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480+ Engineering Graphics Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Civil Engineering .

251.

A line of length 15 cm at first lied on the vertical plane parallel to horizontal plane and then keeping one of its ends fixed turned 30 degrees with respect to horizontal plane and then turned 50 degrees with respect to vertical plane. What is the length of the line in top view?

A. 9.6 cm
B. 7.5 cm
C. 12.99 cm
D. 11.49 cm
Answer» C. 12.99 cm
Explanation: first imagine the line in vertical plane parallel to horizontal plane as here we are asked to find the top view’s length so even if the line is rotated with respect to the horizontal plane the line length will not change and then rotated with respect to the vertical plane which is calculated as follows 15 x cos (30) =12.99 cm.
252.

A line of length 20 cm at first lied on the profile plane parallel to vertical plane and then keeping one of its ends fixed turned 40 degrees with respect to vertical plane and then turned 20 degrees with respect to profile plane. What is the length of the line in top view?

A. 18.79 cm
B. 6.8 cm
C. 12.85 cm
D. 15.32 cm
Answer» C. 12.85 cm
Explanation: first imagine the line in profile plane parallel to vertical plane as here we are asked to find the top view’s length so even if the line is rotated within the horizontal plane the line length will not change and then rotated with respect to the horizontal plane which is calculated as follows 20 x sin (40) =
253.

A line of length 20 cm at first lied on the profile plane parallel to the vertical plane and then keeping one of its ends fixed turned 40 degrees with respect to vertical plane and then turned 20 degrees with respect to profile plane. What is the length of the line in side view?

A. 18.79 cm
B. 6.8 cm
C. 12.85 cm
D. 15.32 cm
Answer» A. 18.79 cm
Explanation: first imagine the line in profile plane parallel to vertical plane as here we are asked to find the side view’s length so even if the line is rotated within the profile plane the line length will not change and also rotated with respect to the profile plane which is calculated as follows 20 x cos (20) = 18.79 cm.
254.

A line of length 15 cm at first lied on the vertical plane parallel to horizontal plane and then keeping one of its ends fixed turned 35 degrees with respect to horizontal plane and then turned 40 degrees with respect to vertical plane. What is the length of the line in front view?

A. 9.6 cm
B. 11.4 cm
C. 12.28 cm
D. 8.6 cm
Answer» D. 8.6 cm
Explanation: first imagine the line in profile plane parallel to vertical plane as here we are asked to find the side view’s length so even if the line is rotated within the vertical plane the line length will not change and also rotated with respect to the vertical plane which is calculated as follows 15 x sin (35) = 8.6 cm.
255.

A line of length 15 cm at first lied on the vertical plane parallel to horizontal plane and then keeping one of its ends fixed turned 35 degrees with respect to horizontal plane and then turned 40 degrees with respect to vertical plane. What is the length of the line in top view?

A. 9.6 cm
B. 11.4 cm
C. 12.28 cm
D. 8.6 cm
Answer» B. 11.4 cm
Explanation: first imagine the line in profile plane parallel to vertical plane as here we are asked to find the side view’s length so even if the line is rotated within the horizontal plane the line length will not change and also rotated with respect to the horizontal plane which is calculated as follows 15 x cos (40)
256.

A line of length X cm lied on horizontal plane turned 60 degrees with respect to horizontal plane by keeping one of its ends fixed and attained length of Y cm top view. Which of the following statement is true?

A. x =y
B. x=2 * y
C. x= ½ * y
D. x >y
Answer» C. x= ½ * y
Explanation: as cos (60) =0.5. the x would equal to ½ *y. the relation would be like this. x=y happens if we watch from front view. and x will not be greater than y as x is made to turn either it would stay same or become less than it.
257.

There will be no change in length if the line is viewed parallel to plane on which the line is present and also if the line is rotated with respect to perpendicular planes.

A. true
B. false
Answer» A. true
Explanation: there will be no change in length if the line is viewed parallel to plane on which the line is present and also if the line is rotated with respect to perpendicular planes. if the line is rotated with respect to the same plane on which it is located then a new measure is formed.
258.

A line of length 25 cm at first lied on the profile plane parallel to horizontal plane and then keeping one of its ends fixed turned 55 degrees with respect to horizontal plane and then turned 65 degrees with respect to profile plane. What is the length of the line in side view?

A. 22.65 cm
B. 10.56 cm
C. 14.33 cm
D. 20.47 cm
Answer» B. 10.56 cm
Explanation: first imagine the line in profile plane parallel to vertical plane as here we are asked to find the side view’s length so even if the line is rotated within the profile plane the line length will not change and also rotated with respect to the profile plane which is calculated as follows 25 x cos(65)= 10.56 cm.
259.

If a line is in profile plane making an angle of 30 degrees with vertical plane. In which angle the line makes with the horizontal plane?

A. can’t say
B. 90 degrees
C. 0 degrees
D. 60 degrees
Answer» D. 60 degrees
Explanation: if a line placed within the plane the angles made by the line with other perpendicular planes will be complimentary that means their sum will be equal to 90 degrees.90 degrees- 30 degrees = 60 degrees.
260.

The view which gives the actual length of line in profile plane is                  

A. front view
B. top view
C. side view
D. bottom view
Answer» C. side view
Explanation: the view which is watched parallel to the plane gives the actual length of line here as is it profile plane the view will be side view if it comes to vertical plane the view is a front view and if it comes to the horizontal plane the view is top view.
261.

The length of line placed in profile plane from front view is product of actual length and         (angle with horizontal plane).

A. cosine
B. sine
C. tangent
D. secant
Answer» B. sine
Explanation: as the angle is between the line and horizontal plane the height is the length of the line in front view. if angle with vertical is given the length will be product of actual length and cosine of angle between the line and vertical plane.
262.

The length of line placed in profile plane and making an angle of 30 degrees with the vertical is 5 cm from front view. What is the actual length?

A. 5 cm
B. 8.66 cm
C. 10 cm
D. 5.77 cm
Answer» D. 5.77 cm
Explanation: the length of line making an angle with vertical if viewed from front view the length will be the product of length of line cosine of angle given. l * cosine (30) =5 cm, x= 5/ cosine (30)= 5.77 cm.
263.

The length of line placed in profile plane and making an angle of 40 degrees with the horizontal is 10cm from top view. What is the actual length?

A. 7.66 cm
B. 6.4 cm
C. 13.05 cm
D. 15.55 cm
Answer» C. 13.05 cm
Explanation: the length of line making an angle with horizontal if viewed from front view the length will be the product of length of line cosine of angle given. x * cosine (40)
264.

The length of line placed in profile plane and making an angle of 155 degrees with the horizontal is 3 cm from top view. What is the actual length?

A. 3.31 cm
B. 7.09 cm
C. 1.26 cm
D. 2.7 cm
Answer» A. 3.31 cm
Explanation: the line is making 155 degrees is equal to the line making 25 degrees as 180- 155 =25. the length of line from top view will be cosine of actual length. l * cosine (25) =3 cm, l= 3/ cosine (25)= 3.31 cm.
265.

A line of length 20 cm is placed in profile plane making an angle of 65 degrees with the horizontal. What is the length of line front view?

A. 18.12 cm
B. 8.45 cm
C. 20 cm
D. 22.06 cm
Answer» A. 18.12 cm
Explanation: the length of line making an angle with horizontal if viewed from front view the length will be the product of length of line sine of angle given. l= length given x sin (65), l=20 cm x sin (65) = 18.12 cm.
266.

A line of length 20 cm is placed in profile plane making an angle of 65 degrees with the horizontal. What is the length of line side view?

A. 18.12 cm
B. 8.45 cm
C. 20 cm
D. 22.06 cm
Answer» C. 20 cm
Explanation: the view given is side view in this view whatever the angle made by line with any of the other planes except the profile plane it gives the actual length. so here the actual length and side view length become equal.
267.

A line of length 1 m is placed in profile plane making an angle of 180 degrees with the horizontal. What is the length of line top view?

A. 1m
B. 0 m
C. 0.5 m
D. 1.5 m
Answer» A. 1m
Explanation: given the line is making 180 degrees with the horizontal which is half revolution so the length will be constant from top view as in the side view but in front view the length will be zero meter.
268.

A line which is parallel to vertical plane and making an angle of 50 degrees with horizontal has a length of 5 cm from side view. What is its true length?

A. 6.52 cm
B. 7.77 cm
C. 3.2 cm
D. 3.8 cm
Answer» A. 6.52 cm
Explanation: true length of line parallel to vertical plane and making angle with horizontal plane can be of two values either from top view or side view but from front view the length will be given length. as here it is given side view l= 5/sin (50).
269.

A line which is parallel to profile plane and making an angle of 40 degrees with horizontal has a length of 4 cm from top view. What is its true length?

A. 3.06 cm
B. 5.22 cm
C. 6.22 cm
D. 2.57 cm
Answer» B. 5.22 cm
Explanation: true length of line parallel to profile plane and making angle with horizontal plane can be of two values either from top view or front view but from side view the length will be given length. as here it is given top view l= 4/cos (40).
270.

A line which is parallel to vertical plane and making an angle of 50 degrees with horizontal plane has a length of 5 cm from side view. What is its true length?

A. 3.2 cm
B. 3.8 cm
C. 7.77 cm
D. 6.52 cm
Answer» C. 7.77 cm
Explanation: true length of line parallel to vertical plane and making angle with horizontal plane can be of two values either from top view or side view but from front view the length will be given length. as here it is given side view l= 5/cos (50).
271.

A line which is parallel to horizontal plane and making an angle of 75 degrees with vertical has a length of 5 cm from top view. What is its true length?

A. 4.82 cm
B. 1.29 cm
C. 19.31 cm
D. 5 cm
Answer» D. 5 cm
Explanation: true length of line parallel to vertical plane and making angle with horizontal can be of two values either from top view or side view but from front view the length will be given length. as here it is given top view the length given is true length.
272.

A line which is parallel to horizontal plane is made to turn to an angle of 35 degrees with vertical and then turned to an angle of 45 degrees with horizontal plane and now the line has a length of 9 cm from front view. What is its true length?

A. 7.37 cm
B. 5.16 cm
C. 10.9 cm
D. 15.69 cm
Answer» C. 10.9 cm
Explanation: true length of a line parallel to
273.

A line parallel to profile plane is held at 30 degrees with horizontal plane and front view gives 2 cm of length. What is the true length of line?

A. 1 cm
B. 1.73 cm
C. 2.3 cm
D. 4 cm
Answer» D. 4 cm
Explanation: true length of line parallel to profile plane and making angle with horizontal can be of two values either from top view or front view but from side view the length will be given length. as here it is given front view l= 2/sin (30).
274.

A line parallel to vertical plane is held at 35 degrees with horizontal plane and side view gives 3 cm of length. What is the true length of line?

A. 5.2 cm
B. 3.66 cm
C. 2.45 cm
D. 1.72 cm
Answer» A. 5.2 cm
Explanation: true length of line parallel to vertical plane and making angle with horizontal can be of two values either from top view or side view but from front view the length will be given length. as here it is given side view l= 3/sin (35).
275.

A line parallel to profile plane is held at 25 degrees with vertical plane and side view gives 2 cm of length. What is the true length of line?

A. 4.7 cm
B. 2 cm
C. 2.2 cm
D. 0.84 cm
Answer» B. 2 cm
Explanation: true length of line parallel to profile plane and making angle with vertical can be of two values either from top view or front view but from side view the length will be given length. as here it is given side view the length will be true length.
276.

A line parallel to profile plane is held at 85 degrees with vertical plane and top view gives 20 cm of length. What is the true length of line?

A. 1.7 cm
B. 229 cm
C. 20.07 cm
D. 19.9 cm
Answer» C. 20.07 cm
Explanation: true length of line parallel to profile plane and making angle with vertical plane can be of two values either from top view or front view but from side view the length will be given length. as here it is given top view l= 20/cos(5).
277.

When a line is inclined to a plane, produced if necessary. The point in which the line meets the plane is called its                  

A. meeting point
B. locus
C. complete end
D. trace
Answer» D. trace
Explanation: when a line is inclined to a plane, it will meet that plane, produced if necessary. the point in which the line or line produced meets the plane is called its trace. even for planes if extended meet the reference planes at its traces.
278.

If a line is parallel to both the horizontal plane and vertical plane. It will have two traces.

A. true
B. false
Answer» B. false
Explanation: the given statement is false if a line is parallel to both horizontal plane and vertical plane the line will not meet those planes so the line will not have traces on those planes but it will have a trace on profile plane.
279.

If a line meets horizontal plane the point of intersection is called                            

A. horizontal trace
B. regular trace
C. parallel trace
D. general trace
Answer» A. horizontal trace
Explanation: the point of intersection of a line with horizontal plane is called horizontal trace, usually denoted by h.t. as this the point of intersection of a line with vertical plane is called vertical trace and denoted by v.t.
280.

A line is perpendicular to horizontal plane. Its horizontal trace coincides with its             view.

A. front
B. top
C. side
D. isometric
Answer» B. top
Explanation: if a line is perpendicular to the horizontal plane then its horizontal trace coincides with its top view which is a point. it has no vertical trace because the line is parallel to vertical plane the line will not touch the vertical plane.
281.

A line is perpendicular to vertical plane. Its vertical trace coincides with its            view.

A. front
B. top
C. side
D. isometric
Answer» A. front
Explanation: if a line is perpendicular to the vertical plane then its vertical trace coincides with its front view which is a point. it has no horizontal trace because the line is parallel to horizontal plane the line will not touch the horizontal plane.
282.

If a line has one of its ends in the horizontal plane. Its horizontal trace coincides with the                    

A. front
B. top
C. side
D. isometric
Answer» B. top
Explanation: as the line cuts the horizontal plane the projection of that line on horizontal plane coincides from top view and so the horizontal trace which is the point formed by cutting the line with horizontal plane also coincides with the corresponding projection end.
283.

If a line has one of its ends in the vertical plane. Its vertical trace coincides with the

A. front
B. top
C. side
D. isometric
Answer» A. front
Explanation: as the line cuts the vertical plane the projection of that line on vertical plane coincides from front view and so the vertical trace which is the point formed by cutting the line with vertical plane also coincides with the corresponding projection end.
284.

If a line parallel to one plane then the line will not have trace on that plane.

A. true
B. false
Answer» A. true
Explanation: trace is that the point of intersection of line with any plane then the point of intersection is called the trace of the line with respect to given plane. so a line which is going to intersect will not be parallel to it.
285.

A line AB has its one say B end in horizontal plane and vertical plane then horizontal trace and vertical trace will coincide in                     line.

A. xy reference
B. vertical reference
C. above xy reference
D. below xy reference
Answer» A. xy reference
Explanation: vertical reference will be line formed by profile plane and vertical plane. and if trace is above or below the xy reference line it would meet vertical or horizontal plane at only once. so if single end is going to meet both planes it would definitely be on xy reference line.
286.

A line AB is parallel to vertical plane and inclined to horizontal plane and held 5 cm apart from vertical plane. The expected trace will be placed at                      

A. above 5 cm from xy reference, on vertical plane
B. below 5 cm from xy reference, on horizontal plane
C. on the xy reference
D. above 5 cm from vertical reference, on vertical plane
Answer» B. below 5 cm from xy reference, on horizontal plane
Explanation: as the given line is parallel to
287.

A line AB is placed in such a way that the distance from A and B to vertical plane are 5 and 10 cm and distances from A and B to horizontal plane are 4 and 8 cm each. The traces would present                              

A. one on above and other below reference line
B. below the reference line
C. on xy reference line
D. above the reference line
Answer» C. on xy reference line
Explanation: as the corresponding distances from vertical plane and horizontal plane are in same ratio we can say the line may act as symmetry for both the vertical and horizontal plane so the traces would fall on xy reference line.
288.

A line AB is placed in such a way that the distance from A and B to vertical plane are 5 and 10 cm and distances from A and B to horizontal plane are 5 and 10 cm each. The traces would present                              

A. one on above and other below reference line
B. below the reference line
C. on xy reference line
D. above the reference line
Answer» C. on xy reference line
Explanation: as the corresponding distances
289.

A plane is held parallel to horizontal plane in which view we can watch drawing on that plane?

A. top view
B. front view
C. back view
D. side view
Answer» A. top view
Explanation: if a plane is parallel to one of the reference plane the projection parallel to plane gives the true shape and size as here plane is parallel to horizontal plane the actual shape is watched from a top view.
290.

A circle is placed at 20 degrees with vertical the view from top view will be

A. line
B. circle
C. ellipse
D. oval
Answer» C. ellipse
Explanation: if a circle is parallel to one of the reference plane the projection parallel to plane gives the true shape and size but here plane is inclined so circle transformed to ellipse. if observer also inclined along with plane the circle will remain circle only.
291.

A square is held 30 degrees with horizontal plane and turned 30 degrees with respect to vertical plane keeping earlier condition constant. The top view will be

A. line
B. square
C. rectangle
D. parallelogram
Answer» C. rectangle
Explanation: if a square is parallel to one of the reference plane the projection parallel to plane gives the true shape and size as here plane is inclined so square transformed to rectangle and further it turned parallel to observer so no change in shape and size.
292.

A square is held 30 degrees with horizontal plane and turned 30 degrees with respect to vertical plane keeping earlier condition constant. The front view will be

A. line
B. square
C. rectangle
D. parallelogram
Answer» D. parallelogram
Explanation: if a square is parallel to one of the reference plane the projection parallel to plane gives the true shape and size as here plane is inclined so square transformed to rectangle and further it turned inclined in other way which gives parallelogram shape for square.
293.

A triangle is placed perpendicular to both the reference planes (horizontal and vertical plane) which of the following statement is true.

A. front view-line, top view- triangle
B. front view-triangle, top view- line
C. front view –line, top view-line
D. front view-triangle, side view- line
Answer» C. front view –line, top view-line
Explanation: the plane which is perpendicular to both the reference planes (horizontal and vertical plane) is called profile plane or picture plane. the planes parallel to these have a top view and front view as straight line.
294.

When a plane is perpendicular to both the reference planes, its traces are perpendicular to                              

A. xy reference line
B. lines on horizontal plane
C. lines on vertical plane
D. lines on given plane
Answer» A. xy reference line
Explanation: when a plane is perpendicular to both the reference planes, its traces are perpendicular to xy reference line and intersect at xy reference line even when the planes are inclined with both reference planes the traces intersect at xy line.
295.

A plane perpendicular to vertical plane and inclined to horizontal plane then the vertical trace of that plane will be                            

A. parallel to horizontal plane
B. perpendicular to horizontal plane
C. parallel to xy reference line
D. inclined to horizontal plane
Answer» D. inclined to horizontal plane
Explanation: when a plane is perpendicular to one of the reference planes and inclined to the other, its inclination is shown by the angle which its projection on the plane to which it is perpendicular, makes with xy. its projection on the plane to which it is inclined, is smaller than the plane itself.
296.

A plane parallel to vertical plane then which of the following is false statement.

A. vertical trace will not present
B. horizontal trace is parallel to xy
C. front view give true shape and size
D. top view give true shape and size
Answer» D. top view give true shape and size
Explanation: when a plane is parallel to a reference plane, it has no trace on that plane. its trace on the other reference plane, to which the earlier reference plane is perpendicular, is parallel to xy reference line.
297.

When a plane is perpendicular to a reference plane, its projection on that plane shows its true shape and size.

A. true
B. false
Answer» B. false
Explanation: when a plane is perpendicular to a reference plane, its projection on that plane is a straight line. when a plane is parallel to a reference plane, its projection on that plane shows its true shape and size.
298.

The traces of plane are not intersecting at xy reference line then the plane is

A. inclined to h.p and perpendicular to v.p
B. parallel to h.p and perpendicular to v.p
C. perpendicular to both reference planes
D. inclined to v.p and perpendicular to h.p
Answer» B. parallel to h.p and perpendicular to v.p
Explanation: when a plane has two traces, they, produced if necessary, intersect in xy except when both are parallel to xy reference line as in case of some oblique planes. and in those some specific are plane parallel to one reference and perpendicular to other.
299.

An equilateral triangle of side 10 cm is held parallel to horizontal plane and base is parallel to xy reference line. The length of line from front view will be            

A. 8.66 cm
B. 10 cm
C. 0 cm
D. 12.47 cm
Answer» B. 10 cm
Explanation: just by visualizing we can get picture and then as the base is parallel to xy reference plane the side view and front view will be a line and front view gives line of
300.

A square of side 10 cm is held parallel to vertical plane and one diagonal is perpendicular to xy reference plane. The length of line in top view will be                  

A. 10 cm
B. 14.14 cm
C. 7.07 cm
D. 0 cm
Answer» B. 14.14 cm
Explanation: given the square is parallel to vertical plane ad diagonal is perpendicular to xy reference plane the top view and side gives a line and both of same length which is equal to diagonal length l= 2 x √(52+52 ) = 14.14 cm.

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