IMO- Mathematics Olympiad Class 10: Questions 411 - 416 of 889

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Question number: 411

» Statistics & Probability

MCQ▾

Question

Two dice are thrown simultaneously. The probability of getting a total 5, 6 or 7 is ________

Choices

Choice (4) Response

a.

125

b.

127

c.

712

d.

512

Question number: 412

» Coordinate Geometry

MCQ▾

Question

The vertices of XYZ are X(3,2,0),Y(5,3,2),Z(9,6,3) . If XP is angle bisector, where P meets on YZ, then coordinates of P are ________

Choices

Choice (4) Response

a.

(1516,3316,1916)

b.

(3816,5716,1716)

c.

(4316,4716,1116)

d.

(916,516,716)

Question number: 413

» Statistics & Probability

MCQ▾

Question

The mean of five numbers is 18. If one number is excluded, then their mean is 16, the excluded number is ________

Choices

Choice (4) Response

a.

25

b.

26

c.

28

d.

24

Question number: 414

» Coordinate Geometry

MCQ▾

Question

Points (5,0),(2,6),(2,6),(5,0),(2,6)and(2,6) are joined to form a quadrilateral. What will be the structure of quadrilateral?

Choices

Choice (4) Response

a.

Square

b.

Pentagon

c.

Cross

d.

Hexagon

Question number: 415

» Statistics & Probability

MCQ▾

Question

The average age of 5 teachers is 28 years. If one teacher is excluded the mean gets reduced by 2 years. The age of the excluded teacher is ________

Choices

Choice (4) Response

a.

33 years

b.

36 years

c.

35 years

d.

26 years

Question number: 416

» Statistics & Probability

MCQ▾

Question

Two dice are thrown simultaneously. The probability of getting a doublet or a total of 8 is ________

Choices

Choice (4) Response

a.

518

b.

418

c.

279

d.

107

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