# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 546 - 552 of 1484

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## Question number: 546

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MCQ▾

### Question

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 547

Edit
MCQ▾

### Question

If are the factors of then the other factor is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 548

Edit
MCQ▾

### Question

A man saves Rs. 100 in a certain year and in each year thereafter he saves Rs. 40 more than the preceding year. In how many years will his total savings amount to Rs. 20,400?

### Choices

Choice (4)Response

a.

29 years

b.

23 years

c.

30 years

d.

25 years

## Question number: 549

Edit
MCQ▾

### Question

A piece of metal pipe is 154 cm long with inside diameter of the cross section as 8 cm. If the outer diameter is 9 cm and the metal weighs the weight of pipe is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 550

Edit
MCQ▾

### Question

If , then 16x equals

### Choices

Choice (4)Response

a.

0

b.

- 2

c.

52

d.

## Question number: 551

Edit
MCQ▾

### Question

A circle with area is contained in the interior of a larger circle with area . If the radius of the larger circle is 6 and are in AP, then the radius of the smaller circle is

### Choices

Choice (4)Response

a.

b.

1

c.

d.

## Question number: 552

Edit
MCQ▾

### Question

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

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