# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 555 - 560 of 968

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## Question number: 555

### Question

A girl calculates that the probability of her winning the first prize in a lottery is 0.15. If 8000 tickets are sold, how many tickets has she bought?

### Choices

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

a. | 1400 | |

b. | 1800 | |

c. | 1200 | |

d. | 1600 |

## Question number: 556

### Question

A man whose bowling average is 12.4 takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets, taken by him, before his last match, is ________

### Choices

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

a. | 72 | |

b. | 85 | |

c. | 64 | |

d. | 78 |

## Question number: 557

### Question

If compound interest on a certain sum for 2 years is Rs. 451 the simple interest will be ________

### Choices

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

a. | 325 | |

b. | 440 | |

c. | 625 | |

d. | 352 |

## Question number: 558

### Question

a, b, c are real numbers such that and Prove that . When does the equality hold?

### Choices

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

a. | Equality hold when and | |

b. | Equality hold when and | |

c. | Equality hold when and | |

d. | Equality hold when and |

## Question number: 559

### Question

A man whose bowling average is 14.4 takes 3 wickets for 28 runs and thereby decreases his average by 1.2. The number of wickets, taken by him, before his last match, is ________

### Choices

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

a. | 35 | |

b. | 45 | |

c. | 55 | |

d. | 65 |

## Question number: 560

### Question

Assume that a mango and its seed, both are spherical. The radius of the seed is of the thickness of the pulp. The seed lies exactly at the center of the fruit. What percent of the total volume of the mango is its pulp?

### Choices

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

a. | ||

b. | ||

c. |
| |

d. |