Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 36 - 41 of 84

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Question number: 36

» Arithmetic Progressions

MCQ▾

Question

If Equation Belongs to A. P. such that Equation , then the value of Equation equals ________

Choices

Choice (4) Response

a.

2200

b.

1232

c.

616

d.

308

Question number: 37

» Arithmetic Progressions

MCQ▾

Question

If four numbers are in A. P. such that their sum is 50 and the greatest number is 4 times the least, then the numbers are ________

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Question does not provide sufficient data or is vague

Question number: 38

» Arithmetic Progressions

MCQ▾

Question

Find the sum of all three-digit natural numbers, which on being divided by 5, leaves remainder equal to 4.

Choices

Choice (4) Response

a.

57, 270

b.

96, 780

c.

49, 680

d.

99, 270

Question number: 39

» 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.

7

b.

8

c.

6

d.

5

Question number: 40

» Arithmetic Progressions

MCQ▾

Question

Between the numbers 5 and 50, 18 means are inserted, then their sum is ________

Choices

Choice (4) Response

a.

695

b.

495

c.

795

d.

895

Question number: 41

» Arithmetic Progressions

MCQ▾

Question

If the Equation term of an A. P are P, Q, R respectively, then Equation equals ________

Choices

Choice (4) Response

a.

0

b.

1

c.

Equation

d.

Equation

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