# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 508 - 512 of 968

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## Question 508

### Question

MCQ▾

X, Y and Z start at the same time in the same direction to run around a circular stadium. X completes a round in 160 seconds, Y in 260 seconds and Z in 200 seconds, all starting at the same point. After what time will they meet again at the starting point?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 509

### Question

MCQ▾

A train 100 meters long moving at a speed of 50 km/hr crosses a train 120 meters long coming from opposite direction in 6 seconds. The speed of second train is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 510

### Question

MCQ▾

A boy was asked to multiply a given number by . Instead, he divided the given number by and got the result 225 more than what he should have got if he had multiplied the number by . The given number was ________.

### Choices

Choice (4)Response

a.

17

b.

136

c.

64

d.

8

## Question 511

### Question

MCQ▾

Sumit has 27 small cubes of . He wants to arrange all of them in a cuboidal shape, such that the surface area will be minim um. What is the diagonal of this larger cuboid?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 512

### Question

MCQ▾

Five years ago, a father was four times as old as his son. 8 years later, father՚s age will be exceeding his son՚s age by 12 years. The ratio of the present ages of father and son is ________

### Choices

Choice (4)Response

a.

b.

c.

d.