# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 29 - 33 of 265

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## Question number: 29

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2009

MCQ▾

### Question

In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 10 and DC = 3 and the sides AB, BC and AC are integer, the inradius of ABC is

### Choices

Choice (4) Response

a.

4

b.

5

c.

2

d.

3

## Question number: 30

Appeared in Year: 2012

MCQ▾

### Question

If a, b, c, d are positive real numbers such that, , then is

### Choices

Choice (4) Response

a.

1

b.

c.

2

d.

All of the above

## Question number: 31

Appeared in Year: 2014

MCQ▾

### Question

Let a, b, c be non-zero real numbers such that a + b + c = 0; let and Then.

### Choices

Choice (4) Response

a.

always

b.

always

c.

can take both positive and negative value

d.

always

## Question number: 32

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2012

MCQ▾

### Question

In the figure, AKHF, FKDE and HBCK are unit squares; AD and BF intersect in X. Then the ratio of the areas of triangles AXF and ABF is.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 33

Appeared in Year: 2010

MCQ▾

### Question

The number of positive integers n in the set {1, 2, 3, …, 100} for which the number

is an integer is

### Choices

Choice (4) Response

a.

4

b.

6

c.

7

d.

14

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