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

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 919 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

Question number: 889

» Polynomials

MCQ▾

Question

The number of positive integers k for which the equation 2xk56=2k has an integer solution for x is ________

Choices

Choice (4) Response

a.

0

b.

1

c.

-1

d.

2

Question number: 890

» Statistics and Probability

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

» Introduction to Euclid's Geometry

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

» Polynomials

MCQ▾

Question

Value of (xa)3+(xc)33(xa)(xb)(xc) when a+b+c=3x , is ________

Choices

Choice (4) Response

a.

3

b.

1

c.

2

d.

0

Question number: 893

» Linear Equations in Two Variables

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:

Bus with its speed values is given

Calculate the values as asked in question

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

» Statistics and Probability

MCQ▾

Question

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

Choices

Choice (4) Response

a.

30.67%

b.

66.67%

c.

50.80%

d.

80.54%

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

» Statistics and Probability

MCQ▾

Question

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

Choices

Choice (4) Response

a.

16%

b.

40%

c.

30%

d.

50%

Sign In