# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 486 - 493 of 968

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## Question 486

### Question

MCQ▾

Find the area of the quadrilateral, the coordinates of whose angular points taken in order are .

### Choices

Choice (4)Response

a.

184

b.

115

c.

146

d.

712

## Question 487

### Question

MCQ▾

The mean of 10 observations is . if each observation is multiplied by 4, then what is the new mean?

### Choices

Choice (4)Response

a.

60

b.

50

c.

70

d.

30

## Question 488

### Question

MCQ▾

The mean of 9 observations is 36. If the mean of the first 5 observations is 32 and that of the last 5 observations is 39, then the fifth observation is ________

### Choices

Choice (4)Response

a.

37

b.

28

c.

43

d.

31

## Question 489

### Question

MCQ▾

is three vertices of the parallelogram WXYZ. The coordinates of fourth vertex is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 490

### Question

MCQ▾

If the Points are collinear then which of the following is true?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 491

### Question

MCQ▾

The vertices of are . If AD is angle bisector, where D meets on BC, then coordinates of D are ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 492

### Question

MCQ▾

In the figure, is isosceles. Then ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 493

### Question

MCQ▾

A card is drawn from a packet of 200 cards numbered 1 to 200. The probability of drawing a number which is a thrice is ________

### Choices

Choice (4)Response

a.

b.

c.

d.