# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 545 - 551 of 1484

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## Question 545

### Question

MCQ▾

A top is of the shape of a cone over a hemisphere. The radius of the hemisphere is 7 cm. The total height of the top is 31 cm. The total area of top is ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question 546

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 547

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 548

### Question

MCQ▾

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

### Choices

Choice (4)Response

a.

29 years

b.

23 years

c.

30 years

d.

25 years

## Question 549

### Question

MCQ▾

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 550

### Question

MCQ▾

If , then 16x equals

### Choices

Choice (4)Response

a.

0

b.

- 2

c.

52

d.

## Question 551

### Question

MCQ▾

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.

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