# IMO- Mathematics Olympiad Class 9: Questions 889 - 895 of 919

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## Question number: 889

MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

0

b.

1

c.

-1

d.

2

## Question number: 890

MCQ▾

### Question

A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put in the box, the probability of drawing a black ball is now double of what is was before, then x is________

### Choices

Choice (4) Response

a.

3

b.

7

c.

5

d.

2

## Question number: 891

MCQ▾

### Question

Two angles are complementary. The measure of one angle is 15˚ more than twice the other. What is the measure of the smaller angle?

### Choices

Choice (4) Response

a.

25˚

b.

35˚

c.

55˚

d.

65˚

## Question number: 892

MCQ▾

### Question

Value of when , is ________

### Choices

Choice (4) Response

a.

3

b.

1

c.

2

d.

0

## Question number: 893

MCQ▾

### Question

Equation of the y-axis, is

### Choices

Choice (4) Response

a.

y=-x

b.

y = x

c.

x = 0

d.

y = 0

## Passage

A Bus is going on a long journey for 25 hours, starting at 6.00 hrs. The speed of the car at different hours is given below:

 Time (in hrs): 6 8 9 13 14 18 20 22 25 Speed (in km/hour): 30 60 50 40 60 70 80 60 20

From the above table answer the following questions.

## Question number: 894 (1 of 3 Based on Passage) Show Passage

MCQ▾

### Question

The percentage of decrease in speed during 22.00 hrs and 25.00 hrs is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 895 (2 of 3 Based on Passage) Show Passage

MCQ▾

### Question

The percentage of increase in speed during 14.00 hrs and 18.00 hrs is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page