# Mathematics (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 32 - 37 of 224

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## Question number: 32

» Mathematics » Coordinate Geometry

MCQ▾

### Question

A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm. The uniform thickness of the cylinder is

### Choices

Choice (4) Response

a.

1.2 cm

b.

1 cm

c.

3 cm

d.

1.5 cm

## Question number: 33

» Mathematics » Rational Numbers

MCQ▾

### Question

The speed of three cars is in the ratio 4: 3: 2. What is the ratio between the times taken by the cars to cover the same distance?

### Choices

Choice (4) Response

a.

2: 3: 4

b.

4: 3: 2

c.

3: 4: 6

d.

1: 2: 3

## Question number: 34

» Mathematics » Trigonometry

MCQ▾

### Question

Two posts are K m apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height (in m) of the shorter post is

### Choices

Choice (4) Response

a.

b.

c.

3K

d.

2K

## Question number: 35

» Mathematics » Simple Interest and Compound Interest

MCQ▾

### Question

A sum amount to Rs. 9680 in 2 year and to Rs. 10648 in 3 year compounded annually. Then, the sum and rate of interest respectively are

### Choices

Choice (4) Response

a.

Rs. 8500, 9%

b.

Rs. 8500, 10%

c.

Rs. 8000, 10%

d.

Rs. 8000, 9%

## Question number: 36

» Mathematics » Linear Equation

MCQ▾

### Question

The sum of two numbers is 15. If the sum of their reciprocals is , then the numbers are

### Choices

Choice (4) Response

a.

7, 8

b.

10, 5

c.

8, 7

d.

6, 9

## Question number: 37

» Mathematics » Linear Equation

MCQ▾

### Question

The value of x satisfying the equation is

### Choices

Choice (4) Response

a.

5

b.

0, 5

c.

0, 4

d.

Question does not provide sufficient data or is vague

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