# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 86 - 92 of 968

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## Question 86

### Question

MCQ▾If are the roots of then is ________

### Choices

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

a. | -15 | |

b. | -20 | |

c. | -10 | |

d. | -5 |

## Question 87

### Question

MCQ▾The ratio between a two – digit number and the sum of digits of that number is . If the digit in the unit place is 3 more than the digit in the tenth place, what is the number?

### Choices

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

a. | 40 | |

b. | 63 | |

c. | 24 | |

d. | 36 |

## Question 88

### Question

MCQ▾The value of k for which the system of equations has no solution, is ________

### Choices

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

a. | 1 | |

b. | 10 | |

c. | 6 | |

d. | 3 |

## Question 89

### Question

MCQ▾If one zero of the polynomial is a reciprocal of the other, then k is equal to ________

### Choices

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

a. | 5 | |

b. | 7 | |

c. | 9 | |

d. | 2 |

## Question 90

### Question

MCQ▾The denominators of a rational number is greater than its numerator by 5. If 2 is subtracted from the numerator and 5 is added to the denominator, the new number becomes . Then the original number was ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 91

### Question

MCQ▾If are the roots of the equation , then the equation whose roots are and is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 92

### Question

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

### Choices

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

a. | ||

b. | ||

c. | ||

d. |