Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 6

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Question 1
1 / -0

State the name of a regular polygon of $$3$$ sides.

A
Equilateral triangle

B
Isoceles triangle

C
Scalene triangle

D
None of these

Solution

$$ A\quad regular\quad polygon\quad is\quad equiangular\quad and\quad equilateral.\\ \ A\quad polygon\quad having\quad 3\quad sides\quad is\quad called\quad an\quad EQUILATERAL \ \ TRIANGLE.\\ Ans-\quad EQUILATERAL \ \ TRIANGLE. $$
Question 2
1 / -0

A plumbline (sahul) is the combination of

A
a cone and a cylinder

B
a hemisphere and a cone

C
frustum of a cone and a cylinder

D
sphere and cylinder

Solution

From Cone:A solid object that has a circular base and one vertex..
Hemisphere:In geometry it is an exact half of a sphere..., Cone and Hemisphere
Question 3
1 / -0

At $$4:15$$, the angle formed between the two hands of a clock is:

A
acute

B
obtuse

C
right angle

D
none of these

Solution

At $$4:15$$, the hour will be between $$4$$ and $$5$$.
And minute hand will be on $$3$$.
Thus, the angle formed between these two hands will be less than $$90^{o}$$.
Hence, they form a acute angle.
Question 4
1 / -0

Identify a regular polygon of 4 sides from the below list

A
Square

B
Trapezium

C
Rectangle

D
Parallelogram

Solution

A regular polygon is one that has all sides of equal length and has equal angles between each edge of the polygon.

Between a square, a trapezium, a rectangle, and a parallelogram, the polygon that has $$4$$ equal sides is a square.

Hence square is the regular polygon of $$4$$ sides.
Question 5
1 / -0

Identify the number of polygons from the given figures?

A
$$5$$

B
$$2$$

C
$$6$$

D
$$3$$

Solution

A polygon is one which is made of straight lines and encloses a single area that is bounded by them.
From the given figure: Figure (1) & (2) are polygons while the rest others do not appear to be polygons.
Therefore there are $$2$$ polygons in the given figure.
Question 6
1 / -0

State the name of a regular polygon of $$6$$ sides.

A
Regular hexagon

B
Regular heptagon

C
Regular octagon

D
Regular nonagon

Solution

A regular polygon is equiangular and equilateral. A regular polygon having 6 sides is called a REGULAR HEXAGON
Ans- REGULAR HEXAGON.
Question 7
1 / -0

In Fig, POQ is a line. The value of x is:

A
$$20^0$$

B
$$25^0$$

C
$$30^0$$

D
$$35^0$$

Solution

Sum of the angles forming a linear pair is $$180^\circ$$
Here angles measuring $$40^\circ, 4x$$ and $$3x$$ form a linear pair.
So, $$40^\circ+4x+3x=180^\circ$$
$$7x+40^\circ=180^\circ$$
$$x=20^\circ$$
Question 8
1 / -0

A surface has

A
length and breadth

B
length only

C
breadth only

D
length and height

Solution

A surface has both length and breadth.
Question 9
1 / -0

The shape of a gilli, in the gilli-danda game (see Fig.), is a combination of

A
two cylinders

B
a cone and a cylinder

C
two cones and a cylinder

D
two cylinders and a cone

Solution

From Definition,
Cone: A solid ($$3$$-dimensional) object that has a circular base and one vertex
Cylinder: A solid object with:
* two identical flat ends that are circular or elliptical
* and one curved side., Answer is C
Question 10
1 / -0

$$\angle ABC$$ in the following figure is a / an:

A
acute angle

B
obtuse angle

C
reflex angle

D
straight angle

Solution

Angles larger than a straight angle but less than complete angle (i.e. between $$180^o$$ and $$360^o$$) are called reflex angles.

Here, the given $$\angle ABC$$ measures greater than $$180^o$$ but less than $$360^o$$.
Hence, the given angle is a reflex angle.
Therefore, option $$C$$ is correct.