# Mathematics [NSTSE (National Science Talent Search Exam- Unified Council) Class 9]: Questions 593 - 599 of 989

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## Question number: 593

Edit

### Question

MCQ▾

From a circle of radius 40 cm a sector with angle is cut out and its bounding radii are bent so as to form a cone. Then its volume is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 594

Mathematics
Edit

### Question

MCQ▾

Two dice are thrown at a time. The probability that the difference of the numbers shown on the dice is 5 is

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question number: 595

Edit

### Question

MCQ▾

A hollow sphere of internal and external diameters 12 cm and 16 cm respectively is melted into a cone of base diameter 14 cm. Find the height of the cone.

### Choices

Choice (4)Response

a.

48.4 cm

b.

12.1 cm

c.

19.5 cm

d.

24.2 cm

## Question number: 596

Edit

### Question

MCQ▾

Liquid is full in a hemisphere of inner diameter 12 cm. This is to be poured into cylindrical bottles of diameter 6 cm and height 2 cm. The numbers of bottles required are ________.

### Choices

Choice (4)Response

a.

48

b.

12

c.

24

d.

6

## Question number: 597

Mathematics
Edit

### Question

MCQ▾

The factors of are:

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 598

Edit

### Question

MCQ▾

The radius of a cylinder whose internal surface area is 352 and height 4 cm is

### Choices

Choice (4)Response

a.

14 cm

b.

7 cm

c.

3.5 cm

d.

28 cm

## Question number: 599

Mathematics
Edit

### Question

MCQ▾

The sum of rational and irrational number is always

### Choices

Choice (4)Response

a.

Rational

b.

Irrational

c.

Question does not provide sufficient data or is vague

d.

All of the above