IMO- Mathematics Olympiad Class 10: Questions 582 - 588 of 889

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Question number: 582

» 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: 583

» 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: 584

» 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: 585

» 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

Question number: 586

» Arithmetic Progressions

MCQ▾

Question

In an A. P. , the sum of first n terms is 3n22+5n2 , find its 25th term

Choices

Choice (4) Response

a.

78

b.

75

c.

76

d.

79

Question number: 587

» Arithmetic Progressions

MCQ▾

Question

Four numbers are inserted between the numbers 10 and 40 such that an A. P. results. Find the biggest of these four numbers.

Choices

Choice (4) Response

a.

34

b.

38

c.

35

d.

39

Question number: 588

» Arithmetic Progressions

MCQ▾

Question

If the sum of three consecutive terms of an increasing A. P. is 18 and the product of the first and third of these terms is 35, then the third term is ________

Choices

Choice (4) Response

a.

3

b.

12

c.

0

d.

7

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