Mathematics-Basic Geometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 30 - 34 of 41

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Question number: 30

» Mathematics » Basic Geometry

MCQ▾

Question

Four circular cardboard pieces, each of radius 7 cm are placed in such a way that each piece touches the two other pieces. The area of the space enclosed by the four pieces is

Choices

Choice (4) Response

a.

42 cm 2

b.

21 cm 2

c.

168 cm 2

d.

84cm 2

Question number: 31

» Mathematics » Basic Geometry

MCQ▾

Question

In the figure, PQ is a chord of a circle with center O and PT is the tangent at P such that ∠ QPT = 70°. Then, the measure of ∠ PRQ is equal to

A circle having a chord and making angle with it

A Circle Having a Chord and Making Angle With It

Find the angle PRQ by using the mathematical theorem of circles

Choices

Choice (4) Response

a.

150°

b.

120°

c.

110°

d.

135°

Question number: 32

» Mathematics » Basic Geometry

MCQ▾

Question

AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the center and the distance between them is 17 cm, the radius of the circle is

Choices

Choice (4) Response

a.

15 cm

b.

12 cm

c.

10 cm

d.

14 cm

Question number: 33

» Mathematics » Basic Geometry

MCQ▾

Question

E and F are respectively the mid-points of the sides AB and AC of ∆ABC and the area of the quadrilateral BEFC is k times the area of ∆ ABC. The value of k is

Choices

Choice (4) Response

a.

4

b.

3

c.

34

d.

12

Question number: 34

» Mathematics » Basic Geometry

MCQ▾

Question

The encircle of a ∆ABC touches the sides AB, BC and AC at the point P, Q and R respectively, then which of the following statements is/are correct?

I. AP + BQ + CR = PB + QC + RA

II. AP + BQ + CR = 0.5 (perimeter of ∆ABC)

III. AP + BQ + CR = 3 (AB + BC + CA)

Choices

Choice (4) Response

a.

I, II and III

b.

Only I

c.

II and III

d.

I and II

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