KVPY Stream-SA (Class 11) Math: Questions 99 - 103 of 251

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Question number: 99

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

Question

Suppose the height of a pyramid with a square base is decreased by p % and the lengths of the sides of its square base are increased by p% (where p > 0). If the volume remains the same, then.

Choices

Choice (4) Response

a.

60 < p < 65

b.

50 < p < 55

c.

65 < p < 70

d.

55 < p < 60

Question number: 100

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

Appeared in Year: 2013

MCQ▾

Question

If a, b are natural numbers such that 2013+a2=b2 , then the minimum possible value of ab is.

Choices

Choice (4) Response

a.

0

b.

2

c.

1

d.

3

Question number: 101

» Coordinate Geometry » Cartesian System of Rectangular Coordinates in Plane

Appeared in Year: 2012

MCQ▾

Question

In the adjacent figures, which has the shortest path?

Choices

Choice (4) Response

a.

Find Shortest Path – Choice A

Find Shortest Path – Choice A

Figure shows the path of the adjacent.

b.

 Shortest Path – Choice B

Shortest Path – Choice B

Figure shows the path of the adjacent.

c.

 Shortest Path – Choice C

Shortest Path – Choice C

Figure shows the path of the adjacent.

d.

 Find Shortest Path – Choice D

Find Shortest Path – Choice D

Figure shows the path of the adjacent.

Question number: 102

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2010

MCQ▾

Question

The three different face diagonals of a cuboid (rectangular parallelepiped) have lengths 39, 40, 41. The length of the main diagonal of the cuboid which joins a pair of opposite corners is

Choices

Choice (4) Response

a.

60

b.

492

c.

602

d.

49

Question number: 103

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

MCQ▾

Question

If x, y are natural numbers such that 2015+y2=x2 , then the maximum possible value of xy is,

Choices

Choice (4) Response

a.

5200

b.

41350

c.

40596

d.

51236

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