# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 131 - 137 of 968

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## Question 131

### Question

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

### Choices

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

a. | 1 | |

b. | 2 | |

c. | 9 | |

d. | 8 |

## Question 132

### Question

MCQ▾If are the zeroes of the polynomial , then is equal to ________

### Choices

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

a. | 1 + c | |

b. | c - 1 | |

c. | c | |

d. | 1 - c |

## Question 133

### Question

MCQ▾If are the zeroes of the quadratic polynomial , then the value of is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 134

### Question

MCQ▾Arun and Prabhat have some books with them. Once Prabhat said to Arun that if Arun gives 3 books to Prabhat then Arun will have only of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun) , then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is ________

### Choices

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

a. | 56 | |

b. | 30 | |

c. | 25 | |

d. | Can՚t be determined |

## Question 135

### Question

MCQ▾Which of the following system of equations has unique solution?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 136

### Question

MCQ▾Value of x in pair of linear equations is ________

### Choices

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

a. | 7 | |

b. | 5 | |

c. | 3 | |

d. | 4 |

## Question 137

### Question

MCQ▾The roots of the quadratic equation are in the ratio , then k equals ________

### Choices

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

a. | 17.4 | |

b. | 16.5 | |

c. | 14.4 | |

d. | 13.4 |