IMO- Mathematics Olympiad Class 10: Questions 589 - 594 of 889

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Question number: 589

» Arithmetic Progressions

MCQ▾

Question

If b1,b2,b3,. Belongs to A. P. such that b1+b4+b7++b34=1200 , then the value of b1+b2+b3++b34 equals ________

Choices

Choice (4) Response

a.

2400

b.

6116

c.

1308

d.

1900

Question number: 590

» Arithmetic Progressions

MCQ▾

Question

If the mth term of an A. P. is 1n and nth term is 1m , then the mnth terms is ________

Choices

Choice (4) Response

a.

4

b.

2

c.

1

d.

3

Question number: 591

» Arithmetic Progressions

MCQ▾

Question

If b1,b2,b3,. Belongs to A. P. such that b1+b6+b11++b46=400 , then the value of b1+b2+b3++b46 equals ________

Choices

Choice (4) Response

a.

1840

b.

4582

c.

1325

d.

1654

Question number: 592

» Arithmetic Progressions

MCQ▾

Question

The nth term of the series 12,(12+22),(12+22+32),.. is ________

Choices

Choice (4) Response

a.

n(n+1)2

b.

n(n+1)(2n+1)6

c.

n

d.

n2(n+1)22

Question number: 593

» 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: 594

» 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 2n terms of the progression to the sum of its first 4n terms

Choices

Choice (4) Response

a.

37

b.

73

c.

43

d.

34

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