# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 116 - 123 of 968

Access detailed explanations (illustrated with images and videos) to **968** questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. *Unlimited Access, Unlimited Time, on Unlimited Devices*!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

How to register? Already Subscribed?

## Question 116

### Question

MCQ▾If a and b are the roots of the quadratic equation with the condition , then the value of ‘p’ is ________

### Choices

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

a. | 1 | |

b. | -7 | |

c. | 7 or -7 | |

d. | 7 |

## Question 117

### Question

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

### Choices

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

a. | 20 | |

b. | 80 | |

c. | 60 | |

d. | 50 |

## Question 118

### Question

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

### Choices

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

a. | 2.4 | |

b. | 2.5 | |

c. | 1.3 | |

d. | 3.2 |

## Question 119

### Question

MCQ▾When is divided by , the quotient and remainder is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 120

### Question

MCQ▾The value of k, for which the system of equations represent parallel lines is ________

### Choices

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

a. | 13 | |

b. | 9 | |

c. | 16 | |

d. | 6 |

## Question 121

### Question

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

### Choices

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

a. | ||

b. | ||

c. | ||

d. | Both b. and c. are correct |

## Question 122

### Question

MCQ▾The denominators of a rational number is greater than its numerator by 5. If 5 is subtracted from the numerator and 10 is added to the denominator, the new number becomes . Then the original number was ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 123

### Question

MCQ▾If be the zeroes of the quadratic polynomial , then the value of = ________

### Choices

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

a. | -5 | |

b. | 5 | |

c. | 4 | |

d. | -4 |