# NSTSE (National Science Talent Search Exam- Unified Council) Class 10: Questions 571 - 579 of 1484

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## Question 571

### Question

MCQ▾

The height of a cone is 60 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume is the volume of cone, the height at which the section is made is ________.

### Choices

Choice (4)Response

a.

39.3 cm

b.

37.1 cm

c.

27.6 cm

d.

22.9 cm

## Question 572

### Question

MCQ▾

Find a positive integral solution to the equation

### Choices

Choice (4)Response

a.

110

b.

116

c.

115

d.

240

## Question 573

### Question

MCQ▾

If the and terms of an AP are P, Q and R respectively, then = ________.

### Choices

Choice (4)Response

a.

pqr

b.

c.

0

d.

1

## Question 574

MCQ▾

= ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague

## Question 575

### Question

MCQ▾

If then = ________.

### Choices

Choice (4)Response

a.

b.

37

c.

6

d.

All of the above

## Question 576

MCQ▾

Simplify:

### Choices

Choice (4)Response

a.

b.

0

c.

d.

## Question 577

### Question

MCQ▾

Area of triangle enclosed between the coordinate axes with vertices and is ________.

### Choices

Choice (4)Response

a.

7 sq units

b.

14 sq units

c.

21 sq units

d.

23 sq units

## Question 578

### Question

MCQ▾

If there are ‘n’ AMs between a and b, then common difference d = ________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 579

### Question

MCQ▾

If , then 36x equals

### Choices

Choice (4)Response

a.

-3

b.

18

c.

d.

85

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