# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 267 - 275 of 1484

Access detailed explanations (illustrated with images and videos) to 1484 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 500.00 -OR-

## Question 267

### Question

MCQ▾

If and the sequence x, y and x, y each are in AP, then = ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

1

## Question 268

### Question

MCQ▾

If is exactly divisible by , then p = ________.

### Choices

Choice (4)Response

a.

12

b.

-2

c.

3

d.

All of the above

## Question 269

### Question

MCQ▾

If then = ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

All of the above

## Question 270

### Question

MCQ▾

The diameter of a copper sphere is 8 cm. It is beaten and drawn into a wire of diameter 0.6 cm. The length of wire is ________.

### Choices

Choice (4)Response

a.

985.14 cm

b.

984.15 cm

c.

948.15 cm

d.

945.18 cm

## Question 271

MCQ▾

then becomes

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 272

### Question

MCQ▾

If the sum of the first 5 terms and the sum of the first 50 terms of a given AP are 50 and 5 respectively, then the sum of the first 55 terms is

### Choices

Choice (4)Response

a.

110

b.

75

c.

-55

d.

-65

## Question 273

### Question

MCQ▾

The difference of the roots of is

### Choices

Choice (4)Response

a.

-7

b.

c.

5

d.

Question does not provide sufficient data or is vague

## Question 274

### Question

MCQ▾

The number of roots satisfying the equation is/are

### Choices

Choice (4)Response

a.

2

b.

3

c.

1

d.

Unlimited

## Question 275

### Question

MCQ▾

The sum of the first 100 positive integers exactly divisible by 4 is

### Choices

Choice (4)Response

a.

20020

b.

20200

c.

40400

d.

40040

Developed by: