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MCQOPTIONS
This section includes 1900 Mcqs, each offering curated multiple-choice questions to sharpen your 9th Class knowledge and support exam preparation. Choose a topic below to get started.
| 751. |
In the given figure, \[AC\bot AB.\]find (i)\[\angle BAP,\] (ii) \[\angle CAQ.\] |
| A. | (i) (ii) \[{{15}^{o}}\] \[{{45}^{o}}\] |
| B. | (i) (ii) \[{{17}^{o}}\] \[{{45}^{o}}\] |
| C. | (i) (ii) \[{{15}^{o}}\] \[{{33}^{o}}\] |
| D. | (i) (ii) \[{{17}^{o}}\] \[{{33}^{o}}\] |
| Answer» E. | |
| 752. |
In the given figure, \[AB||CD\] and\[CD||EF\]. Also\[EA\bot AB\]. If\[\angle BEF={{55}^{o}}\], find the value of\[x-z\] |
| A. | \[{{0}^{o}}\] |
| B. | \[{{50}^{o}}\] |
| C. | \[{{80}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» E. | |
| 753. |
In the given figure, \[\mathbf{AB}\parallel \mathbf{CD}\], then \[{{\mathbf{x}}^{{}^\circ }}\]= ? |
| A. | \[{{40}^{{}^\circ }}\] |
| B. | \[{{70}^{{}^\circ }}\] |
| C. | \[{{30}^{{}^\circ }}\] |
| D. | \[{{90}^{{}^\circ }}\] |
| Answer» B. \[{{70}^{{}^\circ }}\] | |
| 754. |
If \[D\]is the midpoint of the hypotenuse \[AC\] of a right triangle\[ABC\], find the length of\[BD\]. |
| A. | \[\frac{1}{2}AC\] |
| B. | \[AC\] |
| C. | \[\frac{3}{2}AC\] |
| D. | \[2AC\] |
| Answer» B. \[AC\] | |
| 755. |
In the given figure, \[\mathbf{AB}\parallel \mathbf{CD},\angle \mathbf{ABE}={{95}^{{}^\circ }}\], Find \[\angle \mathbf{CDE}\]: |
| A. | \[{{120}^{{}^\circ }}\] |
| B. | \[{{110}^{{}^\circ }}\] |
| C. | \[{{125}^{{}^\circ }}\] |
| D. | \[{{100}^{{}^\circ }}\] |
| Answer» D. \[{{100}^{{}^\circ }}\] | |
| 756. |
In the given figure,\[\mathbf{AB}\parallel \mathbf{DC}\] and \[\mathbf{DE}\parallel \mathbf{BF}\]. What is the value of x? |
| A. | \[{{140}^{{}^\circ }}\] |
| B. | \[{{150}^{{}^\circ }}\] |
| C. | \[{{105}^{{}^\circ }}\] |
| D. | \[{{120}^{{}^\circ }}\] |
| Answer» D. \[{{120}^{{}^\circ }}\] | |
| 757. |
Fill in the blanks. (i) Angle forming a linear pair are P angles. (ii) The angle between the bisectors of the two acute angles of a right-angled traingle is Q. (iii) Sum of interior angles of a quadrilateral is R. |
| A. | P Q R Supplementary \[{{135}^{o}}\] \[{{360}^{o}}\] |
| B. | P Q R Complementary \[{{135}^{o}}\] \[{{720}^{o}}\] |
| C. | P Q R Supplementary \[{{90}^{o}}\] \[{{180}^{o}}\] |
| D. | P Q R Complementary \[{{90}^{o}}\] \[{{360}^{o}}\] |
| Answer» B. P Q R Complementary \[{{135}^{o}}\] \[{{720}^{o}}\] | |
| 758. |
In a right angled triangle, the square of the hypotenuse is equal to twice the product of the other two sides. Which of the following is one of the acute angles of the triangle? |
| A. | \[{{60}^{o}}\] |
| B. | \[{{45}^{o}}\] |
| C. | \[{{30}^{o}}\] |
| D. | \[{{75}^{o}}\] |
| Answer» C. \[{{30}^{o}}\] | |
| 759. |
In the given figure, \[\mathbf{PQ}\parallel \mathbf{LM}\parallel \mathbf{RS}\]. What is the value of \[\angle \mathbf{RLM}\]? |
| A. | \[{{20}^{{}^\circ }}\] |
| B. | \[{{155}^{{}^\circ }}\] |
| C. | \[{{30}^{{}^\circ }}\] |
| D. | \[{{45}^{{}^\circ }}\] |
| Answer» C. \[{{30}^{{}^\circ }}\] | |
| 760. |
Read the statements carefully and state T for true and 'F' for false. (i) Two lines parallel to the same line are parallel to one another. (ii) If two lines parallel to each other are intersected by a transversal, then corresponding angles are equal. (iii) If two parallel lines are intersected by a transversal then alternate angles are equal. |
| A. | (i) (ii) (iii) T F F |
| B. | (i) (ii) (iii) T F T |
| C. | (i) (ii) (iii) T T F |
| D. | (i) (ii) (iii) T T T |
| Answer» E. | |
| 761. |
In the given figure, if\[PQ||RS,\,\,\angle PAB={{70}^{o}}\]and\[\angle ACS={{110}^{o}}\], find the measure of\[\angle BAC\]. |
| A. | \[{{40}^{o}}\] |
| B. | \[{{70}^{o}}\] |
| C. | \[{{110}^{o}}\] |
| D. | \[{{30}^{o}}\] |
| Answer» B. \[{{70}^{o}}\] | |
| 762. |
\[\mathbf{PQ}\parallel \mathbf{RS}\], as shown in the figure. Find the value of x. |
| A. | \[{{90}^{{}^\circ }}\] |
| B. | \[{{80}^{{}^\circ }}\] |
| C. | \[{{100}^{{}^\circ }}\] |
| D. | \[{{150}^{{}^\circ }}\] |
| Answer» D. \[{{150}^{{}^\circ }}\] | |
| 763. |
In the given figure, the value of y is ____. |
| A. | \[{{24}^{o}}\] |
| B. | \[{{22}^{o}}\] |
| C. | \[{{20}^{o}}\] |
| D. | \[{{10}^{o}}\] |
| Answer» D. \[{{10}^{o}}\] | |
| 764. |
\[\angle ABC\]and\[\angle BDC\] are right angles. If\[AD=9\,\,cm\], \[DC=16\,\,cm\] and\[AB=15\,\,cm\], find length of\[BD\]. |
| A. | \[12\,\,cm\] |
| B. | \[16\,\,cm\] |
| C. | \[15\,\,cm\] |
| D. | \[25\,\,cm\] |
| Answer» B. \[16\,\,cm\] | |
| 765. |
In the given figure if parallel lines, EF, GFL, IJ are intersected by transversals. \[l\]and m. Where \[\mathbf{EG}=\mathbf{3}\text{ }\mathbf{cm},\mathbf{GI}=\mathbf{2}\text{ }\mathbf{cm},\text{ }\mathbf{FH}=\mathbf{6}\]cm, then HJ is |
| A. | 8 cm |
| B. | 9cm |
| C. | 12cm |
| D. | 4cm |
| Answer» E. | |
| 766. |
If the angles of a triangle are in the ratio 2:3:4, then the triangle formed will be |
| A. | right angled triangle |
| B. | isosceles triangle |
| C. | scalene triangle |
| D. | obtuse angled triangle |
| Answer» D. obtuse angled triangle | |
| 767. |
In the given figure, \[\mathbf{AB}\parallel \mathbf{DE}\]. Find \[\mathbf{a{}^\circ }+\mathbf{b{}^\circ }-\mathbf{c{}^\circ }.\] |
| A. | \[{{160}^{{}^\circ }}\] |
| B. | \[{{120}^{{}^\circ }}\] |
| C. | \[{{180}^{{}^\circ }}\] |
| D. | \[{{210}^{{}^\circ }}\] |
| Answer» D. \[{{210}^{{}^\circ }}\] | |
| 768. |
From the given figure, if\[AB||DE\], what is the value of\[{{x}^{o}}\]? |
| A. | \[{{25}^{o}}\] |
| B. | \[{{35}^{o}}\] |
| C. | \[{{45}^{o}}\] |
| D. | \[{{55}^{o}}\] |
| Answer» C. \[{{45}^{o}}\] | |
| 769. |
In the adjoining figure, A \[A\mathbf{B}\parallel \mathbf{DE}.\]\[\angle \mathbf{ABC}=\mathbf{5}{{\mathbf{7}}^{{}^\circ }}\]and\[\angle \mathbf{EDC}=\mathbf{3}{{\mathbf{3}}^{{}^\circ }}.\]Find\[\angle \mathbf{BCD}\] |
| A. | \[{{90}^{{}^\circ }}\] |
| B. | \[{{50}^{{}^\circ }}\] |
| C. | \[{{80}^{{}^\circ }}\] |
| D. | \[{{105}^{{}^\circ }}\] |
| Answer» B. \[{{50}^{{}^\circ }}\] | |
| 770. |
If \[AB||CD,\]then \[x\] and y respectively are_____. |
| A. | \[{{40}^{o}},\,\,{{30}^{o}}\] |
| B. | \[{{50}^{o}},\,\,{{77}^{o}}\] |
| C. | \[{{30}^{o}},\,\,{{45}^{o}}\] |
| D. | \[{{90}^{o}},\,\,{{30}^{o}}\] |
| Answer» C. \[{{30}^{o}},\,\,{{45}^{o}}\] | |
| 771. |
In the adjoining figure, \[\mathbf{AB}\parallel \mathbf{CD}\] and PQ, QR intersect AB and CD both at E, F and G, H respectively. Given that \[\angle \mathbf{PEB}=\mathbf{7}{{\mathbf{0}}^{{}^\circ }},\]\[\angle \mathbf{QHD}=\mathbf{13}{{\mathbf{0}}^{{}^\circ }}\]and \[\angle \,\mathbf{PQR=x}{}^\circ ,\] find the value of \[{{\mathbf{x}}^{{}^\circ }}\]. |
| A. | \[{{40}^{{}^\circ }}\] |
| B. | \[{{10}^{{}^\circ }}\] |
| C. | \[{{20}^{{}^\circ }}\] |
| D. | \[{{30}^{{}^\circ }}\] |
| Answer» D. \[{{30}^{{}^\circ }}\] | |
| 772. |
If two complementary angles are in the ratio 4:5, then the angles are ____. |
| A. | \[{{50}^{o}},\,\,{{45}^{o}}\] |
| B. | \[{{40}^{o}},\,\,{{50}^{o}}\] |
| C. | \[{{25}^{o}},\,\,{{55}^{o}}\] |
| D. | \[{{35}^{o}},\,\,{{45}^{o}}\] |
| Answer» C. \[{{25}^{o}},\,\,{{55}^{o}}\] | |
| 773. |
In the adjoining figure, \[AM\bot BC\] and\[AN\] is the bisector of\[\angle BAC\]. If \[\angle B={{70}^{o}}\] and\[\angle C={{35}^{o}}\], find\[\angle MAN\]. |
| A. | \[{{17.5}^{o}}\] |
| B. | \[{{27.5}^{o}}\] |
| C. | \[{{37.5}^{o}}\] |
| D. | \[{{47.5}^{o}}\] |
| Answer» B. \[{{27.5}^{o}}\] | |
| 774. |
In the adjoining figure, \[\mathbf{AE}\parallel \mathbf{CD}\] and \[\mathbf{BC}\parallel \mathbf{ED}\], then y = ? |
| A. | \[{{60}^{{}^\circ }}\] |
| B. | \[{{70}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{75}^{{}^\circ }}\] |
| Answer» C. \[{{90}^{{}^\circ }}\] | |
| 775. |
In the figure, \[AB=AC,\,\,CH=CB\] and\[HK||BC\]. If the exterior angle \[CAX\] is\[{{140}^{o}}\], find the measure of the angle\[HCK\]. |
| A. | \[{{45}^{o}}\] |
| B. | \[{{55}^{o}}\] |
| C. | \[{{50}^{o}}\] |
| D. | |
| Answer» E. | |
| 776. |
In the given figure, \[\mathbf{AB}\parallel \mathbf{GH}\parallel \mathbf{DE}\] and\[\mathbf{GF}\parallel \mathbf{BD}\parallel \mathbf{HI},\] \[\angle \mathbf{FGC}=\mathbf{10}{{\mathbf{0}}^{{}^\circ }}\]. Find the value of \[\angle \mathbf{CHL}\] |
| A. | \[{{80}^{{}^\circ }}\] |
| B. | \[{{120}^{{}^\circ }}\] |
| C. | \[{{100}^{{}^\circ }}\] |
| D. | \[{{160}^{{}^\circ }}\] |
| Answer» D. \[{{160}^{{}^\circ }}\] | |
| 777. |
In the given figure, \[AB||CD.\]Find the value of \[x.\] |
| A. | \[{{189}^{o}}\] |
| B. | \[{{215}^{o}}\] |
| C. | \[{{285}^{o}}\] |
| D. | \[{{280}^{o}}\] |
| Answer» D. \[{{280}^{o}}\] | |
| 778. |
Two parallel lines AB and CD are intersected by a transversal line EF at M and N respectively. The lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal. Then \[\angle \,\mathbf{MPN}\] is equal to: |
| A. | \[{{90}^{{}^\circ }}\] |
| B. | \[{{45}^{{}^\circ }}\] |
| C. | \[{{135}^{{}^\circ }}\] |
| D. | \[{{60}^{{}^\circ }}\] |
| Answer» B. \[{{45}^{{}^\circ }}\] | |
| 779. |
The angles which differ by \[{{38}^{o}}\] and are complementary to each other, are |
| A. | \[{{38}^{o}},\,\,{{52}^{o}}\] |
| B. | \[{{71}^{o}},\,\,{{109}^{o}}\] |
| C. | \[{{26}^{o}},\,\,{{154}^{o}}\] |
| D. | \[{{64}^{o}},\,\,{{26}^{o}}\] |
| Answer» E. | |
| 780. |
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio\[2:3\], what is the smaller of the two angles? |
| A. | \[{{72}^{o}}\] |
| B. | \[{{108}^{o}}\] |
| C. | \[{{54}^{o}}\] |
| D. | \[{{36}^{o}}\] |
| Answer» B. \[{{108}^{o}}\] | |
| 781. |
In the given figure, if \[\mathbf{EC}\parallel \mathbf{AB},\]\[\angle \mathbf{ECD}=\mathbf{6}{{\mathbf{5}}^{{}^\circ }},\] \[\angle \mathbf{BDO}=\mathbf{2}{{\mathbf{5}}^{{}^\circ }}\], then \[\angle \mathbf{OBD}\] is to: |
| A. | \[{{40}^{{}^\circ }}\] |
| B. | \[{{65}^{{}^\circ }}\] |
| C. | \[{{115}^{{}^\circ }}\] |
| D. | \[{{70}^{{}^\circ }}\] |
| Answer» B. \[{{65}^{{}^\circ }}\] | |
| 782. |
In the given figure,\[AB||CD.\]Then the value of \[x\]is ____. |
| A. | \[{{25}^{o}}\] |
| B. | \[{{30}^{o}}\] |
| C. | \[{{45}^{o}}\] |
| D. | \[{{50}^{o}}\] |
| Answer» E. | |
| 783. |
In\[\Delta PQR\], the angle bisectors of \[\angle PQR\] and \[\angle PRQ\] meet at\[O\]. Ifs\[\angle QPR={{80}^{o}}\], find the measure of\[\angle QOR\]. |
| A. | \[{{80}^{o}}\] |
| B. | \[{{130}^{o}}\] |
| C. | \[{{100}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» C. \[{{100}^{o}}\] | |
| 784. |
In the given figure, \[\mathbf{AB}\parallel \mathbf{CD}\]. Then what is the value of x? |
| A. | \[{{140}^{{}^\circ }}\] |
| B. | \[{{45}^{{}^\circ }}\] |
| C. | \[{{120}^{{}^\circ }}\] |
| D. | \[{{75}^{{}^\circ }}\] |
| Answer» B. \[{{45}^{{}^\circ }}\] | |
| 785. |
In the given figure, \[\angle PAQ\]is equal to |
| A. | \[{{45}^{o}}\] |
| B. | \[{{100}^{o}}\] |
| C. | \[{{35}^{o}}\] |
| D. | None of these |
| Answer» C. \[{{35}^{o}}\] | |
| 786. |
In the given figure, what is the value of\[\angle A+\angle B+\angle C+\angle D+\angle E+\angle F\]? |
| A. | \[{{360}^{o}}\] |
| B. | \[{{270}^{o}}\] |
| C. | \[{{540}^{o}}\] |
| D. | \[{{180}^{o}}\] |
| Answer» B. \[{{270}^{o}}\] | |
| 787. |
AB and CD are two parallel lines. The points B and C are joined such that\[\angle \mathbf{ABC}=\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\]. A line CE is drawn making angle of \[\mathbf{40}{}^\circ \] with the line CB, EF is drawn parallel to AB. As show in figure then \[\angle \mathbf{CEF}\] is equal to: |
| A. | \[{{160}^{{}^\circ }}\] |
| B. | \[{{150}^{{}^\circ }}\] |
| C. | \[{{120}^{{}^\circ }}\] |
| D. | \[{{135}^{{}^\circ }}\] |
| Answer» B. \[{{150}^{{}^\circ }}\] | |
| 788. |
The value of \[x,\]in the given triangle is _____. |
| A. | \[{{4}^{o}}\] |
| B. | \[{{5}^{o}}\] |
| C. | \[{{6}^{o}}\] |
| D. | \[{{8}^{o}}\] |
| Answer» D. \[{{8}^{o}}\] | |
| 789. |
From the figure, find\[x\]if\[AB||CD\]. |
| A. | \[{{45}^{o}}\] |
| B. | \[{{55}^{o}}\] |
| C. | \[{{60}^{o}}\] |
| D. | \[{{70}^{o}}\] |
| Answer» C. \[{{60}^{o}}\] | |
| 790. |
AB and CD are two parallel lines. PQ cuts AB and CD at E and F respectively. EL is the bisector of\[\angle \mathbf{FEB}\]. If \[\angle \mathbf{LEB}=\mathbf{5}{{\mathbf{5}}^{{}^\circ }}\]; then \[\angle \mathbf{DFQ}\] is equal to |
| A. | \[{{110}^{{}^\circ }}\] |
| B. | \[{{100}^{{}^\circ }}\] |
| C. | \[{{115}^{{}^\circ }}\] |
| D. | \[{{105}^{{}^\circ }}\] |
| Answer» B. \[{{100}^{{}^\circ }}\] | |
| 791. |
Two parallel lines are cut by a transversal then which of the following is true? (I) Pair of alternate interior angles are same. (II) Pair of corresponding angles are same. (III) Pair of interior angles on the same side of the transversal are complementary. |
| A. | I, II, III are true |
| B. | I, II are true |
| C. | I, II are true |
| D. | II, III are true |
| Answer» C. I, II are true | |
| 792. |
In the given figure. If \[\mathbf{PQ}\parallel \mathbf{RS},\mathbf{ZQPT}=\mathbf{11}{{\mathbf{5}}^{{}^\circ }}\] and \[\angle \mathbf{PTR}=\mathbf{1}{{\mathbf{5}}^{{}^\circ }}\], then \[\angle \mathbf{SRT}\] is equal to: |
| A. | \[{{145}^{{}^\circ }}\] |
| B. | \[{{150}^{{}^\circ }}\] |
| C. | \[{{135}^{{}^\circ }}\] |
| D. | \[{{100}^{{}^\circ }}\] |
| Answer» D. \[{{100}^{{}^\circ }}\] | |
| 793. |
In the given figure, lines XY and MN intersect at O. If \[\angle POY={{90}^{o}}\]and a : b = 2:3, then \[\angle XON\]is equal to ____. |
| A. | \[{{126}^{o}}\] |
| B. | \[{{130}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{180}^{o}}\] |
| Answer» B. \[{{130}^{o}}\] | |
| 794. |
From the given figure, find the value of\[x\]. |
| A. | \[{{60}^{o}}\] |
| B. | \[{{75}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{120}^{o}}\] |
| Answer» E. | |
| 795. |
Compute the value of x in the given figure if AB || DC, |
| A. | \[{{88}^{{}^\circ }}\] |
| B. | \[{{48}^{{}^\circ }}\] |
| C. | \[{{118}^{{}^\circ }}\] |
| D. | \[{{108}^{{}^\circ }}\] |
| Answer» B. \[{{48}^{{}^\circ }}\] | |
| 796. |
In the given figure, \[\mathbf{AB}\parallel \mathbf{DC}\]. If \[\mathbf{x=}\frac{\mathbf{4}}{\mathbf{3}}\mathbf{y}\] and \[\mathbf{y=}\frac{\mathbf{3}}{\mathbf{5}}\mathbf{z}\], find the values of y. |
| A. | \[{{45}^{{}^\circ }}\] |
| B. | \[{{44}^{{}^\circ }}\] |
| C. | \[{{36}^{{}^\circ }}\] |
| D. | \[{{40}^{{}^\circ }}\] |
| Answer» B. \[{{44}^{{}^\circ }}\] | |
| 797. |
In the given figure, find the value of \[\angle EOD.\] |
| A. | \[{{25}^{o}}\] |
| B. | \[{{70}^{o}}\] |
| C. | \[{{80}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» E. | |
| 798. |
The measure of an angle is four times the measure of its supplement. Identify the angles. |
| A. | \[{{36}^{o}},\,\,{{144}^{o}}\] |
| B. | \[{{40}^{o}},\,\,{{160}^{o}}\] |
| C. | \[{{18}^{o}},\,\,{{72}^{o}}\] |
| D. | \[{{50}^{o}},\,\,{{200}^{o}}\] |
| Answer» B. \[{{40}^{o}},\,\,{{160}^{o}}\] | |
| 799. |
If (2, 0) is a solution of the linear equation \[2x+3y=k,\] then the value of k is ____. |
| A. | 4 |
| B. | 6 |
| C. | 5 |
| D. | 2 |
| Answer» B. 6 | |
| 800. |
Which is the equation of a line passing through the origin? |
| A. | \[y=2\] |
| B. | \[x=4\] |
| C. | \[y=5x\] |
| D. | \[x=-7\] |
| Answer» D. \[x=-7\] | |