# IMO- Mathematics Olympiad Class 9: Questions 852 - 858 of 919

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## Question number: 852

MCQ▾

### Question

The sum of the x-coordinates of the intersection of and , is ________.

### Choices

Choice (4) Response

a.

b.

0

c.

d.

## Question number: 853

MCQ▾

### Question

Average of 10 numbers is 12. What should be added as 11th number to make the average 13?

### Choices

Choice (4) Response

a.

28

b.

25

c.

30

d.

23

## Question number: 854

MCQ▾

### Question

Mathematics is related to numbers in the same way as history is related to ________

### Choices

Choice (4) Response

a.

Dates

b.

Events

c.

Wars

d.

People

## Question number: 855

MCQ▾

### Question

Age of Smith’s father is 4 times of his age. If 5 years ago, father’s age was 7 times of the age of his son at that time. What is Smith’s father present age?

### Choices

Choice (4) Response

a.

51 years

b.

60 years

c.

40 years

d.

45 years

## Question number: 856

MCQ▾

### Question

If , then , is ________.

### Choices

Choice (4) Response

a.

1

b.

2

c.

0

d.

3

## Question number: 857

MCQ▾

### Question

A and B invest in a business in the ratio. If of the total profit goes to charity and A’s share is Rs. 855, the total profit is ________

### Choices

Choice (4) Response

a.

Rs. 1576

b.

Rs. 1425

c.

Rs. 1537.50

d.

Rs. 1500

## Question number: 858

MCQ▾

### Question

If the mean of 17 observations is 22 and that of another 18 observations is 10, then the mean of 35 observations is ________

### Choices

Choice (4) Response

a.

24

b.

15.83

c.

15

d.

24.8

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