# Mathematics [NSTSE (National Science Talent Search Exam- Unified Council) Class 9]: Questions 556 - 563 of 989

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## Question number: 556

Mathematics
Edit

### Question

MCQ▾

If and , then the value of is:

### Choices

Choice (4)Response

a.

704

b.

407

c.

470

d.

308

## Question number: 557

Mathematics
Edit

### Question

MCQ▾

The sides of a triangle are 22 cm, 30 cm and 32 cm. The altitude to largest side is

### Choices

Choice (4)Response

a.

b.

c.

cm

d.

## Question number: 558

Mathematics
Edit

### Question

MCQ▾

The rational number between and is:

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question number: 559

Mathematics
Edit

### Question

MCQ▾

In the following figure if AB = AC then find .

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 560

Mathematics
Edit

### Question

MCQ▾

The distance between and is

### Choices

Choice (4)Response

a.

8

b.

Can’t say

c.

0

d.

All of the above

## Question number: 561

Mathematics
Edit

### Question

MCQ▾

Mean of a set of observation is the value which

### Choices

Choice (4)Response

a.

Occurs most frequently

b.

Is a representative of whole group

c.

Divides observations into two equal parts

d.

Is the sum of observations

## Question number: 562

Mathematics
Edit

### Question

MCQ▾

If in a , and then is

### Choices

Choice (4)Response

a.

An isosceles triangle

b.

A right angled triangle

c.

An isosceles right angled triangle

d.

An equilateral triangle

## Question number: 563

Edit

### Question

MCQ▾

The height of a cone is 21 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume is the volume of cone, the height at which the section is made is ________.

### Choices

Choice (4)Response

a.

16.52 cm

b.

8.86 cm

c.

10.02 cm

d.

10.53 cm