# 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. $$1200.12 \times \sqrt{?}$$ + $$24.84 \times \sqrt{80}$$ = 2500

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

Solution: $$1200 \times \sqrt{?} + 25 \times 9 = 2500$$ $$1200 \times \sqrt{?} + 225 = 2500$$ $$1200 \times \sqrt{?} = 2500 - 225$$ $$1200 \times \sqrt{?} = 2275$$ $$\sqrt{?} = \frac{2275}{1200}$$ $$\sqrt{?} = 1.89$$ $$\sqrt{?} = 2$$ $$? = (2)^2$$ $$? \approx 4$$

1. $$(15.02)^2 \div ? \times 16.78 \times 4.92$$ = 450.01

1. 42
2. 45
3. 48
4. 51

Solution: $$(15)^2 \div ? \times 17 \times 5 = 450$$ $$\frac{15 \times 15 \times 17 \times 5}{450}$$ $$? = 42.5 \approx 42$$

1. $$(1175.05 + 524.88) \div 14.75 = ?$$

1. 105
2. 113
3. 120
4. 128

Solution: $$(1175 + 525) \div 15 = ?$$ $$1700 \div 15 = ?$$ $$? = 113.34$$ $$? \approx 113$$

1. $$2251 \div 24.78 \div \sqrt{170} \times 2.75 = ?$$

1. 15
2. 21
3. 27
4. 36

Solution: $$2250 \div 25 \div \sqrt{170} \times 3 = ?$$ $$\frac{2250}{25 \times 13} \times 3 = ?$$ $$? \approx 21$$

1. $$(225 \ \% \ of \ 280) \div 125 = ?$$

1. 9
2. 7
3. 5
4. 3

Solution: $$\left(\frac{225 \times 280}{100}\right) \div 125 = ?$$ $$630 \div 125 = ?$$ $$? \approx 5$$

1. $$(17.5 \ \% \ of \ 1999)^{\frac{1}{3}}$$ + $$(24.02 \ \% \ of \ 499)^{\frac{1}{2}}$$ = ?

1. 12
2. 15
3. 18
4. 21

Solution: $$\left(\frac{17.5 \times 2000}{100}\right)^{\frac{1}{3}} + \left(\frac{24 \times 500}{100}\right)^{\frac{1}{2}} = ?$$ $$(350)^{\frac{1}{3}} + (120)^{\frac{1}{2}} = ?$$ $$7 + 11 = ?$$ $$18 \approx ?$$

1. $$\left[(4.85)^2 - (6.79)^3 + (9.02)^3\right]^2$$ = ?

1. 168,921
2. 152,223
3. 142,220
4. 136,456

Solution: $$\left[(5)^2 - (7)^3 + (9)^3\right]^2 = ?$$ $$\left[25 - 343 + 729\right]^2 = ?$$ $$? = [411]^2$$ $$? \approx 168,921$$

1. $$\frac{520}{18} \times \frac{445}{26} \div \frac{34}{345}$$ = ?

1. 4130
2. 4230
3. 4530
4. 4930

Solution: $$\frac{520}{18} \times \frac{445}{26} \times \frac{345}{34} = ?$$ $$28.89 \times 17.11 \times 10.14 = ?$$ $$29 \times 17 \times 10 = ?$$ $$? \approx 4930$$

1. 999.93 + 999.75 $$\div$$ 19.94 $$\times$$ 29.96 = ?

1. 1500
2. 2500
3. 3500
4. 4500

Solution: $$1000 + 1000 \div 20 \times 30 = ?$$ $$1000 + \frac{1000}{20} \times 30 = ?$$ $$1000 + 1500 = ?$$ $$2500 \approx ?$$

1. $$889 \div (4.9 \times 3) + 199.98 = ?$$

1. 260
2. 230
3. 220
4. 212

Solution: $$890 \div (5 \times 3) + 200 = ?$$ $$890 \div 15 + 200 = ?$$ $$59.33 + 200 = ?$$ $$260 \approx ?$$