# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 239 - 246 of 968

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## Question 239

### Question

MCQ▾A boat goes 20 km upstream and 33 km downstream in 10 hours. In 13 hours, it can go 30 km upstream and 44 km downstream. If x represents the speed of the boat in still water in km/hr and y represent the speed of the stream in km/hr, then ________

### Choices

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

b. | ||

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d. |

## Question 240

### Question

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

### Choices

Choice (4) | Response | |
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a. | 6 | |

b. | -6 | |

c. | ||

d. |

## Question 241

### Question

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

### Choices

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

b. | ||

c. | ||

d. | All of the above |

## Question 242

### Question

MCQ▾If the equation has equal roots, and then the both roots are equal to ________

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Choice (4) | Response | |
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d. |

## Question 243

### Question

MCQ▾If the equation has roots and , then the value of is ________

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## Question 244

### Question

MCQ▾Find the value of ‘p’ if sum of roots of is 3

### Choices

Choice (4) | Response | |
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a. | -12 | |

b. | 16 | |

c. | -16 | |

d. | 12 |

## Question 245

### Question

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

### Choices

Choice (4) | Response | |
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a. | 8 | |

b. | ||

c. | -8 | |

d. |

## Question 246

### Question

MCQ▾If the roots of the equation are equal. Then ________

### Choices

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

b. | ||

c. | ||

d. |