# Mathematics-Basic Geometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 28 - 32 of 42

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## Question number: 28

» Mathematics » Basic Geometry

MCQ▾

### Question

If the length of a rectangle is increased by and the area is unchanged, then by how much percent does the breadth decrease?

### Choices

Choice (4) Response

a.

%

b.

c.

%

d.

## Question number: 29

» Mathematics » Basic Geometry

MCQ▾

### Question

In a circle of radius 17 cm, two parallel chords are drawn on opposite side of a diameter. The distance between the chords is 23 cm. If the length of one chord is 16 cm, then the length of the other is

### Choices

Choice (4) Response

a.

23 cm

b.

30 cm

c.

34 cm

d.

15 cm

## Question number: 30

» Mathematics » Basic Geometry

MCQ▾

### Question

The area of a circle inscribed in an equilateral triangle of side 12 cm is

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 31

» Mathematics » Basic Geometry

MCQ▾

### Question

The length and the breadth of a rectangular park are in the ratio of . A path, wide running all around the outside of the park has an area of . The dimensions of the park are

### Choices

Choice (4) Response

a.

120 m, 75 m

b.

110 m, 85 m

c.

100 m, 95 m

d.

Question does not provide sufficient data or is vague

## Question number: 32

» Mathematics » Basic Geometry

MCQ▾

### Question

In the given figure, PQRS is a square and, then consider the following statements.

I.

II.

III.

IV.

Which of the following are correct choices?

### Choices

Choice (4) Response

a.

I and IV are correct

b.

I, II and III are correct

c.

II, III and IV are correct

d.

All a. , b. and c. are correct

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