Arithmetic Progressions (IMO- Mathematics Olympiad (SOF) Class 10): Questions 50 - 55 of 84

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 958 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 450.00 or

Question number: 50

» Arithmetic Progressions

MCQ▾

Question

A circle with area is contained in the interior of a larger circle with area. If the radius of the larger circle is 3 units and are in A. P. , then the radius of the smaller circle is ________

Choices

Choice (4) Response

a.

b.

c.

d.

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 . 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.

b.

c.

d.

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 . Find the largest part.

Choices

Choice (4) Response

a.

70

b.

28

c.

42

d.

56

Question number: 54

» Arithmetic Progressions

MCQ▾

Question

If , then 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

f Page