Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 12 - 17 of 84

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Question number: 12

» Arithmetic Progressions

MCQ▾

Question

The arithmetic mean of a number of pair wise distinct prime numbers is 27. Determine the biggest prime among them.

Choices

Choice (4) Response

a.

45

b.

48

c.

46

d.

47

Question number: 13

» Arithmetic Progressions

MCQ▾

Question

Obtain the sum of all positive integers up to 2000, which are divisible by 5 and not divisible by 2

Choices

Choice (4) Response

a.

2, 00, 000

b.

1, 00, 000

c.

3, 02, 000

d.

5, 00, 000

Question number: 14

» Arithmetic Progressions

MCQ▾

Question

The sum of the first term and the fifth term of an ascending A. P. is 28 and the product of the second term by the fourth term is 180. Find the sum of the first seven terms of this A. P

Choices

Choice (4) Response

a.

133

b.

115

c.

140

d.

126

Question number: 15

» Arithmetic Progressions

MCQ▾

Question

The value of k=114(2k24k+2) is ________

Choices

Choice (4) Response

a.

1696

b.

1638

c.

3499

d.

1292

Question number: 16

» Arithmetic Progressions

MCQ▾

Question

If b1,b2,b3,. Belongs to A. P. such that b1+b4+b7++b40=455 , then the value of b1+b2+b3++b40 equals ________

Choices

Choice (4) Response

a.

1300

b.

1652

c.

1400

d.

1500

Question number: 17

» Arithmetic Progressions

MCQ▾

Question

The sum of the fourth term and the six term of an ascending A. P. is 50 and the product of the third term by the fifth term is 200. Find the sum of the first ten terms of this A. P

Choices

Choice (4) Response

a.

392.5

b.

292.5

c.

529.5

d.

492.5

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