# Mathematics [NSTSE (National Science Talent Search Exam- Unified Council) Class 9]: Questions 869 - 875 of 989

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## Question 869

Mathematics
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### Question

MCQ▾

The sides of a triangle are 12 cm, 16 cm and 20 cm. The altitude to shortest side is

### Choices

Choice (4)Response

a.

28 cm

b.

36 cm

c.

32 cm

d.

16 cm

## Question 870

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### Question

MCQ▾

The largest sphere is cut off from a cube of side 6 cm. The volume of the sphere will be:

### Choices

Choice (4)Response

a.

b.

c.

d.

108

## Question 871

Mathematics
Edit

### Question

MCQ▾

Which of the following is a pure surd?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 872

Edit

### Question

MCQ▾

A cylindrical vessel of diameter 9 cm is partly filled with water. 200 lead balls are dropped in it. The raise in water level is 0.6 cm. The diameter of each ball is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 873

Mathematics
Edit

### Question

MCQ▾

The probability of getting a number greater than 3 or an odd number in a single throw of a fair die is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 874

Mathematics
Edit

### Question

MCQ▾

The top of a broken tree touches the ground at a distance of 40 m from its base. If the tree is broken at a height of 9 m from the ground, then the actual height of the tree is

### Choices

Choice (4)Response

a.

90 m

b.

81 m

c.

49 m

d.

50 m

## Question 875

Mathematics
Edit

### Question

MCQ▾

What is the percentage of least number in the greatest number if are arranged in ascending or descending order?

### Choices

Choice (4)Response

a.

40%

b.

c.

35%

d.