# Basic Mathematics-Geometry (KVPY Stream-SA (Class 11) Math): Questions 23 - 27 of 64

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## Question number: 23

» Basic Mathematics » Geometry » Advanced Therorems and Properties

Appeared in Year: 2013

MCQ▾

### Question

In a rectangle ABCD, points X and Y are the midpoints of AD and DC, respectively. Lines BX and CD when extended intersect at E, lines BY and AD when extended intersect at F. If the area of ABCD is 60 then the area of BEF is.

### Choices

Choice (4) Response

a.

90

b.

80

c.

60

d.

120

## 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.

f Page