# IMO- Mathematics Olympiad Class 10: Questions 520 - 523 of 958

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## Question number: 520

MCQ▾

### Question

P, Q and R start at the same time in the same direction to run around a circular stadium. P completes a round in 280 seconds, Q in 310 seconds and R 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.

846 minutes 15 seconds

b.

126 minutes 18 seconds

c.

445 minutes 55 seconds

d.

723 minutes 20 seconds

## Question number: 521

MCQ▾

### Question

The Gurgaon office of Microsoft has 1500 executives. Of these 900 subscribe to the Hindustan Times and 750 subscribe to the Hindu. 150 subscribe to both Hindustan Times and the Hindu. If an executive is picked at random, what is the probability that he has subscribed to Hindustan Times?

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 522

MCQ▾

### Question

The difference in C. I and S. I for 2 years on a sum of money is Rs. 160. If the S. I for 2 years be Rs. 2880, the rate percent is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 523

MCQ▾

### Question

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.

f Page