# IMO- Mathematics Olympiad Class 10: Questions 638 - 644 of 958

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## 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

## Question number: 642

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: 643

MCQ▾

### Question

In an A. P, If it is given that then is equal to ________

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 644

MCQ▾

### Question

The value of is ________

### Choices

Choice (4) Response

a.

b.

c.

d.

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