IMO- Mathematics Olympiad Class 10: Questions 605 - 610 of 889

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Question number: 605

» 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.

5,10,15,20

b.

4,10,16,22

c.

3,711,15

d.

Question does not provide sufficient data or is vague

Question number: 606

» 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: 607

» Arithmetic Progressions

MCQ▾

Question

The sum of the first n terms of the arithmetic progression is equal to half the sum of the next n terms of the same progression. Find the ratio of the sum of the first 3n terms of the progression to the sum of its first n terms

Choices

Choice (4) Response

a.

7

b.

8

c.

6

d.

5

Question number: 608

» 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: 609

» Arithmetic Progressions

MCQ▾

Question

If the pth,qthandrth term of an A. P are P, Q, R respectively, then P(qr)+Q(rp)+R(pq) equals ________

Choices

Choice (4) Response

a.

0

b.

1

c.

pqr

d.

p+qr

Question number: 610

» Arithmetic Progressions

MCQ▾

Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 144, and except for the eight term, 70. Find the second term of the progression if the sum of the first and the seventh terms is equal to 20.

Choices

Choice (4) Response

a.

19

b.

16

c.

18

d.

13

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