# IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 36 - 40 of 109

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## Question 36

Appeared in Year: 2014

### Question

MCQ▾

Among six friends L, M, N, P, Q and S, each having a different height, N is taller than Q and P but shorter than M. P is taller than only Q while S is shorter than only L. Which of the following pairs represents the tallest and the shortest respectively among the five friends?

### Choices

Choice (4)Response

a.

M, P

b.

L, Q

c.

P, Q

d.

None of the above

## Question 37

Appeared in Year: 2014

### Question

MCQ▾

PS and QT are the medians of and . If cm, find the value of RU.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 38

Appeared in Year: 2014

### Question

MCQ▾

OCDE is a rectangle inscribed in a quadrant of a circle of radius 10 cm. If , find the area of the rectangle.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 39

Appeared in Year: 2014

### Question

MCQ▾

If ‘ means’ A is added to means ‘A is multiplied by means’ A is divided by means ‘B is subtracted from A’ ; then number of boys (B) in a class is equal to one-fourth of three times the number of girls (G) in the class can be represented as________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 40

Appeared in Year: 2014

### Question

MCQ▾

Fill in the blanks.

A circle is the collection of all points in a plane which are P from a fixed point in the plane. The fixed point is called Q of the circle and fixed distance is called R of the circle. A circle divides the plane on which it lies into S parts.

### Choices

Choice (4)Response

a.

P- Equidistant, Q- centre, R- radius, S- three

b.

P- Normal, Q- radius, R- centre, S- four

c.

P- Equal, Q- radius, R- centre, S- two

d.

P- Distance, Q- centre, R- radius, S- two