Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 70 - 76 of 81

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Question number: 70

» 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: 71

» 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: 72

» 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: 73

» 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

Question number: 74

» Arithmetic Progressions

MCQ▾

Question

Between the numbers 7 and 70, 28 means are inserted, then their sum is ________

Choices

Choice (4) Response

a.

1695

b.

1078

c.

1895

d.

1795

Question number: 75

» Arithmetic Progressions

MCQ▾

Question

In an A. P, If it is given that t2p+1=t2q+1 then t6p+1 is equal to ________

Choices

Choice (4) Response

a.

tp+q

b.

t6p+1

c.

6tpq+1

d.

2tp+q1

Question number: 76

» Arithmetic Progressions

MCQ▾

Question

The value of k=15(1k)2 is ________

Choices

Choice (4) Response

a.

11431200

b.

11431500

c.

11431500

d.

11431200

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