Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 51 - 56 of 81

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Question number: 51

» Arithmetic Progressions

MCQ▾

Question

A number 100 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is 6:4 . Find the largest part.

Choices

Choice (4) Response

a.

30

b.

60

c.

10

d.

40

Question number: 52

» Arithmetic Progressions

MCQ▾

Question

If six numbers are in A. P. such that their sum is 30 and the greatest number is 6 times the least, then the numbers are ________

Choices

Choice (4) Response

a.

52,103,256,356,203,152

b.

16,57,95,611,1321,1723

c.

12,45,67,37,1113,1513

d.

2,37,7,1213,8,1823

Question number: 53

» Arithmetic Progressions

MCQ▾

Question

A number 196 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is 10:12 . Find the largest part.

Choices

Choice (4) Response

a.

70

b.

28

c.

42

d.

56

Question number: 54

» Arithmetic Progressions

MCQ▾

Question

If 0.13939393939=ab , then a+b is equal to ________

Choices

Choice (4) Response

a.

1228

b.

1428

c.

1328

d.

1128

Question number: 55

» 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: 56

» 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

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