KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math: Questions 34 - 38 of 265

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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,

Equation

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 Equation and Equation , then Equation 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

Question number: 37

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2012

MCQ▾

Question

In a triangle ABC, it is known that AB = AC. Suppose D is the mid-point of AC and BD = BC = 2. Then the area of the triangle ABC, is.

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

2

d.

Equation

Question number: 38

» Basic Mathematics » Geometry » Triangle and Properties

Appeared in Year: 2010

MCQ▾

Question

The sides of a triangle ABC are positive integers. The smallest side has length 1. Which of the following statement is true?

Choices

Choice (4) Response

a.

The area of ABC is always an irrational number

b.

The area of ABC is always a rational number

c.

The information provided is not sufficient to conclude any of the statements A, B or C above

d.

The perimeter of ABC is an even integer

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