WorksheetsPYQ 2 178/2005
Total questions: 100
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
The string of a kite is 150 m long and its makes 30° to the horizontal. Find the height of the kite
a)
75 m
b)
100 m
c)
120 m
d)
85 m
2.
The scale of chords is used to measure the ......
a)
Length
b)
Area
c)
Angle
d)
Diameter
3.
Path of a projectile is in the form of a..
a)
Ellipse
b)
Hyperbola
c)
Semicircle
d)
Parabola
4.
The value of sin 30° + Cos 60° + tan 45° = ...
a)
2/√3
b)
2
c)
1/√3
d)
1
5.
A line is inclined to both HP and VP, the length of elevation and plan is
a)
Same as true length
b)
Greater than the true length
c)
Double the length of true length
d)
Less than the original length
6.
Sin 50° = 0.766 then value of sec 40° is
a)
1.532
b)
1/1.532
c)
1/0.766
d)
0.766
7.
The symbol for indicating the angle of projection recommended by BIS
a)
Two views of frustum of cone lying horizontally
b)
Two views of frustum of cone lying vertically
c)
Two concentric circles and rectangle
d)
None of the above
8.
Sin²30° + cos²30° = .....
a)
1/4
b)
1/2
c)
1
d)
0
9.
Take the odd one out
a)
Octagon
b)
Square
c)
Hexagon
d)
Pentagon
10.
sin 3A =
a)
4 sin A - 3 sin³A
b)
3 sin A + 4 sin³A
c)
3 sin²A - 4 sin A
d)
3 sin A - 4 sin³A
11.
A right circular cone is resting on HP by its base, a parallel cutting plane passing through half of the height of cone. The area of cut section will be equal to:
a)
1/4th area of the base.
b)
1/2th area of the base.
c)
1/3th area of the base.
d)
Equal to the area of the base.
12.
The maximum slant edge length of square pyramid of base edge 6 cm and height 8 cm.
a)
√64
b)
√100
c)
√82
d)
√73
13.
A line AB 60 mm long inclined 60° to HP and parallel to VP, the length of plan view is:
a)
60 mm
b)
30 mm
c)
42.5 mm
d)
52.5 mm
14.
Scalene triangle is a triangle:
a)
Having three equal sides
b)
Two equal sides and right angle
c)
Two equal sides and two angles
d)
Three different sides and angles
15.
'R.F' of a scale used in engineering drawings represents:
a)
Reduced fraction
b)
Recommended fraction
c)
Representative fraction
d)
Remedial fraction
16.
'BIS' abbreviation stands for:
a)
Bureau of Indian Standards
b)
Business Info Systems
c)
Bureau of Investigation
d)
Bureau of Instruments
17.
A point 'P' 3 cm above HP and 2 cm behind VP, which of the following is true:
a)
Elevation above x-y
b)
Plan above x-y
c)
Point in second angle
d)
All statements are true
18.
In which regular polygon sides equal radius of circumscribing circle:
a)
Octagon
b)
Heptagon
c)
Hexagon
d)
Pentagon
19.
Take the odd one out:
a)
Circle
b)
Ellipse
c)
Parabola
d)
Hyperbola
20.
The maximum number of tangents drawn to a circle from a point outside:
a)
2
b)
4
c)
16
d)
infinity
21.
Which of the following statement is not related to ellipse?
a)
Eccentricity < 1
b)
Two directrices
c)
One axis
d)
Two foci
22.
If 2m+n = m + 2n, then m - n equals:
a)
0
b)
2
c)
3
d)
4
23.
The included area of parabola is approximately equal to ______ area of the circumscribing parallelogram:
a)
3/4
b)
2/3
c)
1/2
d)
1/4
24.
25% of 200 + 20% of 150 is:
a)
50
b)
60
c)
70
d)
80
25.
The eccentricity of a parabola is:
a)
e > 1
b)
e < 1
c)
e ≥ 1
d)
e = 1
26.
Successive discounts of 10% and 20% is equivalent to a single discount of:
a)
0.3
b)
0.28
c)
0.26
d)
0.32
27.
Trimmed size of A2 drawing sheet:
a)
420 x 594
b)
520 x 594
c)
594 x 841
d)
494 x 521
28.
The sum of 0.2 + 0.02 + 0.002 + 0.00002:
a)
0.2222
b)
0.2202
c)
0.22202
d)
0.22222
29.
Sphere radius is represented by the symbol in drawing:
a)
OR
b)
SR
c)
R
d)
RSP
30.
The square root of 0.64:
a)
0.6
b)
8
c)
0.8
d)
0.08
31.
Which of the following statement is not related to ellipse?
a)
Eccentricity < 1
b)
Two directrices
c)
One axis
d)
Two foci
32.
If 2m+n = m + 2n, then m - n equals:
a)
0
b)
2
c)
3
d)
4
33.
The included area of parabola is approximately equal to ______ area of the circumscribing parallelogram:
a)
3/4
b)
2/3
c)
1/2
d)
1/4
34.
25% of 200 + 20% of 150 is:
a)
50
b)
60
c)
70
d)
80
35.
The eccentricity of a parabola is:
a)
e > 1
b)
e < 1
c)
e ≥ 1
d)
e = 1
36.
Which of the following is largest?
a)
39/48
b)
28/32
c)
31/40
d)
63/80
37.
Which of the following is enlarged scale?
a)
50:50
b)
1:50
c)
2:50
d)
50:1
38.
If 2x + y = 5 then 4x + 2y is =
a)
10
b)
9
c)
8
d)
5
39.
A regular polygon is a plane figure:
a)
More than four equal sides and angles
b)
More than three equal sides and angles
c)
Four sides and equal angles
d)
All of the above
40.
√(0.16 ) /0.4=
a)
0.1
b)
1
c)
10
d)
None of these
41.
How many methods are used for placing dimensional values in drawings as per “BIS” ?
a)
5
b)
3
c)
2
d)
Infinity
42.
Which of the following is largest?
a)
39/48
b)
28/32
c)
31/40
d)
63/80
43.
Which of the following is enlarged scale?
a)
50:50
b)
1:50
c)
2:50
d)
50:1
44.
If 2x + y = 5 then 4x + 2y is =
a)
10
b)
9
c)
8
d)
5
45.
A regular polygon is a plane figure:
a)
More than four equal sides and angles
b)
More than three equal sides and angles
c)
Four sides and equal angles
d)
All of the above
46.
√(0.16 ) /0.4=
a)
0.1
b)
1
c)
10
d)
None of these
47.
Which of the following is not true “for dimensioning” ?
a)
Projection lines extended slightly
b)
Dimension lines and projection lines are thick lines
c)
Do not mix systems
d)
All above
48.
(25×92)/(82×35) =
a)
2/3
b)
1/6
c)
3/2
d)
1/8
49.
Ogee curves are used to connect:
a)
Two curves
b)
Two circles
c)
Two straight lines
d)
Two triangles
50.
If x + y = 6 and 3x - y = 4, then x - y = ....
a)
4
b)
2
c)
0
d)
-1
51.
Grid reference in drawings is used for:
a)
Beautify the sheet
b)
Drawing symbols
c)
Manufacturers symbols
d)
Locating a particular position
52.
3 √(-8) × 4 √(16) =
a)
4
b)
2
c)
-2
d)
-4
53.
Symbol used for indicating the “origin” in drawings ?
a)
○
b)
⊕
c)
⊗
d)
None
54.
If x/y = 2/3 then y²/x² is =
a)
9/4
b)
2/3
c)
3/2
d)
4/9
55.
The ratio between two adjacent side of the drawing sheet:
a)
1:√5
b)
1:√3
c)
1:√2
d)
1:1
56.
95² = ....
a)
9025
b)
9125
c)
9175
d)
8925
57.
Which conic is known as central conic?
a)
Hyperbola
b)
Parabola
c)
Circle
d)
Ellipse
58.
Which of the following number is a perfect square?
a)
10464
b)
10404
c)
10420
d)
None
59.
A conic which have only one directrix:
a)
Ellipse
b)
Circle
c)
Hyperbola
d)
Parabola
60.
The area of the floor of a room 20 m² that of the larger wall 15 m² and shorter wall 12 m². Find the volume:
a)
45 m³
b)
75 m³
c)
60 m³
d)
40 m³
61.
'Asymptote' is:
a)
Central axis of conies
b)
Area of the conic
c)
Tangents drawn from infinity to a circle
d)
Tangents drawn from infinity to a hyperbola
62.
How many bricks of 20 cm x 10 cm are needed for paving an 8x5 m floor?
a)
25000
b)
2500
c)
2000
d)
20000
63.
Which conic shape is widely used in engineering?
a)
Parabolic
b)
Circle
c)
Hyperbolic
d)
Elliptical
64.
Length of sheet 2 m wide to make open tank 10×4×6 m?
a)
84 m
b)
94 m
c)
104 m
d)
124 m
65.
Auxiliary views are:
a)
Perpendicular views of inclined surface only
b)
Parallel views of inclined surface
c)
Enlarged views of parts
d)
Reduced views of parts
66.
Surface area of cube = 150 m². Volume?
a)
125 m³
b)
120 m³
c)
130 m³
d)
135 m³
67.
Cycloidal curves belong to:
a)
Helix
b)
Spiral
c)
Conics
d)
Roulette
68.
Wire 78 cm bent into isosceles triangle, ratio side:base = 5:3. Base length?
a)
14 cm
b)
16 cm
c)
18 cm
d)
20 cm
69.
Ratio of isometric view to projection:
a)
1:0.816
b)
1:8.16
c)
1:0.876
d)
1:0.916
70.
How many cubes of 3 m edge from cube of 18 m edge?
a)
632
b)
432
c)
316
d)
216
71.
Take the odd one out:
a)
Cavalier projection
b)
Cabinet projection
c)
General oblique
d)
Orthographic projection
72.
Area = 1200 m²; L = 3b. Perimeter?
a)
160 m
b)
200 m
c)
240 m
d)
280 m
73.
Bow compass used for:
a)
Big circle
b)
Very small circle
c)
Curves
d)
Parallel lines
74.
Triangle base 25 cm, height 12 cm. Area?
a)
15 cm²
b)
150 cm²
c)
30 cm²
d)
300 cm²
75.
Chord passing through focus & ⟂ to axis:
a)
Focal tangent
b)
Focal chord
c)
Focal radius
d)
Focal normal
76.
Volume of sphere of diameter 2 m:
a)
4π/3 m³
b)
3/4π m³
c)
6/8π m³
d)
5π m³
77.
Circle inclined 45° to HP and VP, its plan & elevation?
a)
Circle & ellipse
b)
Ellipse & circle
c)
Both ellipses
d)
Both circles
78.
Wheel of 1 m diameter, distance in 200 revolutions?
a)
314 m
b)
628 m
c)
62.8 m
d)
1256 m
79.
Symbol for glass in engineering drawings?
a)
A
b)
B
c)
C
d)
D
80.
Area of isosceles triangle with side 'a' and angle A:
a)
a² cos A
b)
a²/2 cos A
c)
a²/2 sin A
d)
a² sin A
81.
A circular lamina inclined 45° to both HP and VP shows:
a)
Circle & ellipse
b)
Ellipse & circle
c)
Both ellipses
d)
Both circles
82.
Wheel of 1 m diameter moves 200 revolutions. Distance travelled:
a)
314 m
b)
628 m
c)
62.8 m
d)
1256 m
83.
Glass symbol in engineering drawings is:
a)
A
b)
B
c)
C
d)
D
84.
Area of isosceles triangle with equal sides 'a' and angle A:
a)
a² cos A
b)
a²/2 cos A
c)
a²/2 sin A
d)
a² sin A
85.
No. of edges in an octahedron:
a)
8
b)
16
c)
12
d)
24
86.
Which lines cannot be parallel?
a)
Two tangents
b)
Two chords
c)
Two diameters
d)
None
87.
Solid generated by revolving semicircle about its diameter:
a)
Cylinder
b)
Hemisphere
c)
Sphere
d)
Cone
88.
If curved surface = 2× base area in cylinder, height:radius ratio is:
a)
1:2
b)
2:1
c)
1:1.5
d)
1:1
89.
A2 sheet size:
a)
841x1189
b)
210x297
c)
420x594
d)
148x210
90.
If sector radius is doubled, area increases by:
a)
2×
b)
3×
c)
4×
d)
8×
91.
Surface area of hemisphere radius 1 m:
a)
3π
b)
4π
c)
8π
d)
5
92.
Area of hexagon side 4 cm:
a)
24√3
b)
16√3
c)
8√3
d)
4√3
93.
Circle, pentagon, octagon, hexagon have same perimeter. Most area:
a)
Hexagon
b)
Pentagon
c)
Circle
d)
Octagon
94.
If sphere radius doubles, volume increases by:
a)
8×
b)
6×
c)
4×
d)
2×
95.
Volume ratio of cone to cylinder (same h and d):
a)
1:2
b)
1:3
c)
1:4
d)
1:5
96.
% Tin in alloy (20 parts tin + 100 parts copper):
a)
20
b)
15.5
c)
16.66
d)
22.22
97.
Hexagonal prism melted: big to small (edge 4→1, height same). No. of small prisms:
a)
4
b)
8
c)
12
d)
16
98.
Scale of 36° in radians:
a)
π/2
b)
π/5
c)
2π/5
d)
3π/5
99.
Drawing angle symbol recommended by BIS:
a)
Horizontal frustum views
b)
Vertical frustum views
c)
Two circles and rectangle
d)
None
100.
Drawing sheet sides have ratio:
a)
1:√5
b)
1:√3
c)
1:√2
d)
1:1
100 %
