Simplification Questions Answers

• 8. Simplify
  $$\begin{aligned} \frac{\frac{7}{2}\div {\frac{5}{2}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{5}{2}} of \frac{3}{2} } \div 5.25 \end{aligned}$$

  1. $$\begin{aligned} \frac{3}{5} \end{aligned}$$
  2. $$\begin{aligned} \frac{3}{6} \end{aligned}$$
  3. $$\begin{aligned} \frac{3}{7} \end{aligned}$$
  4. $$\begin{aligned} \frac{3}{8} \end{aligned}$$

  Answer And Explanation

  Answer: Option C

  Explanation:

  $$\begin{aligned} \frac{\frac{7}{2}\div {\frac{5}{2}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{5}{2}} of \frac{3}{2} }\div 5.25 \end{aligned}$$
  
  $$\begin{aligned} = \frac{\frac{7}{2}\times {\frac{2}{5}} \times {\frac{3}{2}} }{\frac{7}{2} \div { \frac{15}{4}}}\div 5.25 \end{aligned}$$
  
  $$\begin{aligned} = \frac{\frac{21}{10}} {\frac{7}{2} \times { \frac{4}{15}}}\div {\frac{525}{100}} \end{aligned}$$
  
  $$\begin{aligned} = \frac{21}{10}\times{\frac{15}{14}}\times\frac{100}{525} = \frac{6}{14} = \frac{3}{7} \end{aligned}$$

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• 9. Value of $$\begin{aligned} 2^5 \times 9^2 \end{aligned}$$ has been written as 2596, what is the difference between actual value.

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

  Answer And Explanation

  Answer: Option D

  Explanation:

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• 10. How many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long

  1. 30
  2. 40
  3. 50
  4. 60

  Answer And Explanation

  Answer: Option C

  Explanation:

  We need so simple divide 42.5/0.85,
  =(4250/85) = 50

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• 11. Simplify
  (31/10) * (3/10) + (7/5) / 20

  1. 0
  2. 1
  3. 10
  4. 100

  Answer And Explanation

  Answer: Option B

  Explanation:

  = (31/10) * (3/10) + (7/5) / 20
  = (3.1) * (.3) + (1.4) / 20
  = 0.93 + 0.07
  = 1

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• 12. Find the value of X
  X = (6/119) * (63/8) * (17/9)

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

  Answer And Explanation

  Answer: Option C

  Explanation:

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• 13. If p - q = 3 and
  $$\begin{aligned} p^2 + q^2 = 29 \end{aligned}$$ , find the value of pq.

  1. 7
  2. 8
  3. 9
  4. 10

  Answer And Explanation

  Answer: Option D

  Explanation:

  We know
  $$\begin{aligned} 2ab = (a^2 + b^2) - (a - b)^2 \end{aligned}$$
  
  $$\begin{aligned} 2pq = 29 - 9 = 20 \end{aligned}$$
  
  $$\begin{aligned} =>pq = 10 \end{aligned}$$

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• 14. $$\begin{aligned} \frac{4+4 \times 18 -6 - 8}{123 \times 6 - 146 \times 5 } \end{aligned}$$

  1. 7.50
  2. 7.75
  3. 8
  4. 8.05

  Answer And Explanation

  Answer: Option B

  Explanation:

  $$\begin{aligned} \frac{4+72-6-8}{738-730} \end{aligned}$$
  $$\begin{aligned} = \frac{76-14}{8} \end{aligned}$$
  $$\begin{aligned} = \frac{62}{8} = 7.75 \end{aligned}$$

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