# IMO- Mathematics Olympiad (SOF) Class 10: Questions 635 - 641 of 958

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## Question number: 635

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: 636

MCQ▾

### Question

The value of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 637

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

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

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: 640

MCQ▾

### Question

The value of is ________

### Choices

Choice (4) Response

a.

390

b.

195

c.

210

d.

420

## Question number: 641

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

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