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MATHS M.C.Q. [1 Marks Each]

Visualising Solid Shapes · Bihar Board (BSEB) STD 7 (BSEB - English Medium). 170 questions.

Questions · Page 2 of 4

M.C.Q. [1 Marks Each]

MCQ 521 Mark
What cross - section do you get when you give a vertical cut to a brick?
  • ✓
    Square
  • B
    Rectangle
  • C
    Triangle
  • D
    Circle
Answer
Correct option: A.
Square
Square
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MCQ 531 Mark
The top - view of a cone looks like:
  • ✓
    A Circle
  • B
    A Square
  • C
    A Rectangle
  • D
    A Triangle
Answer
Correct option: A.
A Circle
The base of a right - cone is always circular.
When we see it from the top, it looks like a circle with its vertex as the center of the circle.
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MCQ 541 Mark
What cross - sections do you get when you cut a brick horizontally?
  • A
    Circle
  • B
    Triangle
  • ✓
    Rectangle
  • D
    None of these
Answer
Correct option: C.
Rectangle
Rectangular cross-section obtained if we cut a brick horizontally.
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MCQ 551 Mark
The shadow of the lamp of an a cube when seen under overhead projector is:
  • ✓
    Square
  • B
    Circle
  • C
    Triangle
  • D
    Rectangle
Answer
Correct option: A.
Square
Square
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MCQ 561 Mark
The number of faces of a triangular prism is _______.
  • A
    $5$
  • B
    $6$
  • ✓
    $4$
  • D
    None of these
Answer
Correct option: C.
$4$
$4$
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MCQ 571 Mark
The base of a prism is:
  • A
    Circle
  • B
    Triangle
  • C
    Square
  • ✓
    Any shape
Answer
Correct option: D.
Any shape

A pyramid is a polyhedron whose base is a polygon (of any number of sides) and whose lateral faces are triangles with a common vertex.

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MCQ 581 Mark
What cross-sections do you get when you cut a candle horizontally?
  • A
    Rectangle
  • B
    Square
  • ✓
    Circle
  • D
    Triangle
Answer
Correct option: C.
Circle

A circular cross-section is formed when we cut a candle horizontally.

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MCQ 591 Mark
The top - view of a cuboid looks like a:
  • A
    Circle
  • B
    Square
  • ✓
    Rectangle
  • D
    Triangle
Answer
Correct option: C.
Rectangle
Rectangle
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MCQ 601 Mark
Which of the following is the number of vertices of sphere?
  • ✓
    $0$
  • B
    $1$
  • C
    $2$
  • D
    $4$
Answer
Correct option: A.
$0$
$0$
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MCQ 611 Mark
The faces of a cube consist of:
  • A
    $8$ squares
  • B
    $4$ squares and $2$ rectangles
  • C
    $2$ squares and $4$ rectangle
  • ✓
    $6$ squares
Answer
Correct option: D.
$6$ squares
$6$ squares
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MCQ 621 Mark
What cross - section do you get when you give a horizontal cut to a round apple?
  • ✓
    Circle
  • B
    Square
  • C
    Rectangle
  • D
    Triangle
Answer
Correct option: A.
Circle
Circle
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MCQ 631 Mark
The faces of a triangular pyramid consist of:
  • A
    $1$ square and $3$ triangles
  • B
    $2$ triangles and $3$ rectangles
  • ✓
    $4$ triangles
  • D
    $2$ rectangles and $3$ triangles
Answer
Correct option: C.
$4$ triangles
$4$ triangles
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MCQ 641 Mark
What cross - sections do you get when you cut a candle horizontally?
  • A
    Rectangle
  • B
    Square
  • ✓
    Circle
  • D
    Triangle
Answer
Correct option: C.
Circle
A circular cross - section is formed when we cut a candle horizontally.
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MCQ 671 Mark
Rakesh has $10$ one rupee coins of similar kind. He puts them exactly one on the other. What shape will he get finally?
  • A
    Circle
  • ✓
    Cylinder
  • C
    Cube
  • D
    Cone
Answer
Correct option: B.
Cylinder
Cylinder
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MCQ 681 Mark
Opposite faces of at die always have a total of dots on them:
  • A
    $6$
  • B
    $5$
  • ✓
    $7$
  • D
    None of these
Answer
Correct option: C.
$7$
Observe a die and see.
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MCQ 691 Mark
What cross-sections do you get when you cut a brick horizontally?
  • A
    Circle
  • B
    Triangle
  • ✓
    Rectangle
  • D
    None of these
Answer
Correct option: C.
Rectangle
Rectangular cross-section obtained if we cut a brick horizontally.
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MCQ 701 Mark
The edges of a surface are:
  • A
    Curves
  • ✓
    Lines
  • C
    Flat
  • D
    Circles
Answer
Correct option: B.
Lines
The edges of a surface are lines.
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MCQ 721 Mark
What cross - section do you get when you give a vertical cut to a round apple?
  • ✓
    Circle
  • B
    Triangle
  • C
    Square
  • D
    Rectangle
Answer
Correct option: A.
Circle
Circle
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MCQ 741 Mark
Two cubes of edge length $2\ cm$ are placed side by side. The length of the resulting cuboid is:
  • A
    $2\ cm$
  • ✓
    $4\ cm$
  • C
    $1\ cm$
  • D
    None of these
Answer
Correct option: B.
$4\ cm$
$4\ cm$
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MCQ 751 Mark
Is sphere, $a$ $2D$ or $a$ $3D$ object?
  • A
    $2D$
  • ✓
    $3D$
  • C
    Does not exist in both planes
  • D
    None of the above
Answer
Correct option: B.
$3D$
A sphere is $a\ 3$ dimensional figure.
It can be represented only in $xyz$ plane.
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MCQ 761 Mark
The number of faces of a cube is:
  • A
    $8$
  • B
    $12$
  • ✓
    $6$
  • D
    $3$
Answer
Correct option: C.
$6$

Cube is $a\ 3D$ solid object bounded by six square faces with three meeting at each vertex.
Hence a cube has $6$ faces.

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MCQ 771 Mark
If two cubes of edge $5\ cm$ each is joined end to end, find the surface area of the resulting cuboid.
  • ✓
    $250cm^2$
  • B
    $350cm^2$
  • C
    $400cm^2$
  • D
    $500cm^2$
Answer
Correct option: A.
$250cm^2$
Edge of the cube $= 5\ cm$
After joining two cubes,
Total length, $l = 5 + 5 = 10\ cm$
Breadth, $b = 5\ cm$ and Height, $h = 5\ cm$
$\therefore$ Surface Area =$ 2(lb + bh + lh)$
$= 2(10 \times 5 + 5 \times 5 + 5 \times 10)$
$= 2 \times 125$
$= 250\ cm^2$
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MCQ 801 Mark
The given figure represent
  • A
    Cube
  • ✓
    Cuboid
  • C
    Rectangle
  • D
    Square
Answer
Correct option: B.
Cuboid

The given figure represents a cuboid.

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MCQ 831 Mark
Which statement is false in the following statement?
  • A
    A triangle has three sides.
  • ✓
    A cylinder has four faces which are circles.
  • C
    Faces of the cuboid are in the shape of a rectangle.
  • D
    Faces of the cube are in the shape of square.
Answer
Correct option: B.
A cylinder has four faces which are circles.

A cylinder has four faces which are circles.
This statement is false.
Because in a cylinder there are two circular faces.

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MCQ 841 Mark
The joint between separate faces of a solid is called an.
  • ✓
    Edge
  • B
    Face
  • C
    Vertex
  • D
    Median
Answer
Correct option: A.
Edge

A face is a flat surface.
An edge is where two faces meet.
A vertex is a corner where edges meet.

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MCQ 851 Mark
The given figure represents
  • A
    Cube
  • B
    Square
  • C
    Rectangle
  • ✓
    Quadrilateral
Answer
Correct option: D.
Quadrilateral

In the given figure, there are 4 lines and are connected to each other.
They are all unequal.
So, it represents a quadrilateral.

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MCQ 871 Mark
If two cubes of dimensions 2cm by 2cm are placed side by side, what would the dimensions of resulting cuboid be?
  • ✓
    $4, 2, 2$
  • B
    $2, 4, 2$
  • C
    $2, 2, 4$
  • D
    Noun of these
Answer
Correct option: A.
$4, 2, 2$
When two cubes are kept side by side the length is the only measurement which increases, it becomes $2 + 2 = 4cm$.
The breadth $= 2\ cm$ and the height $= 2\ cm.$
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MCQ 881 Mark
The vertical cut of a brick will show the cross section is:
  • A
    Circle
  • B
    Pentagon
  • ✓
    Rectangle
  • D
    Hexagon
Answer
Correct option: C.
Rectangle
Rectangle
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MCQ 891 Mark
Square has ________ sides and four corners:
  • A
    Three
  • ✓
    Four
  • C
    Two
  • D
    One
Answer
Correct option: B.
Four
Square has $4$ sides and four corners.
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MCQ 901 Mark
If two cubes of dimensions 3cm by 3cm are placed side by side, then breadth of the resulting cubiod is:
  • ✓
    $3\ cm$
  • B
    $6\ cm$
  • C
    $9\ cm$
  • D
    $12\ cm$
Answer
Correct option: A.
$3\ cm$

If we join two cubes, we find the cuboid as shown in the above figure.
Now, from the figure,
Breadth of the cuboid $= 3\ cm$
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MCQ 911 Mark
If two cubes of dimensions $3\ cm$ by $3\ cm$ are placed side by side, then height of the resulting cubiod is:
  • ✓
    $3\ cm$
  • B
    $6\ cm$
  • C
    $9\ cm$
  • D
    $12\ cm$
Answer
Correct option: A.
$3\ cm$

If we join two cubes, we find the cuboid as shown in the above figure.
Now, from the figure,
Height of the cuboid $= 3\ cm$
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MCQ 921 Mark
Which of the following statements is true?
  • A
    The lateral faces of a square prism are triangles.
  • ✓
    The lateral faces of a triangular prism can be squares or rectangles.
  • C
    The lateral faces of a square pyramid can be squares.
  • D
    The lateral faces of a triangular pyramid can be squares or rectangles.
Answer
Correct option: B.
The lateral faces of a triangular prism can be squares or rectangles.
The lateral faces of a triangular prism can be squares or rectangles.
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MCQ 931 Mark
What cross - section do you get when you give a horizontal cut to a die?
  • ✓
    Square
  • B
    Rectangle
  • C
    Triangle
  • D
    Circle
Answer
Correct option: A.
Square
Square
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MCQ 941 Mark
The name of the shape is:
  • A
    Sphere
  • B
    Cylinder
  • ✓
    Cone
  • D
    Triangle
Answer
Correct option: C.
Cone

It has $2$ faces $\rightarrow 1$ curved face and 1 flat face.
It has $1$ curved edge.
it is Cone.

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MCQ 951 Mark
If a polyhedron has $6$ vertices and $12$ edges. What is the number of faces it has?
  • A
    $6$
  • ✓
    $8$
  • C
    $12$ 
  • D
    $18$ 
Answer
Correct option: B.
$8$
By Euler’s formula we know that: For any polyhedron, $F + V - E = 2$
$F = 2 - V + E$
$F = 2 - 6 + 12$
$= 8$
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MCQ 971 Mark
By folding the adjoining net, we get:
  • A
    A cube
  • B
    A cylinder
  • ✓
    A pyramid
  • D
    A cone
Answer
Correct option: C.
A pyramid
A pyramid
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MCQ 981 Mark
Cuboid is an example of:
  • A
    Both
  • B
    $2 - D$ shape
  • ✓
    $3 - D$ shape
  • D
    None of these
Answer
Correct option: C.
$3 - D$ shape
$3 - D$ shape
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MCQ 991 Mark
The number of triangular faces of a triangular prism is _______.
  • ✓
    $2$
  • B
    $1$
  • C
    $4$
  • D
    None of these
Answer
Correct option: A.
$2$
$2$
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MCQ 1001 Mark
What is the difference between a rectangle and a cube?
  • A
    A rectangle is $3$ - dimensional and a cube is $2$ - dimensional.
  • B
    A rectangle and a cube are both $2$ - dimensional.
  • ✓
    A rectangle is $2$ - dimensional and a cube is $3$ - dimensional.
  • D
    A rectangle and a cube are both $3$ - dimensional.
Answer
Correct option: C.
A rectangle is $2$ - dimensional and a cube is $3$ - dimensional.
The difference in rectangle and cube is that, a rectangle is $a\ 2$ - dimensional figure.
Where the length and the breadth of the geometry are specified.
A cube is $a\ 3$ - dimensional figure where the length, breadth and depth of the geometry are specified.
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