# IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 31 - 35 of 109

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## Question 31

### Question

MCQ▾In the given figure, O is the centre of the circle and XOY is a diameter. If XZ is any other chord of the circle, then which of the following is correct?

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 32

### Question

MCQ▾P is the mid-point of side AB to a parallelogram ABCD. A line through B parallel to PD meets DC at Q and AD produced at R. Then BR is equal to ________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | BQ | |

b. | ||

c. | 2BQ | |

d. | Question does not provide sufficient data or is vague |

## Question 33

### Question

MCQ▾A does as half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 30 days | |

b. | 35 days | |

c. | 40 days | |

d. | None of the above |

## Question 34

Appeared in Year: *2014*

### Question

MCQ▾The largest possible length of a tape which can measure , and length of clothes in a minimum number of attempts without measuring the length of a cloth in a fraction of the tape՚s length is ________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 35

Appeared in Year: *2014*

### Question

MCQ▾Find the value of p, if the mean of the following distribution is 7.5.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 6 | |

b. | 3 | |

c. | 2 | |

d. | 5 |