# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 402 - 409 of 1484

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## Question 402

MCQ▾

The equation has

### Choices

Choice (4)Response

a.

Two imaginary roots

b.

One real root

c.

Two real roots

d.

One real and one imaginary root

## Question 403

### Question

MCQ▾

The nth term in the series

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 404

### Question

MCQ▾

The first four terms of an arithmetic sequence are p, 2x, q, 4x. The ratio of p to q is

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question 405

### Question

MCQ▾

Express in lowest terms.

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question 406

### Question

MCQ▾

From a circle of radius 15 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 407

### Question

MCQ▾

A circus tent is in the form of a cone over a cylinder. The diameter of the base is 6 m, the height of cylindrical part is 3.2 m and the total height of the tent is 7.2 m. The canvas required for the tent is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 408

### Question

MCQ▾

If , then the value of x is

### Choices

Choice (4)Response

a.

1 or -6

b.

-1 or 6

c.

-5 or 4

d.

3 or 5

## Question 409

### Question

MCQ▾

The measures of the interior angles of a convex polygon are in AP. If the smallest angle is and the largest angle is , then the number of sides of the polygon is

### Choices

Choice (4)Response

a.

4

b.

12

c.

6

d.

8

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