MCQOPTIONS
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MCQOPTIONS
This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
What is the total number of propositions in the elements? |
| A. | \[465\] |
| B. | \[460\] |
| C. | \[13\] |
| D. | \[55\] |
| Answer» B. \[460\] | |
| 2. |
If a point \[P\] lies in between \[A\] and\[B\], which of the following is true? |
| A. | \[A=\frac{1}{2}AB\] |
| B. | \[BP=\frac{1}{2}AB\] |
| C. | \[AP+PB=AB\] |
| D. | \[AP=BP\] |
| Answer» D. \[AP=BP\] | |
| 3. |
It is known that if\[x+y=10,\,\,x+y+z=10+z\]. Which Euclid's axiom illustrates this statement? |
| A. | First Axiom |
| B. | Second Axiom |
| C. | Third Axiom |
| D. | Fourth Axiom |
| Answer» C. Third Axiom | |
| 4. |
If the point \[F\] lies in between \[M\] and \[N\] and \[C\] is the midpoint of \[MF\] which of the following is true? |
| A. | \[MC+FN=MN\] |
| B. | \[MF+CF=MN\] |
| C. | \[MC+FN=MN\] |
| D. | \[CF+CN=MN\] |
| Answer» E. | |
| 5. |
Euclid divided his famous treatise ?The Elements? into how many chapters? |
| A. | \[13\] chapters |
| B. | \[12\] chapters |
| C. | \[11\] chapters |
| D. | \[9\] chapters |
| Answer» B. \[12\] chapters | |
| 6. |
In which of the following forms did Euclid state that if equals are subtracted from equals, the remainders are equals? |
| A. | An axiom |
| B. | A postulate |
| C. | A definition |
| D. | A proof |
| Answer» E. | |
| 7. |
If a point \[C\] lies in between \[A\] and\[B\], what is \[AC+BC\] equal to? |
| A. | \[AB\] |
| B. | \[\frac{1}{2}AB\] |
| C. | \[2\,\,AB\] |
| D. | \[4\,\,AB\] |
| Answer» B. \[\frac{1}{2}AB\] | |
| 8. |
In which of the following forms did Euclid state that all right angles are equal to each other? |
| A. | An axiom |
| B. | A definition |
| C. | A postulate |
| D. | A proof |
| Answer» D. A proof | |
| 9. |
How many dimensions does a solid has? |
| A. | \[1\] |
| B. | \[2\] |
| C. | \[3\] |
| D. | \[0\] |
| Answer» D. \[0\] | |
| 10. |
Which of the following are the three steps from solids to points? |
| A. | Solids - Surfaces - Lines - Points |
| B. | Solids - Lines - Surfaces - Points |
| C. | Lines - Points - Surfaces - Solids |
| D. | Lines - Surfaces - Points - Solids |
| Answer» B. Solids - Lines - Surfaces - Points | |
| 11. |
What is formed when two planes intersect each other? |
| A. | Plane |
| B. | Point |
| C. | Straight line |
| D. | Angle |
| Answer» D. Angle | |
| 12. |
Given four points such that no three of them are collinear, what is the number of lines that can be drawn through them? |
| A. | \[2\] lines |
| B. | \[4\] lines |
| C. | \[6\] lines |
| D. | \[8\] lines |
| Answer» D. \[8\] lines | |
| 13. |
What is the number of line segments determined by three given non-collinear points? |
| A. | Two |
| B. | Three |
| C. | Infinitely many |
| D. | Four |
| Answer» C. Infinitely many | |
| 14. |
To which of the following countries did Euclid belong? |
| A. | Babylonia |
| B. | Egypt |
| C. | Greece |
| D. | India |
| Answer» D. India | |
| 15. |
What is the number of line segments determined by three collinear points? |
| A. | Two |
| B. | Three |
| C. | Only one |
| D. | Four |
| Answer» D. Four | |
| 16. |
If \[l,\,\,m\] and \[n\] are three distinct lines such that \[l||m\] and\[l||n\], which of the following holds good? |
| A. | \[m\bot n\] |
| B. | \[m||n\] |
| C. | \[m=n\] |
| D. | \[l\bot n\] |
| Answer» C. \[m=n\] | |
| 17. |
What is the shape of the side faces of a pyramid? |
| A. | Triangles |
| B. | Squares |
| C. | Polygons |
| D. | Trapeziums |
| Answer» B. Squares | |
| 18. |
How many lines can pass through a given point? |
| A. | Two |
| B. | None |
| C. | Only one |
| D. | Infinitely many |
| Answer» E. | |
| 19. |
Which of the following is the shape of the base of a solid pyramid? |
| A. | A triangle |
| B. | A square |
| C. | A rectangle |
| D. | Any polygon |
| Answer» E. | |
| 20. |
How many interwoven isosceles triangles are there in Sriyantra (in the Atharvaveda)? |
| A. | Seven |
| B. | Eight |
| C. | Nine |
| D. | Eleven |
| Answer» D. Eleven | |
| 21. |
In Indus Valley Civilisation (about \[300\] B.C.), what were the dimensions of the bricks used for construction work? |
| A. | \[1:3:4\] |
| B. | \[4:2:1\] |
| C. | \[4:4:1\] |
| D. | \[4:3:2\] |
| Answer» C. \[4:4:1\] | |
| 22. |
Identify the incorrect statement, |
| A. | Only one line can pass through a single point. |
| B. | Only one line can pass through two distinct points. |
| C. | A terminated line can be produced indefinitely on both the sides. |
| D. | If two circles are equal, their radii are equal. |
| Answer» B. Only one line can pass through two distinct points. | |
| 23. |
Which of the following is stated in the form 'Lines are parallel if they do not intersect'? |
| A. | An axiom |
| B. | A definition |
| C. | A postulate |
| D. | A proof |
| Answer» C. A postulate | |
| 24. |
In ancient India, what are the shapes of altars used for house hold rituals? |
| A. | Squares and circles |
| B. | Triangles and rectangles |
| C. | Trapeziums and pyramids |
| D. | Rectangles and squares |
| Answer» B. Triangles and rectangles | |
| 25. |
What are the boundaries of surfaces? |
| A. | Surfaces |
| B. | Angles |
| C. | Lines |
| D. | Points |
| Answer» D. Points | |
| 26. |
If \[C\] is the midpoint of the segment \[AB,\,\,P\] and \[Q\] are midpoints of the segments \[AC\] and \[BC\] respectively, find\[BQ\]. |
| A. | \[\frac{1}{2}AB\] |
| B. | \[\frac{1}{3}AB\] |
| C. | \[\frac{1}{4}AB\] |
| D. | \[\frac{1}{5}AB\] |
| Answer» D. \[\frac{1}{5}AB\] | |
| 27. |
In the figure given, if \[A\] and \[B\] are the centres of the two intersecting circles, what type of a triangle is\[\Delta ABC\]? |
| A. | A scalene triangle |
| B. | A right triangle |
| C. | An isosceles triangle |
| D. | An equilateral triangle |
| Answer» E. | |
| 28. |
According to Euclid's axioms, the ____ is greater than the part. |
| A. | half |
| B. | large |
| C. | whole |
| D. | None of these |
| Answer» D. None of these | |
| 29. |
Things which are equal to the same thing are ____ to one another. |
| A. | perpendicular |
| B. | not equal |
| C. | equal |
| D. | parallel |
| Answer» D. parallel | |
| 30. |
Two distinct intersecting lines cannot be parallel to the ____ line. |
| A. | Same |
| B. | Different |
| C. | Both [a] and [b] |
| D. | None of these |
| Answer» B. Different | |
| 31. |
If C be the mid-point of a line segment AB, then AC = BC = (_) AB. |
| A. | 3 |
| B. | \[\frac{1}{2}\] |
| C. | 2 |
| D. | \[\frac{1}{4}\] |
| Answer» C. 2 | |
| 32. |
A solid has____. |
| A. | 0 dimension |
| B. | 1 dimension |
| C. | 2 dimensions |
| D. | 3 dimensions |
| Answer» E. | |
| 33. |
Match the following. Column-I Column-II p. All right angles are equal to one another (i) Postulate-2 Q. A terminated line can be produced indefinitely. (ii) Postulate-3 R. A circle can be drawn with any centre and any radius. (iii) Postulate-1 S. A straight line may be drawn from any one point to any other point (iv) Postulate-4 |
| A. | \[p\to (iv);Q\to (iii);R\to (i)S\to (ii)\] |
| B. | \[p\to (ii);Q\to (iv);R\to (i)S\to (iii)\] |
| C. | \[p\to (iv);Q\to (i);R\to (ii)S\to (iii)\] |
| D. | \[p\to (iii);Q\to (i);R\to (ii)S\to (iv)\] |
| Answer» D. \[p\to (iii);Q\to (i);R\to (ii)S\to (iv)\] | |
| 34. |
State T for true and 'F' for false. (i) There are infinite points on a line' is an Euclidean postulate. (ii) Only one plane passes through three non- collinear points. (iii) Boundaries of solids are surfaces. |
| A. | (i) (ii) (iii) F F F |
| B. | (i) (ii) (iii) T T F |
| C. | (i) (ii) (iii) T F T |
| D. | (i) (ii) (iii) F T T |
| Answer» E. | |
| 35. |
Fill in the blanks. (i) Two lines in a plane not having any point common are called P lines. (ii) The edges of a surface are Q. (iii) Two distinct planes can intersect at R points. (iv) S planes can pass through two distinct points. |
| A. | P Q R S Parallel lines infinite infinite |
| B. | P Q R S Parallel planes one one |
| C. | P Q R S Perpendicular lines one zero |
| D. | P Q R S Perpendicular planes infinite infinite |
| Answer» B. P Q R S Parallel planes one one | |
| 36. |
Which of the following needs a proof? |
| A. | an axiom |
| B. | a definition |
| C. | a postulate |
| D. | a theorem |
| Answer» E. | |
| 37. |
Euclid's Postulate 1 is |
| A. | A straight line may be drawn from any point to any other point. |
| B. | A terminated line can be produced indefinitely. |
| C. | All right angles are equal to one another. |
| D. | None of these |
| Answer» B. A terminated line can be produced indefinitely. | |
| 38. |
In the given figure PR = QS then which of the following axioms shows that PQ= RS? |
| A. | The whole is greater than the part. |
| B. | If equals are subtracted from equals, the remainders are equal. |
| C. | Things which are equal to the same things are equal to one another. |
| D. | None of these |
| Answer» C. Things which are equal to the same things are equal to one another. | |
| 39. |
Rectilinear figure is formed by ______. |
| A. | Planes |
| B. | Points |
| C. | Straight lines |
| D. | None of these |
| Answer» D. None of these | |
| 40. |
Two distinct points in a plane determine ______ line(s). |
| A. | Unique |
| B. | Two |
| C. | Three |
| D. | None of these |
| Answer» B. Two | |
| 41. |
A surface has____. |
| A. | 0 dimension |
| B. | 1 dimension |
| C. | 2 dimensions |
| D. | 3 dimensions |
| Answer» D. 3 dimensions | |
| 42. |
Euclid stated that 'all right angles are equal to one another', in the form of ____. |
| A. | an axiom |
| B. | a definition |
| C. | a postulate |
| D. | a proof |
| Answer» D. a proof | |
| 43. |
In the given figure, if AC =BD, then____. |
| A. | AB = BD |
| B. | BC = CD |
| C. | AB = CD |
| D. | AC = AB |
| Answer» D. AC = AB | |
| 44. |
If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is ____ two right angles. |
| A. | Equal to |
| B. | More than |
| C. | Less than |
| D. | Can't be determined |
| Answer» D. Can't be determined | |
| 45. |
According to Euclid, a surface has ____. |
| A. | Length but no breadth and thickness |
| B. | Length and breadth but no thickness |
| C. | No length, no breadth and no thickness |
| D. | Length, breadth and thickness |
| Answer» C. No length, no breadth and no thickness | |
| 46. |
Which of the following is not a Euclid's axiom? |
| A. | The whole is greater than the part. |
| B. | Things which are double of the same things are equal to one another. |
| C. | Thing which are halves of the same things are equal to one another. |
| D. | If two things are equal, then their sum is equal to \[\frac{1}{3}\] of the one thing. |
| Answer» E. | |
| 47. |
A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of ` 5 per \[c{{m}^{2}}.\]Find the cost of painting. |
| A. | ` 880 |
| B. | ` 1020 |
| C. | ` 960 |
| D. | ` 980 |
| Answer» D. ` 980 | |
| 48. |
The adjacent sides of a parallelogram are 4 cm and 9 cm. What is the ratio of its altitudes? |
| A. | 16 : 81 |
| B. | 9 : 4 |
| C. | 2 : 3 |
| D. | 3 : 2 |
| Answer» C. 2 : 3 | |
| 49. |
What is the area of a parallelogram whose diagonal is 6.8 cm and the perpendicular distance of this diagonal from an opposite vertex is 7.5 cm? |
| A. | \[25.5\,c{{m}^{2}}\] |
| B. | \[11.9\,c{{m}^{2}}\] |
| C. | \[12.5\,c{{m}^{2}}\] |
| D. | \[51\,c{{m}^{2}}\] |
| Answer» E. | |
| 50. |
The area of a parallelogram ABCD in which AB = 12 cm, BC = 9 cm and diagonal AC = 15 cm is k cm2. Find the value of \[\frac{k-100}{4}.\] |
| A. | 3 |
| B. | 4 |
| C. | 2 |
| D. | 5 |
| Answer» D. 5 | |