Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 25 - 30 of 84

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Question number: 25

» Arithmetic Progressions

MCQ▾

Question

Find the sum of all three-digit natural numbers, which on being divided by 7, leave remainder equal to 3.

Choices

Choice (4) Response

a.

65, 780

b.

99, 650

c.

70, 231

d.

32, 270

Question number: 26

» Arithmetic Progressions

MCQ▾

Question

The sum of the first Equation terms of the arithmetic progression is equal to half the sum of the next Equation terms of the same progression. Find the ratio of the sum of the first Equation terms of the progression to the sum of its first Equation terms

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 27

» Arithmetic Progressions

MCQ▾

Question

Let Equation Be the arithmetic progressions such that Equation . The sum of the first two hundred terms of the progressions Equation is ________

Choices

Choice (4) Response

a.

20000

b.

40000

c.

30000

d.

60000

Question number: 28

» Arithmetic Progressions

MCQ▾

Question

The value of Equation is ________

Choices

Choice (4) Response

a.

40

b.

30

c.

20

d.

50

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 Equation terms of an arithmetical progression is 42. The sum of the Equation 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

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