# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 648 - 653 of 968

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## Question number: 648

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MCQ▾

### Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 81, and except for the sixth term, 55. Find the third term of the progression if the sum of the first and the fifth term is equal to 12.

### Choices

Choice (4)Response

a.

5

b.

15

c.

8

d.

10

## Question number: 649

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MCQ▾

### Question

If a, b, c are in A. P, then is equal to ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 650

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MCQ▾

### Question

If in a certain language CHARCOAL is coded as 32143516 and MORALE is coded as 754168, then the REAL code is ________

### Choices

Choice (4)Response

a.

6216

b.

4862

c.

4816

d.

1648

## Question number: 651

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MCQ▾

### Question

At a farm, there are ducks, Horses, buffalo and keepers to look after them. There are 134 heads less than legs. The number of horses is double than that of the buffalo but the number of horses and ducks is the same and there is one keeper per 30 birds and cattle. The total number of ducks plus horses and buffalo and their keepers does not exceed 80. How many houses are there?

### Choices

Choice (4)Response

a.

22

b.

23

c.

26

d.

24

## Question number: 652

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MCQ▾

### Question

Find the missing number in the adjoining figure. Given the Alphabets and Numbers Are in Adjoining FigureGiven the alphabets and numbers are in adjoining figure and find the missing number

### Choices

Choice (4)Response

a.

12

b.

14

c.

11

d.

13

## Question number: 653

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MCQ▾

### Question

Shana was both 17th highest and 17th lowest in an Aptitude contest. How many people were in the contest?

### Choices

Choice (4)Response

a.

34

b.

35

c.

36

d.

33

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