# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 459 - 465 of 968

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## Question 459

### Question

MCQ▾If are the midpoints of the sides of , the area of the triangle is ________

### Choices

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

a. | 24 sq. units | |

b. | 50 sq. units | |

c. | 96 sq. units | |

d. | 48 sq. units |

## Question 460

### Question

MCQ▾The average of 10 results is 70. If the average of the first five results is 60 and that of the last five is 70, then the fifth result is ________

### Choices

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

a. | 20 | |

b. | 30 | |

c. | 40 | |

d. | 50 |

## Question 461

### Question

MCQ▾If are the vertices of a right angle triangle, right angle at P, then a is ________

### Choices

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

a. | 3 | |

b. | 4 | |

c. | 2 | |

d. | 1 |

## Question 462

### Question

MCQ▾One card is drawn from a well-shuffled deck of 52 cards the probability of the card drawn is a king or queen ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 463

### Question

MCQ▾The mean of a data is ‘p’ . if each observation is multiplied by 3 and then 1 is added to each result, then the mean of the new observations so obtained is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 464

### Question

MCQ▾The coordinates of the mid-points of the sides of a triangle are . What will be the coordinates of the centroid of the triangle?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 465

### Question

MCQ▾A card is drawn from a packet of 100 cards numbered 50 to 150. The probability of drawing a number which is a square is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |