# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 523 - 527 of 968

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## Question 523

### Question

MCQ▾

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 524

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

₹ 1600

b.

₹ 1480

c.

₹ 1500

d.

₹ 1750

## Question 525

### Question

MCQ▾

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.

## Question 526

### Question

MCQ▾

A man whose bowling average is 18.2 takes 4 wickets for 46 runs and thereby decreases his average by 0.2. The number of wickets, taken by him, before his last match, is ________

### Choices

Choice (4)Response

a.

140

b.

115

c.

130

d.

110

## Question 527

### Question

MCQ▾

Sudhir buys a watch for ₹ . He pays half of the amount in cash and agrees to pay the balance in 12 annual instalments of ₹ 10,000 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.

4,25, 000

b.

6,85, 000

c.

9,25, 000

d.

3,82, 000