# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 541 - 548 of 929

Access detailed explanations (illustrated with images and videos) to 929 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Unlimited Access for Unlimited Time!

View Sample Explanation or View Features.

Rs. 450.00 or

How to register?

## Question number: 541

Edit
MCQ▾

### Question

Find the remainder when is divided by .

### Choices

Choice (4)Response

a.

-5

b.

-4

c.

-9

d.

-7

## Question number: 542

Edit
MCQ▾

### Question

If , then , is ________.

### Choices

Choice (4)Response

a.

0

b.

55

c.

54

d.

34

## Question number: 543

Edit
MCQ▾

### Question

The solution of the equations and is________.

### Choices

Choice (4)Response

a.

x = 0, y = 0

b.

x = 8, y = 5

c.

x = 18, y = 12

d.

No solution

## Question number: 544

Edit
MCQ▾

### Question

Group the given figures into three classes using each figure only once.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 545

Edit
MCQ▾

### Question

Mean marks scored by 50 students were found to be 70. Later it was observed that a score of 45 was misread as 54. Then the correct mean is ________

### Choices

Choice (4)Response

a.

69

b.

59

c.

69.82

d.

79.82

## Question number: 546

Edit
MCQ▾

### Question

Ram is the brother of Shyam and Mahesh is father of Ram. Jagat is the brother of Priya and Priya is daughter of Shyam. Who is the uncle of Jagat?

### Choices

Choice (4)Response

a.

Shyam

b.

Ram

c.

Mahesh

d.

None of the above

## Question number: 547

Edit
MCQ▾

### Question

The value of k for which is a factor of is ________.

### Choices

Choice (4)Response

a.

b.

c.

7

d.

## Question number: 548

Edit
MCQ▾

### Question

P and Q can do a piece of work in 15 days and Q alone can do it in 30 days. The time taken by P alone to do the work is ________

### Choices

Choice (4)Response

a.

12 days

b.

35 days

c.

30 days

d.

40 days

Developed by: