# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 607 - 614 of 1042

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## Question 607

### Question

MCQ▾A sum of money is sufficient to pay wages for 31 days and wages for 38 days. The same money is sufficient to pay the wages of both for ________.

### Choices

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

a. | 11 days | |

b. | 10 days | |

c. | 12 days | |

d. | 17 days |

## Question 608

## Question 609

### Question

MCQ▾When simplified, is equal to________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. | 1 |

## Question 610

### Question

Match List-Ⅰ List-Ⅱ▾Match the following provided that and are any rational numbers different from zero and , are any rational numbers.

List-Ⅰ (Terms with Same Base Different Exponent) | List-Ⅱ (Use of Basic Exponent Rules) |
---|---|

(A) | (i) |

(B) | (ii) |

(C) | (iii) |

### Choices

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

- (A)
- (B)
- (C)
| ||

a. | - (ii)
- (iii)
- (i)
| |

b. | - (i)
- (ii)
- (iii)
| |

c. | - (ii)
- (i)
- (iii)
| |

d. | All of the above |

## Question 611

### Question

MCQ▾If is a factor of , then the value of must be________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 612

## Question 613

### Question

MCQ▾Reducing the expression to lowest terms, we get________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 614

### Question

MCQ▾If is a factor of , then the value of must be________.

### Choices

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

a. | ||

b. | ||

c. | 52 | |

d. |