IMO- Mathematics Olympiad Class 10: Questions 417 - 423 of 889

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Question number: 417

» Statistics & Probability

MCQ▾

Question

When two dice are thrown, the probability of getting a prime number as the sum is ________

Choices

Choice (4) Response

a.

125

b.

512

c.

716

d.

614

Question number: 418

» Coordinate Geometry

MCQ▾

Question

In what ratio is the line segment joining the points (4,5)and(1,5) is divided by X-axis?

Choices

Choice (4) Response

a.

5: 7

b.

1: 1

c.

7: 8

d.

3: 10

Question number: 419

» Coordinate Geometry

MCQ▾

Question

XYZ is an isosceles triangle. If the coordinates of the base are X(11,16)andY(18,14) , then the coordinates of the vertex Z can be

Choices

Choice (4) Response

a.

(7,2)

b.

(7, 2)

c.

(2,7)

d.

(2,7)

Question number: 420

» Coordinate Geometry

MCQ▾

Question

In what ratio is the line segment joining the points (4,6)and(1,7) is divided by X-axis?

Choices

Choice (4) Response

a.

6: 7

b.

7: 6

c.

3: 1

d.

1: 3

Question number: 421

» Coordinate Geometry

MCQ▾

Question

If the centroid of the triangle formed by the points (p,q),(q,r)and(r,p) is at the origin, then p3+q3+r3=_____

Choices

Choice (4) Response

a.

pqr

b.

0

c.

3pqr

d.

p+q+r

Question number: 422

» Coordinate Geometry

MCQ▾

Question

Find the area of the triangle whose vertices are (1,4),(6,1) and (6,4)

Choices

Choice (4) Response

a.

1235

b.

1212

c.

325

d.

1213

Question number: 423

» Statistics & Probability

MCQ▾

Question

A card is drawn from a well-shuffled pack of 52 cards. The probability that the card neither a black card nor a king is ________

Choices

Choice (4) Response

a.

136

b.

127

c.

613

d.

712

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