# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 553 - 559 of 1484

Access detailed explanations (illustrated with images and videos) to 1484 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. Subscription can be renewed yearly absolutely FREE! View Sample Explanation or View Features.

Rs. 500.00 or

How to register?

## Question number: 553

Edit
MCQ▾

### Question

For the expression , if and . Find the value of a, b and c

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 554

Edit
MCQ▾

### Question

The sum of 20 terms of is

### Choices

Choice (4) Response

a.

420. log3

b.

log210

c.

210. log3

d.

log20

## Question number: 555

Edit
MCQ▾

### Question

Find the value of ‘k’ if the expression p (x) = and q (x) = leave the same remainder when divided by .

### Choices

Choice (4) Response

a.

- 1

b.

- 2

c.

3

d.

2

## Question number: 556

Edit
MCQ▾

### Question

A cone of radius 20 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.

6: 1

b.

1: 7

c.

1: 14

d.

9: 1

## Question number: 557

Edit
MCQ▾

### Question

If and then = ________.

### Choices

Choice (4) Response

a.

b.

2p

c.

2

d.

All of the above

## Question number: 558

Edit
MCQ▾

### Question

The difference of the roots of is

### Choices

Choice (4) Response

a.

23

b.

c.

- 3

d.

None of the above

## Question number: 559

Edit
MCQ▾

### Question

and are three vertices of the parallelogram ABCD. The coordinates of the fourth vertex is ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

Developed by: