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## Arithmetic: Ratio and Proportion Test-5

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Question 1 |

The sum of the three consecutive odd numbers is 285. What is the ratio of the smallest and largest numbers respectively?

97: 95 | |

93: 95 | |

95: 93 | |

93: 97 |

Question 1 Explanation:

Let the smallest number be 2x+1

The other numbers are 2x+3 and 2x+5

So,6x+9=285

x=46

So ratio is 93:97

The other numbers are 2x+3 and 2x+5

So,6x+9=285

x=46

So ratio is 93:97

Question 2 |

Three-fourth of a number is equal to 60% of another number. What is the difference between the numbers?

18 | |

32 | |

24 | |

Cannot be determined |

Question 2 Explanation:

Let the numbers be x and y
So,3/4Ã—x=60/100Ã—y
We can find a relation between x and y but cant find the difference

Question 3 |

The present ages of A, Band C are In the ratio of 8: 14: 22 respectively. The present ages of B, C and D are in the ratio of 21: 33: 44 respectively. Which of the following represents the ratio of the present ages of A, B, C and D respectively?

12: 21: 33: 44 | |

12: 22: 31: 44 | |

12: 21: 36: 44 | |

Cannot be determined |

Question 3 Explanation:

Present age ratio of A,B and C is 8:14:22 which can also be written as 24:42:66
Similarly, ages of B,C and D is 21:33:44 which can also be written as 42:66:88
So the ratio of ages is 24:42:66:88 which is equivalent to 12:21:33:44

Question 4 |

The ratio between the adjacent angles of a parallelogram is 7 : 8 respectively. Also the ratio between the angles of quadrilateral is 5 : 6 : 7 : 12.What is the sum of the smaller angle of parallelogram and second largest angle of the quadrilateral ?

168 | |

228 | |

1560 | |

224 |

Question 4 Explanation:

Let the common ratio of angles of parallelogram be x

As the opposite angles of a parallelogram are equal and the sum of adjacent angles is 180

7x+8x=180

x=12

The angles of the parallelogram are 84,96,84 and 96

Let the common ratio of angles of quadrilateral be y

Then 5y+6y+7y+12y=360

y=12

Second largest angle is 7y which is 84

So the sum is 168

As the opposite angles of a parallelogram are equal and the sum of adjacent angles is 180

7x+8x=180

x=12

The angles of the parallelogram are 84,96,84 and 96

Let the common ratio of angles of quadrilateral be y

Then 5y+6y+7y+12y=360

y=12

Second largest angle is 7y which is 84

So the sum is 168

Question 5 |

The ages of Sonal and Nitya are in the ratio of 9 : 5 respectively. After 8 years the ratio of their ages will be 13 ; 9. What Is the difference In years between their ages?

4 years | |

12 years | |

6 years | |

8 years |

Question 5 Explanation:

Let the ratio of present ages be x

Then, age of Sonal=9x

Age of Nitya=5x

So after 8 years,(9x+8)/(5x+8)=13/9

81x+72=65x+104

x=2

Difference between their ages is 4x=8

Then, age of Sonal=9x

Age of Nitya=5x

So after 8 years,(9x+8)/(5x+8)=13/9

81x+72=65x+104

x=2

Difference between their ages is 4x=8

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