Simplification - Aptitude MCQ Questions and Solutions with Explanations

Answer: Option B

Let the missing number is x.
then, $$\frac{{354750}}{{4096 + x}}$$   = 55
⇒ 55( 4096 + x ) = 354750
⇒ 55x = 354750 - 225280
⇒ 55x = 129470
⇒ x = 2354

Answer: Option D

$$\eqalign{ & {\text{According to question}} \cr & \frac{{\frac{5}{3} \times \frac{7}{{51}}{\text{of}}\frac{17}{5} - \frac{1}{3}}}{{\frac{2}{9} \times \frac{5}{7}{\text{of}}\frac{{28}}{5} - \frac{2}{3}}}\, \cr & \Rightarrow \frac{{\frac{5}{3} \times \frac{7}{{51}} \times \frac{17}{5} - \frac{1}{3}}}{{\frac{2}{9} \times \frac{5}{7} \times \frac{{28}}{5} - \frac{2}{3}}}\, \cr & \Rightarrow \frac{{\frac{5}{3} \times \frac{7}{{15}} - \frac{1}{3}}}{{\frac{2}{9} \times 4 - \frac{2}{3}}} \cr & \, \Rightarrow \frac{{\frac{7}{9} - \frac{1}{3}}}{{\frac{8}{9} - \frac{2}{3}}} \cr & \, \Rightarrow \frac{{\frac{{7 - 3}}{9}}}{{\frac{{8 - 6}}{9}}} \cr & \Rightarrow \frac{4}{2} \cr & \Rightarrow 2 \cr} $$

Answer: Option B

$$\eqalign{ & {\text{Let,}} \cr & {\text{853 + }}x \div 17 = 1000 \cr & {\text{Then,}} \cr & {\text{853 + }}\frac{x}{{17}} = 1000 \cr & \Leftrightarrow \frac{x}{{17}} = 1000 - 853 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 147 \cr & \Leftrightarrow x = 147 \times 17 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = 2499 \cr} $$

Answer: Option D

$$\eqalign{ & {\text{Let,}} \cr & \left( {x - 968} \right) \div 79 \times 4 = 512 \cr & {\text{Then,}} \cr & \frac{{x - 968}}{{79}} \times 4 = 512 \cr & \Rightarrow x - 968 = \frac{{512 \times 79}}{4} \cr & \Rightarrow x - 968 = 10112 \cr & \Rightarrow x = 10112 + 968 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = 11080 \cr} $$

Answer: Option A

Given Expression
= 1 - [ 1 - { 1 - ( 1 - 0 ) } ]
= 1 - [ 1 - ( 1 - 1 ) ]
= 1 - [ 1 - 0 ]
= 0