IMO- Mathematics Olympiad Class 9: Questions 688 - 693 of 919

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Question number: 688

» Statistics and Probability

MCQ▾

Question

Average weight of 9 persons is 48 kg. If one man weighing 32 kg, died, what is an average age of the remaining 8 persons.

Choices

Choice (4) Response
a.

50

b.

52

c.

54

d.

56

Question number: 689

» Polynomials

MCQ▾

Question

Given that x=2 is a solution of x37x+6=0 . The other solutions are ________.

Choices

Choice (4) Response
a.

1,3

b.

1,2

c.

1,3

d.

1,2

Question number: 690

» Statistics and Probability

MCQ▾

Question

A card is drawn at random from a well shuffled pack of 52 cards. The probability that the ‘9’ of red color card is ________

Choices

Choice (4) Response
a.

149

b.

12

c.

249

d.

492

Question number: 691

» Polynomials

MCQ▾

Question

x12y12 =

Choices

Choice (4) Response
a.

(x+y)(x2+xyy2)(x+y)(x2xyy2)(x2+y2)(x4x2y2+y4)

b.

(x+y)(x2xy+y2)(x+y)(x2xyy2)(x2+y2)(x4x2y2+y4)

c.

(xy)(x2+xy+y2)(x+y)(x2xyy2)(x2+y2)(x4x2y2+y4)

d.

(xy)(x2xy+y2)(x+y)(x2xyy2)(x2+y2)(x4x2y2+y4)

Question number: 692

» Polynomials

MCQ▾

Question

If 2x=t+t2+4 and 3y=tt2+4 , then value of y when x=23 , is________.

Choices

Choice (4) Response
a.

-2

b.

2

c.

-1

d.

1

Passage

A Train is going on a long journey for 20 hours, starting at 3.00 hrs. The speed of the car at different hours is given below:

Train with its speed values is given

Calculate the values as asked in question

Time (in hrs):

3

5

8

10

12

15

18

20

23

Speed (in km/hour):

60

70

90

50

60

75

60

30

60

From the above table answer the following questions.

Question number: 693 (1 of 3 Based on Passage) Show Passage

» Statistics and Probability

MCQ▾

Question

The average speed (in km/hour) between 10.00 hrs, 12.00 hrs and 15.00 hrs is ________

Choices

Choice (4) Response
a.

62

b.

63

c.

68

d.

57

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