# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 552 - 560 of 1484

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## Question 552

### Question

MCQ▾

If the mth term of an AP is and its nth term be , then its term is

### Choices

Choice (4)Response

a.

0

b.

1

c.

d.

None of the above

## Question 553

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 554

### Question

MCQ▾

The sum of 20 terms of is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 555

### Question

MCQ▾

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 556

### Question

MCQ▾

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 557

### Question

MCQ▾

If and then = ________.

### Choices

Choice (4)Response

a.

b.

2p

c.

2

d.

All of the above

## Question 558

### Question

MCQ▾

The difference of the roots of is

### Choices

Choice (4)Response

a.

23

b.

c.

- 3

d.

None of the above

## Question 559

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 560

### Question

MCQ▾

If the sum of the first 15 terms and the sum of the first 150 terms of a given AP are 150 and 15 respectively, then the sum of the first 155 terms is

### Choices

Choice (4)Response

a.

b.

c.

-155

d.

-87

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