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.

 Figure made up of three squares

Figure Made Up of Three Squares

In figure AKHF, FKDE and HBCK are unit squares; AD and BF intersect in X.

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 33

» Sequence and Series » N Terms of Special Series (Squares & Cubes)

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

» Limits & Continuity » Polynomials

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

» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots

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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