# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 521 - 525 of 968

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## Question number: 521

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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

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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

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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.

## Question number: 524

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MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

Rs. 1600

b.

Rs. 1480

c.

Rs. 1500

d.

Rs. 1750

## Question number: 525

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MCQ▾

### Question

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.

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