Basic Mathematics-Geometry (KVPY Stream-SA (Class 11) Math): Questions 38 - 42 of 62

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Question number: 38

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

A triangular corner is cut from a rectangular piece of paper and the resulting pentagon has sides 5, 6, 8, 9, 12 in some order. The ratio of the area of the pentagon to the area of the rectangle is –

Choices

Choice (4) Response
a.

1318

b.

1718

c.

1518

d.

1118

Question number: 39

» Basic Mathematics » Geometry » Advanced Therorems and Properties

MCQ▾

Question

In the figure given below, a rectangle of perimeter 76 units is divided into 7 congruent rectangles:

A rectangle divided in to 7 congruent rectangles

A Rectangle Divided in to 7 Congruent Rectangles

In figure a rectangle of perimeter 76 unit is divided in to 7 congruent rectangles.

What is the perimeter of each of the smaller rectangles?

Choices

Choice (4) Response
a.

32

b.

38

c.

28

d.

19

Question number: 40

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

In a right triangle ABC, the incircle touches the hypotenuse AC at D. If AD = 2 and DC = 3, the inradius of ABC is,

Choices

Choice (4) Response
a.

1

b.

2

c.

3

d.

4

Question number: 41

» 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, 6, 12, 15, 130 in some order. The area of the rectangle is –

Choices

Choice (4) Response
a.

122.5

b.

63.25

c.

130

d.

148.5

Question number: 42

» Basic Mathematics » Geometry » Triangle and Properties

MCQ▾

Question

If sides of the triangle ABC are, a=(1+3)cm and b=2cm , also ∠C = 600, then other two angles are,

Choices

Choice (4) Response
a.

A=500andB=700

b.

A=750andB=450

c.

A=700andB=500

d.

A=650andB=550

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