Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 66 - 72 of 84

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Question number: 66

» Arithmetic Progressions

MCQ▾

Question

In an A. P. , the sum of first n terms is, find its term

Choices

Choice (4) Response

a.

126

b.

175

c.

179

d.

178

Question number: 67

» Arithmetic Progressions

MCQ▾

Question

Find the sum of all the integers between 100 and 2000 which are divisible by 9

Choices

Choice (4) Response

a.

1, 22, 183

b.

2, 12, 193

c.

2, 22, 183

d.

2, 32, 183

Question number: 68

» Arithmetic Progressions

MCQ▾

Question

The value of is ________

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 69

» 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: 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.

b.

c.

d.

Question number: 72

» Arithmetic Progressions

MCQ▾

Question

The value of is ________

Choices

Choice (4) Response

a.

390

b.

195

c.

210

d.

420

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