# IMO Level 1- Mathematics Olympiad (SOF) Class 11: Questions 10 - 16 of 17

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## Question number: 10

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MCQ▾

Value of

### Choices

Choice (4) Response

a.

2

b.

4

c.

0

d.

6

## Question number: 11

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MCQ▾

### Question

If two Set A and B are having 44 elements in common. Number of elements common to is

### Choices

Choice (4) Response

a.

1976

b.

1900

c.

44

d.

1936

## Question number: 12

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MCQ▾

### Question

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these number are the roots of the equation.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 13

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MCQ▾

### Question

Number greater than 1000 but not greater than 4000 which can be formed with the digits 0,1, 2,3, 4 (repetition of digits is allowed) are

### Choices

Choice (4) Response

a.

350

b.

576

c.

450

d.

375

## Question number: 14

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MCQ▾

### Question

A focus of an ellipse is at the origin. The directrix is the line and the eccentricity is . then the length of the semi-major axis is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 15

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MCQ▾

### Question

If A, B, C are non-empty sets and

### Choices

Choice (4) Response

a.

A = B but A≠C

b.

A = C but B≠C

c.

A, B, C may be disjoint set also

d.

A = B=C

## Question number: 16

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MCQ▾

### Question

The foci of the ellipse and the hyperbola coincide. Then the value of

### Choices

Choice (4) Response

a.

7

b.

5

c.

1

d.

9