# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 101 - 108 of 968

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## Question 101

### Question

MCQ▾Every cubic polynomial can have at the most ________

### Choices

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

a. | Three zero | |

b. | Nine zeroes | |

c. | Seven zeroes | |

d. | Five zeroes |

## Question 102

### Question

MCQ▾The equations representing the given graph is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 103

### Question

MCQ▾A pair of linear equations in two variables x and y is and , such that , then it has ________.

### Choices

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

a. | Can՚t say | |

b. | Infinitely many solutions | |

c. | Unique solution | |

d. | No solution |

## Question 104

### Question

MCQ▾The digit at the ten՚s place of a two digit number is twice the digit at the unit՚s place. If the sum of this number and the number formed by reversing the digits is 165, find the number.

### Choices

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

a. | 52 | |

b. | 63 | |

c. | 24 | |

d. | 105 |

## Question 105

### Question

MCQ▾If are two numbers such that . Then are the roots of the quadratic equation ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 106

### Question

MCQ▾The difference of roots of the quadratic equation is ________

### Choices

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

a. | -9 | |

b. | -10 | |

c. | 10 | |

d. | 9 |

## Question 107

## Question 108

### Question

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

### Choices

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

a. | 0 | |

b. | 8 | |

c. | 6 | |

d. | 2 |