# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 488 - 493 of 968

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## Question number: 488

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MCQ▾

### Question

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 number: 489

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 490

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MCQ▾

### Question

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

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 491

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MCQ▾

### Question

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 number: 492

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MCQ▾

### Question

In the figure, is isosceles. Then ________ Given the Triangle ABC is Isosceles Triangle Given the triangle ABC is isosceles triangle then find square AD minus square AC value

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 493

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MCQ▾

### Question

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.