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?
- \(1200.12 \times \sqrt{?}\) + \(24.84 \times \sqrt{80}\) = 2500
- 1
- 2
- 3
- 4
Answer: (d) 4Solution: $$ 1200 \times \sqrt{?} + 25 \times 9 = 2500 $$ $$ 1200 \times \sqrt{?} + 225 = 2500 $$ $$ 1200 \times \sqrt{?} = 2500 - 225 $$ $$ 1200 \times \sqrt{?} = 2275 $$ $$ \sqrt{?} = \frac{2275}{1200} $$ $$ \sqrt{?} = 1.89 $$ $$ \sqrt{?} = 2 $$ $$ ? = (2)^2 $$ $$ ? \approx 4 $$
- \((15.02)^2 \div ? \times 16.78 \times 4.92\) = 450.01
- 42
- 45
- 48
- 51
Answer: (a) 42Solution: $$ (15)^2 \div ? \times 17 \times 5 = 450 $$ $$ \frac{15 \times 15 \times 17 \times 5}{450} $$ $$ ? = 42.5 \approx 42 $$
- \((1175.05 + 524.88) \div 14.75 = ?\)
- 105
- 113
- 120
- 128
Answer: (b) 113Solution: $$ (1175 + 525) \div 15 = ? $$ $$ 1700 \div 15 = ? $$ $$ ? = 113.34 $$ $$ ? \approx 113 $$
- \(2251 \div 24.78 \div \sqrt{170} \times 2.75 = ?\)
- 15
- 21
- 27
- 36
Answer: (b) 21Solution: $$ 2250 \div 25 \div \sqrt{170} \times 3 = ? $$ $$ \frac{2250}{25 \times 13} \times 3 = ? $$ $$ ? \approx 21 $$
- \((225 \ \% \ of \ 280) \div 125 = ?\)
- 9
- 7
- 5
- 3
Answer: (c) 5Solution: $$ \left(\frac{225 \times 280}{100}\right) \div 125 = ? $$ $$ 630 \div 125 = ? $$ $$ ? \approx 5 $$
- \((17.5 \ \% \ of \ 1999)^{\frac{1}{3}}\) + \((24.02 \ \% \ of \ 499)^{\frac{1}{2}}\) = ?
- 12
- 15
- 18
- 21
Answer: (c) 18Solution: $$ \left(\frac{17.5 \times 2000}{100}\right)^{\frac{1}{3}} + \left(\frac{24 \times 500}{100}\right)^{\frac{1}{2}} = ? $$ $$ (350)^{\frac{1}{3}} + (120)^{\frac{1}{2}} = ? $$ $$ 7 + 11 = ? $$ $$ 18 \approx ? $$
- \(\left[(4.85)^2 - (6.79)^3 + (9.02)^3\right]^2\) = ?
- 168,921
- 152,223
- 142,220
- 136,456
Answer: (a) 168,921Solution: $$ \left[(5)^2 - (7)^3 + (9)^3\right]^2 = ? $$ $$ \left[25 - 343 + 729\right]^2 = ? $$ $$ ? = [411]^2 $$ $$ ? \approx 168,921 $$
- \(\frac{520}{18} \times \frac{445}{26} \div \frac{34}{345}\) = ?
- 4130
- 4230
- 4530
- 4930
Answer: (d) 4930Solution: $$ \frac{520}{18} \times \frac{445}{26} \times \frac{345}{34} = ? $$ $$ 28.89 \times 17.11 \times 10.14 = ? $$ $$ 29 \times 17 \times 10 = ? $$ $$ ? \approx 4930 $$
- 999.93 + 999.75 \(\div\) 19.94 \(\times\) 29.96 = ?
- 1500
- 2500
- 3500
- 4500
Answer: (b) 2500Solution: $$ 1000 + 1000 \div 20 \times 30 = ? $$ $$ 1000 + \frac{1000}{20} \times 30 = ? $$ $$ 1000 + 1500 = ? $$ $$ 2500 \approx ? $$
- \(889 \div (4.9 \times 3) + 199.98 = ?\)
- 260
- 230
- 220
- 212
Answer: (a) 260Solution: $$ 890 \div (5 \times 3) + 200 = ? $$ $$ 890 \div 15 + 200 = ? $$ $$ 59.33 + 200 = ? $$ $$ 260 \approx ? $$