# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 292 - 298 of 1484

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## Question number: 292

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MCQ▾

### Question

Find the value of “a” and “b” so that and may be factors of .

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 293

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MCQ▾

### Question

In an AP, the sum of 3 numbers is 9 and their product is 15. Then the three numbers are

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 294

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MCQ▾

### Question

In a geometric series of positive terms the difference between the fourth and third terms is 588 and the difference between the second and first terms is 12. What is the sum of the first six terms of the series?

### Choices

Choice (4) Response

a.

39216

b.

39621

c.

36921

d.

32196

## Question number: 295

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MCQ▾

### Question

In an AP, the sum of 3 numbers is 15 and their product is 80. Then the three numbers are

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 296

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MCQ▾

### Question

Which of the following expression is a polynomial?

### Choices

Choice (4) Response

a.

b.

c.

d.

None of the above

## Question number: 297

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MCQ▾

### Question

One end of a diameter of a circle is and the center is . The coordinates of the other end is ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

All of the above

## Question number: 298

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MCQ▾

### Question

If the sums of n, 2n and 3n terms of an AP are respectively, then = ________.

### Choices

Choice (4) Response

a.

b.

0

c.

1

d.

3

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