# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 170 - 176 of 968

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## Question 170

### Question

MCQ▾A cubic polynomial with the sum of its zeroes, sum of the product of its zeroes taken two at a time, and the product of its zeroes as -5,9, 17 respectively, is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 171

### Question

MCQ▾In a the three angles will be ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 172

## Question 173

### Question

MCQ▾The sum of two numbers is 10 and the sum of their squares is 50. The numbers are ________

### Choices

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

a. | 12 and 7 | |

b. | 2 and 8 | |

c. | 5 and 5 | |

d. | 8 and 6 |

## Question 174

### Question

MCQ▾The sum of a two digit number and the number obtained by interchanging the digits of the number is 132. If the digits of the number differ by 2, then numbers are ________

### Choices

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

a. | 23,32 | |

b. | 75,57 | |

c. | 29,92 | |

d. | 13,31 |

## Question 175

### Question

MCQ▾The value of k for which the system of equations has a unique solution, is ________

### Choices

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

a. | = 2 | |

b. | ||

c. | = 1 | |

d. |

## Question 176

### Question

MCQ▾The sum of two numbers is 20 and the sum of their squares is 40. The numbers are ________

### Choices

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

a. | 14 and 25 | |

b. | 12 and 15 | |

c. | 12 and 17 | |

d. | 13 and 16 |