# 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 will come in place of question mark $$?$$ in the following questions?

1. 28% of 345 - 18% of 355 + 21% of 225 = ?

1. 56.65
2. 68.65
3. 79.95
4. 82.35

Solution: 28% of 345, $$= \frac{28 \times 345}{100} = 96.6$$ 18% of 355, $$= \frac{18 \times 355}{100} = 63.9$$ 21% of 225, $$= \frac{21 \times 225}{100} = 47.25$$ $$= 96.6 - 63.9 + 47.25$$ $$= 79.95$$

1. $$\frac{4}{7} \ of \ \frac{3}{8} \ of \ \frac{6}{7} \ of \ 1550 = ?$$

1. 284.69
2. 244.36
3. 235.12
4. 236.32

Solution: $$= \frac{4 \times 3 \times 6 \times 1550}{7 \times 8 \times 7}$$ $$= 284.69$$

1. $$(5)^{110} \div (5)^{107} = ?$$

1. 64
2. 125
3. 216
4. 343

Solution: $$= (5)^{110} \div (5)^{107}$$ $$= (5)^{110 - 107}$$ $$= (5)^3 = 125$$

1. $$\left(\frac{1}{125}\right)^{- \frac{4}{3}} \div \left(\frac{1}{64}\right)^{- \frac{1}{3}} = ?$$

1. 122.25
2. 136.58
3. 142.25
4. 156.25

Solution: $$= \left(\frac{1}{125}\right)^{- \frac{4}{3}} \div \left(\frac{1}{64}\right)^{- \frac{1}{3}}$$ $$= (125)^{\frac{4}{3}} \div (64)^{\frac{1}{3}}$$ $$= (5)^{3 \times \frac{4}{3}} \div (4)^{3 \times \frac{1}{3}}$$ $$= (5)^4 \div (4)^1$$ $$= 625 \div 4$$ $$= 156.25$$

1. $$3 \sqrt{3} \times 3^4 \div (3)^{\frac{5}{2}} = (3)^{3 + ?}$$

1. 0
2. 1
3. 2
4. 3

Solution: $$3 \sqrt{3} \times 3^4 \div (3)^{\frac{5}{2}} = (3)^{3 + ?}$$ $$3 \times (3)^{\frac{1}{2}} \times 3^4 \times (3)^{- \frac{5}{2}} = (3)^{3 + ?}$$ $$(3)^{1 + \frac{1}{2} + 4 - \frac{5}{2}} = (3)^{3 + ?}$$ $$(3)^3 = (3)^{3 + ?}$$ $$3 = 3 + ?$$ $$? = 0$$

1. $$\{5 \times (221 + 25 - 111)\} = ?$$

1. 575
2. 625
3. 650
4. 675

Solution: $$= \{5 \times (221 + 25 - 111)\}$$ $$= \{5 \times 135\} = 675$$

1. $$4250 \div \sqrt{529} + 225 = ?$$

1. 409.78
2. 405.56
3. 403.25
4. 401.46

Solution: $$= 4250 \div \sqrt{529} + 225$$ $$= 4250 \div 23 + 225$$ $$= 184.78 + 225$$ $$= 409.78$$

1. $$\left[\{(5)^3 \times (6)^3 - (4)^3 \} \div (7)^2\right] = ?$$

1. 523.7
2. 525.6
3. 549.7
4. 552.9

Solution: $$= \left[\{(5)^3 \times (6)^3 - (4)^3 \} \div (7)^2\right]$$ $$= \left[\{125 \times 216 - 64 \} \div 49\right]$$ $$= \left[26936 \div 49\right]$$ $$= 549.7$$

1. $$225 \div 5 + 150 \div 3 = ?$$

1. 75
2. 85
3. 95
4. 98

Solution: $$= 225 \div 5 + 150 \div 3$$ $$= 45 + 50 = 95$$

1. $$(30)^{2} \div \sqrt{?} + 220 = 520$$

1. 6
2. 9
3. 12
4. 15

Solution: $$(30)^{2} \div \sqrt{?} + 220 = 520$$ $$(30)^{2} \div \sqrt{?} = 220$$ $$\sqrt{?} = \frac{900}{300}$$ $$\sqrt{?} = 3$$ $$? = 3^2$$ $$? = 9$$