?^2 = 118 $$ $$ ? = \sqrt{118} $$ $$ ? \approx 11 $$

  1. 1568 \(\div\) 26.94 + 22.02 \(\times \sqrt{577}\) = ?

    1. 532
    2. 556
    3. 586
    4. 598


Answer: (c) 586

Solution: $$ = 1568 \div 27 + 22 \times \sqrt{577} $$ $$ = 58 + 22 \times 24 $$ $$ = 58 + 528 \approx 586 $$