# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 532 - 536 of 968

Access detailed explanations (illustrated with images and videos) to **968** questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. *Unlimited Access, Unlimited Time, on Unlimited Devices*!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

How to register? Already Subscribed?

## Question 532

### Question

MCQ▾A rectangular carpet has an area of 60 sq. m, its diagonal and longer side together equal 5 times the shorter side. The length of the carpet is ________

### Choices

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

a. | 13 m | |

b. | 5 m | |

c. | 14.5 m | |

d. | 12 m |

## Question 533

### Question

MCQ▾Shreyansh buys a watch for ₹ 1,20, 000. He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of ₹ 5000 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. | 1,27, 000 | |

b. | 1,28, 000 | |

c. | 1,27, 750 | |

d. | None of the above |

## Question 534

### Question

MCQ▾A dishonest dealer professes to sell his goods at cost price. But he uses a false weight and thus gains . For a kg, he uses a weight of ________

### Choices

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

a. | 960 gms | |

b. | 947 gms | |

c. | 953 gms | |

d. | 940 gms |

## Question 535

### Question

MCQ▾Mihir has 125 small cubes of . He wants to arrange all of them in a cuboidal shape, such that the surface area will be minimum. What is the diagonal of this larger cuboid?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 536

### Question

MCQ▾The sides of a rectangular field are in the ratio . If the area of the field is 13,500 sq. m, the cost of fencing the field 50 paise per meter is ________

### Choices

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

a. | ₹ 440 | |

b. | ₹ 340 | |

c. | ₹ 240 | |

d. | ₹ 140 |