# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 209 - 214 of 1484

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## Question number: 209

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### Question

Find the quadratic polynomial in x, which when divided by leaves remainders of 22,37 and 42 respectively.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 210

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### Question

The numbers of number which have 2,3, 4,5 as factors between 1 and 500 is

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Choice (4) Response

a.

4

b.

12

c.

16

d.

8

## Question number: 211

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### Question

From a circle of radius 30 cm a sector with angle is cut out and its bounding radii are bent so as to form a cone. Then its volume is

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Choice (4) Response

a.

b.

c.

d.

## Question number: 212

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### Question

A rational expression whose numerator is a quadratic polynomial with zeroes, 4 and 1 and whose denominator is a monomial with zeroes 5 is ________.

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Choice (4) Response

a.

b.

c.

d.

## Question number: 213

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MCQ▾

### Question

A hemispherical bowl is made of steel of 0.2 cm thickness. The inner radius of the bowl is 8 cm. The volume of steel used is ________.

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Choice (4) Response

a.

b.

c.

d.

## Question number: 214

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### Question

If P = and Q = then ________.

### Choices

Choice (4) Response

a.

b.

c.

d.

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