# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 318 - 323 of 968

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## Question 318

### Question

MCQ▾In a bangle shop, if the shopkeeper displays the bangles in the form of a square then he is left with 60 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 31 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. | 1538 | |

b. | 3690 | |

c. | 2085 | |

d. | 1999 |

## Question 319

### Question

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

### Choices

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

a. | 0 | |

b. | ||

c. | ||

d. |

## Question 320

### Question

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

### Choices

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

a. | -810 | |

b. | 810 | |

c. | 610 | |

d. | -610 |

## Question 321

### Question

MCQ▾A number 32 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the lowest part.

### Choices

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

a. | 6 | |

b. | 2 | |

c. | 10 | |

d. | 14 |

## Question 322

### Question

MCQ▾If , then is equal to ________

### Choices

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

a. | 1333 | |

b. | 1352 | |

c. | 1222 | |

d. | 1542 |

## Question 323

### Question

MCQ▾If the sum of three consecutive terms of an increasing A. P. is 30 and the product of the first and third of these terms is 75, then the third term is ________

### Choices

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

a. | 32 | |

b. | 27 | |

c. | 19 | |

d. | 15 |