IMO- Mathematics Olympiad Class 10: Questions 330 - 335 of 889

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Question number: 330

» Arithmetic Progressions

MCQ▾

Question

A number 20 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is 2:3 . Find the largest part.

Choices

Choice (4) Response

a.

4

b.

8

c.

9

d.

12

Question number: 331

» Arithmetic Progressions

MCQ▾

Question

The number of terms common between the two series 2+5+8+. Up to 50 terms and the series 3+5+7+9+ up to 60 terms is ________

Choices

Choice (4) Response

a.

24

b.

26

c.

20

d.

25

Question number: 332

» Statistics & Probability

MCQ▾

Question

The mean of 12 observations is 30 . By error, one observation was noted as 12 was misread as 21. Then the correct mean is ________

Choices

Choice (4) Response

a.

23.25

b.

28.25

c.

27.25

d.

29.25

Question number: 333

» Coordinate Geometry

MCQ▾

Question

Four vertices of a parallelogram taken in order are (15,17),(a,b),(11,13)and(13,16) . What will be the ratio of a and b?

Choices

Choice (4) Response

a.

12: 13

b.

13: 12

c.

14: 17

d.

13: 14

Question number: 334

» Statistics & Probability

MCQ▾

Question

A bag contains 10 balls of two different colours, out of which x are cyan. One ball is drawn at random. If 20 more cyan balls are put in the bag, the probability of drawing a cyan ball now will be double that of the previous probability of drawing a cyan ball. Then, the value of x is ________

Choices

Choice (4) Response

a.

4

b.

5

c.

8

d.

9

Question number: 335

» Coordinate Geometry

MCQ▾

Question

The area of triangle formed by the points (3p,2+4p),(3p,5p)and(4p,3p) is 60 units. How many values of p are possible?

Choices

Choice (4) Response

a.

74

b.

1128

c.

2811

d.

47

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