# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 401 - 406 of 968

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## Question number: 401

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MCQ▾

### Question

If are the vertices of a right angle triangle, right angle at P, then a is ________

### Choices

Choice (4)Response

a.

10

b.

6

c.

11

d.

12

## Question number: 402

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MCQ▾

### Question

Find the area of triangle if the coordinates of vertices are is ________

### Choices

Choice (4)Response

a.

8sq. units.

b.

3 sq. units

c.

9sq. units

d.

5 sq. units

## Question number: 403

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MCQ▾

### Question

Find the area of triangle if the coordinates of vertices are is ________

### Choices

Choice (4)Response

a.

7 sq. units

b.

3 sq. units

c.

5 sq. units

d.

4 sq. units

## Question number: 404

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MCQ▾

### Question

Two dice are thrown at a time. The probability that the difference of the numbers shown on the dice is 2 is ________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 405

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MCQ▾

### Question

The mean of 20 observations is . if each observation is multiplied by 2, then what is the new mean?

### Choices

Choice (4)Response

a.

30

b.

60

c.

70

d.

50

## Question number: 406

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MCQ▾

### Question

A box contains 40 balls of two different colours, out of which x are black. One ball is drawn at random. If 20 more black balls are put in the box, the probability of drawing a black ball now will be double that of the previous probability of drawing a black ball. Then, the value of x is ________

### Choices

Choice (4)Response

a.

12

b.

10

c.

15

d.

14

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