IMO- Mathematics Olympiad Class 10: Questions 623 - 629 of 889

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Question number: 623

» Arithmetic Progressions

MCQ▾

Question

Find the sum of all three-digit natural numbers, which on being divided by 4, leave remainder equal to 2.

Choices

Choice (4) Response
a.

1, 99, 270

b.

4, 41, 680

c.

1, 94, 780

d.

1, 23, 525

Question number: 624

» Arithmetic Progressions

MCQ▾

Question

If the sum of n,2nand3n terms of an A. P. are S1,S2andS3 respectively, then S3S2S1 is ________

Choices

Choice (4) Response
a.

1

b.

2

c.

0

d.

3

Question number: 625

» Arithmetic Progressions

MCQ▾

Question

Find the sum of all four-digit natural numbers, which on being divided by 20, leave remainder equal to 5.

Choices

Choice (4) Response
a.

69, 65, 000

b.

24, 70, 500

c.

60, 27, 000

d.

32, 23, 001

Question number: 626

» Arithmetic Progressions

MCQ▾

Question

The value of k=18(4k6) is ________

Choices

Choice (4) Response
a.

97

b.

99

c.

96

d.

92

Question number: 627

» Arithmetic Progressions

MCQ▾

Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 126, and except for the sixth term, 62. Find the third term of the progression if the sum of the first and the fifth term is equal to 16.

Choices

Choice (4) Response
a.

7

b.

3

c.

9

d.

8

Question number: 628

» Arithmetic Progressions

MCQ▾

Question

The sum of the first term and the fifth term of an ascending A. P. is 30 and the product of the second term by the fourth term is 200. Find the sum of the first seven terms of this A. P

Choices

Choice (4) Response
a.

140

b.

130

c.

190

d.

160

Question number: 629

» Arithmetic Progressions

MCQ▾

Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 99, and except for the sixth term, 89. Find the third term of the progression if the sum of the first and the fifth term is equal to 10.

Choices

Choice (4) Response
a.

10

b.

15

c.

5

d.

8

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