# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 573 - 578 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 573

### Question

MCQ▾A train 200 meters long moving at a speed of 70 km/hr crosses a train 220 meters long coming from opposite direction in 10 seconds. The speed of second train is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 574

### Question

MCQ▾The arithmetic mean of a number of pair wise distinct prime numbers is 27. Determine the biggest prime among them.

### Choices

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

a. | 48 | |

b. | 45 | |

c. | 47 | |

d. | 46 |

## Question 575

### 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. | 750 gms | |

b. | 660 gms | |

c. | 860 gms | |

d. | 760 gms |

## Question 576

### Question

MCQ▾While selling a watch, a shopkeeper gives a discount of . If he gives a discount of , he earns ₹ 15 less as profit. The marked price of the watch is ________

### Choices

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

a. | ₹ 712.50 | |

b. | ₹ 787.50 | |

c. | ₹ 750 | |

d. | ₹ 697.50 |

## Question 577

### Question

MCQ▾Suraj travels a certain distance at 3 km/hr and reaches 15 min. late. If he travels at 4 km/hr, he reaches 15 min. earlier. The distance he has to travel is ________

### Choices

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

a. | 7.2 km | |

b. | 6 km | |

c. | 4.5 km | |

d. | 12 km |

## Question 578

### Question

MCQ▾If P and Q can do a work in 12 days, Q and R in 15 days, while R and P in 20 days, how long would P, Q and R alone take to do the work respectively?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |