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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.
| 701. |
Evaluate: \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{4}}}\mathbf{3\times lo}{{\mathbf{g}}_{\mathbf{27}}}\mathbf{64}\] |
| A. | \[\frac{1}{2}\] |
| B. | \[\frac{2}{3}\] |
| C. | 1 |
| D. | \[\frac{1}{3}\] |
| Answer» D. \[\frac{1}{3}\] | |
| 702. |
Expansion of \[\mathbf{log}{{\mathbf{~}}_{\mathbf{3}}}\left( \frac{\mathbf{27}{{\mathbf{x}}^{\mathbf{3}}}}{\mathbf{5}} \right)\] equals to E, then \[\frac{\mathbf{E}}{\mathbf{3}}\] is ________ |
| A. | \[1+{{\log }_{3}}x-\frac{1}{3}{{\log }_{3}}5\] |
| B. | \[3+3\text{ }{{\log }_{3}}x+{{\log }_{3}}5\] |
| C. | \[1+\text{lo}{{\text{g}}_{3}}x+\text{lo}{{\text{g}}_{3}}5\] |
| D. | \[{{\log }_{3}}x+\frac{1}{3}\text{lo}{{\text{g}}_{3}}5\] |
| E. | None of these |
| Answer» B. \[3+3\text{ }{{\log }_{3}}x+{{\log }_{3}}5\] | |
| 703. |
In the given figure,\[\angle APO={{42}^{o}}\]and \[\angle CQO={{38}^{o}}.\]Find the value of\[\angle POQ.\] |
| A. | \[{{68}^{o}}\] |
| B. | \[{{72}^{o}}\] |
| C. | \[{{80}^{o}}\] |
| D. | \[{{126}^{o}}\] |
| Answer» D. \[{{126}^{o}}\] | |
| 704. |
In the figure, the bisectors of \[B\] and \[C\] meet at\[O\]. Find the measure of\[\angle BOC\]. |
| A. | \[{{90}^{o}}+\frac{1}{2}\angle A\] |
| B. | \[{{90}^{o}}+\frac{1}{2}\angle B\] |
| C. | \[{{90}^{o}}+\frac{1}{2}\angle C\] |
| D. | \[{{90}^{o}}+\angle A\] |
| Answer» B. \[{{90}^{o}}+\frac{1}{2}\angle B\] | |
| 705. |
In the given figure, \[BO\] and \[CO\] are angle bisectors of external angles of\[\Delta ABC\]. Find\[\angle BOC\]. |
| A. | \[{{90}^{o}}-\frac{1}{2}\angle A\] |
| B. | \[{{90}^{o}}+\frac{1}{2}\angle A\] |
| C. | \[{{180}^{o}}-\frac{1}{2}\angle A\] |
| D. | \[{{180}^{o}}+\frac{1}{2}\angle A\] |
| Answer» B. \[{{90}^{o}}+\frac{1}{2}\angle A\] | |
| 706. |
P and Q are points on the opposite sides of a straight line AB. If O is a point on AB such that\[\angle \mathbf{AOP}=\angle \mathbf{BOQ}\], then which one of the following is correct? |
| A. | \[\angle AOQ<\angle BOP\] |
| B. | \[\angle AOQ>\angle BOP\] |
| C. | \[\angle AOP={{180}^{{}^\circ }}-\angle AOQ\] |
| D. | \[\angle AOP={{90}^{{}^\circ }}-\angle AOQ\] |
| Answer» D. \[\angle AOP={{90}^{{}^\circ }}-\angle AOQ\] | |
| 707. |
In the figure, \[AB||\,CD.\]If \[x-\frac{4}{3}y\]and \[y=\frac{3}{8}z,\]find the values of \[x,y\]and z respectively. |
| A. | \[{{30}^{o}},\,\,{{45}^{o}},\,\,86\] |
| B. | \[{{48}^{o}},\,\,{{36}^{o}},\,\,96\] |
| C. | \[{{48}^{o}},\,\,{{36}^{o}},\,\,{{90}^{o}}\] |
| D. | \[{{36}^{o}},\,\,{{45}^{o}},\,\,{{96}^{o}}\] |
| Answer» C. \[{{48}^{o}},\,\,{{36}^{o}},\,\,{{90}^{o}}\] | |
| 708. |
The sides \[BC,\,\,CA\] and \[AB\] of \[\Delta ABC\] are produced in order to form exterior angles\[\angle ACD,\,\,\angle BAE\]and\[\angle CBF\]. Find\[\angle ACD+\angle BAE+\angle CBF\]. |
| A. | \[{{180}^{o}}\] |
| B. | \[{{270}^{o}}\] |
| C. | \[{{360}^{o}}\] |
| D. | \[{{540}^{o}}\] |
| Answer» D. \[{{540}^{o}}\] | |
| 709. |
In the figure, \[\mathbf{AB}\parallel \mathbf{CD}.\]If \[\angle \mathbf{EAB}=\mathbf{4}{{\mathbf{5}}^{{}^\circ }}\]and \[\angle \mathbf{ECD}=\mathbf{5}{{\mathbf{5}}^{{}^\circ }}\], then \[\angle \mathbf{AEB}=\]? |
| A. | \[{{50}^{{}^\circ }}\] |
| B. | \[{{60}^{{}^\circ }}\] |
| C. | \[{{80}^{{}^\circ }}\] |
| D. | \[{{55}^{{}^\circ }}\] |
| Answer» D. \[{{55}^{{}^\circ }}\] | |
| 710. |
In the given figure,\[AB||CD\]and PQ, QR intersects AB and CD both at E, F and G, H respectively. Find the value of\[x.\] |
| A. | \[{{40}^{o}}\] |
| B. | \[{{20}^{o}}\] |
| C. | \[{{100}^{o}}\] |
| D. | \[{{30}^{o}}\] |
| Answer» C. \[{{100}^{o}}\] | |
| 711. |
In\[\Delta ABC\]\[,\]\[\angle A=\frac{\angle B}{2}=\frac{\angle C}{6}\]. Find the measure of measure of\[\angle A\]. |
| A. | \[{{60}^{o}}\] |
| B. | \[{{30}^{o}}\] |
| C. | \[{{40}^{o}}\] |
| D. | \[{{20}^{o}}\] |
| Answer» E. | |
| 712. |
In the figure given, what are the values of \[\angle b,\,\,\angle c\] and\[\angle a\]respectively? |
| A. | \[{{18}^{o}},\,\,{{70}^{o}}\]and\[{{92}^{o}}\] |
| B. | \[{{92}^{o}},\,\,{{70}^{o}}\]and\[{{18}^{o}}\] |
| C. | \[{{70}^{o}},\,\,{{92}^{o}}\]and\[{{18}^{o}}\] |
| D. | \[{{70}^{o}},\,\,{{18}^{o}}\]and\[{{92}^{o}}\] |
| Answer» D. \[{{70}^{o}},\,\,{{18}^{o}}\]and\[{{92}^{o}}\] | |
| 713. |
In the given figure\[,\]\[AB||CD\] . What is the value of\['q'\]? |
| A. | \[{{120}^{o}}\] |
| B. | \[{{65}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{110}^{o}}\] |
| Answer» E. | |
| 714. |
In the given figure, \[PQ||RS\] and\[EF||QS\]. If\[\angle Q={{60}^{o}}\], find the measure of\[\angle REF\]. |
| A. | \[{{115}^{o}}\] |
| B. | \[{{120}^{o}}\] |
| C. | \[{{60}^{o}}\] |
| D. | \[{{180}^{o}}\] |
| Answer» C. \[{{60}^{o}}\] | |
| 715. |
If \[\mathbf{AB}\parallel \mathbf{CD},\mathbf{EF}\parallel \mathbf{GH}\], then the value of a, b, c. |
| A. | \[a={{114}^{{}^\circ }},b={{46}^{{}^\circ }},c={{114}^{{}^\circ }}\] |
| B. | \[a={{104}^{{}^\circ }},b={{56}^{{}^\circ }},c={{114}^{{}^\circ }}\] |
| C. | \[a={{114}^{{}^\circ }},b={{26}^{{}^\circ }},c={{154}^{{}^\circ }}\] |
| D. | \[a={{94}^{{}^\circ }},b={{46}^{{}^\circ }},c={{54}^{{}^\circ }}\] |
| Answer» B. \[a={{104}^{{}^\circ }},b={{56}^{{}^\circ }},c={{114}^{{}^\circ }}\] | |
| 716. |
The measure of an angle is four times the measure of its supplementary angle. Then the angle is ____. |
| A. | \[{{36}^{o}}\] |
| B. | \[{{144}^{o}}\] |
| C. | \[{{180}^{o}}\] |
| D. | \[{{72}^{o}}\] |
| Answer» C. \[{{180}^{o}}\] | |
| 717. |
If\[OP\]is a ray standing on a line\[QR\]such that\[\angle POQ=\angle POR\], what is the measure of\[\angle POQ\] |
| A. | \[{{45}^{o}}\] |
| B. | \[{{60}^{o}}\] |
| C. | \[{{75}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» E. | |
| 718. |
In the given figure, if\[PQ||RS\], find the measure of\[m\]. |
| A. | \[{{110}^{o}}\] |
| B. | \[{{100}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{137}^{o}}\] |
| Answer» B. \[{{100}^{o}}\] | |
| 719. |
In the given figure, if\[AC||ED\], find the degree measure of\[x\]. |
| A. | \[{{55}^{o}}\] |
| B. | \[{{70}^{o}}\] |
| C. | \[{{45}^{o}}\] |
| D. | \[{{60}^{o}}\] |
| Answer» D. \[{{60}^{o}}\] | |
| 720. |
In the given figure,\[AB||CD\]and\[\angle F={{30}^{o}}\]. Find\[\angle ECD\] |
| A. | \[{{55}^{o}}\] |
| B. | \[{{70}^{o}}\] |
| C. | \[{{45}^{o}}\] |
| D. | \[{{60}^{o}}\] |
| Answer» D. \[{{60}^{o}}\] | |
| 721. |
In the given figure, if \[AB||CD\] is parallel to the line segment\[CD\], what is the value of\[y\]? |
| A. | \[12\] |
| B. | \[15\] |
| C. | \[18\] |
| D. | \[20\] |
| Answer» E. | |
| 722. |
In the given figure,\[PQ||RS\]\[,\]\[\angle QPR={{70}^{o}}\]\[\angle ROT={{20}^{o}}\], find the value of\[x\] |
| A. | \[{{20}^{o}}\] |
| B. | \[{{70}^{o}}\] |
| C. | \[{{110}^{o}}\] |
| D. | \[{{50}^{o}}\] |
| Answer» E. | |
| 723. |
In the given figure, if \[{{l}_{1}}||{{l}_{2}}\] and\[{{l}_{3}}||{{l}_{4}}\], what is \[y\] in terms of\[x\]? |
| A. | \[{{90}^{o}}+x\] |
| B. | \[{{90}^{o}}+2x\] |
| C. | \[{{90}^{o}}-\frac{x}{2}\] |
| D. | \[{{90}^{o}}-2x\] |
| Answer» D. \[{{90}^{o}}-2x\] | |
| 724. |
In the given figure\[,\]\[OP||RS\]. Determine\[\angle PQR\] |
| A. | \[{{75}^{o}}\] |
| B. | \[{{50}^{o}}\] |
| C. | \[{{40}^{o}}\] |
| D. | \[{{60}^{o}}\] |
| Answer» E. | |
| 725. |
In the given figure if \[{{l}_{1}}||{{l}_{2}}\] what is \[x+y\] in terms of \[{{w}^{o}}\] and\[{{z}^{o}}\]? |
| A. | \[{{180}^{o}}-{{w}^{o}}+{{z}^{o}}\] |
| B. | \[{{180}^{o}}+{{w}^{o}}-{{z}^{o}}\] |
| C. | \[{{180}^{o}}-{{w}^{o}}-{{z}^{o}}\] |
| D. | \[{{180}^{o}}+{{w}^{o}}+{{z}^{o}}\] |
| Answer» B. \[{{180}^{o}}+{{w}^{o}}-{{z}^{o}}\] | |
| 726. |
In the given figure \[\mathbf{AB}\parallel \mathbf{CD}\parallel \mathbf{EF}\]. If \[\mathbf{5x}=\mathbf{4y}\] and \[\mathbf{z}=\mathbf{y}+\mathbf{10}\], then the value of w is |
| A. | \[{{60}^{{}^\circ }}\] |
| B. | \[{{50}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{70}^{{}^\circ }}\] |
| Answer» E. | |
| 727. |
In figure, if \[AB||CD,CD||EF\]and \[y:z=4:5,\]then find the value of\[x.\] |
| A. | \[{{100}^{o}}\] |
| B. | \[{{76}^{o}}\] |
| C. | \[{{82}^{o}}\] |
| D. | \[{{122}^{o}}\] |
| Answer» B. \[{{76}^{o}}\] | |
| 728. |
From the figure given, if\[\angle POR\]and\[\angle QOR\]from a linear pair and\[a-b={{40}^{o}}\], what are the respective values of\[a\]and\[b\]? |
| A. | \[{{110}^{o}},\,\,{{70}^{o}}\] |
| B. | \[{{70}^{o}},\,\,{{100}^{o}}\] |
| C. | \[{{80}^{o}},\,\,{{120}^{o}}\] |
| D. | \[{{120}^{o}},\,\,{{80}^{o}}\] |
| Answer» B. \[{{70}^{o}},\,\,{{100}^{o}}\] | |
| 729. |
In the given figure,\[AB||CD\]and\[EF||DQ\]. Determine\[\angle PQR\]. |
| A. | \[{{78}^{o}}\] |
| B. | \[{{68}^{o}}\] |
| C. | \[{{34}^{o}}\] |
| D. | \[{{54}^{o}}\] |
| Answer» C. \[{{34}^{o}}\] | |
| 730. |
In the given figure, which two lines are parallel? |
| A. | \[l,\,\,m\] |
| B. | \[l,\,\,n\] |
| C. | \[m,\,\,n\] |
| D. | \[n,\,\,p\] |
| Answer» D. \[n,\,\,p\] | |
| 731. |
In the given figure\[PQ||RS,\,\,\angle AEF={{95}^{o}}\],\[\angle BHS={{110}^{o}}\] and\[\angle ABC={{x}^{o}}\]. Find the value of\[x\]. |
| A. | \[{{15}^{o}}\] |
| B. | \[{{25}^{o}}\] |
| C. | \[{{70}^{o}}\] |
| D. | \[{{35}^{o}}\] |
| Answer» C. \[{{70}^{o}}\] | |
| 732. |
In the given figure, if\[AB||PQ,\,\,PR||BC\], and\[\angle QPR={{102}^{o}}\], determine\[\angle ABC\]. |
| A. | \[{{102}^{o}}\] |
| B. | \[{{180}^{o}}\] |
| C. | \[{{78}^{o}}\] |
| D. | \[{{120}^{o}}\] |
| Answer» D. \[{{120}^{o}}\] | |
| 733. |
In the given figure, if\[{{l}_{1}}||{{l}_{2}}\], what is the value of\[x\]? |
| A. | \[{{37}^{o}}\] |
| B. | \[{{57}^{o}}\] |
| C. | \[{{95}^{o}}\] |
| D. | \[{{85}^{o}}\] |
| Answer» E. | |
| 734. |
In the given figure, find the value of\[x\]. |
| A. | \[{{12}^{o}}\] |
| B. | \[{{15}^{o}}\] |
| C. | \[{{20}^{o}}\] |
| D. | \[{{30}^{o}}\] |
| Answer» D. \[{{30}^{o}}\] | |
| 735. |
In the given figure, \[AB||CD||EF\] and\[GH||KL\]. Find the measure of\[\angle HKL\]. |
| A. | \[{{85}^{o}}\] |
| B. | \[{{135}^{o}}\] |
| C. | \[{{145}^{o}}\] |
| D. | \[{{215}^{o}}\] |
| Answer» D. \[{{215}^{o}}\] | |
| 736. |
In the given figure, identify the pair of parallel lines. |
| A. | \[AB||EF\] |
| B. | \[BC||CF\] |
| C. | \[EF||BC\] |
| D. | \[EF||CE\] |
| Answer» B. \[BC||CF\] | |
| 737. |
Two straight lines \[AB\] and \[CD\] intersect one another at point\[O\]. If\[\angle AOC+\] \[\angle COB+\]\[\angle BOD={{274}^{o}}\], find\[\angle AOD\]. |
| A. | \[{{86}^{o}}\] |
| B. | \[{{90}^{o}}\] |
| C. | \[{{94}^{o}}\] |
| D. | \[{{137}^{o}}\] |
| Answer» B. \[{{90}^{o}}\] | |
| 738. |
Consider the following statements. Which of the given statements is correct? |
| A. | (i) and (iii) only |
| B. | (ii) and (iii) only |
| C. | (i) and (iv) only |
| D. | (ii) and (iv) only |
| Answer» C. (i) and (iv) only | |
| 739. |
In the given figure \[\ell \parallel m\parallel \mathbf{n}\] and transversals a and b through A intersects them at A, M, K, N, L. If AN = 6 cm, NL = 24 cm , KM = 32 cm, then the length of intercept AM is |
| A. | 8 cm |
| B. | 6 cm |
| C. | 12 cm |
| D. | 10 cm |
| Answer» B. 6 cm | |
| 740. |
In the given figure, if \[CE||BA,\]then the value of \[\angle ACB\]is |
| A. | \[{{60}^{o}}\] |
| B. | \[{{55}^{o}}\] |
| C. | \[{{70}^{o}}\] |
| D. | \[{{90}^{o}}\] |
| Answer» C. \[{{70}^{o}}\] | |
| 741. |
From the given figure, find the value of \[{{y}^{o}}\] when\[{{x}^{o}}={{30}^{o}}\]. |
| A. | \[{{25}^{o}}\] |
| B. | \[{{24}^{o}}\] |
| C. | \[{{36}^{o}}\] |
| D. | \[{{45}^{o}}\] |
| Answer» C. \[{{36}^{o}}\] | |
| 742. |
In the given figure,\[\mathbf{AB}\parallel \mathbf{DC},\]\[\angle \mathbf{BAD}=\mathbf{9}{{\mathbf{0}}^{{}^\circ }},\]\[\angle \mathbf{CBD}=\mathbf{3}{{\mathbf{8}}^{{}^\circ }}\]and\[\angle \mathbf{BCE}=\mathbf{7}{{\mathbf{5}}^{{}^\circ }}\]. Then \[\angle \mathbf{ABD}\] = ? |
| A. | \[{{32}^{{}^\circ }}\] |
| B. | \[{{37}^{{}^\circ }}\] |
| C. | \[{{34}^{{}^\circ }}\] |
| D. | \[{{35}^{{}^\circ }}\] |
| Answer» C. \[{{34}^{{}^\circ }}\] | |
| 743. |
\[A,\,\,B\] and \[C\] are the three angles of a triangle. If \[A-B={{15}^{o}}\] and\[B-C={{30}^{o}}\], find \[\angle A,\,\,\angle B\] and\[\angle C\]. |
| A. | \[{{80}^{o}},\,\,{{65}^{o}},\,\,{{35}^{o}}\] |
| B. | \[{{65}^{o}},\,\,{{80}^{o}},\,\,{{35}^{o}}\] |
| C. | \[{{35}^{o}},\,\,{{80}^{o}},\,\,{{65}^{o}}\] |
| D. | \[{{80}^{o}},\,\,{{35}^{o}},\,\,{{65}^{o}}\] |
| Answer» B. \[{{65}^{o}},\,\,{{80}^{o}},\,\,{{35}^{o}}\] | |
| 744. |
In the given figure, \[\angle \mathbf{OAB}=\mathbf{6}{{\mathbf{5}}^{{}^\circ }},\]\[\angle \mathbf{OBA}=\mathbf{4}{{\mathbf{5}}^{{}^\circ }}\] and \[\angle \mathbf{OCD}=\mathbf{10}{{\mathbf{0}}^{{}^\circ }}\]. Then \[\angle \mathbf{ODC}\] =? |
| A. | \[{{20}^{{}^\circ }}\] |
| B. | \[{{10}^{{}^\circ }}\] |
| C. | \[{{30}^{{}^\circ }}\] |
| D. | \[{{25}^{{}^\circ }}\] |
| Answer» C. \[{{30}^{{}^\circ }}\] | |
| 745. |
In a\[\Delta ABC\], if \[2\angle A=3\angle B=6\angle C\]\[,\] find the measures of\[\angle A,\,\,\angle B\]and\[\angle C\]. |
| A. | \[{{30}^{o}},\,\,{{60}^{o}},\,\,{{90}^{o}}\] |
| B. | \[{{90}^{o}},\,\,{{60}^{o}},\,\,{{30}^{o}}\] |
| C. | \[{{30}^{o}},\,\,{{90}^{o}},\,\,{{60}^{o}}\] |
| D. | \[{{45}^{o}},\,\,{{90}^{o}},\,\,{{45}^{o}}\] |
| Answer» C. \[{{30}^{o}},\,\,{{90}^{o}},\,\,{{60}^{o}}\] | |
| 746. |
\[\mathbf{AB}\parallel \mathbf{CD},\angle \mathbf{ABO}=\mathbf{12}{{\mathbf{8}}^{{}^\circ }},\angle \mathbf{BOD}=\mathbf{14}{{\mathbf{2}}^{{}^\circ }}\], Then, \[\angle \mathbf{ODC}\] = ? |
| A. | \[{{100}^{{}^\circ }}\] |
| B. | \[{{80}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{88}^{{}^\circ }}\] |
| Answer» D. \[{{88}^{{}^\circ }}\] | |
| 747. |
In the given figure which of the following statements must be true? |
| A. | (i) only |
| B. | (ii) only |
| C. | (iii) only |
| D. | (ii) and (iii) only |
| Answer» E. | |
| 748. |
In the given figure,\[\mathbf{AB}\parallel \mathbf{CD}\] and \[\mathbf{EF}\parallel \mathbf{DQ}\]. The value of \[\angle \mathbf{DEF}\] is: |
| A. | \[{{68}^{{}^\circ }}\] |
| B. | \[{{78}^{{}^\circ }}\] |
| C. | \[{{44}^{{}^\circ }}\] |
| D. | \[{{100}^{{}^\circ }}\] |
| Answer» B. \[{{78}^{{}^\circ }}\] | |
| 749. |
In\[\Delta ABC\], if \[\angle A={{45}^{o}}\] and\[\angle B={{70}^{o}}\], find the shortest and the largest sides of the triangle respectively. |
| A. | \[AB,\,\,BC\] |
| B. | \[BC,\,\,AC\] |
| C. | \[AB,\,\,AC\] |
| D. | Either (a) or (c) |
| Answer» C. \[AB,\,\,AC\] | |
| 750. |
In the given figure, \[\mathbf{XY}\parallel \mathbf{PQ}\], then the value of x is: |
| A. | \[{{75}^{{}^\circ }}\] |
| B. | \[{{35}^{{}^\circ }}\] |
| C. | \[{{65}^{{}^\circ }}\] |
| D. | \[{{45}^{{}^\circ }}\] |
| Answer» D. \[{{45}^{{}^\circ }}\] | |