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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.
| 151. |
DIRECTIONS(Qs. 53 - 55):Read the following passages and answer the questions that follow. PASSAGE - 1 MissNeha asked the children in her class, 'What is your favourite colour?' Herresults are shown on the bar chart. What is the mode of the distribution? |
| A. | Green |
| B. | Blue |
| C. | Red |
| D. | Yellow |
| Answer» C. Red | |
| 152. |
Which of the following outcome is/are unlikely? You will not get reservation in the train due to heavy Dusshera rush. (ii) Your friend will go to moon next month. (iii) There will be floods in Delhi during March next year. |
| A. | only (i) and (ii) |
| B. | only (ii) and (iii) |
| C. | only (i) and (iii) |
| D. | All three outcomes |
| Answer» C. only (i) and (iii) | |
| 153. |
In the given figure the value of \[\mathbf{cot}\theta \]is |
| A. | \[\frac{2ab}{{{a}^{2}}-{{b}^{2}}}\] |
| B. | \[\frac{2ab}{{{a}^{2}}+{{b}^{2}}}\] |
| C. | \[\frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}\] |
| D. | \[\frac{{{a}^{2}}+{{b}^{2}}}{2ab}\] |
| Answer» B. \[\frac{2ab}{{{a}^{2}}+{{b}^{2}}}\] | |
| 154. |
If AD is bisector of \[\angle A\]and D is perpendicular to BC. Then AABC is ___ triangle. |
| A. | Isosceles |
| B. | Equilateral |
| C. | Scalene |
| D. | None of these |
| Answer» B. Equilateral | |
| 155. |
A room is 10 m long, 6 m wide and 3 m high. It has four windows, each measuring \[\mathbf{2 m\times ~1 m}\]and a door of dimensions\[\mathbf{3}\text{ }\mathbf{m\times 1}.\mathbf{5}\text{ }\mathbf{m}\]. If the interior walls are to be coloured and a painter charges Rs. 3.25 per sq m, then the cost of colouring is Rs._________ |
| A. | 251.375 |
| B. | 261.375 |
| C. | 271.375 |
| D. | 270.375 |
| E. | None of these |
| Answer» D. 270.375 | |
| 156. |
Distance: Consider the mortality table given below:Age (in years)Number of persons surviving out of a sample of one million60173846112560629008635980644050652730The probability that a person 'aged 62' will live for 3 years is ________ |
| A. | \[\frac{1365}{4504}\] |
| B. | \[\frac{6278}{2730}\] |
| C. | \[\frac{2730}{6278}\] |
| D. | \[\frac{1}{4}\] |
| E. | None of these |
| Answer» B. \[\frac{6278}{2730}\] | |
| 157. |
On a particular day, the rain fall recorded on a terrace 6 m long and 5 m broad is 15 cm. Find the quantity of water collected on the terrace. |
| A. | 300 litres |
| B. | 450 litres |
| C. | 3000 litres |
| D. | 4500 litres |
| Answer» E. | |
| 158. |
If x + y varies directly with x - y, then which one of the following is true? |
| A. | x and y vary directly |
| B. | \[{{x}^{2}}+\text{ }{{y}^{2}}\] and \[{{x}^{2}}-\text{ }{{y}^{2}}\] vary directly |
| C. | Both A and B |
| D. | \[{{x}^{2}}+\text{ }{{y}^{2}}\] and \[{{x}^{2}}-\text{ }{{y}^{2}}\] vary indirectly |
| E. | None of these |
| Answer» D. \[{{x}^{2}}+\text{ }{{y}^{2}}\] and \[{{x}^{2}}-\text{ }{{y}^{2}}\] vary indirectly | |
| 159. |
An exterior angle of a triangle is \[{{180}^{o}}\] and one of the interior opposite angles is\[{{30}^{o}}\]. Find the other two angles of the triangle. |
| A. | \[{{80}^{o}},\,\,{{70}^{o}}\] |
| B. | \[{{70}^{o}},\,\,{{40}^{o}}\] |
| C. | \[{{110}^{o}},\,\,{{40}^{o}}\] |
| D. | \[{{110}^{o}},\,\,{{75}^{o}}\] |
| Answer» B. \[{{70}^{o}},\,\,{{40}^{o}}\] | |
| 160. |
How many bricks, each measuring \[25\,cm\times 11.25\text{ }cm\times 6\text{ }cm,\] will be needed to build a wall \[8\,m\,\times 6\,m\,\times 22.5\,cm?\] |
| A. | 5600 |
| B. | 6000 |
| C. | 6400 |
| D. | 7200 |
| Answer» D. 7200 | |
| 161. |
The number of potatoes growing on each of 100 potato plants were recorded and summarized in the table below Number of passengers 0-2 3-5 6-8 9-11 12-14 15-17 Frequency 7 11 25 40 15 2 What is the mean number of potatoes per plant? |
| A. | 7.53 |
| B. | 9.12 |
| C. | 8.53 |
| D. | 5.83 |
| Answer» D. 5.83 | |
| 162. |
A cylinder has 'r' as the radius of the base and 'V as the height. The radius of base of another cylinder, having triple the volume but the same height as that of the first cylinder must be equal to |
| A. | \[\frac{r}{\sqrt{2}}\] |
| B. | 2r |
| C. | \[r\sqrt{3}\] |
| D. | \[\sqrt{2r}\] |
| Answer» D. \[\sqrt{2r}\] | |
| 163. |
A hemispherical bowl is made of steel of 0.25 cm thickness. The inner radius of the bowl is 5 cm. Find the volume of steel used. |
| A. | \[42.15c{{m}^{3}}\] |
| B. | \[41.52c{{m}^{3}}\] |
| C. | \[41.28\,c{{m}^{3}}\] |
| D. | \[45.21\text{ }c{{m}^{3}}\] |
| Answer» D. \[45.21\text{ }c{{m}^{3}}\] | |
| 164. |
One card is selected from a well shuffled deck of cards. The probability that it is a red jack is ________ |
| A. | \[\frac{2}{13}\text{ }\] |
| B. | \[\frac{1}{52}\text{ }\] |
| C. | \[\frac{1}{26}\text{ }\] |
| D. | \[\frac{1}{13}\text{ }\] |
| E. | None of these |
| Answer» D. \[\frac{1}{13}\text{ }\] | |
| 165. |
The following bar graph shows the production of foodgrains in an Indian state during the five consecutive years: Read the bargraph carefully and answer the following questions: After which year was there a sudden fall in the production? |
| A. | From graph, you find that there was a sudden fall in the production after the year 2005. |
| B. | From graph /you find that there was a sudden fall in the production after the year 2006. |
| C. | From graph, you find that there was a sudden fall in the production after the year 2007. |
| D. | From graph, you find that there was a sudden fall in the production after the year 2008. |
| E. | None of these |
| Answer» D. From graph, you find that there was a sudden fall in the production after the year 2008. | |
| 166. |
If the mean of x and 1/x is M, then the mean of \[{{x}^{2}}\] and s\[1/{{x}^{2}}\] is |
| A. | \[{{M}^{2}}\] |
| B. | \[{{M}^{2}}/4\] |
| C. | \[2{{M}^{2}}-1\] |
| D. | \[2{{M}^{2}}+1\] |
| Answer» D. \[2{{M}^{2}}+1\] | |
| 167. |
Two coins are tossed 500 times the outcomes are recorded as below: No. of tails 0 1 2 Frequency 120 175 205 Based on this information, the probability for at least 1 tail is _________ |
| A. | \[\frac{1}{25}\] |
| B. | \[\frac{17}{25}\] |
| C. | \[\frac{18}{25}\] |
| D. | \[\frac{19}{25}\] |
| E. | None of these |
| Answer» E. None of these | |
| 168. |
Direction: Study the bar diagram given below carefully and answer the following questions based on it. The Birth rate of Australia is how many times than the birth rate of Japan? |
| A. | 2 times |
| B. | 2.5 times |
| C. | 3 times |
| D. | 1.5 times |
| Answer» E. | |
| 169. |
In the figure given below AB = 7 cm BC = 8 cm CA = 5 cm. The radius of circles are______. |
| A. | 2cm, 4cm and 5cm |
| B. | 1cm, 3cm and 7cm |
| C. | 2cm, 5cm and 3cm |
| D. | 1cm, 3cm and 4cm |
| E. | None of these |
| Answer» D. 1cm, 3cm and 4cm | |
| 170. |
If the mean of 6, y, 7, 14 and\[x\]is 8. Then, the value of \[x+y\]is ____. |
| A. | 13 |
| B. | 12 |
| C. | 10 |
| D. | 15 |
| Answer» B. 12 | |
| 171. |
The product \[\mathbf{cos}\,{{\mathbf{1}}^{^{\mathbf{o}}}}\mathbf{cos}{{\mathbf{2}}^{\mathbf{o}}}\mathbf{cos}{{\mathbf{3}}^{\mathbf{o}}}\mathbf{cos}{{\mathbf{4}}^{\mathbf{o}}}.....\mathbf{cos18}{{\mathbf{0}}^{\mathbf{o}}}\]is equal to |
| A. | \[-1\] |
| B. | \[\frac{1}{4}\] |
| C. | 1 |
| D. | 0 |
| Answer» E. | |
| 172. |
The average age of a group of eight members of a club is the same as it was 3 years ago, when a young member is substituted for an old member? The incoming member is younger to the outgoing member by |
| A. | 11 years |
| B. | 24 years |
| C. | 28 years |
| D. | 16 years |
| Answer» C. 28 years | |
| 173. |
The length of the longest pole that can be put in a room of dimensions \[(\mathbf{12}\text{ }\mathbf{ft}\text{ }\times \text{ }\mathbf{9}\text{ }\mathbf{ft}\text{ }\times \text{ }\mathbf{8}\text{ }\mathbf{ft})\]is |
| A. | 18 ft |
| B. | 9 ft |
| C. | 15 ft |
| D. | 17 ft |
| E. | None of these |
| Answer» E. None of these | |
| 174. |
In a \[\Delta \mathbf{ABC},\overline{\mathbf{AD}},\overline{\mathbf{BE}}\], and \[\overline{\mathbf{CF}}\] are three medians. Then the ratio \[\left( {{\overline{\mathbf{AD}}}^{\mathbf{2}}}\mathbf{+}{{\overline{\mathbf{BE}}}^{\mathbf{2}}}\mathbf{+}{{\overline{\mathbf{CF}}}^{\mathbf{2}}} \right)\mathbf{:}\]\[\left( {{\overline{\mathbf{AB}}}^{\mathbf{2}}}\mathbf{+}{{\overline{\mathbf{AC}}}^{\mathbf{2}}}\mathbf{+}{{\overline{\mathbf{BC}}}^{\mathbf{2}}} \right)\] is |
| A. | Equal to \[\frac{3}{4}\] |
| B. | Equal to 1 |
| C. | Greater than \[\frac{3}{4}\] |
| D. | Equal to \[\frac{1}{2}\] |
| Answer» B. Equal to 1 | |
| 175. |
"You will be a year younger next year". The event is |
| A. | likely |
| B. | certain |
| C. | impossible |
| D. | having an even chance |
| Answer» D. having an even chance | |
| 176. |
A cardboard sheet in the form of a circular sector of radius 20 cm and central angle\[\mathbf{10}{{\mathbf{8}}^{{}^\circ }}\] is folded to make a cone. What is the radius of the cone? |
| A. | 6 cm |
| B. | 18 cm |
| C. | 21 cm |
| D. | 4 cm |
| Answer» B. 18 cm | |
| 177. |
A right cylinder just encloses a sphere of radius r as shown in the given figure. What is the ratio of surface area of sphere and curved surface area of the cylinder? |
| A. | 2 : 1 |
| B. | 1 : 3 |
| C. | \[1:\sqrt{2}\] |
| D. | 1 : 1 |
| Answer» E. | |
| 178. |
A right triangle ABC with its sides 5 cm, 12 cm, and 13 cm is revolved about the side 12 cm. Find the volume of the solid so formed. |
| A. | \[59\text{ }\pi \,c{{m}^{2}}\] |
| B. | \[5\pi c{{m}^{2}}\] |
| C. | \[100\pi c{{m}^{2}}\] |
| D. | \[120\pi c{{m}^{2}}\] |
| Answer» D. \[120\pi c{{m}^{2}}\] | |
| 179. |
Directions: In the following questions, the symbols @, ©, , % and # are used with the following meanings illustrated.'p@q' means 'p is neither smaller than nor equal to q'. 'p#q' means 'p is not smaller than q'.'p©q' means 'p is not greater than q'.'p%q' means 'p is neither greater than nor equal to q'.'pq' means 'p is neither smaller than nor greater than q'In each of the following questions assuming the given statements to be true, find out which of the three conclusions I, II and III given below is/are definitely true.Statements: M#W, WN, N@BConclusions: I. NM II. N%M III. M@B |
| A. | Only either I or II |
| B. | Only either I or III |
| C. | Only either I or II and III |
| D. | Only III |
| E. | None of these |
| Answer» D. Only III | |
| 180. |
If each edge of a cube, of volume, V, is doubled, find the volume of the new cube. |
| A. | 2V |
| B. | 4V |
| C. | 6V |
| D. | 8V |
| Answer» E. | |
| 181. |
DIRECTION(Qs. 46 - 50):Study the following graph carefully and answer the questions based on it. Productionof rose in various states Which of the following state(s) contribute(s) less than 10 per cent in the total rose production? |
| A. | Only Rajasthan |
| B. | Rajasthan, Kama taka |
| C. | Rajasthan, Kama taka, Haryana |
| D. | Rajasthan, Kama taka, Haryana and Gujarat |
| Answer» D. Rajasthan, Kama taka, Haryana and Gujarat | |
| 182. |
The mean age of 6 person is increased by 4 years if one of them whose age is 26 years is replaced by new man then the age of new man is: |
| A. | 50 years |
| B. | 30 years |
| C. | 32 years |
| D. | 34 years |
| E. | None of these |
| Answer» B. 30 years | |
| 183. |
DIRECTION(Qs. 1 - 3): Readthe graph carefully and answer the following question. Highest marks are scored in the subject |
| A. | English |
| B. | Hindi |
| C. | Maths |
| D. | None of these |
| Answer» D. None of these | |
| 184. |
A randomly selected sample of small businessman was asked the following question. How many full time employees are there in your businesses? After obtaining their replies, the results are shown in the bar chart alongside. What percentage of the businessman had five or more full time employees? |
| A. | 44.2% |
| B. | 26% |
| C. | 21.5% |
| D. | 24.5% |
| Answer» B. 26% | |
| 185. |
In a class test, in Mathematics, 10 students scored 75 marks, 12 students scored 60 marks, 8 students scored 40 marks and 3 students scored 30 marks. The mean of their score is (approximately) ____. |
| A. | 57 marks |
| B. | 56 marks |
| C. | 15 marks |
| D. | 54 marks |
| Answer» B. 56 marks | |
| 186. |
A small village, having a population of 5000, requires 75 litres of water per head per day. The village has got an overhead tank of measurement \[40\,m\times 25\,m\times 15\text{ }m.\] For how many days will the water of this tank last? |
| A. | 30 days |
| B. | 32 days |
| C. | 40 days |
| D. | 45 days |
| Answer» D. 45 days | |
| 187. |
The cost price of 15 articles is same to the selling price of 10 articles. So, the percent is ________ |
| A. | 50% |
| B. | 30% |
| C. | 25% |
| D. | 1 |
| E. | None of these |
| Answer» B. 30% | |
| 188. |
Find the diameter of a heavenly bodies, if it subtend an angle of 31' at the eye of person. The distance between earth and the heavenly body is 3, 8400 km. |
| A. | 346km |
| B. | 34.64km |
| C. | 34.64km |
| D. | 346, km |
| E. | None of these |
| Answer» C. 34.64km | |
| 189. |
Average of 10 number is 15. Average of first six number is 20 and that of least five number is 18. What is the sixth number? |
| A. | 60 |
| B. | 70 |
| C. | 50 |
| D. | 85 |
| Answer» B. 70 | |
| 190. |
The mean marks (out of 100) of boys and girls in an examination are 64 and 80 respectively. If the mean marks of all the students in that examination is 73, then the ratio of the number of girls to the number of boys is ________ |
| A. | 8 : 9 |
| B. | 0.379861111111111 |
| C. | 4 : 1 |
| D. | 0.128472222222222 |
| E. | None of these |
| Answer» C. 4 : 1 | |
| 191. |
For the observations 21, 5, 8, 15, 52, 68, 45, x, 48, y, 18, 9. Which of the following will not change? (Where x lies between 20 and 30 and y lies between 30 and 40) Quartile deviation. Mean, Median, Range |
| A. | Quartile deviation |
| B. | Mean |
| C. | Median |
| D. | Range |
| E. | None of these |
| Answer» E. None of these | |
| 192. |
It is not possible to construct a triangle with which of the following sides? |
| A. | \[8.3\,\,cm,\,\,3.4\,\,cm,\,\,6.1\,\,cm\] |
| B. | \[5.4\,\,cm,\,\,2.3\,\,cm,\,\,3.1\,\,cm\] |
| C. | \[6\,\,cm,\,\,7\,\,cm,\,\,10\,\,cm\] |
| D. | \[3\,\,cm,\,\,5\,\,cm,\,\,5\,\,cm\] |
| Answer» C. \[6\,\,cm,\,\,7\,\,cm,\,\,10\,\,cm\] | |
| 193. |
What is the length of the longest pole that can be put in a room of dimensions\[10\,m\times 10\,m\times 5\,m?\] |
| A. | 15 m |
| B. | 16 m |
| C. | 10 m |
| D. | 12 m |
| Answer» B. 16 m | |
| 194. |
When Ahmed walked through a shopping mall. He recorded the number of customers in each shop. The data is displayed in a dot plot. What percentage of shops had at least 4 customers? |
| A. | 25% |
| B. | 48% |
| C. | 33% |
| D. | 44% |
| Answer» C. 33% | |
| 195. |
If a, b, c are three consecutive odd numbers, then their mean is |
| A. | b |
| B. | d |
| C. | e |
| D. | c |
| Answer» B. d | |
| 196. |
If \[tan(x+y)=\sqrt{3}\] and \[\mathbf{tan}\left( \mathbf{x}-\mathbf{y} \right)=\frac{1}{\sqrt{3}},\]\[\angle \mathbf{x}+\angle \mathbf{y} |
| A. | \[{{90}^{{}^\circ }}\] |
| B. | \[{{30}^{{}^\circ }}\] |
| C. | \[{{45}^{{}^\circ }}\] |
| D. | \[{{60}^{{}^\circ }}\] |
| Answer» D. \[{{60}^{{}^\circ }}\] | |
| 197. |
The value of \[\left( \mathbf{l}+\mathbf{sec4}{{\mathbf{0}}^{{}^\circ }}-\mathbf{cot5}{{\mathbf{0}}^{{}^\circ }} \right)\]\[\left( \mathbf{l}-\mathbf{cosec4}{{\mathbf{0}}^{{}^\circ }}+\mathbf{tan5}{{\mathbf{0}}^{{}^\circ }} \right)\] is equal to |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | -1 |
| Answer» D. -1 | |
| 198. |
Value of \[\frac{{{\sin }^{2}}\theta -2{{\sin }^{4}}\theta }{2{{\cos }^{4}}\theta -{{\cos }^{2}}\theta }-\mathbf{se}{{\mathbf{c}}^{\mathbf{2}}}\theta \] is |
| A. | 1 |
| B. | 2 |
| C. | -1 |
| D. | 0 |
| Answer» D. 0 | |
| 199. |
DIRECTIONS(Qs. 41 - 45): Studythe chart and given the answer of following questions. Selling of thecar in UK according to the colors 50% of all the cars consisted of which colours of car? |
| A. | Black, Golden, Blue, Red |
| B. | Blue, Black, Red, Silver |
| C. | White, Golden, Blue, Black |
| D. | White, Blue, Green, Black |
| Answer» D. White, Blue, Green, Black | |
| 200. |
What is the median of (lie dam given below? |
| A. | 5 |
| B. | 4 |
| C. | 6 |
| D. | 3 |
| Answer» E. | |