# IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 405 - 413 of 1022

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## Question 405

### Question

MCQ▾What is the value of at ?

### Choices

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

a. | 0 | |

b. | ac | |

c. | ab | |

d. |

## Question 406

### Question

MCQ▾When a number is reduced by 12, it becomes 20 % of itself. Find the number.

### Choices

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

a. | 15 | |

b. | 30 | |

c. | 12 | |

d. | 25 |

## Question 407

## Question 408

### Question

MCQ▾Two numbers are 15 % and 30 % less than a third number respectively. How much % is the second number less than the first?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 409

### Question

MCQ▾A number P exceeds Q by 50 % . By what percentage is P more than Q?

### Choices

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

a. | 30 % | |

b. | 50 % | |

c. | 55 % | |

d. | 35 % |

## Question 410

### Question

MCQ▾Two numbers are in the ratio of 5: 4. If 5 be added to both, their ratio changes to 6: 5. The smaller number is ________.

### Choices

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

a. | 25 | |

b. | 32 | |

c. | 36 | |

d. | 20 |

## Question 411

## Question 412

### Question

MCQ▾A contractor employed 210 men to build a house in 60 days. After 12 days, he was joined by 70 more men. In how many days will the remaining work be finished?

### Choices

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

a. | 40 days | |

b. | 36 days | |

c. | 38 days | |

d. | 35 days |

## Question 413

### Question

MCQ▾Step 1:

Step 2:

Step 3:

Are the above given steps showing simplification of algebraic expression

?

### Choices

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

a. | Yes | |

b. | Only step 1 is correct | |

c. | Only step 1 and 2 are correct | |

d. | No |