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MCQOPTIONS
This section includes 1770 Mcqs, each offering curated multiple-choice questions to sharpen your 6th Class knowledge and support exam preparation. Choose a topic below to get started.
| 251. |
A line segment \[\overline{\text{IP}}\]is bisected at T. Which of the following equals\[\overline{\text{IT}}\]? |
| A. | \[\overline{\text{IP}}\] |
| B. | \[\overline{\text{TP}}\] |
| C. | \[\overline{\text{TC}}\] |
| D. | \[\overline{\text{IQ}}\] |
| Answer» C. \[\overline{\text{TC}}\] | |
| 252. |
Rohan thinks he knows how to bisect angles and follows following steps to construct \[45{}^\circ \]angle. Step 1: Construct an angle of\[~90{}^\circ \]. Step 2: Bisect the \[~90{}^\circ \] angle. Step 3: Bisect one of the angles obtained in step 2. Which steps is not required to construct a \[45{}^\circ \] angle? |
| A. | Step 1 |
| B. | Step 2 |
| C. | Step 3 |
| D. | Step 2 and 3 |
| Answer» D. Step 2 and 3 | |
| 253. |
Number of perpendicular bisectors for a line segment is |
| A. | Three |
| B. | Five |
| C. | One |
| D. | Infinite |
| Answer» D. Infinite | |
| 254. |
An angle \[\angle \text{XYZ=75 }\!\!{}^\circ\!\!\text{ }\]is bisected by an angular bisector \[\overrightarrow{\text{YU}}\]. Then what is the measure of\[\angle \,\text{UYZ}\]? |
| A. | \[\text{37 }\!\!{}^\circ\!\!\text{ }\] |
| B. | \[\text{37}\text{.5 }\!\!{}^\circ\!\!\text{ }\] |
| C. | \[\text{47}\text{.5 }\!\!{}^\circ\!\!\text{ }\] |
| D. | \[\text{47 }\!\!{}^\circ\!\!\text{ }\] |
| Answer» C. \[\text{47}\text{.5 }\!\!{}^\circ\!\!\text{ }\] | |
| 255. |
Which of the following can be used to construct a \[{{30}^{o}}\]angle? |
| A. | Construct \[{{60}^{o}}\] angle using compasses and bisect it. |
| B. | Contact a perpendicular bisector of a line segment. |
| C. | Construct the bisector of any angle. |
| D. | Construct an angle congruent to any given angle. |
| Answer» B. Contact a perpendicular bisector of a line segment. | |
| 256. |
How do you draw a \[\text{90 }\!\!{}^\circ\!\!\text{ }\] angle? |
| A. | By drawing a perpendicular to a line from a point lying on it. |
| B. | By bisecting a \[\text{120 }\!\!{}^\circ\!\!\text{ }\] angle. |
| C. | By bisecting a \[\text{60 }\!\!{}^\circ\!\!\text{ }\] angle. |
| D. | By drawing multiples of \[\text{45 }\!\!{}^\circ\!\!\text{ }\] angle. |
| Answer» B. By bisecting a \[\text{120 }\!\!{}^\circ\!\!\text{ }\] angle. | |
| 257. |
The measurements of \[\Delta DEF\] are \[EF=8.4\text{ }cm,\] \[\angle E=100{}^\circ \] and\[\angle F=82{}^\circ \]. Which of the following is correct? |
| A. | ADEF can be constructed. |
| B. | ADEF is an obtuse angled triangle. |
| C. | A cannot be constructed |
| D. | ADEF is an acute angled triangle. |
| Answer» D. ADEF is an acute angled triangle. | |
| 258. |
Sumit constructed an angle of \[\text{90 }\!\!{}^\circ\!\!\text{ }\] and trisected it. Measure of two angles taken together will be |
| A. | \[\text{20 }\!\!{}^\circ\!\!\text{ }\] |
| B. | \[\text{40 }\!\!{}^\circ\!\!\text{ }\] |
| C. | \[\text{60 }\!\!{}^\circ\!\!\text{ }\] |
| D. | None of these |
| Answer» D. None of these | |
| 259. |
Which of the following is an angle that can be constructed using compasses and a ruler? |
| A. | \[\text{20 }\!\!{}^\circ\!\!\text{ }\] |
| B. | \[\text{80 }\!\!{}^\circ\!\!\text{ }\] |
| C. | \[\text{60 }\!\!{}^\circ\!\!\text{ }\] |
| D. | \[\text{110 }\!\!{}^\circ\!\!\text{ }\] |
| Answer» D. \[\text{110 }\!\!{}^\circ\!\!\text{ }\] | |
| 260. |
A line segment \[\overrightarrow{\text{TP}}\]is bisected at I. What is the measure of\[\overrightarrow{\text{Tl}}\]? |
| A. | \[\frac{1}{2}\overrightarrow{\text{IP}}\] |
| B. | \[\overrightarrow{\text{IP}}\] |
| C. | \[\overrightarrow{\text{TP}}\] |
| D. | \[\frac{1}{3}\overrightarrow{\text{TP}}\] |
| Answer» C. \[\overrightarrow{\text{TP}}\] | |
| 261. |
A perpendicular is drawn to a line segment \[\overline{\text{MN}}\] at N using protractor and point P is marked on perpendicular, then _______. |
| A. | \[\overline{\text{MP}}\bot \overline{\text{NP}}\] |
| B. | \[\overline{\text{MN}}||\overline{\text{NP}}\] |
| C. | \[\overline{\text{MN}}||\overline{\text{MP}}\] |
| D. | \[\overline{\text{MN}}\bot \overline{\text{NP}}\] |
| Answer» E. | |
| 262. |
Which of the following can be drawn on a piece of paper? |
| A. | A line |
| B. | A line segment |
| C. | A ray |
| D. | A plane |
| Answer» C. A ray | |
| 263. |
Lines p and q have a point M in common. Identify the correct statement. |
| A. | \[\angle 1=-3\] |
| B. | \[\angle 2=-3\] |
| C. | \[\angle 3=\angle 4\] |
| D. | \[\angle 1=\angle 2\] |
| Answer» B. \[\angle 2=-3\] | |
| 264. |
\[\text{p }\!\!|\!\!\text{ }\!\!|\!\!\text{ q}\text{.}\] \[\text{C}\] and \[\text{D}\] are two points on p and M and N are two points on q, such that M and N are exactly opposite to C and D respectively. Identify the true statement. |
| A. | CDNM forms a rectangle. |
| B. | \[\overline{\text{CM}}\text{=}\overline{\text{DN}}\] |
| C. | Both [a] and [b] |
| D. | Neither [a] nor [b] |
| Answer» D. Neither [a] nor [b] | |
| 265. |
At 7 a.m. the angle between the Sun's ray and the ground at a point is\[\text{43 }\!\!{}^\circ\!\!\text{ }\]. What would be the angle at 10 a.m.? |
| A. | \[\text{40 }\!\!{}^\circ\!\!\text{ }\] |
| B. | \[\text{90 }\!\!{}^\circ\!\!\text{ }\] |
| C. | Between \[\text{43 }\!\!{}^\circ\!\!\text{ }\] and \[\text{90 }\!\!{}^\circ\!\!\text{ }\] |
| D. | Greater than \[\text{90 }\!\!{}^\circ\!\!\text{ }\] |
| Answer» D. Greater than \[\text{90 }\!\!{}^\circ\!\!\text{ }\] | |
| 266. |
\[\overrightarrow{\text{XY}}\] divides \[\angle \text{MXN=72}{}^\circ \] in the ratio 1:2. What is the measure of \[\angle \text{YXN}\]? |
| A. | \[\text{48 }\!\!{}^\circ\!\!\text{ }\] |
| B. | \[\text{24 }\!\!{}^\circ\!\!\text{ }\] |
| C. | \[\text{72 }\!\!{}^\circ\!\!\text{ }\] |
| D. | \[\text{96 }\!\!{}^\circ\!\!\text{ }\] |
| Answer» B. \[\text{24 }\!\!{}^\circ\!\!\text{ }\] | |
| 267. |
P and Q are the end points of a line segment\[\overline{\text{PQ}}\]. If R is any point on\[\overline{\text{PQ}}\], which of the given statements may be true? |
| A. | \[\text{PR = QR}\] |
| B. | \[\text{PR QR}\] |
| C. | \[\text{PR QR}\] |
| D. | All the above |
| Answer» E. | |
| 268. |
\[\overrightarrow{\text{MN}}\] is the perpendicular bisector of \[\overleftrightarrow{\text{AB}}\]. Which of the given statements is correct?(i) \[\angle \text{ANM+}\angle \text{MNB=90}{}^\circ \](ii) \[\overline{\text{AN}}\text{=}\overline{\text{NB}}\](iii) \[\overline{\text{AN}}\text{=2 }\overline{\text{NB}}\](iv) \[\angle \text{MNB=}\frac{1}{2}\angle \text{ANM}\] |
| A. | (i) and (iii) only |
| B. | (ii) and (iv) only |
| C. | (i) and (ii) only |
| D. | (ii) and (iii) only |
| Answer» D. (ii) and (iii) only | |
| 269. |
What do you call two lines intersecting at a point? |
| A. | Perpendicular lines |
| B. | Parallel lines |
| C. | Bisectors lines |
| D. | Intersecting lines |
| Answer» E. | |
| 270. |
\[\overrightarrow{\text{BA}}\bot \overleftrightarrow{\text{XY}}\] Which of the following statements are incorrect?(i) \[\angle ABX+\angle ABY=180{}^\circ \](ii) \[\angle ABX=2\text{ right angles}\](iii) \[\angle \text{ABY=90 }\!\!{}^\circ\!\!\text{ }\](iv) \[\angle \text{XBY=90 }\!\!{}^\circ\!\!\text{ }\] |
| A. | (i) and (ii) only |
| B. | (ii) and (iv) only |
| C. | (ii) and (iii) only |
| D. | (i) and (iv) only |
| Answer» C. (ii) and (iii) only | |
| 271. |
Identify the uses of a ruler. |
| A. | To draw a line segment of a given length |
| B. | To draw a copy of a given segment. |
| C. | To draw a diameter of a circle. |
| D. | All the above. |
| Answer» E. | |
| 272. |
\[\angle PQR=\angle XYZ.\] If \[\overrightarrow{\text{QM}}\], bisects \[\angle PQR,\] \[\overrightarrow{YN}\] bisects \[\angle XYZ,\] which of the following statements are true? (i) \[\angle PQM+\angle NYZ=\angle PQR\] (ii) \[\angle MQR+XYN=\angle XYZ\] (iii) \[\angle PQM=2\angle PQR\] (iv) \[\angle XYZ=2\angle MQR\] |
| A. | (i) and (ii) only |
| B. | (i) and (iv) only |
| C. | (ii) and (iii) only |
| D. | (i), (ii) and (iv) only |
| Answer» E. | |
| 273. |
P is the midpoint of\[\overline{\text{AB}}\]. M and N are midpoints of \[\overline{\text{AP}}\]respectively. What is the measure of\[\overline{\text{MN}}\]? |
| A. | \[\frac{1}{3}\overline{\text{AB}}\] |
| B. | \[\frac{1}{2}\overline{\text{AB}}\] |
| C. | \[\frac{1}{2}\overline{\text{AP}}\] |
| D. | \[\frac{3}{2}\overline{\text{AB}}\] |
| Answer» C. \[\frac{1}{2}\overline{\text{AP}}\] | |
| 274. |
\[\overrightarrow{XY}\]bisects\[\angle AXB\]. If \[\angle \text{YXB = 37}\text{.5 }\!\!{}^\circ\!\!\text{ }\], what is the measure of \[\angle AXB\]? |
| A. | \[\text{37}\text{.5 }\!\!{}^\circ\!\!\text{ }\] |
| B. | \[\text{74 }\!\!{}^\circ\!\!\text{ }\] |
| C. | (C)\[\text{64 }\!\!{}^\circ\!\!\text{ }\] |
| D. | \[\text{75 }\!\!{}^\circ\!\!\text{ }\] |
| Answer» E. | |
| 275. |
The figure shows \[\angle PQR\] which measures\[\text{48 }\!\!{}^\circ\!\!\text{ }\]. \[\overrightarrow{\text{QX}}\] is drawn such that \[\angle PQX=\angle XQR.\]. What is \[\overrightarrow{QX}\]called? |
| A. | Perpendicular bisector |
| B. | Divider ray |
| C. | Angle bisector |
| D. | Either [a] or [b] |
| Answer» D. Either [a] or [b] | |
| 276. |
X and Y are two distinct points in a plane. How many lines can be drawn passing through both X and Y? |
| A. | 0 |
| B. | 1 |
| C. | Only 2 |
| D. | Infinitely many |
| Answer» C. Only 2 | |
| 277. |
Anitha's maths book has the figure given. Which instrument(s) did she use to draw the figure? |
| A. | The compasses and a ruler |
| B. | Only compasses |
| C. | Only ruler |
| D. | Cannot be said. |
| Answer» B. Only compasses | |
| 278. |
An angle of \[\text{75 }\!\!{}^\circ\!\!\text{ }\] is drawn using a pair of compass and ruler by bisecting ___. |
| A. | \[\text{60 }\!\!{}^\circ\!\!\text{ }\] |
| B. | \[\text{60 }\!\!{}^\circ\!\!\text{ }\] and \[\text{90 }\!\!{}^\circ\!\!\text{ }\] |
| C. | \[\text{0 }\!\!{}^\circ\!\!\text{ }\] and \[\text{90 }\!\!{}^\circ\!\!\text{ }\] |
| D. | \[\text{120 }\!\!{}^\circ\!\!\text{ }\] and \[\text{180 }\!\!{}^\circ\!\!\text{ }\] |
| Answer» C. \[\text{0 }\!\!{}^\circ\!\!\text{ }\] and \[\text{90 }\!\!{}^\circ\!\!\text{ }\] | |
| 279. |
Identify the instruments used to bisect a given line segment. |
| A. | A scale and a protractor |
| B. | Scale and compasses |
| C. | Scale and setsquares |
| D. | A scale |
| Answer» C. Scale and setsquares | |
| 280. |
The point M on \[\overleftrightarrow{\text{AB}}\] is such that\[\overline{\text{AM}}\text{ = }\overline{\text{MB}}\]. Which of the following is a false statement? |
| A. | M is the mid-point of \[\overleftrightarrow{\text{AB}}\]. |
| B. | \[\overline{\text{AM}}\]\[\text{=}\frac{1}{2}\overleftrightarrow{\text{AB}}\] |
| C. | \[\overline{\text{MB}}=2\overleftrightarrow{\text{AB}}\] |
| D. | The point M bisects AB. |
| Answer» D. The point M bisects AB. | |
| 281. |
\[\overrightarrow{\text{QZ}}\] is the bisector of \[\angle \text{PQZ=}\angle \text{PQR}\]. Which of the following is true? |
| A. | \[\angle \text{PQZ=}\angle \text{PQR}\] |
| B. | \[\angle \text{PQZ=}\angle \text{ZQR}\] |
| C. | \[\angle \text{PQZ=}\frac{1}{2}\angle \text{ZQR}\] |
| D. | Both [b] and [c] |
| Answer» E. | |
| 282. |
Given \[AB=3\,\,cm,\,\,BC=5\,\,cm,\] \[\angle C=70{}^\circ ,\] are the following steps to construct the \[\Delta \]correctly shown? Step 1: Draw \[AB=3\,\,cm\] Step 2: Draw angle \[=70{}^\circ \] from B using protractor Step 3: Cut off length \[=5\,\,cm\] to get C |
| A. | Step 1 is correct |
| B. | Step 2 is correct |
| C. | All steps are correct |
| D. | Step 1 should be to draw\[BC=5\,\,cm\] |
| Answer» D. Step 1 should be to draw\[BC=5\,\,cm\] | |
| 283. |
Which property has been used to construct the triangle in Q 33? |
| A. | RHS property |
| B. | SSS property |
| C. | SAS property |
| D. | ASA property |
| Answer» E. | |
| 284. |
Identify the pair of parallel lines.(i) Lines m and n have two points in common.(ii) Lines p and q do not have any point in common(iii) Lines p and q have a point X in common. |
| A. | (i) and (ii) only |
| B. | (ii) only |
| C. | (ii) and (iii) only |
| D. | (i), (ii) and (iii) |
| Answer» C. (ii) and (iii) only | |
| 285. |
In \[\Delta ABC,\] \[\overline{AB}>\overline{BC}>\overline{CA}\] which of the following is the smallest angle? |
| A. | \[\angle A\] |
| B. | \[\angle B\] |
| C. | \[\angle C\] |
| D. | \[\angle A=\angle B=\angle C\] |
| Answer» C. \[\angle C\] | |
| 286. |
Read the statements carefully. Statement 1: Two lines are said to be perpendicular if they intersect each other at an angle of \[\text{90 }\!\!{}^\circ\!\!\text{ }\]. Statement 2: A unique circle can be drawn passing through the given centre. Which of the following options holds? |
| A. | Both Statement - 1 and Statement - 2 are true. |
| B. | Statement - 1 is true and Statement - 2 is false. |
| C. | Statement-1 is false and Statement-2 is true. |
| D. | Both Statement-1 and Statement-2 are false. |
| Answer» C. Statement-1 is false and Statement-2 is true. | |
| 287. |
A maths teacher asked his students to draw a pair of parallel lines. Which instrument(s) are the students most likely to use? |
| A. | A ruler and a compass |
| B. | Two edges of a ruler |
| C. | A ruler and a setsquare |
| D. | Both [b] and [c] |
| Answer» E. | |
| 288. |
A triangle is constructed as shown in the figure. Which of the following is not correct about \[\Delta DEF\]? |
| A. | \[\Delta DEF\] has all its sides equal. |
| B. | \[\Delta DEF\] is an acute angled triangle. |
| C. | \[\Delta DEF\] is a scalene triangle. |
| D. | \[\Delta DEF\] is not an equilateral triangle. |
| Answer» B. \[\Delta DEF\] is an acute angled triangle. | |
| 289. |
Identify the one with no definite length. |
| A. | \[\overleftrightarrow{\text{AB}}\] |
| B. | \[\overline{\text{PQ}}\] |
| C. | \[\text{-XYZ}\] |
| D. | \[\overline{\text{MN}}\] |
| Answer» B. \[\overline{\text{PQ}}\] | |
| 290. |
\[\Delta PQR\] is constructed with all its angles measuring \[60{}^\circ \] each. Which of the following is correct? |
| A. | \[\Delta PQR\] is an equilateral triangle. |
| B. | \[\Delta PQR\] is isosceles triangle. |
| C. | \[\Delta PQR\] is a scalene triangle. |
| D. | \[\Delta PQR\] is a right angled triangle. |
| Answer» B. \[\Delta PQR\] is isosceles triangle. | |
| 291. |
Arrange the given steps in CORRECT order of constructing a perpendicular using ruler and compases. Steps of construction: 1. With A and B as centres and a radius greater than AP construct two arcs, which cut each other at Q. 2. Join PQ. Then \[\overline{\text{PQ}}\] is perpendicular to l. We write \[\overline{\text{PQ}}\bot l\]. 3. With P as centre and a convenient radius, construct an arc intersecting the line l at two points A and B. 4. Given a point P on a line l. |
| A. | 4-3-1-2 |
| B. | 3-4-2-1 |
| C. | 4-1-3-2 |
| D. | 1-2-3-4 |
| Answer» B. 3-4-2-1 | |
| 292. |
For which of the following are the rails of a railway line an example? |
| A. | Parallel lines |
| B. | Intersecting lines |
| C. | Perpendicular lines |
| D. | Coplanar lines |
| Answer» B. Intersecting lines | |
| 293. |
Fill in the blanks. (i) Perpendicular bisector of the diameter of a circle passes through the P of the circle. (ii) If B is image of A in line l and D is image of C in line l, then AC = Q . (iii) Angle bisector is a ray which divides the angle in R equal parts. |
| A. | P Q R Centre BD 2 |
| B. | P Q R Centre AD 1 |
| C. | P Q R Centre AB 1 |
| D. | P Q R Centre BC 2 |
| Answer» B. P Q R Centre AD 1 | |
| 294. |
If two lines have only one point in common, what are they called? |
| A. | Parallel lines |
| B. | Intersecting lines |
| C. | Perpendicular lines |
| D. | Transversal |
| Answer» C. Perpendicular lines | |
| 295. |
Which of the following steps is INCORRECT while constructing an angle of \[\text{60 }\!\!{}^\circ\!\!\text{ }\]? Step 1: Draw a line EF and mark a point O on it. Step 2: Place the pointer of the compass at O and draw an arc of convenient radius which cuts the line EF at point P. Step 3: With the pointer at A (as centre) now draw an arc that passes through O. Step 4: Let the two arcs intersect at Q. Join OQ. We get \[\angle \text{QOP}\]whose measure is\[\text{60 }\!\!{}^\circ\!\!\text{ }\]. |
| A. | Only Step-1 |
| B. | Both Step-2 and Step-3 |
| C. | Only Step-3 |
| D. | Both Step-3 and Step-4 |
| Answer» D. Both Step-3 and Step-4 | |
| 296. |
A perpendicular is drawn to a line segment \[\overline{\text{MN}}\]at N using a protractor and a point P is marked on it. Which of the following is true ? |
| A. | \[\overline{\text{MP}}\bot \overline{\text{NP}}\] |
| B. | \[\overline{\text{MN}}\bot \overline{\text{MP}}\] |
| C. | \[\text{M}\bot \text{P}\] |
| D. | \[\overline{\text{MN}}\bot \overline{\text{NP}}\] |
| Answer» E. | |
| 297. |
In \[\Delta XYZ,\]a, b, c denote the three sides, which of the following is incorrect? |
| A. | \[a-b>c\] |
| B. | \[a+c>b\] |
| C. | \[a-b<c\] |
| D. | \[a+b>c\] |
| Answer» B. \[a+c>b\] | |
| 298. |
Number of set squares in geometry box is |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 299. |
Two lines are said to be perpendicular to each other when they meet at ____angle. |
| A. | \[\text{180 }\!\!{}^\circ\!\!\text{ }\] |
| B. | \[\text{90 }\!\!{}^\circ\!\!\text{ }\] |
| C. | \[\text{60 }\!\!{}^\circ\!\!\text{ }\] |
| D. | \[\text{360 }\!\!{}^\circ\!\!\text{ }\] |
| Answer» C. \[\text{60 }\!\!{}^\circ\!\!\text{ }\] | |
| 300. |
Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides. |
| A. | 3 cm, 13 cm, 15 cm |
| B. | 6 cm, 6 cm, 6 cm |
| C. | 9 cm, 6 cm, 2 cm |
| D. | 13 cm, 6 cm, 8 cm |
| Answer» D. 13 cm, 6 cm, 8 cm | |