# KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 32 - 36 of 265

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## 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

## Question number: 34

Appeared in Year: 2014

MCQ▾

### Question

The number of integers a in the interval [1, 2014] for which the system of equations,

has finitely many solutions is

### Choices

Choice (4) Response

a.

2014

b.

2013

c.

1007

d.

0

## Question number: 35

Appeared in Year: 2013

MCQ▾

### Question

Let x, y, z be non-zero real numbers such that and , then is equal to

### Choices

Choice (4) Response

a.

153

b.

154

c.

152

d.

155

## Question number: 36

» Basic Mathematics » Arithmetic » Ratio and Proportion

Appeared in Year: 2014

MCQ▾

### Question

The population of cattle in a farm increases so that the difference between the population in year n + 2 and that in year n is proportional to the population in year n + 1. If the populations in years 2010, 2011 and 2013 were 39, 60 and 123, respectively, then the population in 2012 was

### Choices

Choice (4) Response

a.

90

b.

84

c.

81

d.

87

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