IMO- Mathematics Olympiad Class 10: Questions 456 - 461 of 889

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Question number: 456

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (15,2),(a,b),(15,14)and(10,6) . What will be the ratio of a and b?

Choices

Choice (4) Response
a.

4:7

b.

3: 1

c.

2: 1

d.

3: 4

Question number: 457

» Statistics & Probability

MCQ▾

Question

A Train maintains an average speed of 40 km/hr while going from L to M and maintains an average speed of 60 km/hr while coming back from M to L. the average speed of the bus is ________.

Choices

Choice (4) Response
a.

48kmhr

b.

47kmhr

c.

46kmhr

d.

45kmhr

Question number: 458

» Coordinate Geometry

MCQ▾

Question

Points (6,8),(3,7),(2,2)and(1,1) are joined to form a quadrilateral. What will be the structure of quadrilateral?

Choices

Choice (4) Response
a.

Parallelogram

b.

Rectangle

c.

Square

d.

Rhombus

Question number: 459

» Coordinate Geometry

MCQ▾

Question

If D(3,1),E(2,6)andF(5,7) are the midpoints of the sides of ABC , the area of the triangle is ________

Choices

Choice (4) Response
a.

96 sq. units

b.

24 sq. units

c.

48 sq. units

d.

50 sq. units

Question number: 460

» Statistics & Probability

MCQ▾

Question

The average of 10 results is 70. If the average of the first five results is 60 and that of the last five is 70, then the fifth result is ________

Choices

Choice (4) Response
a.

20

b.

40

c.

50

d.

30

Question number: 461

» Coordinate Geometry

MCQ▾

Question

If P(0,3),Q(2,a)andR(1,4) are the vertices of a right angle triangle, right angle at P, then a is ________

Choices

Choice (4) Response
a.

3

b.

4

c.

2

d.

1

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