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
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
In figure AKHF, FKDE and HBCK are unit squares; AD and BF intersect in X.
Choices
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Question number: 33
» Sequence and Series » N Terms of Special Series (Squares & Cubes)
Appeared in Year: 2010
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 |
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| b. | 6 |
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| c. | 7 |
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| d. | 14 |
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Question number: 34
» Limits & Continuity » Polynomials
Appeared in Year: 2014
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 |
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| b. | 2013 |
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| c. | 1007 |
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| d. | 0 |
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Question number: 35
» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots
Appeared in Year: 2013
Question
Let x, y, z be non-zero real numbers such that and , then is equal to
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | 153 |
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| b. | 154 |
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| c. | 152 |
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| d. | 155 |
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Question number: 36
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2014
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 |
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| b. | 84 |
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| c. | 81 |
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| d. | 87 |
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