Understanding Elementary Shapes Test

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Understanding Elementary Shapes Test - 32

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Weekly Quiz Competition

Question 1
1 / -0

Mark the correct alternative of the following.
An angle of measure $$140^o$$ is?

A
An acute angle

B
An obtuse angle

C
A straight angle

D
A complete angle

Solution

An angle that measures $$<180^o$$ but $$>90^o$$ is called an obtuse angle.
Here it is given $$140^o$$, so it is an obtuse angle.
Question 2
1 / -0

Mark the correct alternative of the following.
The number of degrees in $$2$$ right angles is?

A
$$90^o$$

B
$$180^o$$

C
$$270^o$$

D
$$360^o$$

Solution

$$2$$ right angles $$=2\times 90^o=180^o$$.
Question 3
1 / -0

Plane figure with five sides is known as

A
octagon

B
hexagon

C
pentagon

D
none of these

Solution

A plane figure can be made of straight lines, curved lines, or both straight and curved lines. Pentagon is a plane figure which is made up of five line segments.
Hence, C will be correct answer.
Question 4
1 / -0

Plane figure with three sides is called

A
rectangle

B
triangle

C
quadrilateral

D
none of these

Solution

A plane figure can be made of straight lines, curved lines, or both straight and curved lines. Triangle is a plane figure which is made up of three line segments or sides.
Hence, B will be correct answer.
Question 5
1 / -0

An angle measuring $$270^{o}$$ is:

A
an obtuse angle

B
an acute angle

C
a straight angle

D
a reflex angle

Solution

The given measure of angle is $$270^o.$$
Reflex angles are angles measuring greater than $$180^o$$ and less than $$360^o.$$
$$\therefore$$ $$270^o$$ is a reflex angle.
Hence, option $$D$$ is correct.
Question 6
1 / -0

A triangle having sides of different lengths is called

A
an isosceles triangles

B
an equilateral triangle

C
a scalene triangle

D
a right triangle

Solution

A triangle having sides of different lengths is called a scalene triangle
Question 7
1 / -0

The ratio of the number of sides of a square and the number of edges of a cube is

A
$$1:2$$

B
$$1:3$$

C
$$1:4$$

D
$$2:3$$

Solution

Number of sides of square $$=4$$
Edges of cube $$=12$$
$$\therefore$$ Ratio $$=4:12$$
$$\Rightarrow 1:3$$
Question 8
1 / -0

Measures of the two angles between an hour and minute hands of a clock at 9'O clock are

A
$${ 60 }^{ o },{ 300 }^{ o }$$

B
$${ 270 }^{ o },{ 90 }^{ o }$$

C
$${ 75 }^{ o },{ 285 }^{ o }$$

D
$${ 30 }^{ o },{ 300 }^{ o }$$

Solution

We know that $$60\ minute={360}^{o}$$
So, $$1\ minute =6^{\circ}$$
Number of minutes between $$9'O$$ clock and $$12'O$$ clock is $$15$$ in clockwise direction and $$45$$ in anticlockwise direction
$$\therefore$$ Required angle $$=45\times { 6 }^{ o }={ 270 }^{ o }$$ in anticlockwise direction;
And $$15\times { 6 }^{ o }={ 90 }^{ o }$$ in clockwise direction
Hence, option $$B$$ is correct.
Question 9
1 / -0

A polygon has a prime number of sides. Its number of sides is equal to the sum of the two least consecutive primes. The number of diagonals of the polygon is

A
$$4$$

B
$$5$$

C
$$7$$

D
$$10$$

Solution

Given
Number of sides in the polygon $$=$$ sum of the two least consecutive primes
$$=2+3$$ ($$\because$$ $$2$$ and $$3$$ are least consecutive prime number)
$$=5$$
We know that
The number of diagonal $$=\dfrac { n(n-3) }{ 2 }$$ where, $$n=$$ no. of sides
$$= \dfrac { 5\times (5-3) }{ 2 } =5$$
Question 10
1 / -0

The number of diagonals in a spetagon is

A
$$21$$

B
$$42$$

C
$$7$$

D
$$14$$

Solution

Number of the diagonal in a polygon, where $$n$$ isnumber of side of a polygon is $$\cfrac{n(n-3)}2$$
Septagon has $$7$$ sides, number of sides in a septagon $$n=7$$
$$\therefore\text{Number of diagonals in septagon}= \cfrac { 7(7-3) }{ 2 } =\cfrac { 7\times 4 }{ 2 } = 7\times 2=14$$
So, option $$D$$ is correct.

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Re-Attempt Weekly Quiz Competition

Understanding Elementary Shapes Test - 32

Result

Understanding Elementary Shapes Test - 32

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SHARING IS CARING

Question 1

An acute angle

An obtuse angle

A straight angle

A complete angle

Solution

Question 2

$$90^o$$

$$180^o$$

$$270^o$$

$$360^o$$

Solution

Question 3

octagon

hexagon

pentagon

none of these

Solution

Question 4

rectangle

triangle

quadrilateral

none of these

Solution

Question 5

an obtuse angle

an acute angle

a straight angle

a reflex angle

Solution

Question 6

an isosceles triangles

an equilateral triangle

a scalene triangle

a right triangle

Solution

Question 7

$$1:2$$

$$1:3$$

$$1:4$$

$$2:3$$

Solution

Question 8

$${ 60 }^{ o },{ 300 }^{ o }$$

$${ 270 }^{ o },{ 90 }^{ o }$$

$${ 75 }^{ o },{ 285 }^{ o }$$

$${ 30 }^{ o },{ 300 }^{ o }$$

Solution

Question 9

$$4$$

$$5$$

$$7$$

$$10$$

Solution

Question 10

$$21$$

$$42$$

$$7$$

$$14$$

Solution

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