# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 283 - 291 of 968

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## Question 283

### Question

MCQ▾Which of the statements given below is correct. If discriminant for equation is D________

### Choices

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

a. | Not determined | |

b. | ||

c. | ||

d. |

## Question 284

### Question

MCQ▾If , then is equal to ________

### Choices

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

a. | ||

b. | ||

c. | 0 | |

d. | 5 |

## Question 285

### Question

MCQ▾Which of the statements given below is correct. If discriminant for equation is D________

### Choices

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

a. | ||

b. | ||

c. | ||

d. | D is not defined |

## Question 286

### Question

MCQ▾The expression is divisible by . Then m is a divisor of ________

### Choices

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

a. | 20 | |

b. | 40 | |

c. | 54 | |

d. | 45 |

## Question 287

### Question

MCQ▾The positive value of k for which the equations and will both have real roots, is ________

### Choices

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

a. | 4 | |

b. | 8 | |

c. | 16 | |

d. | 12 |

## Question 288

### Question

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

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 289

### Question

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

### Choices

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

a. | -20 | |

b. | 20 | |

c. | -15 | |

d. | 15 |

## Question 290

### Question

MCQ▾A convex polygon has 44 diagonals. The number of its sides is ________

### Choices

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

a. | 11 | |

b. | 10 | |

c. | 12 | |

d. | 13 |

## Question 291

### Question

MCQ▾In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 38 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 25 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was ________

### Choices

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

a. | 999 | |

b. | Can՚t be determined | |

c. | 538 | |

d. | 1690 |