IMO- Mathematics Olympiad Class 10: Questions 636 - 641 of 908

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Question number: 636

» Arithmetic Progressions

MCQ▾

Question

The value of k=14(1)k+12k+1 is ________

Choices

Choice (4) Response

a.

123315

b.

167315

c.

223315

d.

167315

Question number: 637

» Arithmetic Progressions

MCQ▾

Question

Product of the fourth term and the fifth term of an arithmetic progression is 456. Division of the ninth term by the fourth term of the progression gives quotient as 11 and the remainder as 10. Find the first term of the progression

Choices

Choice (4) Response

a.

46

b.

66

c.

76

d.

96

Question number: 638

» Arithmetic Progressions

MCQ▾

Question

Six numbers are inserted between the numbers 6 and 97 such that an A. P. results. Find the seventh numbers.

Choices

Choice (4) Response

a.

48

b.

84

c.

98

d.

89

Question number: 639

» Arithmetic Progressions

MCQ▾

Question

If ‘a’ is the A. M. of 3 numbers and ‘b’ is the A. M. of their squares, then the A. M. of their pair-wise products in terms of a and b is ________

Choices

Choice (4) Response

a.

b23a22

b.

3a2b2

c.

3a2+b2

d.

b3a22

Question number: 640

» Arithmetic Progressions

MCQ▾

Question

The value of k=115(2k3) is ________

Choices

Choice (4) Response

a.

390

b.

195

c.

210

d.

420

Question number: 641

» Arithmetic Progressions

MCQ▾

Question

If four numbers are in A. P. such that their sum is 90 and the greatest number is 4 times the least, then the numbers are ________

Choices

Choice (4) Response

a.

14,24,28,34

b.

5,12,18,25

c.

9,18,27,36

d.

Question does not provide sufficient data or is vague

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