# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 541 - 548 of 931

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## Question 541

### Question

MCQ▾

Find the remainder when is divided by .

### Choices

Choice (4)Response

a.

-5

b.

-4

c.

-9

d.

-7

## Question 542

### Question

MCQ▾

If , then , is ________.

### Choices

Choice (4)Response

a.

0

b.

55

c.

54

d.

34

## Question 543

### Question

MCQ▾

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 544

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 545

### Question

MCQ▾

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 546

### Question

MCQ▾

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 547

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

7

d.

## Question 548

### Question

MCQ▾

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