# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 411 - 416 of 1484

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## Question number: 411

Edit
MCQ▾

The equation has

### Choices

Choice (4)Response

a.

A real root between 20 and 23

b.

An extraneous root between -10 and -5

c.

Two extraneous roots

d.

An extraneous root between -6 and -1

## Question number: 412

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MCQ▾

### Question

A cylindrical vessel of diameter 9 cm has some water in it. A cylindrical iron piece of diameter 6 cm and height 3 cm is dropped in it. After it was completely immersed, the raise in the level of water is ________.

### Choices

Choice (4)Response

a.

4.21 cm

b.

2.66 cm

c.

1.33 cm

d.

2.28 cm

## Question number: 413

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MCQ▾

### Question

A vessel is in conical shape. If its volume is 16.632 liters and height is 9 cm, the cost of repairing its CSA at Rs. 3/sq m is

### Choices

Choice (4)Response

a.

6.4

b.

5.1

c.

1.7

d.

3.4

## Question number: 414

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MCQ▾

### Question

If , then the value of x is

### Choices

Choice (4)Response

a.

2 or 5

b.

1 or 5

c.

0 or -7

d.

0 or -9

## Question number: 415

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MCQ▾

### Question

A cone of radius 30 cm is divided into two parts by drawing a plane through the midpoints of its axis, parallel to its base. The ratio of volumes of the two parts formed is ________.

### Choices

Choice (4)Response

a.

7: 1

b.

1: 6

c.

1: 7

d.

1: 14

## Question number: 416

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MCQ▾

### Question

The lateral surface area of a right circular cylinder with base radius 7 cm and height 15 cm is

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

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