# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 232 - 239 of 1484

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## Question 232

### Question

MCQ▾

If the sum of the first p terms of an AP is the same as the sum of its first q terms (where ) , then the sum of its first terms is

### Choices

Choice (4)Response

a.

1

b.

0

c.

d.

pq

## Question 233

MCQ▾

The roots of are

### Choices

Choice (4)Response

a.

1,2 and 3

b.

3

c.

0 and 3

d.

0, -1, -2 and 3

## Question 234

### Question

MCQ▾

If is divisible by then ________.

### Choices

Choice (4)Response

a.

b.

Either or

c.

Neither nor

d.

## Question 235

### Question

MCQ▾

A man saves ₹ 150 in a certain year and in each year thereafter he saves ₹ 50 more than the preceding year. In how many years will his total savings amount to ₹ 18,750?

### Choices

Choice (4)Response

a.

29 years

b.

30 years

c.

23 years

d.

25 years

## Question 236

### Question

MCQ▾

If and are the midpoints of the sides of , the area of the triangle is ________.

### Choices

Choice (4)Response

a.

48 sq units

b.

24 sq units

c.

6 sq units

d.

12 sq units

## Question 237

### Question

MCQ▾

If f (x) = and g (x) = have a common factor, then =

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 238

### Question

MCQ▾

The first four terms of an arithmetic sequence are 2x, a, 6x, b. The ratio of a to b is

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question 239

### 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

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