Euclid's Elements

Q. The boundary of a solid is called a

1. point
2. surface
3. edge
4. line

Q.

If $Q=\left\{x:x=\frac{1}{y},\mathrm{where}y\in N\right\}$, then

1. $0\in Q$

2. $1\in Q$

3. $2\in Q$

4. $\frac{2}{3}\in Q$

Q. Closed figure formed by 3 line segments is called a ____

1. circle
2. triangle
3. transversal
4. line segment

Q.

All six faces of a cuboid are $\_\_\_\_\_\_\_$ in shape and of $\_\_\_\_\_\_$ area.

Q. How many surfaces does a cube have?

1. 4
2. 6
3. 3
4. 8

Q. What are the ends of a line?

1. line segments
2. points
3. rays
4. surfaces

Q.

The lines which arent on the same plane and they neither intersect each other are called:

Q.

A line segment has both of its end-points fixed and so it has a definite length. True or False?

1. True

2. False

Q. Which of the following statements is/are true about points?

1. They are 1-D.
2. They have no dimension.
3. The ends of a line segment are points.
4. They are 2-D.

Q. Which of the following is/are the undefined terms put forth by Euclid?

1. Point
2. Parallel lines
3. Line
4. Plane

Q. How many line segments are there in the following figure?

1. 2
2. 3
3. 4
4. 5

Q. Which of the following is true about a surface?

1. It has only length
2. It has length and breadth only
3. It is 3 - dimensional
4. It is 1 dimensional

Q. The number of faces in cube are

1. 6

Q. How many line segments are there in a line segment which consists of three collinear points P, Q and R?

1. 2
2. 3
3. 4
4. 1

Q.

How many dimensions are there in the universe?

Q. In geometry, we take a point, a line and a plane (in Euclid’s words a plane surface) as undefined terms. The only thing is that we can represent them intuitively, or explain them with the help of ________.

1. physical models
2. axiom
3. postulate
4. theorem

Q. In book of Elements, Euclid described as the fundamental unit which has no dimension.

1. line
2. solid
3. point
4. angle

Q.

Which three-dimensional shape has a base and four-triangular faces?

Q.

How many lines can be drawn from a single point ?

1. 0

2. 1

3. 2

4. infinitely many

Q. A surface is a ___ entity.

1. 1-D
2. 2-D
3. 4-D
4. 3-D

Q.

If $a=i-k,b=xi+j+(1-x)k$and $c=yi+xj+(1+x-y)k$. Then, $[abc]$ depends on:

1. neither $x$ nor $y$

2. both $x$ and $y$

3. only $x$

4. only $y$

Q. Two lines drawn in a plane always intersect at a point.

1. False

2. True

Q.

If x= 1, y = -1, z = 2, find the value of

$5x-3y+z$

Q.

How many theorems did Euclid give in his book - Elements?

1. 5

2. 465

3. 7

4. 1456

Q. Which statement is true?
(a) A line segment $\overline{AB}$, when extended in both directions, is called ray $\underset{AB}{\to }$.
(b) $\mathrm{Ray}\underset{AB}{\to }=\mathrm{ray}\underset{BA}{\to }$
(c) Ray $\underset{AB}{\to }$ has one end-point A.
(d) Ray $\underset{AB}{\to }$ has two end-points A and B.

Q. A solid has ___ dimensions.

Q. Which of the following statements regarding surfaces is/are true?

1. They separate one part of a solid from the other.
2. They are 3-D.
3. They have no thickness.
4. They are 1-D.

Q.

A, B, C are three points such that. Do they lie on a straight line?

Q. A cuboid is a figure.

1. 1-D
2. 2-D
3. 3-D

Q. Which of the following statement is true regarding line segment?

1. A line segment is of breadthless length
2. A line segment is of 2 dimensions
3. The ends of a line segment are points
4. The edges of surfaces are line segment