IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 604 - 609 of 968

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Question number: 604

» Arithmetic Progressions

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MCQ▾

Question

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

Choices

Choice (4) Response

a.

616

b.

308

c.

2200

d.

1232

Question number: 605

» Arithmetic Progressions

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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.

b.

c.

d.

None of the above

Question number: 606

» Arithmetic Progressions

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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.

99,270

c.

49,680

d.

96,780

Question number: 607

» Arithmetic Progressions

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MCQ▾

Question

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

Choices

Choice (4) Response

a.

5

b.

6

c.

8

d.

7

Question number: 608

» Arithmetic Progressions

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MCQ▾

Question

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

Choices

Choice (4) Response

a.

695

b.

795

c.

895

d.

495

Question number: 609

» Arithmetic Progressions

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MCQ▾

Question

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

Choices

Choice (4) Response

a.

1

b.

c.

d.

0