# Multiple choice question for engineering

## Set 1

1. Given are the steps to draw a perpendicular to a line at a point within the line, when the point is near the centre of line.

Arrange the steps. Let AB be the line and P be the point in it

i. P as centre, take convenient radius R1 and draw arcs on the two sides of P on the line at C, D.

ii. Join E and P

iii. The line EP is perpendicular to AB

iv. Then from C, D as centre, take R2 radius (greater than R1), draw arcs which cut at E.

a) i, iv, ii, iii

b) iii, ii, iv, i

c) iv, iii, i, ii

d) ii, i, iv, iii

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2. Given are the steps to draw a perpendicular to a line at a point within the line, when the point is near an end of the line.

Arrange the steps. Let AB be the line and P be the point in it.

i. Join the D and P.

ii. With any point O draw an arc (more than semicircle) with radius of OP, cuts AB at C.

iii. Join the C and O and extend till it cuts the large arc at D.

iv. DP gives the perpendicular to AB.

a) i, iv, ii, iii

b) iii, ii, iv, i

c) iv, iii, i, ii

d) ii, iii, i, iv

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3. Given are the steps to draw a perpendicular to a line at a point within the line, when the point is near the centre of line.

Arrange the steps. Let AB be the line and P be the point in it

i. Join F and P which is perpendicular to AB.

ii. Now C as centre take same radius and cut the arc at D and again D as centre with same radius cut the arc further at E.

iii. With centre as P take any radius and draw an arc (more than semicircle) cuts AB at C.

iv. Now D, E as centre take radius (more than half of DE) draw arcs which cut at F.

a) i, iv, ii, iii

b) iii, ii, iv, i

c) iv, iii, i, ii

d) ii, i, iv, iii

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4. Given are the steps to draw a perpendicular to a line from a point outside the line, when the point is near the centre of line.

Arrange the steps. Let AB be the line and P be the point outside the line

i. The line EP is perpendicular to AB

ii. From P take convenient radius and draw arcs which cut AB at two places, say C, D.

iii. Join E and P.

iv. Now from centers C, D draw arc with radius (more than half of CD), which cut each other at E.

a) i, iv, ii, iii

b) iii, ii, iv, i

c) iv, iii, i, ii

d) ii, iv, iii, i

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5. Given are the steps to draw a perpendicular to a line from a point outside the line, when the point is near an end of the line.

Arrange the steps. Let AB be the line and P be the point outside the line

i. The line ED is perpendicular to AB

ii. Now take C as centre and CP as radius cut the previous arc at two points say D, E.

iii. Join E and D.

iv. Take A as center and radius AP draw an arc (semicircle), which cuts AB or extended AB at C.

a) i, iv, ii, iii

b) iii, ii, iv, i

c) iv, ii, i, iii

d) ii, iv, iii, i

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6. Given are the steps to draw a perpendicular to a line from a point outside the line, when the point is nearer the centre of line.

Arrange the steps. Let AB be the line and P be the point outside the line

i. Take P as centre and take some convenient radius draw arcs which cut AB at C, D.

ii. Join E, F and extend it, which is perpendicular to AB.

iii. From C, D with radius R1 (more than half of CD), draw arcs which cut each other at E.

iv. Again from C, D with radius R2 (more than R1), draw arcs which cut each other at F.

a) i, iii, iv, ii

b) iii, ii, iv, i

c) iv, iii, i, ii

d) ii, iv, iii, i

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7. Given are the steps to draw a parallel line to given line AB at given point P.

Arrange the steps.

i. Take P as centre draw a semicircle which cuts AB at C with convenient radius.

ii. From C with radius of PD draw an arc with cuts the semicircle at E.

iii. Join E and P which gives parallel line to AB.

iv. From C with same radius cut the AB at D.

a) i, iv, ii, iii

b) iii, ii, iv, i

c) iv, iii, i, ii

d) ii, iv, iii, i

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8. Given are the steps to draw a parallel line to given line AB at a distance R.

Arrange the steps.

i. EF is the required parallel line.

ii. From C, D with radius R, draw arcs on the same side of AB.

iii. Take two points say C, D on AB as far as possible.

iv. Draw a line EF which touches both the arc (tangents) at E, F.

a) i, iv, ii, iii

b) iii, ii, iv, i

c) iv, iii, i, ii

d) ii, iv, iii, i

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9. Perpendiculars can’t be drawn using _____________

a) T- Square

b) Set-squares

c) Pro- circle

d) Protractor

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10. The length through perpendicular gives the shortest length from a point to the line.

a) True

b) False

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## Set 2

1. For a Double-threaded screw, Pitch of the helix = lead = ______ the pitch of the screw.

a) Four times

b) Thrice

c) Twice

d) One time

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2. When a double –threaded screw is made to turn 120 degrees about axis. How much the screw advances through axis?

a) ^{1}⁄_{3} of pitch of helix

b) ^{1}⁄_{3} of pitch of screw

c) ^{1}⁄_{4} of pitch of helix

d) The advancement is equal to pitch of helix.

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^{1}⁄

_{3}part of 360 (complete rotation). So the lead advances to

^{1}⁄

_{3}of pitch of helix and

^{2}⁄

_{3}of pitch of screw.

3. A triple-threaded screw advances ________ times of its pitch of screw for one complete rotation.

a) 6

b) 2

c) 3

d) 4

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4. A multiple-threaded screw is designed in such a way for one complete rotation of screw advances to a distance of 5 times the pitch of the screw. If need to make the lead only up to 3 times of the pitch of screw then how much angle should we rotate the screw?

a) 214 degrees

b) 216 degrees

c) 120 degrees

d) 72 degrees

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5. A double –threaded screw has pitch of screw 2 mm. How much the screw advances if it is made 3 revolutions?

a) 5

b) 6

c) 12

d) 10

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6. A triple –threaded screw is made 4 revolutions. What is the pitch of screw if the screw advances to 6 cm?

a) 24 mm

b) 5 mm

c) 1 cm

d) 5 cm

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7. A double–threaded screw is made _____ revolutions. The pitch of screw is 6 mm and the screw advanced to 6 cm.

a) 6

b) 5

c) 7

d) 4

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8. A multiple-threaded screw has pitch of screw 4mm and if the screw is made to 5 revolutions the screw will advances to 40 mm. What type of screw is it?

a) Single-threaded screw

b) Double threaded screw

c) Triple-threaded screw

d) Four –threaded screw

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9. For a triple threaded screw the pitch of screw is 5 mm. The lead (pitch of helix) is______

a) 15

b) 8

c) 10

d) 30

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10. The double-threaded screw is made to rotate one complete rotation the screw advanced to 10 mm. Lead (pitch of helix) is given as 10 mm. The pitch of screw is ____

a) 10 mm

b) 5 mm

c) 1 mm

d) 12 mm

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11. The double- threaded screw is made to rotate 2 revolutions for this the screw advances to 40 mm. What is the pitch of helix?

a) 40 mm

b) 10 mm

c) 20 mm

d) 22 mm

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12. The triple- threaded screw is made to rotate 10 revolutions for this the screw advances to 90 mm. What is the pitch of screw?

a) 4.5 mm

b) 9 mm

c) 1 mm

d) 3 mm

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## Set 3

1. Which of the following represents an Archemedian spiral?

a) Tornado

b) Cyclone

c) Mosquito coil

d) Fibonacci series

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2. Steps are given to draw normal and tangent to an archemedian curve. Arrange the steps, if O is the center of curve and N is point on it.

i. Through N, draw a line ST perpendicular to NM. ST is the tangent to the spiral.

ii. Draw a line OM equal in length to the constant of the curve and perpendicular to NO.

iii. Draw the line NM which is the normal to the spiral.

iv. Draw a line passing through the N and O which is radius vector.

a) ii, iv, i, iii

b) i, iv, iii, ii

c) iv, ii, iii, i

d) iii, i, iv, ii

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3. Which of the following does not represents an Archemedian spiral?

a) Coils in heater

b) Tendrils

c) Spring

d) Cyclone

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4. Match the following. Given points are about spirals.

1. | The point about which the line rotates is called ___________ | i. | Radius vector |

2. | The line joining any point on the curve with the pole is called ________ | ii. | Convolution |

3. | Each complete revolution of the spiral is termed as ___________ | iii. | Vectorial angle |

4. | Angle between radius vector and the line in its initial position is called _____ | iv. | Pole |

a) 1, i; 2, ii; 3, iii; 4, iv

b) 1, ii; 2, iii; 3, i; 4, iv

c) 1, iv; 2, i; 3, ii; 4, iii

d) 1, ii; 2, iv; 3, iii; 4, i

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5. Match the following.

1. | Tendrils | i. | Helix |

2. | Spring | ii. | Archemedian spiral |

3. | Mosquito coil | iii. | Fibonacci spiral |

4. | Cyclone | iv. | Lituus spiral |

a) 1, i; 2, ii; 3, iii; 4, iv

b) 1, ii; 2, iii; 3, i; 4, iv

c) 1, ii; 2, iv; 3, iii; 4, i

d) 1, iv; 2, i; 3, ii; 4, iii

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6. Match the following, given are the equations of different types of spirals.

1. | Lituus spiral | i. | r = a + b. Ѳ |

2. | Logarithmic spiral | ii. | r=Ɵ |

3. | Archemedian spiral | iii | r= a e^{bӨ} |

4. | Fermat’s spiral | iv. | r=Ɵ^{1/2} |

a) 1, i; 2, ii; 3, iii; 4, iv

b) 1, ii; 2, iii; 3, i; 4, iv

c) 1, ii; 2, iv; 3, iii; 4, i

d) 1, iv; 2, i; 3, ii; 4, iii

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7. Logarithmic spiral is also called Equiangular spiral.

a) True

b) False

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8. In logarithmic Spiral the radius vectors are in arithmetical progression.

a) True

b) False

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9. The mosquito coil we generally see in house hold purposes and heating coils in electrical heater etc are generally which spiral.

a) Logarithmic spiral

b) Equiangular spiral

c) Fibonacci spiral

d) Archemedian spiral

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## Set 4

1. In perspective projection, the eye is assumed to be situated at a _______ position relative to the object. The ______ is placed between ____ and the _________

a) definite, picture plane, eye, object

b) indefinite, object, eye, picture plane

c) indefinite, picture plane, eye, object

d) indefinite, object, picture plane, eye

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2. In perspective projection the projectors are _________ to each other and ________ to picture plane.

a) parallel, perpendicular

b) not parallel, inclined

c) parallel, inclined

d) not parallel, perpendicular

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3. In perspective projection, the horizontal plane in which the object is assumed to be situated is called ______________

a) horizontal plane

b) picture plane

c) ground plane

d) auxiliary ground plane

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4. In perspective projection, the point where the eye of the observer is located while viewing the object is called ____________

a) ground point

b) horizon point

c) center of vision

d) station point

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5. In perspective projection, the point in which the perpendicular axis pierces the picture plane and lies on horizon line is called _____________

a) ground line

b) horizon line

c) center of vision

d) station line

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6. In perspective projection, the imaginary plane is at the level of the eye above the ground plane and at right angles to the picture plane is called ______________

a) horizontal plane

b) picture plane

c) ground plane

d) auxiliary ground plane

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7. In perspective projection, the imaginary vertical plane which passes through the station point and the center of vision. It contains the perpendicular axis. It is perpendicular to both the picture plane and ground plane. It is called ____________

a) central plane

b) picture plane

c) ground plane

d) auxiliary ground plane

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8. In perspective projection, the line drawn through the station point and perpendicular to the picture plane is sometimes called the line of sight or axis of vision is called _________

a) ground line

b) horizon line

c) perpendicular line

d) station line

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9. In perspective projection, the horizontal plane placed above the horizon plane on which the top view of the object and of the perspective elements is projected is called ____________

a) horizontal plane

b) picture plane

c) ground plane

d) auxiliary ground plane

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10. In which method, points on the perspective are obtained by projecting the top view and either the front view or the side view of visual rays?

a) Watching method

b) Vanishing point method

c) Visual-ray method

d) Perspective method

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11. In addition to the top view of the visual rays, use of vanishing points of straight lines is made in this method. What is this method?

a) Watching method

b) Vanishing point method

c) Visual-ray method

d) Perspective method

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12. In perspective projection, the line in which the horizon plane intersects the picture plane is called ______________ and it is parallel to ground line.

a) ground line

b) horizon line

c) center of vision

d) station line

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## Set 5

1. Which method of development is employed in case of prisms?

a) Parallel-line development

b) Approximation method

c) Triangulation development

d) Radial-line development

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2. Which method of development is employed in case of cones?

a) Parallel-line development

b) Approximation method

c) Triangulation development

d) Radial-line development

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3. Which method of development is employed in case of double curved objects?

a) Parallel-line development

b) Approximation method

c) Triangulation development

d) Radial-line development

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4. Which method is used to develop transition pieces?

a) Parallel-line development

b) Approximation method

c) Triangulation development

d) Radial-line development

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5. Which method of development is employed in case of sphere, ellipsoid?

a) Parallel-line development

b) Approximation method

c) Triangulation development

d) Radial-line development

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6. Developments of the lateral surface of a prism consist of the same number of __________ in contact as the number of the sides of base of the prism.

a) squares

b) rectangles

c) triangles

d) parallelograms

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7. The development of the lateral surface of a cylinder is a rectangle having one side equal to the _____________ of its base-circle and the other equal to its length.

a) circumference

b) area

c) diameter

d) radius

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8. The development of lateral surface of a pyramid consists of a number of equal ____________triangle in contact.

a) equilateral

b) isosceles

c) scalene

d) right angled

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9. The development of the curved surface of a cone is a __________ of a __________

a) sector, circle

b) segment, circle

c) segment, ellipse

d) arc, parabola

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10. The development of the surface of a cube consists of ____ equal squares, the length of the side of the squares being equal to the length of the edge of the cube.

a) 4

b) 6

c) 12

d) 8

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11. A zone is portion of the sphere enclosed between two planes parallel to the axis.

a) True

b) False

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12. Which method of development is employed in case of pyramids?

a) Parallel-line development

b) Approximation method

c) Triangulation development

d) Radial-line development