Pie Chart Questions Answers

• 1. What percentage of candidates passes in the Exam from institute T out of the total number of candidates enrolled from the same institute ?

  1. 75%
  2. 80%
  3. 84%
  4. 90%

  Answer :

  Option A

  Explanation:

  In this question, first we will find 8% of 8550 to get the total number of students enrolled in T, then we will calculate the 9% of 8550 to get students passes in T.
  then we will calculate their percentage,
  in short cut way we can do it as,
  \begin{aligned}
  \text{Percentage =}\left(\frac{\text{9% of 5700}}{\text{8% of 8550}}*100 \right) \% \\
  = \left( \frac{9*5700}{8*8550}*100 \right) \% \\
  = 75 \%
  \end{aligned}

• 2. What is the ratio of candidates passed to the candidates enrolled in the institute P ?
  
  

  1. 4:11
  2. 5:11
  3. 6:11
  4. 7:11

  Answer :

  Option C

  Explanation:

  \begin{aligned}
  \text{Required ratio =}\frac{\text{18% of 5700}}{\text{22% of 8550}} \\
  = \frac{18*5700}{22*8550} \\
  = \frac{6}{11}\\
  = 6:11
  \end{aligned}

• 3. What is the percentage of candidates passed to the candidates enrolled for the institutes Q and R together?
  
  

  1. 76%
  2. 80%
  3. 82%
  4. 86%

  Answer :

  Option B

  Explanation:

  Candidates passed from the institutes Q and R together = [13%+17%] of 5700 = 30% of 5700
  Candidates enrolled from the institutes Q and R together = [15%+10%] of 8550 = 25% of 8550
  \begin{aligned}
  \text{Required Percentage =}\\
  \left(\frac{\text{30% of 5700}}{\text{25% of 8550}}*100\right) \% \\
  = \left(\frac{30 * 5700}{25 * 8550}*100\right) \% \\
  = 80 \%
  \end{aligned}

• 4. Which institute has the highest percentage of candidates passed to the candidates enrolled ?

  1. V
  2. T
  3. Q
  4. R

  Answer :

  Option D

  Explanation:

  \begin{aligned}
  V=\left(\frac{\text{15% of 5700}}{\text{12% of 8550}}*100\right) \% \\
  = 83.33\% \\
  T=\left(\frac{\text{9% of 5700}}{\text{8% of 8550}}*100\right) \% \\
  = 75\% \\
  Q=\left(\frac{\text{17% of 5700}}{\text{15% of 8550}}*100\right) \% \\
  = 76.56\% \\
  R=\left(\frac{\text{13% of 5700}}{\text{10% of 8550}}*100\right) \% \\
  = 86.67\% \\
  \end{aligned}
  So R is maximum.
  
  

• 5. The number of candidates passed from institutes S and P together exceeds the number of candidates enrolled from institutes T and R together by:

  1. 359
  2. 379
  3. 389
  4. 399

  Answer :

  Option D

  Explanation:

  Required Difference = [(16% + 18%) of 5700]- [(8% + 10%) of 8550]
  = [(34% of 5700)-(18% of 8550)]
  = 1938 - 1539
  = 399