# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 452 - 458 of 968

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## Question 452

### Question

MCQ▾

In an isosceles triangle ABC, is bisected by AD where D lies on BC. It is found that . Then equals ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 453

### Question

MCQ▾

The mean of is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 454

### Question

MCQ▾

Area of quadrilateral formed by the vertices is ________

### Choices

Choice (4)Response

a.

9 sq. units

b.

8 sq. units

c.

10 sq. units

d.

7 sq. units

## Question 455

### Question

MCQ▾

The average of 6 number is 40. If one of the numbers is excluded, the mean gets reduced by 5. Then the excluded number is ________

### Choices

Choice (4)Response

a.

35

b.

55

c.

65

d.

45

## Question 456

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

2: 1

b.

3: 4

c.

3: 1

d.

## Question 457

### Question

MCQ▾

A Train maintains an average speed of 40 km/hr while going from L to M and maintains an average speed of 60 km/hr while coming back from M to L. the average speed of the bus is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 458

### Question

MCQ▾

Points are joined to form a quadrilateral. What will be the structure of quadrilateral?

### Choices

Choice (4)Response

a.

Square

b.

Rhombus

c.

Parallelogram

d.

Rectangle