IMO- Mathematics Olympiad Class 10: Questions 377 - 381 of 908

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Question number: 377

» Coordinate Geometry

MCQ▾

Question

Find the area of triangle if the coordinates of vertices are (9,5),(2,7)and(6,3) is ________

Choices

Choice (4) Response

a.

20.5 sq. units.

b.

19.3 sq. units

c.

33.5 sq. units

d.

45.2 sq. units

Question number: 378

» Statistics & Probability

MCQ▾

Question

The mean weight of a class of 24 students is 35 kg. if the weight of the teacher is included, the mean rises by 400 g. Then the weight of the teacher is ________

Choices

Choice (4) Response

a.

55 kg

b.

45 kg

c.

65 kg

d.

50 kg

Question number: 379

» Statistics & Probability

MCQ▾

Question

The average temperatures of Monday, Tuesday, Wednesday and Thursday was 25 . The average temperature of Tuesday, Wednesday, Thursday and Friday was 40 . If the temperature on Monday was 30 , then the temperature on Friday was ________.

Choices

Choice (4) Response

a.

30

b.

10

c.

40

d.

20

Question number: 380

» Coordinate Geometry

MCQ▾

Question

If the centroid of the triangle formed by the points (a,b),(b,c)and(c,a) is at the origin, then a2+b2+c2=_____

Choices

Choice (4) Response

a.

2(ab+bc+ca)

b.

3ab+3bc+3ca

c.

2ab+bc+ca

d.

2abc+2ab+2bc+2ca

Question number: 381

» Statistics & Probability

MCQ▾

Question

The mean of ten numbers is 60. If one number is excluded, then their mean is 50, the excluded number is ________

Choices

Choice (4) Response

a.

130

b.

160

c.

140

d.

150

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