# Arithmetic Progressions (IMO- Mathematics Olympiad (SOF) Class 10): Questions 69 - 75 of 84

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## 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

## 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.

b.

c.

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 then is equal to ________

### Choices

Choice (4) Response

a.

b.

c.

d.

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