Basic Mathematics-Geometry (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 24 - 28 of 64

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Question number: 24

» 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: 25

» 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.

c.

d.

49

Question number: 26

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

Let ABCD be a trapezium with AD parallel to BC. Assume there is a point M in the interior of the segment BC such that AB = AM and DC = DM. Then the ratio of the area of the trapezium to the area of triangle AMD is –

Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

None of the above

Question number: 27

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

In the figure given below, a rectangle of perimeter 100 units is divided into 9 congruent rectangles:

A rectangle divided by 9 congruent rectangles

A Rectangle Divided by 9 Congruent Rectangles

In figure a rectangle of perimeter 100 unit is divided in 9 congruent rectangles. Here, a, b and c represents the sides of congruent rectangles.

Find the value of (a, b, c).

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 28

» Basic Mathematics » Geometry » Polygons With More Than 4 Sides

MCQ▾

Question

A triangular corner is cut from a rectangular piece of board and the resulting pentagon has sides 5,13,15,17,20 in some order. The ratio of the area of the rectangle to the area of the pentagon is,

Choices

Choice (4) Response

a.

b.

c.

d.

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