# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 651 - 657 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. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.

Rs. 450.00 or

How to register?

## Question number: 651

Edit
MCQ▾

### Question

The number of ways of writing the number in the form (a, b are integers)

### Choices

Choice (4) Response

a.

1

b.

Infinitely many

c.

0

d.

Finitely many

## Question number: 652

Edit
MCQ▾

### Question

A class starts at 10 a. m. and lasts till 1.27 p. m. four periods are held during this interval. After every period, 5 minutes are given free to the students. The exact duration of each period is ________

### Choices

Choice (4) Response

a.

48 minutes

b.

51 minutes

c.

42 minutes

d.

53 minutes

## Question number: 653

Edit
MCQ▾

### Question

The product of all the solutions of , is ________.

### Choices

Choice (4) Response

a.

4

b.

c.

16

d.

## Question number: 654

Edit
MCQ▾

### Question

The number of positive integers k for which the equation has an integer solution for x is ________

### Choices

Choice (4) Response

a.

2

b.

3

c.

5

d.

8

## Question number: 655

Edit
MCQ▾

### Question

The median of the observation 30,91,0, 64,42,80,30,5, 117,71 is ________

### Choices

Choice (4) Response

a.

52.5

b.

51

c.

53

d.

52

## Question number: 656

Edit
MCQ▾

### Question

In the figure y = 30˚, then ∠DOE is________ (Assume X = Y) Find the Value of Angle DOE Define the different angles and find the ∠DOE.

### Choices

Choice (4) Response

a.

150˚

b.

30˚

c.

60˚

d.

90˚

## Question number: 657

Edit
MCQ▾

### Question

A milk vendor has 2 cans of milk. The first contains water and the rest milk. The second contains water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is?

### Choices

Choice (4) Response

a.

7 liters, 5 liters

b.

5 liters, 7 liters

c.

6 liters, 6 liters

d.

4 liters, 8 liters