# IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 283 - 289 of 1022

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## Question 283

### Question

MCQ▾ABC is an acute angled triangle. P, Q are the points on AB and AC respectively such that area of APC = area of AQB. A line is drawn through B parallel to AC and meets the line trough Q parallel to AB at S. QS cuts BC at R.

### Choices

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

a. | AP = PC | |

b. | RS = AP | |

c. | PC = BP | |

d. | BR = RC |

## Question 284

### Question

MCQ▾I: Sum of the two complementary angles are

II: Sum of two supplementary angles are

Which of the following statement is true?

### Choices

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

a. | I and II are true | |

b. | Only I true | |

c. | I and II are false | |

d. | Only II true |

## Question 285

### Question

MCQ▾In the figure, POQ, ROD and TOS are straight lines. Find y.

### Choices

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

a. | 45° | |

b. | ||

c. | 52° | |

d. |

## Question 286

### Question

MCQ▾In the figure, MNOP is a trapezium with MN parallel to PQ, and is a straight line. Find X.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 287

### Question

MCQ▾Two supplementary angles are in the ratio , than the angles are

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 288

## Question 289

### Question

MCQ▾A point P is taken within a rhombus ABCD such that PA = PC. Show that B, P, D are collinear.

### Choices

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

a. | B, A, D are collinear | |

b. | B, C, D are collinear | |

c. | A, P, D are collinear | |

d. | B, P, D are collinear |