IMO- Mathematics Olympiad Class 10: Questions 406 - 410 of 889

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Question number: 406

» Statistics & Probability

MCQ▾

Question

A box contains 40 balls of two different colours, out of which x are black. One ball is drawn at random. If 20 more black balls are put in the box, the probability of drawing a black ball now will be double that of the previous probability of drawing a black ball. Then, the value of x is ________

Choices

Choice (4) Response

a.

15

b.

14

c.

12

d.

10

Question number: 407

» Statistics & Probability

MCQ▾

Question

A Motor maintains an average speed of 70 km/hr while going from P to Q and maintains an average speed of 85 km/hr while coming back from Q to P. the average speed of the motor is ________.

Choices

Choice (4) Response

a.

55kmhr

b.

60kmhr

c.

62kmhr

d.

40kmhr

Question number: 408

» Coordinate Geometry

MCQ▾

Question

P(1,2),Q(4,3)andR(6,6) is three vertices of the parallelogram PQRS. The coordinates of fourth vertex is ________

Choices

Choice (4) Response

a.

(3,5)

b.

(5,3)

c.

(3,5)

d.

(5,3)

Question number: 409

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (5,8),(a,b),(3,6)and(3,5) . What will be the ratio of a and b?

Choices

Choice (4) Response

a.

7:3

b.

2: 9

c.

3: 7

d.

1: 9

Question number: 410

» Coordinate Geometry

MCQ▾

Question

PQR is an isosceles triangle. If the coordinates of the base are Q(1,3)andR(2,7) , then the coordinates of the vertex P can be

Choices

Choice (4) Response

a.

(4,72)

b.

(2,5)

c.

(56,6)

d.

None of the above

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