# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 459 - 467 of 1484

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## Question number: 459

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MCQ▾

### Question

A cylindrical vessel of diameter 4 cm is partly filled with water. 300 lead balls are dropped in it. The raise in water level is 0.8 cm. The diameter of each ball is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 460

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MCQ▾

### Question

If and then = ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 461

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MCQ▾

### Question

The expression leaves a remainder 5 and 0 when divided by and repsectively. Calculate the values of a and b.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 462

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MCQ▾

### Question

If the nth term of an AP is , then the sum of the ‘n’ terms = ________.

### Choices

Choice (4)Response

a.

Cannot be determined

b.

c.

d.

All of the above

## Question number: 463

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MCQ▾

### Question

If one root of the equation is 1, then the other root is:

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 464

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MCQ▾

### Question

If then =________.

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question number: 465

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MCQ▾

### Question

If m and n are the rots of , then = ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 466

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MCQ▾

### Question

Find the quadratic polynomial which is exactly divided by and .

### Choices

Choice (4)Response

a.

b.

c.

d.

None of the above

## Question number: 467

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MCQ▾

### Question

The sum of and its reciprocal is

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

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