# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 330 - 334 of 968

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## Question number: 330

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MCQ▾

### Question

A number 20 is divided into four parts that are in A. P. such that the product of the first and fourth is to the product of the second and third is . Find the largest part.

### Choices

Choice (4)Response

a.

4

b.

8

c.

9

d.

12

## Question number: 331

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MCQ▾

### Question

The number of terms common between the two series Up to 50 terms and the series up to 60 terms is ________

### Choices

Choice (4)Response

a.

26

b.

24

c.

25

d.

20

## Question number: 332

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MCQ▾

### Question

The mean of 12 observations is . By error, one observation was noted as was misread as 21. Then the correct mean is ________

### Choices

Choice (4)Response

a.

29.25

b.

28.25

c.

23.25

d.

27.25

## Question number: 333

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MCQ▾

### Question

Four vertices of a parallelogram taken in order are . What will be the ratio of a and b?

### Choices

Choice (4)Response

a.

13: 14

b.

12: 13

c.

13: 12

d.

14: 17

## Question number: 334

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MCQ▾

### Question

A bag contains 10 balls of two different colours, out of which x are cyan. One ball is drawn at random. If 20 more cyan balls are put in the bag, the probability of drawing a cyan ball now will be double that of the previous probability of drawing a cyan ball. Then, the value of x is ________

### Choices

Choice (4)Response

a.

5

b.

9

c.

8

d.

4

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