Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 29 - 33 of 81

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Question number: 29

» Arithmetic Progressions

MCQ▾

Question

Four numbers are inserted between the numbers 12 and 62 such that an A. P. results. Find the biggest of these four numbers.

Choices

Choice (4) Response
a.

62

b.

52

c.

72

d.

82

Question number: 30

» Arithmetic Progressions

MCQ▾

Question

The sum of the 4thand6th terms of an arithmetical progression is 42. The sum of the 3rdand9th term of the progression is 52. How do I find the first term, common difference, and sum of the ten terms of the progression?

Choices

Choice (4) Response
a.

256

b.

235

c.

236

d.

267

Question number: 31

» Arithmetic Progressions

MCQ▾

Question

Four numbers are inserted between the numbers 4 and 39 such that an A. P. results. Find the biggest of these four numbers.

Choices

Choice (4) Response
a.

33

b.

30

c.

31

d.

32

Question number: 32

» Arithmetic Progressions

MCQ▾

Question

If the sum of three consecutive terms of an increasing A. P. is 75 and the product of the first and third of these terms is 600, then the third term is ________

Choices

Choice (4) Response
a.

90

b.

30

c.

50

d.

60

Question number: 33

» Arithmetic Progressions

MCQ▾

Question

Let a1,a2,andb1,b2,. Be the arithmetic progressions such that a1=150,b1=250anda400+b400=400 . The sum of the first four hundred terms of the progressions (a1+b1),(a2+b2),.. is ________

Choices

Choice (4) Response
a.

160000

b.

350000

c.

950000

d.

300000

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