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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.
| 1851. |
A man plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apples trees in each row. The number of rows is: |
| A. | 124 |
| B. | 126 |
| C. | 134 |
| D. | 144 |
| Answer» B. 126 | |
| 1852. |
Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps? |
| A. | 25 m 20 cm |
| B. | 50 m 40 cm |
| C. | 75 m 60 cm |
| D. | 100 m 80 cm |
| Answer» B. 50 m 40 cm | |
| 1853. |
The LCM of two numbers is 280 and their ratio is \[7:8\]. The numbers |
| A. | 70, 80 |
| B. | 54, 68 |
| C. | 35, 40 |
| D. | 28, 36 |
| Answer» D. 28, 36 | |
| 1854. |
If\[x=2.\overline{3}-0.\overline{9},\,y=2.\overline{5}-0.\overline{5},\]then \[{{x}^{2}}+{{y}^{2}}-2xy\] is |
| A. | \[\frac{1}{4}\] |
| B. | \[\frac{1}{3}\] |
| C. | \[\frac{1}{2}\] |
| D. | \[\frac{1}{5}\] |
| Answer» B. \[\frac{1}{3}\] | |
| 1855. |
If \[\mathbf{A}={{\mathbf{2}}^{x}},\mathbf{B}={{\mathbf{4}}^{\mathbf{y}}},\mathbf{C}={{\mathbf{8}}^{z}}\], where \[\mathbf{x}=0.\overline{1},\mathbf{y}=\mathbf{0}.\overline{\mathbf{4}},\mathbf{z}=\mathbf{0}.\overline{\mathbf{6}}\], then \[\mathbf{A}\times \mathbf{B}\times \mathbf{C}\]is |
| A. | 8 |
| B. | 2 |
| C. | 16 |
| D. | 4 |
| Answer» B. 2 | |
| 1856. |
\[\mathbf{1}.\mathbf{272727}=\mathbf{1}.\overline{\mathbf{27}}\]can be expressed in the form \[\frac{p}{q}\], where p and q are integers an\[\mathbf{q}\ne 0\] than it is equal to |
| A. | \[\frac{106}{99}\] |
| B. | \[\frac{127}{99}\] |
| C. | \[\frac{14}{11}\] |
| D. | \[\frac{27}{99}\] |
| Answer» D. \[\frac{27}{99}\] | |
| 1857. |
An iron pillar has some part in the form of a right circular cylinder and the remaining in the form of a right circular cone (as shown in the figure). The radius of the Base of each of the cones and the cylinder is 8 cm. The cylindrical part is 240 cm high and the conical part is 36 cm high. Find the weight of the pillar, if the density of iron is. |
| A. | 563.02kg |
| B. | 999.93kg |
| C. | 380.16kg |
| D. | 9595.63kg |
| Answer» D. 9595.63kg | |
| 1858. |
For a trapezium parallel sides (in metres) are 11 and 25 and non - parallel sides (in metres) are 15 and 13, The area (in sq. m.) of the trapezium is: |
| A. | 84 |
| B. | 512 |
| C. | 432 |
| D. | 216 |
| Answer» E. | |
| 1859. |
If the ratio of the areas of two squares is 9 : 1, then the ratio of their perimeters is: |
| A. | \[9:1\] |
| B. | \[3:4\] |
| C. | \[3:1\] |
| D. | \[1:3\] |
| Answer» D. \[1:3\] | |
| 1860. |
The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot Rs.26.50 per metre is Rs.5300, then what is the length of the plot in metres? |
| A. | 40 |
| B. | 120 |
| C. | 50 |
| D. | 60 |
| Answer» E. | |
| 1861. |
The sides of a triangle are: 25 m, 60 m and 65 m, its area is: |
| A. | 790 sq. m |
| B. | 850 sq. m |
| C. | 750 sq. m |
| D. | 600 sq. m |
| Answer» D. 600 sq. m | |
| 1862. |
If the side of an equilateral triangle is 7 metres; its area (in sq. m.) is: |
| A. | 19. 2 |
| B. | 21.22 |
| C. | 20. 4 |
| D. | 25 |
| Answer» C. 20. 4 | |
| 1863. |
The value of is: |
| A. | 0 |
| B. | 1 |
| C. | a |
| D. | ab |
| Answer» C. a | |
| 1864. |
If , then is equal to; |
| A. | 16 |
| B. | 64 |
| C. | 128 |
| D. | 256 |
| Answer» E. | |
| 1865. |
If , then what is the value of log 0.0005? |
| A. | 3.302 |
| B. | 1 |
| C. | -3.301 |
| D. | 0.5 |
| Answer» D. 0.5 | |
| 1866. |
What is the value of\[[lo{{g}_{12}}(10)]/[lo{{g}_{144}}(10)]\]? |
| A. | \[\frac{1}{2}\] |
| B. | 2 |
| C. | 1 |
| D. | \[lo{{g}_{10}}13\] |
| Answer» C. 1 | |
| 1867. |
What is the value of \[\left( \frac{1}{2}1o{{g}_{10}}25-2lo{{g}_{10}}4+lo{{g}_{10}}32+lo{{g}_{10}}1 \right)\]? |
| A. | 0 |
| B. | \[\frac{1}{5}\] |
| C. | 1 |
| D. | \[\frac{2}{5}\] |
| Answer» D. \[\frac{2}{5}\] | |
| 1868. |
What is the value of \[\frac{1}{2}lo{{g}_{10}}36-21o{{g}_{10}}3+lo{{g}_{10}}15?\] |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 0 |
| Answer» D. 0 | |
| 1869. |
The value\[\sqrt{\mathbf{3}\sqrt{\mathbf{3}\sqrt{\mathbf{3}......}}}\mathbf{+log}\sqrt{\mathbf{7}\sqrt{\mathbf{7}\sqrt{\mathbf{7}......}}}\] is equal to _______ |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | log 21 |
| Answer» E. | |
| 1870. |
\[\frac{\log \sqrt[3]{6}}{\log 6}\]is equal to: |
| A. | \[\frac{1}{\sqrt{8}}\] |
| B. | \[\frac{1}{4}\] |
| C. | \[\frac{1}{3}\] |
| D. | \[\frac{1}{8}\] |
| Answer» D. \[\frac{1}{8}\] | |
| 1871. |
The value of log, 81 is equal to: |
| A. | \[-27\] |
| B. | \[-4\] |
| C. | 4 |
| D. | 27 |
| Answer» C. 4 | |
| 1872. |
The angles of a triangle are\[(x+{{10}^{o}}),\,\,(x+{{40}^{o}})\]and\[(2x-{{30}^{o}})\]. What is the value of\[x\]? |
| A. | \[{{30}^{o}}\] |
| B. | \[{{40}^{o}}\] |
| C. | \[{{20}^{o}}\] |
| D. | \[{{10}^{o}}\] |
| Answer» C. \[{{20}^{o}}\] | |
| 1873. |
In the figure given, what is the value of \[x\] if\[AB||CD\]? |
| A. | \[{{80}^{o}}\] |
| B. | \[{{88}^{o}}\] |
| C. | \[{{90}^{o}}\] |
| D. | \[{{98}^{o}}\] |
| Answer» E. | |
| 1874. |
In the given figure, if OCD is an isosceles triangle in which OD and OC are equal, then what will be the value of \[\angle OCD?\] |
| A. | \[{{70}^{o}}\] |
| B. | \[{{50}^{o}}\] |
| C. | \[{{65}^{o}}\] |
| D. | \[{{45}^{o}}\] |
| Answer» D. \[{{45}^{o}}\] | |
| 1875. |
From the figure given, find the value of\[x\], if\[BC||ED\] |
| A. | \[{{85}^{o}}\] |
| B. | \[{{90}^{o}}\] |
| C. | \[{{95}^{o}}\] |
| D. | \[{{80}^{o}}\] |
| Answer» D. \[{{80}^{o}}\] | |
| 1876. |
Statement (i):and. Statement (ii): Pair of equation in statement (i) is inconsistent because it has infinite number of solution. |
| A. | Statement (i) and (ii) are correct |
| B. | Statement (i) is correct and (ii) is not a correct explanation of (i) |
| C. | Data is insufficient |
| D. | Statement (ii) is incorrect |
| Answer» E. | |
| 1877. |
A man is five times as old as his son. After \[2\] years the man will be four times as old as his son. What is the present age of the man? |
| A. | \[35\]years |
| B. | \[30\]years |
| C. | \[6\]years |
| D. | \[31\]years |
| Answer» D. \[31\]years | |
| 1878. |
The numerical value of \[\frac{1}{1+{{\cot }^{2}}\theta }+\frac{4}{1+{{\tan }^{2}}\theta }+\mathbf{3si}{{\mathbf{n}}^{\mathbf{2}}}\theta \] will be |
| A. | 2 |
| B. | 5 |
| C. | 6 |
| D. | 4 |
| Answer» E. | |
| 1879. |
If \[\left( \mathbf{1}+\mathbf{sinx} \right)\left( \mathbf{l}+\mathbf{siny} \right)\left( \mathbf{l}+\mathbf{sinz} \right)\]\[=\left( \mathbf{l}-\mathbf{sinx} \right)\left( \mathbf{l}-\mathbf{siny} \right)\left( \mathbf{l}-\mathbf{sinz} \right)\] then each side is equal to |
| A. | \[\pm cosx\text{ }cosy\text{ }cosz\] |
| B. | \[\pm \sin x\,\sin y\,sinz\] |
| C. | \[\pm sinx\text{ }cosy\text{ }cosz\] |
| D. | \[\pm \sin x\,siny\,cosz\] |
| Answer» B. \[\pm \sin x\,\sin y\,sinz\] | |
| 1880. |
The simplified value of \[\left( \mathbf{secx}\,\mathbf{secy}+\mathbf{tanx}\,\mathbf{tany} \right)-\left( \mathbf{secx}\,\mathbf{tany}+\mathbf{tanx}\,\mathbf{secy} \right)\] is |
| A. | \[-1\] |
| B. | 0 |
| C. | \[se{{c}^{2}}x\] |
| D. | 1 |
| Answer» E. | |
| 1881. |
\[\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}{{\mathbf{6}}^{{}^\circ }}+\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}{{\mathbf{6}}^{{}^\circ }}+.......+\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{8}{{\mathbf{4}}^{{}^\circ }}+\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}\mathbf{8}{{\mathbf{5}}^{{}^\circ }}=\]? |
| A. | \[39\frac{1}{2}\] |
| B. | \[40\frac{1}{2}\] |
| C. | 40 |
| D. | \[49\frac{1}{\sqrt{2}}\] |
| Answer» C. 40 | |
| 1882. |
The value of \[\tan 4{}^\circ .\tan 43{}^\circ .\tan 47{}^\circ .\tan 86{}^\circ \]is |
| A. | 2 |
| B. | 3 |
| C. | 1 |
| D. | 4 |
| Answer» D. 4 | |
| 1883. |
In the given figure, tan P. cot R =? |
| A. | 1 |
| B. | 0 |
| C. | \[\frac{25}{144}\] |
| D. | \[\frac{144}{25}\] |
| Answer» D. \[\frac{144}{25}\] | |
| 1884. |
In the given figure, \[\mathbf{PS}=\mathbf{SQ}\], then \[\mathbf{sin}\theta =\]? |
| A. | \[\frac{4{{Q}^{2}}-3{{p}^{2}}}{p}\] |
| B. | \[\frac{p}{4{{Q}^{2}}-3{{p}^{2}}}\] |
| C. | \[\frac{\sqrt{4{{Q}^{2}}-3{{p}^{2}}}}{p}\] |
| D. | 1 |
| Answer» C. \[\frac{\sqrt{4{{Q}^{2}}-3{{p}^{2}}}}{p}\] | |
| 1885. |
In given figure what is the value of \[\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}\theta -\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}\theta \]? |
| A. | \[\frac{841}{41}\] |
| B. | 0 |
| C. | 1 |
| D. | \[\frac{41}{841}\] |
| Answer» E. | |
| 1886. |
Match the column Column I Column II A \[\cos ec({{90}^{{}^\circ }}-A)\] P Tan A B \[\cot ({{90}^{{}^\circ }}-A)\] Q Sec A C \[\tan ({{90}^{{}^\circ }}-A)\] R Cosec A D \[\sec ({{90}^{{}^\circ }}-A)\] S Cot A |
| A. | (A-Q, B-P, C-S, D-R) |
| B. | (A-P, B-Q, C-S, D-R) |
| C. | (A-P, B-Q, C-R, D-S) |
| D. | (A-R, B-S, C-P, D-Q) |
| Answer» B. (A-P, B-Q, C-S, D-R) | |
| 1887. |
If \[\mathbf{2}\beta \,\mathbf{sin}\theta =\alpha \,\mathbf{cos}\theta \] and \[\mathbf{2}\alpha \,\mathbf{cosec}\theta -\beta \,\mathbf{sec}\theta =\mathbf{3}\] then what is the value of\[\left( {{\alpha }^{\mathbf{2}}}+\mathbf{4}{{\beta }^{\mathbf{2}}} \right)\]? |
| A. | 4 |
| B. | 1 |
| C. | 2 |
| D. | 5 |
| Answer» B. 1 | |
| 1888. |
If\[\mathbf{sin}\theta -\mathbf{cos}\theta =\sqrt{2}\mathbf{sin}\left( \mathbf{9}{{\mathbf{0}}^{{}^\circ }}-\theta \right)\]then \[\mathbf{cot}\theta \]is equal to: |
| A. | \[\sqrt{2}\] |
| B. | 0 |
| C. | \[\sqrt{2}-1\] |
| D. | \[\sqrt{2}+1\] |
| Answer» D. \[\sqrt{2}+1\] | |
| 1889. |
If \[\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}\theta \text{ }+\text{ }\mathbf{cos}\text{ }\theta =\mathbf{1}\], then find the value of \[\mathbf{si}{{\mathbf{n}}^{\mathbf{4}}}\theta \text{ }+\text{ }\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}\theta \]. |
| A. | 0 |
| B. | 1 |
| C. | \[-\]1 |
| D. | \[\cos \theta \] |
| Answer» C. \[-\]1 | |
| 1890. |
If \[\mathbf{co}{{\mathbf{t}}^{\mathbf{4}}}\theta \text{ }\mathbf{-}\text{ }\mathbf{co}{{\mathbf{t}}^{\mathbf{2}}}\theta \mathbf{=1}\], then the value of \[\mathbf{co}{{\mathbf{s}}^{\mathbf{4}}}\theta \text{ }+\text{ }\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}\theta \] is _________ |
| A. | \[-\]1 |
| B. | 1 |
| C. | 0 |
| D. | 2 |
| Answer» C. 0 | |
| 1891. |
If a point \[R\] is the mid-point of a line\[MN\], which axiom states that\[MR=NR=\frac{MN}{2}\]? |
| A. | Axiom \[4\] |
| B. | Axiom \[6\] |
| C. | Axiom \[5\] |
| D. | Axiom \[7\] |
| Answer» E. | |
| 1892. |
If a point C lies between A and B, then AC + BC = ____. |
| A. | 2AB |
| B. | AB |
| C. | 2BC |
| D. | \[\frac{1}{2}AB\] |
| Answer» C. 2BC | |
| 1893. |
A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 15 cm, 14 cm and 13 cm and the parallelogram stands on the side of 15 cm, find the height of the parallelogram. |
| A. | 4.2 cm |
| B. | 5.6 cm |
| C. | 8.4 cm |
| D. | 2.1 cm |
| Answer» C. 8.4 cm | |
| 1894. |
In the shown figure, a circle with centre O and radius r is given with chords PQ and RS. Based on this information, which among the following statements is incorrect? |
| A. | If \[PQ\text{ }=\text{ }RS\] then\[\angle POQ\text{ }=\text{ }\angle ROS\]. |
| B. | If \[PQ<RS\] then PQ is nearer to the circle than RS. |
| C. | If\[PQ=\text{ }RS\], then both are equidistant from the centre of the circle 0 |
| D. | The perpendicular bisector of both the chords of the circle will pass through its centre. |
| Answer» C. If\[PQ=\text{ }RS\], then both are equidistant from the centre of the circle 0 | |
| 1895. |
The diagram shows two squares. If square I is transformed into square II by reflection what is the image of P? |
| A. | A |
| B. | B |
| C. | Q |
| D. | None of these |
| Answer» C. Q | |
| 1896. |
The coordinate of one end point of a diameter of a circle are (2, -1) and the coordinate of the centre of circle are (-4, 3) then the coordinate of other end of diameter is_____. |
| A. | (-10, 7) |
| B. | (10,-7) |
| C. | (10, 7) |
| D. | (-10,-7) |
| Answer» B. (10,-7) | |
| 1897. |
The mid-points of the sides of\[\Delta ABC\] along with any of the vertices as the fourth point make a parallelogram of area equal to |
| A. | \[\frac{1}{2}\]area\[(\Delta ABC)\] |
| B. | \[\frac{1}{3}\]area\[(\Delta ABC)\] |
| C. | \[\frac{1}{4}\]area\[(\Delta ABC)\] |
| D. | area \[(\Delta ABC)\] |
| Answer» B. \[\frac{1}{3}\]area\[(\Delta ABC)\] | |
| 1898. |
ABCD is a square. Draw a triangle QBC on side BC considering BC as base and draw a triangle PAC on AC as its base such that \[\Delta QBC\sim PAC\]. Then,\[\frac{Area\,of\,\Delta QBC}{Area\,of\ \Delta PAC}\]is equal to |
| A. | \[\frac{1}{2}\] |
| B. | \[\frac{2}{1}\] |
| C. | \[\frac{1}{3}\] |
| D. | \[\frac{2}{3}\] |
| Answer» B. \[\frac{2}{1}\] | |
| 1899. |
From any point inside an equilateral triangle, the lengths of perpendiculars 015 the sides are 'a? cm ?b? cm and ?c? cms. Its area (in\[\mathbf{c}{{\mathbf{m}}^{\mathbf{2}}}\]) is |
| A. | \[\frac{\sqrt{2}}{3}\left( a+b+c \right)\] |
| B. | \[\frac{\sqrt{3}}{3}{{\left( a+b+c \right)}^{2}}\] |
| C. | \[\frac{\sqrt{3}}{3}\left( a+b+c \right)\] |
| D. | \[\frac{\sqrt{2}}{3}{{\left( a+b+c \right)}^{2}}\] |
| Answer» C. \[\frac{\sqrt{3}}{3}\left( a+b+c \right)\] | |
| 1900. |
Match the following: A B [a] (i) [b] (ii) [c] (iii) [d] (iv) degree |
| A. | [a]-(iii) |
| B. | [b] - (iv) |
| C. | [c]-(ii) |
| D. | [d]-(i) |
| Answer» B. [b] - (iv) | |