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MCQOPTIONS
This section includes 2154 Mcqs, each offering curated multiple-choice questions to sharpen your 7th Class knowledge and support exam preparation. Choose a topic below to get started.
| 251. |
If one angle is the average of the other two angles and the difference between the greatest and least angles is \[60{}^\circ ,\] which triangle is formed? |
| A. | An isosceles triangle. |
| B. | An equilateral triangle. |
| C. | A right angled triangle. |
| D. | A right angled isosceles triangle. |
| Answer» D. A right angled isosceles triangle. | |
| 252. |
The given figure shows two buildings AB and CD. X is a point between the buildings from which two ropes are tied without slack to the top of the buildings. What is the distance between the buildings? |
| A. | \[15\,m\] |
| B. | \[14\,m\] |
| C. | \[13\,m\] |
| D. | \[12\,m\] |
| Answer» E. | |
| 253. |
In a \[\Delta PQR,\] If\[P{{Q}^{2}}=P{{R}^{2}}+Q{{R}^{2}},\]at which vertex is the right angle? |
| A. | P |
| B. | Q |
| C. | R |
| D. | Either P or Q |
| Answer» D. Either P or Q | |
| 254. |
Which of the following sets of measures cannot be the lengths of the sides of a right triangle? |
| A. | 5 cm, 4 cm and 03 cm |
| B. | 8 cm, 6 cm and 11 cm |
| C. | 1 cm, \[2.4\]cm and \[2.6\] cm |
| D. | 60 cm, 25 cm and 65 cm |
| Answer» C. 1 cm, \[2.4\]cm and \[2.6\] cm | |
| 255. |
Which of the following steps is INCORRECT while constructing \[\Delta XYZ\]if it is given that \[XY=6cm,\angle ZXy={{30}^{o}}\]and \[\angle XYZ={{100}^{o}}\] Step 1: Draw line XV of length 6 cm. Step 2: At X, draw a ray XP making an angle of \[{{30}^{o}}\]with XY. Step 3: At V, draw a ray YQ making an angle of \[{{100}^{o}}\] with YX. Step 4: The point of intersection of the two rays XY and YQ is Z. |
| A. | Step 1 |
| B. | Step 2 and Step 4 |
| C. | Step 3 |
| D. | Step 4 |
| Answer» E. | |
| 256. |
Direction: David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as l, m and n. What can you say about lines I and n? |
| A. | \[l//n\] |
| B. | \[l\bot n\] |
| C. | I is the same line as n |
| D. | Neither [a] nor [b] |
| Answer» C. I is the same line as n | |
| 257. |
Direction: David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as l, m and n. Which of the following is true? |
| A. | \[l//m\] |
| B. | \[l//n\] |
| C. | \[n//m\] |
| D. | Either [b] or [c] |
| Answer» B. \[l//n\] | |
| 258. |
A triangular sign board on highway from Agartala to Dibrugarh is isosceles. If the unequal side is 8 cm and one of the equal sides is 9 cm, what is the measure of the third side? |
| A. | \[9\text{ }cm\] |
| B. | \[\text{8 }cm\] |
| C. | \[\frac{17}{2}\text{ }cm\] |
| D. | Either (a) or (c) |
| Answer» B. \[\text{8 }cm\] | |
| 259. |
In which of the following cases, a unique triangle can be drawn? |
| A. | \[AB=4\text{ }cm,\text{ }BC=8\text{ }cm\]and \[CA=2\text{ }cm\] |
| B. | \[BC=5.2\text{ }cm,\text{ }\angle S={{90}^{o}}\]and \[\angle C={{110}^{o}}\] |
| C. | \[XY=5\text{ }cm,\text{ }\angle X={{45}^{o}}\]and \[\angle Y={{60}^{o}}\] |
| D. | An isosceles triangle with the length of each equal side 6.2 cm. |
| Answer» D. An isosceles triangle with the length of each equal side 6.2 cm. | |
| 260. |
A Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides. |
| A. | 3 cm, 4 cm, 5 cm |
| B. | 7 cm, 6 cm, 5 cm |
| C. | 10 cm, 7 cm, 2 cm |
| D. | 12 cm, 8 cm, 6 cm |
| Answer» D. 12 cm, 8 cm, 6 cm | |
| 261. |
Direction: Meera folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as 1, m and n. What can you say about lines 1 and n? |
| A. | \[1//m\] |
| B. | \[1\bot n\] |
| C. | 1 is the same line as n |
| D. | Neither (a) nor (b) |
| Answer» C. 1 is the same line as n | |
| 262. |
Which of the following sets of triangles could be the lengths of the sides of a right-angled triangle? |
| A. | \[3\text{ }cm,\text{ }4\text{ }cm,\text{ }6\text{ }cm\] |
| B. | \[9\text{ }cm,\text{ }16\text{ }cm,\text{ }26\text{ }cm\] |
| C. | \[1.5\text{ }cm,\text{ }3.6\text{ }cm,\text{ }3.9\text{ }cm\] |
| D. | \[7\text{ }cm,\text{ }24\text{ }cm,\text{ }26\text{ }cm\] |
| Answer» D. \[7\text{ }cm,\text{ }24\text{ }cm,\text{ }26\text{ }cm\] | |
| 263. |
Direction: Meera folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as 1, m and n. Which of the following is true? |
| A. | \[1//m\] |
| B. | \[1//n\] |
| C. | \[n//m\] |
| D. | Either (b) or (c) |
| Answer» B. \[1//n\] | |
| 264. |
A right triangle DEF is constructed with \[DE=5\text{ }cm,\] \[\angle F={{90}^{o}}\] and \[DF=4\text{ }cm\]. Choose the correct statement from the following. |
| A. | DE is the hypotenuse of \[\Delta DEF\]. |
| B. | \[\angle E+\angle D={{90}^{o}}\] |
| C. | \[EF=3cm\] |
| D. | All the above. |
| Answer» E. | |
| 265. |
Identify the criterion of construction of the equilateral triangle LMN given \[LM=6\text{ }cm\]. |
| A. | S.A.S. criterion |
| B. | R.H.S. criterion |
| C. | A.S.A. criterion |
| D. | S.S.S. criterion |
| Answer» E. | |
| 266. |
The idea of equal alternate angles is used to construct which of the following? |
| A. | A line parallel to a given line |
| B. | A triangle |
| C. | A square |
| D. | Two triangles |
| Answer» B. A triangle | |
| 267. |
A triangle \[\Delta PQR\] with \[\angle Q={{90}^{o}},\]\[QR=8\text{ }cm\] and \[PR=10\text{ }cm\] is constructed. What would be the measure of PQ? |
| A. | \[3\,cm\] |
| B. | \[4\,cm\] |
| C. | \[10\,cm\] |
| D. | \[6\,cm\] |
| Answer» E. | |
| 268. |
A triangle can be constructed by taking its sides as |
| A. | \[1.8\text{ }cm,\text{ }2.6\text{ }cm,\text{ }4.4\text{ }cm\] |
| B. | \[2\text{ }cm,\text{ }3\text{ }cm,\text{ }4\text{ }cm\] |
| C. | \[2.4\text{ }cm,\text{ }2.4\text{ }cm,\text{ }6.4\text{ }cm\] |
| D. | \[3.2\text{ }cm,\text{ }2.3\text{ }cm,\text{ }5.5\text{ }cm\] |
| Answer» C. \[2.4\text{ }cm,\text{ }2.4\text{ }cm,\text{ }6.4\text{ }cm\] | |
| 269. |
The idea of equal alternate angles in used to construct which of the following? |
| A. | A line parallel to a given line |
| B. | A triangle |
| C. | A square |
| D. | Two triangles |
| Answer» B. A triangle | |
| 270. |
A Given \[AB=3\text{ }cm,\text{ }AC=5\text{ }cm,\]and \[\angle B={{30}^{o}},\] \[\Delta ABC\] cannot be uniquely constructed, with AC as base, why? |
| A. | Two sides and included angle are given. |
| B. | The other two angles are not given. |
| C. | The vertex B cannot be uniquely located. |
| D. | The vertex A coincides with the vertex C. |
| Answer» D. The vertex A coincides with the vertex C. | |
| 271. |
To which of these triangles is the Pythagoras' property related? |
| A. | A scalene triangle. |
| B. | An acute angled triangle. |
| C. | A right angled triangle. |
| D. | An obtuse angled triangle. |
| Answer» D. An obtuse angled triangle. | |
| 272. |
Which of the following are the measures of a triangle that can be constructed using the S.S.S. criterion? |
| A. | \[\overline{XY}=6cm,\,\angle X={{40}^{o}},\angle Y={{70}^{o}}\] |
| B. | \[\overline{DE}=8cm,\,\overline{EF}=7cm,\overline{FD}=9cm\] |
| C. | \[\overline{PQ}=4cm,\,\overline{QR}=6cm,\angle Q={{80}^{o}}\] |
| D. | \[\overline{AB}=5cm,BC=4cm,\angle C={{90}^{o}}\] |
| Answer» C. \[\overline{PQ}=4cm,\,\overline{QR}=6cm,\angle Q={{80}^{o}}\] | |
| 273. |
Which property is the correct one to construct triangle in question 35. |
| A. | SSS Property |
| B. | SAS property |
| C. | RHS property |
| D. | AAA property |
| Answer» C. RHS property | |
| 274. |
\[\Delta PQR\] is such that \[\angle P=\angle Q=\angle R={{60}^{o}}\] ^^ which of the following is true? |
| A. | A PQR is equilateral. |
| B. | APQR is acute angled. |
| C. | Both [a] and [b] |
| D. | Neither [a] nor [b] |
| Answer» D. Neither [a] nor [b] | |
| 275. |
Given \[AB=3\text{ }cm,\text{ }BC=5\text{ }cm\] \[\angle C=70{}^\circ ,\]are the following steps to construct the \[\Delta le\]correctly shown? Step 1: Draw \[AB=3\text{ }cm\] 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» E. | |
| 276. |
A triangle PQR is constructed with \[PQ=10cm,\] \[PR=8cm\] and \[\angle P={{90}^{o}}\]. Identify the correct classification of \[\Delta PQR\]. |
| A. | Based on sides Based on angles Scalene Right angled |
| B. | Based on sides Based on angles Isosceles Acute angled |
| C. | Based on sides Based on angles Scalene Acute angled |
| D. | Based on sides Based on angles Isosceles Right angled |
| Answer» B. Based on sides Based on angles Isosceles Acute angled | |
| 277. |
Which vertex of \[\Delta ABC\] is right angled if \[\overline{AB}=8cm,\] \[\overline{AC}=6\,cm,\]and \[\overline{BC}=10\,cm,\]? |
| A. | \[\angle C\] |
| B. | \[\angle A\] |
| C. | \[\angle B\] |
| D. | A or C |
| Answer» C. \[\angle B\] | |
| 278. |
In \[\Delta ABC,\] \[\angle C={{50}^{o}}\] and \[\angle A=\angle B\]. What is the measure of \[\angle A\]? |
| A. | \[{{75}^{o}}\] |
| B. | \[{{80}^{o}}\] |
| C. | \[{{65}^{o}}\] |
| D. | \[{{45}^{o}}\] |
| Answer» D. \[{{45}^{o}}\] | |
| 279. |
An isosceles triangle is constructed as shown in the figure. Which of the given statements is incorrect? |
| A. | \[\overline{PR}\] is the hypotenuse of \[\Delta PQR\]. |
| B. | \[\Delta PQR\] is an equilateral triangle. |
| C. | \[\Delta PQR\] is a right angled triangle. |
| D. | If right angled \[\Delta PQR\] has its equal angles measuring \[{{45}^{o}}\]each. |
| Answer» C. \[\Delta PQR\] is a right angled triangle. | |
| 280. |
In the above figure, identify the angle constructed after step 3 and by joining the points O and S. |
| A. | \[80{}^\circ C\] |
| B. | \[75{}^\circ \] |
| C. | \[120{}^\circ \] |
| D. | \[135{}^\circ \] |
| Answer» D. \[135{}^\circ \] | |
| 281. |
A triangle is constructed as shown in the figure. Which of the following is not correct about s\[\Delta DEF\] |
| 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. | |
| 282. |
The __ criterion is used to construct a triangle when the lengths of the three sides are given. |
| A. | SAS |
| B. | SSS |
| C. | RHS |
| D. | ASA |
| Answer» C. RHS | |
| 283. |
A triangular sign board is isosceles. If the unequal side is 7 cm and one of the equal sides is 6 cm, what is the measure of the third side? |
| A. | 5cm |
| B. | 6cm |
| C. | 7cm |
| D. | Either [a] or [c] |
| Answer» C. 7cm | |
| 284. |
Identify the angle that gets constructed: after step 4 and by joining the points O and T. |
| A. | \[30{}^\circ \] |
| B. | \[45{}^\circ \] |
| C. | \[60{}^\circ \] |
| D. | \[90{}^\circ \] |
| Answer» E. | |
| 285. |
An isosceles triangle is constructed as shown in the figure. Which of the given statements in incorrect? |
| A. | \[\overline{PR}\] is the hypotenuse of \[\Delta PQR\]. |
| B. | \[\Delta PQR\] is an equilateral triangle. |
| C. | \[\Delta PQR\] is a right angled triangle. |
| D. | In right angled \[\Delta PQR\], its equal angles measure as \[90{}^\circ ,45{}^\circ ,45{}^\circ .\] |
| Answer» C. \[\Delta PQR\] is a right angled triangle. | |
| 286. |
In \[\Delta XYZ,\,\,\overline{XY}>\overline{YZ}>\overline{ZX}\] Which of the following is the smallest angle? |
| A. | X |
| B. | Z |
| C. | Y |
| D. | \[X=Y=Z\] |
| Answer» D. \[X=Y=Z\] | |
| 287. |
In \[\Delta ABC\text{ }\overline{AB}>\overline{BC}>\overline{CA}\] 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. \[\angle C\] | |
| 288. |
Rajkumari folds a sheet of paper in the following way: Which of the following is false? |
| A. | Line \[O||\] line of P |
| B. | Line \[m\bot \] line n |
| C. | With respect to lines O & P, line 'n' is a transversal |
| D. | With respect to lines m and n, line 'O' is transversal |
| Answer» C. With respect to lines O & P, line 'n' is a transversal | |
| 289. |
\[\Delta PQR\] 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. | |
| 290. |
How many perpendicular lines can be drawn to a line from a point not on it? |
| A. | 1 |
| B. | 2 |
| C. | 0 |
| D. | Infinite |
| Answer» B. 2 | |
| 291. |
\[\Delta PQR\] is constructed such that \[PQ=5\text{ }cm,\] \[PR=5\text{ }cm\] and \[\angle RPQ={{50}^{o}}\] Identify the type of triangle constructed. |
| A. | An isosceles triangle |
| B. | An acute angled triangle |
| C. | An obtuse angled triangle |
| D. | Both [a] and [b] |
| Answer» E. | |
| 292. |
Given \[PQ=4\text{ }cm,\] \[QR=3.5\text{ }cm\] and \[RP=4.5\text{ }cm,\]what type of a triangle can be constructed? |
| A. | An acute angled triangle |
| B. | An obtuse angled triangle |
| C. | An equilateral triangle |
| D. | A right angled triangle |
| Answer» B. An obtuse angled triangle | |
| 293. |
Satish followed the steps given in the box. 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 \[{{45}^{o}}\] angle? |
| A. | Step 1 |
| B. | Step 2 |
| C. | Step 3 |
| D. | Steps 2 and 3 |
| Answer» D. Steps 2 and 3 | |
| 294. |
Which one of the following is true for the given triangle? |
| A. | \[\angle 3=\angle 1+\angle 2\] |
| B. | \[\angle 1=\angle 3+\angle 2\] |
| C. | \[\angle 2=\angle 1+\angle 3\] |
| D. | Both (a) and (b) |
| Answer» B. \[\angle 1=\angle 3+\angle 2\] | |
| 295. |
In the given figure, find the measure of\[\angle ROT,\] if \[PQ=QR\] and \[\angle QPR={{60}^{o}}\]. |
| A. | \[{{60}^{o}}\] |
| B. | \[{{140}^{o}}\] |
| C. | \[{{120}^{o}}\] |
| D. | \[{{100}^{o}}\] |
| Answer» D. \[{{100}^{o}}\] | |
| 296. |
Given \[PQ=6\text{ }cm,\text{ }QR=55\text{ }cm\] and \[RP=55\text{ }cm,\]what type of a triangle can be constructed? |
| A. | An acute angled triangle. |
| B. | An obtuse angled triangle |
| C. | An equilateral triangle |
| D. | A right angle triangle |
| Answer» B. An obtuse angled triangle | |
| 297. |
Study the steps of construction given. Step1: Draw a ray OA. Step2: With O as centre and any convenient radius draw an arc MN to cut \[\overrightarrow{OA}\] at M. Step3: With M as centre and the same radius draw an arc to cut MN at P. Step4: With P as centre and the same radius, draw an arc to cut MN at Q. Step5: Draw OQ and produce it to D. An angle AOD is constructed. What is the measure of \[\angle AOD\]? |
| A. | \[{{60}^{o}}\] |
| B. | \[{{30}^{o}}\] |
| C. | \[{{120}^{o}}\] |
| D. | \[{{45}^{o}}\] |
| Answer» D. \[{{45}^{o}}\] | |
| 298. |
In \[\Delta \text{ }XYZ,\]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. \[a+c>b\] | |
| 299. |
In \[\Delta XYZ\], x, y and z denote the three sides. Which of the following is incorrect'? |
| A. | \[x-y>z\] |
| B. | \[x+z>y\] |
| C. | \[x-y<z\] |
| D. | \[x+y>z\] |
| Answer» B. \[x+z>y\] | |
| 300. |
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 | |