MCQOPTIONS
Saved Bookmarks
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.
| 101. |
In the given figure, the value of \[\frac{1}{\cos e{{s}^{2}}}{{51}^{{}^\circ }}+{{\sin }^{2}}{{90}^{{}^\circ }}+{{\tan }^{2}}{{51}^{{}^\circ }}-\frac{1}{{{\sin }^{2}}{{51}^{{}^\circ }}{{\sec }^{2}}{{39}^{{}^\circ }}}\]is |
| A. | \[\sqrt{{{x}^{2}}-1}\] |
| B. | \[\sqrt{1-{{x}^{2}}}\] |
| C. | \[{{x}^{2}}-1\] |
| D. | \[1-{{x}^{2}}\] |
| Answer» D. \[1-{{x}^{2}}\] | |
| 102. |
In the given figure what is the value of\[\tan \theta \]? |
| A. | \[\frac{p}{q}\] |
| B. | \[\frac{q}{p}\] |
| C. | pq |
| D. | \[{{p}^{2}}{{q}^{2}}\] |
| Answer» C. pq | |
| 103. |
In the adjoining figure, the value of CD is |
| A. | \[\frac{200}{3}\] |
| B. | \[200\sqrt{3}\] |
| C. | \[\frac{400}{3}\] |
| D. | \[400\sqrt{3}\] |
| Answer» D. \[400\sqrt{3}\] | |
| 104. |
Direction: The following is a chart showing the temperature of a patient recorded at different times. Read the temperature chart and answer the given questions. What is the temperature of the patient at 21 hrs? |
| A. | 100°F |
| B. | 101°F |
| C. | 102°F |
| D. | 103°F |
| Answer» B. 101°F | |
| 105. |
In the given figure,\[AP\bot QR,PR>PQ\] and \[PS=PQ.\] Then |
| A. | AP = QP |
| B. | AP > AQ |
| C. | \[\angle APS>\angle APQ\] |
| D. | AR>AQ |
| Answer» E. | |
| 106. |
In the adjoining figure the value of \[\mathbf{secl}{{\mathbf{7}}^{{}^\circ }}-\mathbf{sm7}{{\mathbf{3}}^{{}^\circ }}\]is |
| A. | \[\frac{y}{x\sqrt{{{y}^{2}}-{{x}^{2}}}}\] |
| B. | \[\frac{{{x}^{2}}}{y\sqrt{{{y}^{2}}-{{x}^{2}}}}\] |
| C. | \[\frac{{{x}^{2}}}{y\sqrt{{{x}^{2}}-{{y}^{2}}}}\] |
| D. | \[\frac{{{y}^{2}}}{x\sqrt{{{x}^{2}}-{{y}^{2}}}}\] |
| Answer» C. \[\frac{{{x}^{2}}}{y\sqrt{{{x}^{2}}-{{y}^{2}}}}\] | |
| 107. |
In the given figure \[\mathbf{BC}=\mathbf{CD}\]. Then, AB is equal to |
| A. | \[20\sqrt{3}\] |
| B. | \[15\sqrt{3}\] |
| C. | \[18\sqrt{2}\] |
| D. | \[20\sqrt{2}\] |
| Answer» B. \[15\sqrt{3}\] | |
| 108. |
In the given right angles triangle XYZ. What is the value of \[\mathbf{secx}+\mathbf{tan}\text{ }\mathbf{x}\]? |
| A. | \[\frac{1}{\sqrt{6}}\] |
| B. | \[\sqrt{6}\] |
| C. | \[2\sqrt{6}\] |
| D. | \[\frac{\sqrt{6}}{2}\] |
| Answer» C. \[2\sqrt{6}\] | |
| 109. |
If a < b < 2a and median and of a, b and 2a are p respectively, then the mean of a and b is ________ |
| A. | 3q+2p |
| B. | \[\frac{3q+2p}{6}\] |
| C. | \[\frac{3q+2p}{3}\] |
| D. | \[\frac{3p+2q}{6}\] |
| E. | None of these |
| Answer» C. \[\frac{3q+2p}{3}\] | |
| 110. |
DIRECTION(Qs. 46 - 50):Study the following graph carefully and answer the questions based on it. Productionof rose in various states What is the approximate average production of roses (in thousands) across all the states? |
| A. | 21 |
| B. | 20 |
| C. | 19 |
| D. | 18 |
| Answer» E. | |
| 111. |
The value of \[\sin \theta \] in the adjoining figure is |
| A. | \[\frac{12}{5}\] |
| B. | \[\frac{12}{13}\] |
| C. | \[\frac{13}{12}\] |
| D. | \[\frac{5}{12}\] |
| Answer» C. \[\frac{13}{12}\] | |
| 112. |
Find the curved surface of a right circular cone, whose slant height and the base radius are 25 cm and 7 cm respectively. |
| A. | \[420\text{ }c{{m}^{2}}\] |
| B. | \[550\text{ }c{{m}^{2}}\] |
| C. | \[~460\text{ }c{{m}^{2}}\] |
| D. | \[~580\text{ }c{{m}^{2}}\] |
| Answer» C. \[~460\text{ }c{{m}^{2}}\] | |
| 113. |
In the given figure below, the value of \[\theta \] is |
| A. | \[{{60}^{{}^\circ }}\] |
| B. | \[{{45}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{30}^{{}^\circ }}\] |
| Answer» E. | |
| 114. |
At a Dusherra Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 25 cm filled lap to height of 24 cm with orange juice. The juice is filled in small cylindrical glasses (See figure) of radius 5 cm up to a height of 6 cm, and sold for Rs. 10 each. How much money does the stall keeper receive by selling the juice completely? |
| A. | Rs 1000 |
| B. | Rs 800 |
| C. | Rs 1200 |
| D. | Rs 900 |
| Answer» B. Rs 800 | |
| 115. |
The length of a cold storage is double its breadth. Its height is 3 metres. The area of its four walls (including doors) is 180 in."'. What is its volume? |
| A. | 210 \[c{{m}^{3}}\] |
| B. | 220 \[c{{m}^{3}}\] |
| C. | 216\[c{{m}^{3}}\] |
| D. | 250 \[c{{m}^{3}}\] |
| Answer» D. 250 \[c{{m}^{3}}\] | |
| 116. |
The table below shows the number of passengers in the car at a above in movie theatre. What is the range of given data? No. of passengers 1 2 3 4 5 6 Frequency 2 10 10 17 11 5 |
| A. | 3 |
| B. | 5 |
| C. | 4 |
| D. | 6 |
| Answer» C. 4 | |
| 117. |
Sixty people were asked. "How many times have you been in the cinema in the last twelve months? The results are given in the table alongside what is the mean of the data Number of times Frequency 0-5 19 6-10 24 11-15 10 16-20 5 21-25 2 |
| A. | 9.23 |
| B. | 6.52 |
| C. | 7.52 |
| D. | 3.56 |
| Answer» D. 3.56 | |
| 118. |
In a school, there are 40 students in which boys and girls are in the ratio 3:1. The mean age of the boys is 20 years and the mean age of the girls is 18 years. If there is increase in girls by 5 and decrease in boys by 10, then find the new average age (approx.) when the students joining or leaving doesn't change the average age of boys and girls respectively. |
| A. | 15 years |
| B. | 19 years |
| C. | 16 years |
| D. | Can't say |
| Answer» C. 16 years | |
| 119. |
If , andare the equation of sides of a triangle then the coordinate of all vertices of triangle are: |
| A. | (3, 3), (2, 4), (0, 0) |
| B. | (3, 3), (2, 2), (0, 0) |
| C. | (3, 3), (2, 4), (1, 1) |
| D. | (1, 1), (0, 0), (2, 2) |
| E. | None of these |
| Answer» B. (3, 3), (2, 2), (0, 0) | |
| 120. |
The median for the following data is : Class Mark 110 120 130 140 150 160 170 180 190 Frequency 6 25 38 45 100 75 85 39 50 |
| A. | 155.3 |
| B. | 143.3 |
| C. | 157.333 |
| D. | 175.3 |
| E. | None of these |
| Answer» D. 175.3 | |
| 121. |
In \[\Delta ABC,\] \[AB=5\,\,cm,\] \[BC=6\,\,cm\] and\[CA=7\,\,cm\]. Identify the relation between the angles. |
| A. | \[ZB>ZA>ZC\] |
| B. | \[ZA>ZB>ZC\] |
| C. | \[ZB>ZC>ZA\] |
| D. | \[ZB>ZA>ZC\] |
| Answer» B. \[ZA>ZB>ZC\] | |
| 122. |
A bus is travelling on circular track of radius 750 m at the speed of 33 km/h. The angle does it turn in 10 second _______. |
| A. | radian |
| B. | radian |
| C. | radian |
| D. | radian |
| E. | None of these |
| Answer» D. radian | |
| 123. |
A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls. The diameter of two of these are 1.5 cm and 2 cm respectively. The diameter of the third ball is ____. |
| A. | 2.66 cm |
| B. | 2.5 cm |
| C. | 3 cm |
| D. | 3.5 cm |
| Answer» C. 3 cm | |
| 124. |
Which of the following graph helps to make comparisons between two related pieces of data at the same time? |
| A. | Bar graph |
| B. | Double bar graphs |
| C. | Pictograph |
| D. | Tally chart |
| Answer» C. Pictograph | |
| 125. |
Given \['p'\] is the exterior angle of \[\Delta PQR\] and \['q+r'\] is the sum of interior angles opposite to\['p'\]. Which of the following is true? |
| A. | \[p+r=q\] |
| B. | \[p=q+r\] |
| C. | \[p+q=r\] |
| D. | \[r=q-p\] |
| Answer» C. \[p+q=r\] | |
| 126. |
The price of an article is increased by 25%. By what percentage its consumption be reduced so that the expenditure on it reduce by 15% |
| A. | 15% |
| B. | 25% |
| C. | 32% |
| D. | 28% |
| E. | None of these |
| Answer» D. 28% | |
| 127. |
A closed rectangular shed has dimensions \[\mathbf{28 m\times 14m}\]. It is inside a field. A cow is tied outside the shed at one of its corners with a 28 m rope. The area over which the cow can graze is ________ |
| A. | \[2002{{m}^{2}}\] |
| B. | \[1004{{m}^{2}}\] |
| C. | \[728{{m}^{2}}\] |
| D. | \[1992{{m}^{2}}\] |
| E. | None of these |
| Answer» B. \[1004{{m}^{2}}\] | |
| 128. |
What is the median of the following data set? |
| A. | 35 |
| B. | 37 |
| C. | 36 |
| D. | 38 |
| Answer» E. | |
| 129. |
What is the mean of the following data set? |
| A. | 5.5 |
| B. | 6.2 |
| C. | 4.5 |
| D. | 7.2 |
| Answer» E. | |
| 130. |
Find the median of the first ten prime numbers. |
| A. | 24 |
| B. | 14 |
| C. | 12 |
| D. | 22 |
| Answer» D. 22 | |
| 131. |
Directions: Study the following table and answer the questions given below. Annual income of five schools. Source of Income Schools P Q R S T Tuition Fee. 100 50 200 100 100 Term Fee 25 11 45 24 30 Donation 53 22 60 51 50 Grants 60 48 120 42 55 Miscellaneous 12 9 15 3 10 Total 250 140 440 220 245 For School Q, what per cent of the income from miscellaneous is the income from donation? |
| A. | 50% |
| B. | 40% |
| C. | 500% |
| D. | 400% |
| Answer» D. 400% | |
| 132. |
The percentage of the boys from Hindi department compared to the total number of boys from all the department together is |
| A. | \[33\frac{1}{2}\] |
| B. | 33 |
| C. | \[33\frac{1}{3}\] |
| D. | 30.3 |
| Answer» E. | |
| 133. |
Two circles of radius 8 cm and 6 cm intersect each other and the length of common chord is 10 cm. The distance between the center is____. |
| A. | 6.92cm |
| B. | 4.472cm |
| C. | 11 cm |
| D. | 11.4cm |
| E. | None of these |
| Answer» E. None of these | |
| 134. |
DIRECTIONS: Passage ? 1 Read the passages given below and answer the questions that follow. A group of students was given a math?s test. The test was completed by various students in the following time (in minutes): 18, 20, 21, 25 If the student who took 25 minutes had taken only 18 minutes to complete the test then what would have been the mean time? |
| A. | 18 minutes |
| B. | 20 minutes |
| C. | 17 minutes |
| D. | 19.25 minutes |
| Answer» E. | |
| 135. |
A bag contains 12 balls out of which x are red. If three more red balls are put in the bag the probability of drawing the red balls is twice then the value ofis: |
| A. | 2 |
| B. | 4 |
| C. | 6 |
| D. | 5 |
| E. | None of these |
| Answer» B. 4 | |
| 136. |
The mean of 6 numbers is 20. If one number is deleted, their mean is 15. Find the deleted number. |
| A. | 45 |
| B. | 52 |
| C. | 20 |
| D. | 36 |
| Answer» B. 52 | |
| 137. |
Directions: Ages of employers in an organization is distributed as follows: Age (in years) 20-29 30-39 40-49 50-59 60 & above No. of workers 42 28 14 8 4 Find the probability that the person is under 40 but over 19 years. |
| A. | \[\frac{5}{8}\] |
| B. | \[\frac{35}{48}\] |
| C. | \[\frac{35}{96}\] |
| D. | \[\frac{48}{92}\] |
| E. | None of these |
| Answer» C. \[\frac{35}{96}\] | |
| 138. |
The event of drawing a red card from a pack of blue, white and black cards is |
| A. | unlikely |
| B. | certain |
| C. | impossible |
| D. | likely |
| Answer» D. likely | |
| 139. |
The median of the following data: 36, 46, 32, 42, 33, 52, 50, 48, 56, 60, 53, 95, 75, 80, 70 is. |
| A. | 48 |
| B. | 56 |
| C. | 52 |
| D. | 60 |
| Answer» D. 60 | |
| 140. |
The mean of n observation is X. If the first item is increased by 1, seconds by 2 and so on, then the new mean is |
| A. | \[\overline{X}+n\] |
| B. | \[\overline{X}+\frac{n}{2}\] |
| C. | \[\overline{X}+\frac{n+1}{2}\] |
| D. | None of these |
| Answer» D. None of these | |
| 141. |
Mean of 11 observations is 17.5. If one observation value 15 is deleted, then the mean of remaining observations is ____. |
| A. | 15.75 |
| B. | 16.75 |
| C. | 17.75 |
| D. | 18.75 |
| Answer» D. 18.75 | |
| 142. |
Steve conducts a survey of 15 villages of locality and find out the number of teachers in each village. The observations are the following: 3, 3, 3, 2, 2,1, 2, 3, 4, 4, 4, 4, 4,1,1 Which is correct frequency table? |
| A. | Number of Teachers in a village Tally Marks Frequency 1 3 2 3 3 4 4 5 Total 15 |
| B. | Number of Teachers in a village Tally Marks Frequency 1 3 2 3 3 4 4 5 Total 15 |
| C. | Number of Teachers in a village Tally Marks Frequency 1 3 2 3 3 4 4 5 Total 15 |
| D. | Number of Teachers in a village Tally Marks Frequency 1 3 2 3 3 4 4 5 Total 15 |
| E. | None of these |
| Answer» B. Number of Teachers in a village Tally Marks Frequency 1 3 2 3 3 4 4 5 Total 15 | |
| 143. |
The respective height and volume of a cylinder and a right circular Hemisphere are equal, then the ratio of their radii is |
| A. | \[\sqrt{2}:\sqrt{3}\] |
| B. | \[\sqrt{3}:1\] |
| C. | \[\sqrt{3}:\sqrt{2}\] |
| D. | \[2:\sqrt{3}\] |
| Answer» D. \[2:\sqrt{3}\] | |
| 144. |
The base of a right pyramid is a square of side 30 cm long. If the volume of the pyramid is 4500 cm3 then its height is |
| A. | 5 cm |
| B. | 10cm |
| C. | 15 cm |
| D. | 20 cm |
| Answer» D. 20 cm | |
| 145. |
A cylinder of radius 12 cm contains water to a depth of 20 cm. A spherical iron ball is dropped into the cylinder and thus the level of water is raised by 6.75 cm. Find the radius of the ball. \[(Take\,\pi =\frac{22}{7}).\] |
| A. | 8 cm |
| B. | 9 cm |
| C. | 10 cm |
| D. | 11 cm |
| Answer» C. 10 cm | |
| 146. |
Volume of a cuboid is \[12\text{ }c{{m}^{3}}.\] Find the volume (in\[c{{m}^{3}}\]) of the cuboid if its sides are double. |
| A. | 24 |
| B. | 48 |
| C. | 72 |
| D. | 96 |
| Answer» E. | |
| 147. |
A right circular cylindrical tunnel of diameter 2 m and length 40 m is to be constructed from a sheet of iron. What is the area of the iron sheet required in\[{{m}^{2}}\]? |
| A. | \[40\pi \] |
| B. | \[60\pi \] |
| C. | \[80\pi \] |
| D. | \[100\pi \] |
| Answer» D. \[100\pi \] | |
| 148. |
The edge of a cube is 20 cm. How many small cubes of edge 5 cm can be formed from this cube? |
| A. | 4 |
| B. | 32 |
| C. | 64 |
| D. | 100 |
| Answer» D. 100 | |
| 149. |
In a frequency distribution, the mid value of a class is 15 the width of the class is 4. The lower limit of the class is _______ |
| A. | 11 |
| B. | 10 |
| C. | 8 |
| D. | 13 |
| E. | None of these |
| Answer» E. None of these | |
| 150. |
Direction: The pie chart given below shows the marks obtained by a student in an examination. If the total marks obtained by him in the examination were 720, answer the questions given below based on this pie chart. How many marks were obtained by the student in Maths? |
| A. | 130 |
| B. | 160 |
| C. | 125 |
| D. | 140 |
| Answer» C. 125 | |