Simplification Questions Answers

• 15. Simplify
  $$\begin{aligned} 16-[5-(6+2(7-\overline{8-5}))] \end{aligned}$$
  

  1. 23
  2. 25
  3. 28
  4. 30

  Answer And Explanation

  Answer: Option B

  Explanation:

  $$\begin{aligned} = 16-[5-(6+2(7-8+5))] \end{aligned}$$
  (Please check due to overline, sign has been changed)
  $$\begin{aligned} = 16-[5-(6+2 \times 4))] \end{aligned}$$
  $$\begin{aligned} = 16-[-9] = 16 + 9 = 25 \end{aligned}$$
  

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• 16. Simplify
  $$\begin{aligned} 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{7}+\frac{1}{14}+\frac{1}{28} = ? \end{aligned}$$

  1. 2
  2. 2.3
  3. 2.6
  4. 5

  Answer And Explanation

  Answer: Option A

  Explanation:

  By taking LCM we get
  = $$\begin{aligned} \frac{28+14+7+4+2+1}{28} = \frac{56}{28} = 2\end{aligned}$$

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• 17. Simplify
  $$\begin{aligned} 1\frac{3}{4}+5\frac{1}{3}+3\frac{2}{5} \end{aligned}$$

  1. $$\begin{aligned}10\frac{29}{60} \end{aligned}$$
  2. $$\begin{aligned}8\frac{29}{60} \end{aligned}$$
  3. $$\begin{aligned}6\frac{29}{60} \end{aligned}$$
  4. $$\begin{aligned}4\frac{29}{60} \end{aligned}$$

  Answer And Explanation

  Answer: Option A

  Explanation:

  $$\begin{aligned} = \frac{7}{4}+\frac{16}{3}+\frac{17}{5} \end{aligned}$$
  
  $$\begin{aligned} = \frac{105+320+204}{60} \end{aligned}$$
  $$\begin{aligned} = \frac{629}{60} \end{aligned}$$
  $$\begin{aligned} = 10\frac{29}{60} \end{aligned}$$

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• 18. a * b = 2a - 3b + ab, then 3*5 + 5*3 = ?

  1. 20
  2. 21
  3. 22
  4. 23

  Answer And Explanation

  Answer: Option C

  Explanation:

  = 2(3)-3(5)+(3*5) + 2(5)-3(3)+(5*3)
  = 6-15+15+10-9+15 = 31-9 = 22
  

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• 19. $$\begin{aligned} 3034 -(1002 \div 20.04) = ? \end{aligned}$$

  1. 1964
  2. 1984
  3. 2964
  4. 2984

  Answer And Explanation

  Answer: Option D

  Explanation:

  $$\begin{aligned} = 3034 -( \frac{1002}{2004} \times 100) \end{aligned}$$
  $$\begin{aligned} = 3034 - 50 = 2984 \end{aligned}$$

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• 20. Value of
  $$\begin{aligned} \frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}} \end{aligned}$$

  1. $$\begin{aligned} \frac{6}{19} \end{aligned}$$
  2. $$\begin{aligned} \frac{7}{19} \end{aligned}$$
  3. $$\begin{aligned} \frac{8}{19} \end{aligned}$$
  4. $$\begin{aligned} \frac{9}{19} \end{aligned}$$

  Answer And Explanation

  Answer: Option C

  Explanation:

  $$\begin{aligned} = \frac{1}{2+\frac{1}{2+\frac{1}{\frac{3}{2}}}} \end{aligned}$$
  $$\begin{aligned} = \frac{1}{2+\frac{1}{2+\frac{2}{3}}} \end{aligned}$$
  
  $$\begin{aligned} = \frac{1}{2+\frac{1}{\frac{8}{3}}} \end{aligned}$$
  
  $$\begin{aligned} = \frac{1}{2+\frac{3}{8}} \end{aligned}$$
  
  $$\begin{aligned} = \frac{1}{\frac{19}{8}} \end{aligned}$$
  
  $$\begin{aligned} = \frac{8}{19} \end{aligned}$$

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• 21. The number of girls in a class are 7 times the number of boys, which value can never be the of total students

  1. 40
  2. 48
  3. 24
  4. 30

  Answer And Explanation

  Answer: Option D

  Explanation:

  Let the boys are X, then girls are 7X, total = X+7X = 8X
  
  So it should be multiple of 8, 30 is not a multiple of 8.

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