IMO Mathematics Olympiad Class 9: Questions 889  895 of 919
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Question number: 889
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
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
» Introduction to Euclid's Geometry
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
Question
Value of when , is ________
Choices
Choice (4)  Response  

a.  3 

b.  1 

c.  2 

d.  0 

Question number: 893
» Linear Equations in Two Variables
Question
Equation of the yaxis, 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
Question
The percentage of increase in speed during 14.00 hrs and 18.00 hrs is ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 895 (2 of 3 Based on Passage) Show Passage
Question
The average speed (in km/hour) between 6.00 hrs, 8.00 hrs, 9.00 hrs and 13.00 hrs is ________
Choices
Choice (4)  Response  

a.  45 

b.  67 

c.  48 

d.  96 
