# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 261 - 268 of 968

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## Question 261

### Question

MCQ▾If one roots of is 3 times the other; the value of p is ________

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 262

### Question

MCQ▾A convex polygon has 77 diagonals. The number of its sides is ________

### Choices

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

a. | 8 | |

b. | 3 | |

c. | 14 | |

d. | 11 |

## Question 263

### Question

MCQ▾The square of a number is decreased by 24. This value is twice the original number. Then the number is ________

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 264

### Question

MCQ▾In the equation , the sum of the roots is 3 and the product of the roots is 25. Then h and k respectively, have the values ________

### Choices

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

a. | 9 and 5 | |

b. | -9 and 5 | |

c. | 9 and -5 | |

d. | -9 and -5 |

## Question 265

### Question

MCQ▾If one roots of is twice the other root, and then the value of ‘b’ is ________

### Choices

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

a. | 9 | |

b. | 3 | |

c. | ||

d. | -9 |

## Question 266

### Question

MCQ▾Solve the equation by using quadratic formula, then x is ________

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 267

### Question

MCQ▾A convex polygon has 90 diagonals. The number of its sides is ________

### Choices

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

a. | 15 | |

b. | 10 | |

c. | 19 | |

d. | 14 |

## Question 268

### Question

MCQ▾One of the two students, while solving a quadratic equation in x, copied the constant term incorrectly and got the roots 4 and 5. The other copied the constant term and coefficient of correctly as and respectively. The correct roots are

### Choices

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

a. | ||

b. | ||

c. | 5,4 | |

d. |