# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 523 - 527 of 968

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## Question 523

### Question

MCQ▾f (x) is a fifth degree polynomial. It is given that f (x) + 1 in divisible by and is divisible by . Find f (x) .

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 524

### Question

MCQ▾While selling a watch, a shopkeeper gives a discount of . If he gives a discount of , he earns ₹ 30 less as profit. The marked price of the watch is ________

### Choices

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

a. | ₹ 1600 | |

b. | ₹ 1480 | |

c. | ₹ 1500 | |

d. | ₹ 1750 |

## Question 525

### Question

MCQ▾AB is a line segment is a point on AB. ACPQ and CBRS are squares drawn on the same side AB,

### Choices

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

a. | P is the orthocenter of the triangle APB. | |

b. | M is the orthocenter of the triangle APB. | |

c. | C is the orthocenter of the triangle APB. | |

d. | S is the orthocenter of the triangle APB. |

## Question 526

### Question

MCQ▾A man whose bowling average is 18.2 takes 4 wickets for 46 runs and thereby decreases his average by 0.2. The number of wickets, taken by him, before his last match, is ________

### Choices

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

a. | 140 | |

b. | 115 | |

c. | 130 | |

d. | 110 |

## Question 527

### Question

MCQ▾Sudhir buys a watch for ₹ . He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of ₹ 10,000 each. If the rate of interest is and he pays with the instalment the interest due on the unpaid amount, find the total cost of the watch.

### Choices

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

a. | 4,25, 000 | |

b. | 6,85, 000 | |

c. | 9,25, 000 | |

d. | 3,82, 000 |