# IMO- Mathematics Olympiad Class 10: Questions 499 - 504 of 958

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## Question number: 499

MCQ▾

### Question

The average of 11 results is 60. If the average of the first six results is 72 and that of the last six is 52, then the sixth result is ________

### Choices

Choice (4) Response

a.

87

b.

88

c.

84

d.

86

## Question number: 500

MCQ▾

### Question

The mean of eight numbers is 30. If one number is excluded, then their mean is 34, the excluded number is ________

### Choices

Choice (4) Response

a.

5

b.

2

c.

8

d.

6

## Question number: 501

MCQ▾

### Question

In the adjacent figure, QP and QR are produced to meet RS and PS produced in T and U. then is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 502

MCQ▾

### Question

The mean of 10 observations is. By error, one observation was noted as was misread as 24. Then the correct mean is ________

### Choices

Choice (4) Response

a.

21

b.

27

c.

25

d.

23

## Question number: 503

MCQ▾

### Question

The distance between the points and is ________

### Choices

Choice (4) Response

a.

3a

b.

2a

c.

a

d.

5a

## Question number: 504

MCQ▾

### Question

A drawer contains 8 red socks, 12 white socks and 10 blue socks. Without looking you draw out a sock and then draw out a second sock without returning the first sock. What is the probability that the first sock and second sock are both white?

### Choices

Choice (4) Response

a.

b.

c.

d.

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