1. One furlong = ________ meters.
a) 180
b) 300
c) 100
d) 200
Explanation: The furlong was the distance a team of oxen could plough without resting. This was standardized to be exactly 40 rods (1 rod = 51/2 yards) or one-eighth of a mile or 660 feet given by U.S unit system. Accurately one furlong = 201.168 meters
2. Length of scale (LOS) = ______ × ______
a) Max. Length and R.F
b) R.F and Min. length
c) R.I and Max. Length
d) E.I and Max. Length
Explanation: Representative fraction (R.F.) = (Length of object on the drawing)/(Actual length of the object). If the R.F is known and the maximum length of the actual area is given, then we can find the length of scale and after which the drawing is executed below the max. length of scale. It is calculated by the following formula: Length of scale = (RF x Maximum distance to be represented).
3. What is the scale ratio of full size scales?
a) 1:2
b) 1:3
c) 1:10
d) 1:1
Explanation: As the name suggests it does not make any changes in the scale, no increment or decrement to the figure is done. The dimensions for drawing will be full, same in proportion and size as the actual object dimensions.
4. For a plain scale, RF = \(\frac{1}{4}\) and M.L = 5decimeters, what is LOS?
a) 1.25 cm
b) 12.5 cm
c) 12.5 m
d) 12.5dm
Explanation: LOS = R.F*M.L = \(\frac{1}{4}\)*5 *10 cm (Since 1dm = 10 cm)
= 12.5 cm.
5. Which of the following is not a line segment?
a) Bamboo
b) Ruler
c) Laser beam
d) Pencil
Explanation: A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A ray is a line with one end goes forever in the other direction. Here option Laser beam is ray and others are line segment.
6. The angle bisector bisects the angle exactly __________
a) Perpendicular
b) 60 degree
c) Half
d) Any ratio
Explanation: The bisector of an angle is a ray whose end point is the vertex of the angle and which divides the angle into two equal angles. For the figrure given below BD line is the angular bisector dividing angle ABC in two equal parts.
7. What must you be given to construct an equilateral triangle by compass?
a) One side
b) One angle
c) Two side
d) One angle and one side
Explanation: An equilateral triangle is one which has all three sides of the same length. For the figure given below, with centres P and Q and radius equal to PQ, draw arcs intersecting each other at R. After this draw lines joining R with P and Q. The triangle obtained is the equilateral triangle.
8. Which of the property given below is false regarding a square?
a) A square is a particular case of a rectangle and a rhombus simultaneously
b) A square is a parallelogram with right angles and equal sides
c) The diagonals of a square cut at 90 degree
d) A square is a particular case of a rectangle only
Explanation: Square is a combination of the properties of a rectangle and a rhombus, i.e. with four congruent sides similar to rhombus and with four right angles same as of rectangle.
9. If you are given only a compass and a ruler which angle is not possible to construct?
a) 37.5
b) 33.75
c) 40
d) 120
Explanation: It is not possible to construct an angle that is not a multiple of 15. Angle 40 is not a multiple of 15 while 120 is multiple of 15. Angle 37.5 is formed by angular bisector of angle 75 which is again a multiple of 15. Angle 33.75 is formed by bisecting angle 135 two times, is also a multiple of 15.
10. N number of circles are formed with a common centre, what is that geometry called?
a) Inscribed circle
b) Sphere
c) Circumscribed circle
d) Concentric circle
Explanation: Two or more circles with same centre and different radii, are termed as concentric circle. Inscribed circle is the largest possible circle drawn inside a polygon, each side of the polygon must be tangent to the circle, while a circle containing a polygon in its interior touching all vertices of a plane figure is called circumscribed circle.