The pie chart given below represents percentage of number of students in five different schools viz. A, B, C, D and E. The total no. of students in all the schools is 1,68,000.

The below table shows the ratio of girls and boys in the given five schools.

School |
Girls : Boys |

A | 3 : 4 |

B | 2 : 3 |

C | 5 : 3 |

D | 1 : 2 |

E | 4 : 1 |

Important for :

1

C

No. of girls in school A= | 3 | × | 28 | × 168000 = 20160 |

7 | 100 |

No. of girls in school B

= | 2 | × | 15 | × 168000 = 10080 |

5 | 100 |

No. of girls in school C

= | 5 | × | 24 | × 168000 = 25200 |

8 | 100 |

No. of girls in school D

= | 1 | × | 18 | × 168000 = 10080 |

3 | 100 |

No. of girls in school E

= | 4 | × | 15 | × 168000 = 20160 |

5 | 100 |

Therefore ratio of girls = 20160 : 10080 : 25200 : 10080 : 20160

= 4 : 2 : 5 : 2 : 4

Hence, option C is correct.

2

B

Total no. of students of school A= | 28 | × 168000 = 47040 |

100 |

No. of students who change their school = 14.28% of 47040 = 6720

Total no. of students in school D

= | 18 | × 168000 = 30240 |

100 |

Therefore, percentage change in the number of students of school D

= | 6720 | × 100 = 22.22% |

30240 |

Hence, option B is correct.

3

C

No. of students from school A= | 28 | × 168000 = 47040 |

100 |

No. of students from school D

= | 18 | × 168000 = 30240 |

100 |

Total no. of students from school A and D = 77280

Average no. of students from school A and D

= | 77280 | = 38640 |

2 |

No. of students from school B

= | 15 | × 168000 = 25200 |

100 |

No. of students from school C

= | 24 | × 168000 = 40320 |

100 |

No. of students from school E

= | 15 | × 168000 = 25200 |

100 |

Total no. of students from school B, C and E = 90720

Average no. of students from school B, C and E

= | 90720 | = 30240 |

3 |

Therefore, Required ratio = 38640 : 30240 = 23 : 18

Hence, option C is correct.

4

D

No. of students from school B= | 15 | × 168000 = 25200 |

100 |

No. of students from school C

= | 24 | × 168000 = 40320 |

100 |

Difference between the no. of students of school C and school B = 40320 – 25200 = 15120

No. of students from school E

= | 15 | × 168000 = 25200 |

100 |

Therefore, reqd. answer = | 25200 | × 100 = 166.67% |

15120 |

Hence, option D is correct.

5

B

No. of boys in school A= | 4 | × | 28 | × 168000 = 26880 |

7 | 100 |

No. of boys in school B

= | 3 | × | 15 | × 168000 = 15120 |

5 | 100 |

No. of boys in school C

= | 3 | × | 24 | × 168000 = 15120 |

8 | 100 |

No. of boys in school D

= | 2 | × | 18 | × 168000 = 20160 |

3 | 100 |

No. of boys in school E

= | 1 | × | 15 | × 168000 = 5040 |

5 | 100 |

Total no. of boys in all the schools

= | 82320 | = 16464 |

5 |

Hence, option B is correct.