# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 541 - 548 of 931

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## Question 541

### Question

MCQ▾Find the remainder when is divided by .

### Choices

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

a. | -5 | |

b. | -4 | |

c. | -9 | |

d. | -7 |

## Question 542

## Question 543

### Question

MCQ▾The solution of the equations and is________.

### Choices

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

a. | x = 0 , y = 0 | |

b. | x = 8 , y = 5 | |

c. | x = 18 , y = 12 | |

d. | No solution |

## Question 544

### Question

MCQ▾Group the given figures into three classes using each figure only once.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 545

### Question

MCQ▾Mean marks scored by 50 students were found to be 70. Later it was observed that a score of 45 was misread as 54. Then the correct mean is ________

### Choices

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

a. | 69 | |

b. | 59 | |

c. | 69.82 | |

d. | 79.82 |

## Question 546

### Question

MCQ▾Ram is the brother of Shyam and Mahesh is father of Ram. Jagat is the brother of Priya and Priya is daughter of Shyam. Who is the uncle of Jagat?

### Choices

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

a. | Shyam | |

b. | Ram | |

c. | Mahesh | |

d. | None of the above |

## Question 547

### Question

MCQ▾The value of k for which is a factor of is ________.

### Choices

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

a. | ||

b. | ||

c. | 7 | |

d. |

## Question 548

### Question

MCQ▾P and Q can do a piece of work in 15 days and Q alone can do it in 30 days. The time taken by P alone to do the work is ________

### Choices

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

a. | 12 days | |

b. | 35 days | |

c. | 30 days | |

d. | 40 days |