# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 153 - 160 of 968

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## Question 153

### Question

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

### Choices

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

a. | 0 | |

b. | ||

c. | 2 | |

d. | 1 |

## Question 154

### Question

MCQ▾Which of the following system of equations has no solution?

### Choices

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

a. | ||

b. | ||

c. | ||

d. | Question does not provide sufficient data or is vague |

## Question 155

### Question

MCQ▾Quadratic polynomial having sum of its zeroes -10 and product of its zeroes 25 is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 156

### Question

MCQ▾If the sum of the squares of zeroes of the polynomial is , find the value of k

### Choices

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

a. | 2 | |

b. | -2 | |

c. | 4 | |

d. | 3 |

## Question 157

### Question

MCQ▾The number of values of k for which the system of equations has atleast one solution is ________

### Choices

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

a. | 6 | |

b. | -6 | |

c. | 9 | |

d. | -9 |

## Question 158

### Question

MCQ▾Every quadratic polynomial can have at the most ________

### Choices

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

a. | Four zeroes | |

b. | Two zeroes | |

c. | One zero | |

d. | Three zeroes |

## Question 159

### Question

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

### Choices

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

a. | = 0 | |

b. | = 3 | |

c. | ||

d. |

## Question 160

### Question

MCQ▾Neha and Anjali have some books with them. Once Anjali said to Neha that if Neha gives 10 books to Anjali then Neha will have only of the books that Anjali will have with him. Then Neha asked frankly that if Anjali gives him only 15 books (to Neha) , then Anjali will have as many books as Neha will have. The total number of books that Neha and Anjali have with them is ________

### Choices

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

a. | 60 | |

b. | 30 | |

c. | 80 | |

d. | 40 |