# 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:

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.

f Page