# Playing with Numbers [IMO Level 1- Mathematics Olympiad (SOF) Class 8]: Questions 1 - 7 of 62

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## Question 1

### Question

MCQ▾7849320 is divisible by________.

### Choices

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

a. | 10 | |

b. | 9 | |

c. | 3 | |

d. | None of the above |

## Question 2

### Question

MCQ▾When a certain number is multiplied by 11, the product consists entirely of ones. The smallest such number is________.

### Choices

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

a. | 1011 | |

b. | 1111 | |

c. | 1009 | |

d. | 1010 |

## Question 3

### Question

MCQ▾If is divisible by 3, where z is a digit less than 5, then the values of z are________.

### Choices

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

a. | 1,2 | |

b. | 1,0 | |

c. | 0,3 | |

d. | 3,1 |

## Question 4

### Question

MCQ▾If in a number difference between the sum of digits at its odd places and that of digits at the even places is given 0, then the number and difference is divisible by________.

### Choices

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

a. | 2 | |

b. | 11 | |

c. | 7 | |

d. | 9 |

## Question 5

### Question

MCQ▾In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, then dividend is________.

### Choices

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

a. | 2424 | |

b. | 8484 | |

c. | 4848 | |

d. | 2021 |

## Question 6

### Question

MCQ▾On dividing 12401 by a certain number, we get 76 as quotient and 13 as remainder. What is the divisor?

### Choices

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

a. | 166 | |

b. | 160 | |

c. | 163 | |

d. | 165 |