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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.
| 1651. |
The volume of two spheres are in the ratio 64 : 27. The difference of their surface areas, if the sum of their radii is 7 units, is ___. |
| A. | \[28\pi \,sq.\,\]units |
| B. | 88 sq. units |
| C. | \[88\pi \,sq.\] units |
| D. | \[4\pi \,sq.\] units |
| Answer» B. 88 sq. units | |
| 1652. |
The cost of painting the T.S.A. of cone at \[5ps/c{{m}^{2}}\]is Rs. 35.20 Determine the volume of the cone if its slant height is 25 cm. |
| A. | \[1223\,c{{m}^{2}}\] |
| B. | \[~1232\,c{{m}^{2}}\] |
| C. | \[~1323\,c{{m}^{2}}\] |
| D. | \[1332\,c{{m}^{2}}\] |
| Answer» C. \[~1323\,c{{m}^{2}}\] | |
| 1653. |
A cube of edge 'k' is divided into 'n? equal cubes. Determine the edge of the new cube. |
| A. | \[\sqrt{n}k\] |
| B. | \[\frac{k}{\sqrt[3]{n}}\] |
| C. | \[\sqrt[3]{n}k\] |
| D. | \[\frac{\sqrt[3]{n}}{k}\] |
| Answer» C. \[\sqrt[3]{n}k\] | |
| 1654. |
The height of sand in a cylindrical box drops 3 inches when 1 cubic foot of sand is poured out. What is the diameter, in inches, of the cylinder? |
| A. | \[\frac{24}{\sqrt{\pi }}\] |
| B. | \[\frac{48}{\sqrt{\pi }}\] |
| C. | \[\frac{32}{\sqrt{\pi }}\] |
| D. | \[\frac{48}{\pi }\] |
| Answer» C. \[\frac{32}{\sqrt{\pi }}\] | |
| 1655. |
Two cubes of side 6 cm each are joined end to end. Find the surface area of the resultant cuboid. |
| A. | \[~200\text{ }c{{m}^{2}}\] |
| B. | \[420\text{ }c{{m}^{2}}\] |
| C. | \[~360\text{ }c{{m}^{2}}\] |
| D. | \[270\text{ }c{{m}^{2}}\] |
| Answer» D. \[270\text{ }c{{m}^{2}}\] | |
| 1656. |
The total surface area of a cylinder of height 6.5 cm is 220 sq cm. Find its volume. |
| A. | \[~25.025\text{ }c{{m}^{3}}\] |
| B. | \[2.5025\text{ }c{{m}^{3}}\] |
| C. | \[2502.5\,c{{m}^{2}}\] |
| D. | \[~250.25\text{ }c{{m}^{3}}\] |
| Answer» E. | |
| 1657. |
If\[l\]is the length of a diagonal of a cube of volume V, what is the relation between \[l\] and V? |
| A. | \[3V={{l}^{3}}\] |
| B. | \[\sqrt{3V}={{l}^{3}}\] |
| C. | \[3\sqrt{3}V=2{{l}^{3}}\] |
| D. | \[3\sqrt{3}V={{l}^{3}}\] |
| Answer» E. | |
| 1658. |
Match the following. Column-I Column-II (p) A cylinder of radius 3 cm is inscribed in a sphere of radius 5 cm, then volume of cylinder is ___. (1)\[38.5\,\,c{{m}^{3}}\] A conical pit of top diameter 3.5 cm is 12 cm deep, the capacity of pit is ___. (2)\[512\text{ }c{{m}^{3}}\] (r) The length of a diagonal of a cube is \[8\sqrt{3}\,cm.\]then volume of cube is ___. (3)\[~72\pi \text{ }c{{m}^{3}}\] (s) The capacity of a conical vessel with height 12 cm and slant height 13 cm is___. (4)\[100\pi \,c{{m}^{3}}\] |
| A. | \[(p)\to (2);(q)\to (3);(r)\to (4);(s)\to (1)\] |
| B. | \[(p)\to (1);(q)\to (3);(r)\to (2);(s)\to (4)\] |
| C. | \[(p)\to (3);(q)\to (1);(r)\to (2);(s)\to (4)\] |
| D. | \[(p)\to (4);(q)\to (1);(r)\to (3);(s)\to (2)\] |
| Answer» D. \[(p)\to (4);(q)\to (1);(r)\to (3);(s)\to (2)\] | |
| 1659. |
Into a conical tent of radius 7 m and vertical height 4.5 m, how many full bags of rice can be emptied, if volume of each bag is\[1.5\text{ }{{m}^{3}}.\] |
| A. | 120 bags |
| B. | 144 bags |
| C. | 154 bags |
| D. | 172 bags |
| Answer» D. 172 bags | |
| 1660. |
A circus tent is cylindrical to a height of 3 metres and conical above it. if its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent. |
| A. | 1996 m |
| B. | 2096 m |
| C. | 1947 m |
| D. | 1800 m |
| Answer» D. 1800 m | |
| 1661. |
How many litres of water flows out through a pipe having an area of cross- section of \[56c{{m}^{2}}\]in one minute, if the speed of water in pipe is 30 cm/sec? |
| A. | 9 litres |
| B. | 15 litres |
| C. | 30 litres |
| D. | 3 litres |
| Answer» B. 15 litres | |
| 1662. |
The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio of 5 : 3. The ratio of their volumes is ___. |
| A. | 0.428472222222222 |
| B. | 0.852083333333333 |
| C. | 17 : 27 |
| D. | 20 : 37 |
| Answer» C. 17 : 27 | |
| 1663. |
If the height of a cylinder is doubled, by what number must the radius of the base be multiplied so that the resulting cylinder has the same volume as the original cylinder? |
| A. | 4 |
| B. | \[\frac{1}{\sqrt{2}}\] |
| C. | 2 |
| D. | \[\frac{1}{2}\] |
| Answer» C. 2 | |
| 1664. |
If a solid sphere of radius 10 cm is melted to stretch into a wire of 1000 cm, then curved surface area of the wire is ________ |
| A. | \[7005\,c{{m}^{2}}\] |
| B. | \[7266.72\,c{{m}^{2}}\] |
| C. | \[3268.66c{{m}^{2}}\] |
| D. | \[8645.55c{{m}^{2}}\] |
| Answer» C. \[3268.66c{{m}^{2}}\] | |
| 1665. |
The volumes of two spheres are in the 125 : 64. If the radius is increased by 30 % in first sphere and 50 % in second sphere, then the ratio between their surface areas is __________ |
| A. | 144 : 121 |
| B. | 125 : 64 |
| C. | 0.0423611111111111 |
| D. | 169 : 144 |
| Answer» E. | |
| 1666. |
The difference between the areas of outside and inside surface of a cylindrical metallic pipe 14 cm long is \[\mathbf{132c}{{\mathbf{m}}^{\mathbf{2}}}\]. If the pipe is made of \[\mathbf{495c}{{\mathbf{m}}^{\mathbf{3}}}\] of metal, find the outer and inner radii of the pipe. |
| A. | 4.5 cm and 3 cm |
| B. | 3.5 cm and 2.0 cm |
| C. | 5.0 cm and 3.5 cm |
| D. | 4.0 cm and 2.5 cm |
| Answer» B. 3.5 cm and 2.0 cm | |
| 1667. |
If the radius of a sphere is increased by 40 %, then its volume will be increased by _________ |
| A. | 0.74 |
| B. | 0.744 |
| C. | 1.744 |
| D. | 0.8 |
| Answer» D. 0.8 | |
| 1668. |
Three cubes each of side 6 cm are joined end-to-end as shown in the figure. Then what is the surface area of the resulting cuboid? |
| A. | 252 \[c{{m}^{2}}\] |
| B. | 504 \[c{{m}^{2}}\] |
| C. | 540 \[c{{m}^{2}}\] |
| D. | 450 \[c{{m}^{2}}\] |
| Answer» C. 540 \[c{{m}^{2}}\] | |
| 1669. |
What is the volume of the solid shown alongside? |
| A. | 265 \[c{{m}^{3}}\] |
| B. | 255 \[c{{m}^{3}}\] |
| C. | 359 \[c{{m}^{3}}\] |
| D. | 569 \[c{{m}^{3}}\] |
| Answer» B. 255 \[c{{m}^{3}}\] | |
| 1670. |
If the ratio of the diameters of two spheres is 4:5, then what is the ratio of their surface areas? |
| A. | 0.684027777777778 |
| B. | 0.381944444444444 |
| C. | 0.128472222222222 |
| D. | 0.684027777777778 |
| Answer» B. 0.381944444444444 | |
| 1671. |
The radius of base of a right circular cone is 3.5 cm and slant height is 10 cm, then what is its lateral surface area? |
| A. | 110 sq cm |
| B. | 100 sq cm |
| C. | 70 sq cm |
| D. | 49 sq cm |
| Answer» B. 100 sq cm | |
| 1672. |
The height of the cone is 40 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume is\[\frac{1}{64}\]of the volume of the cone. At what height, above the base, is the section made? |
| A. | 6 cm |
| B. | 8 cm |
| C. | 10 cm |
| D. | 20 cm |
| Answer» E. | |
| 1673. |
What is the surface area of solid given along side? |
| A. | 96 \[c{{m}^{2}}\] |
| B. | 108 \[c{{m}^{2}}\] |
| C. | 100 \[c{{m}^{2}}\] |
| D. | 92 \[c{{m}^{2}}\] |
| Answer» B. 108 \[c{{m}^{2}}\] | |
| 1674. |
An ice block with uniform cross section has the dimension shown alongside what is the volume of the ice block? |
| A. | 36 \[c{{m}^{2}}\] |
| B. | 40 \[c{{m}^{2}}\] |
| C. | 44 \[c{{m}^{2}}\] |
| D. | 50 \[c{{m}^{2}}\] |
| Answer» C. 44 \[c{{m}^{2}}\] | |
| 1675. |
A horsed drinking through has the dimensions shown. How long will it take to fill the through if water flows it in 22 litters per minute? |
| A. | 6 m |
| B. | 6 m 18 sec. |
| C. | 6 m 42 sec |
| D. | 6 m 22 sec |
| Answer» C. 6 m 42 sec | |
| 1676. |
In the given figure, volume of a square based box is 500\[\mathbf{c}{{\mathbf{m}}^{2}}\] and base length is 10 cm. The height h of the box is |
| A. | 7 .5 cm |
| B. | 10 cm |
| C. | 5 cm |
| D. | 2.5 cm |
| Answer» D. 2.5 cm | |
| 1677. |
What will be the cost to plaster the inner surface of a well 28 m deep and 2 m in radius at the rate of 25 per sq m? |
| A. | Rs 4000 |
| B. | Rs 2200 |
| C. | Rs 8800 |
| D. | Rs 4400 |
| Answer» D. Rs 4400 | |
| 1678. |
What is the length of the uniform wire of radius 0.2 cm that can be drawn from a solid sphere of radius 3 cm? |
| A. | 9 m |
| B. | 24 m |
| C. | 12 m |
| D. | 60 m |
| Answer» B. 24 m | |
| 1679. |
Direction: The bar graph given shows the months of birthdays of 40 students of a class. Answer the following questions based on the graph. In which months were at least 5 students born? |
| A. | June and October |
| B. | March and November |
| C. | February and September |
| D. | May and August |
| Answer» E. | |
| 1680. |
DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other label led as "Reason R". You are to examine these two statements carefully and decide if the Assertion A and Reason R are individually true and if so, whether the reason is a correct explanation of the assertion. Select your answers to these items using codes given below. Assertion: The king, queen and jack of hearts are removed from a deck of 52 playing cards and well shuffled. One card is selected from the remaining cards. The probability of drawing a '10' of hearts is \[\frac{1}{49}.\] Reason: Number of cards remaining after the king, queen and jack of hearts have been removed is 49. |
| A. | If both Assertion and Reason are correct and Reason is the correct explanation of Assertion. |
| B. | If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. |
| C. | If Assertion is correct but Reason is incorrect. |
| D. | If Assertion is incorrect but Reason is correct. |
| Answer» B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion. | |
| 1681. |
The number of students passing in the examination from city A is approximately what percent of the total number of students passing in the examination from all cities together? |
| A. | 15 |
| B. | 12 |
| C. | 18 |
| D. | 21 |
| Answer» D. 21 | |
| 1682. |
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 Number of students who took more than mean time is |
| A. | 3 |
| B. | 2 |
| C. | 1 |
| D. | 4 |
| Answer» D. 4 | |
| 1683. |
DIRECTIONS (Qs. 4 - 7): Given below is a bar graph showing the heights of six mountain peaks. Read the above diagram and answer the following: When the heights of the given peaks are written in ascending order, then what is the average of the middle two peaks? |
| A. | 7950m |
| B. | 7560m |
| C. | 7650m |
| D. | 7850m |
| Answer» E. | |
| 1684. |
The table below shows the number of aces scored by tennis players in their first match of tournament What is the mean number of all tor these aces: No of aces 1 2 3 4 5 Frequency 4 11 18 13 7 |
| A. | 3.15 |
| B. | 3 |
| C. | 3.75 |
| D. | 3.95 |
| Answer» B. 3 | |
| 1685. |
The data in the table below shows the number of people at each table at a restaurant. What is the median of this data? Number of people 5 6 7 8 9 10 11 12 Frequency 1 0 3 9 12 7 4 2 |
| A. | 7 |
| B. | 9 |
| C. | 9.5 |
| D. | 9.25 |
| Answer» C. 9.5 | |
| 1686. |
The mean of 11 numbers is 10. What should be added as 12th number to make the mean 14? |
| A. | 10 |
| B. | 72 |
| C. | 58 |
| D. | 90 |
| Answer» D. 90 | |
| 1687. |
Value of 'a' if the mean mark is 1 of the following data, is |
| A. | 20 |
| B. | 10 |
| C. | 30 |
| D. | 5 |
| Answer» C. 30 | |
| 1688. |
DIRECTIONS: Read the following passages and answer the questions that follow. PASSAGE - 2 When the data is arranged in ascending or descending order, the middle observations is called median. If the number of observations is odd, then there will be only one middle term. If the number of observation is even, then there will be two middle terms. Which one of the following is the correct explanation of Median? |
| A. | Median is obtained by taking average of the given set of observations, |
| B. | Median is the middle most observation. |
| C. | When the given observations are arranged in ascending or descending order, then median is the middle observation. |
| D. | None of these |
| Answer» D. None of these | |
| 1689. |
DIRECTIONS(Qs. 53 - 55):Read the following passages and answer the questions that follow. PASSAGE - 1MissNeha asked the children in her class, 'What is your favourite colour?' Herresults are shown on the bar chart. How many children are in her class? |
| A. | 30 |
| B. | 42 |
| C. | 28 |
| D. | 37 |
| Answer» B. 42 | |
| 1690. |
Student in a Hotel Management College were instructed to bake a cake. The table alongside shows the time taken for the students to complete the task. Students longer than 2 hours received a penalty. What percentage of students received a penalty? Time t (min ) Frequency \[55\le t |
| A. | 43 |
| B. | 46 |
| C. | 45 |
| D. | 30 |
| Answer» E. | |
| 1691. |
A frequency table for the height h of the players in a basketball squad is given alongside. What is the modal class? Height-h (cm) Frequency \[170\le h |
| A. | \[185\le h<190\] |
| B. | \[195\le h<200\] |
| C. | \[190\le h<195\] |
| D. | \[175\le h<180\] |
| Answer» B. \[195\le h<200\] | |
| 1692. |
The stem-and-leaf plot alongside shows the ten pin bowling scores of John. What percentage of John's scores have been 100 or higher? Steam Leaf 7 6 8 8 2 5 8 9 1 1 2 5 9 10 1 2 4 11 0 12 6 13 2 7 |
| A. | 14.2 |
| B. | 12.7 |
| C. | 21.6 |
| D. | 41.17 |
| Answer» E. | |
| 1693. |
DIRECTIONS(Qs. 41 - 45): Studythe chart and given the answer of following questions.Selling of thecar in UK according to the colors If in a certain period the total production of all cars was 95400 then how many more blue cars were sold than green? |
| A. | 2580 |
| B. | 3618 |
| C. | 2850 |
| D. | 3816 |
| Answer» E. | |
| 1694. |
If the mean of 9 observations p, p + 2, p+4,p+6,p+8,p-2,p-4,p-6 and p 8 is 10. Find the mean of the least 5 observations. |
| A. | 6 |
| B. | 25 |
| C. | 10 |
| D. | 9 |
| Answer» B. 25 | |
| 1695. |
The numbers 3, 5, 6 and 4 have frequencies of x, x + 2, x ? 8 and x + 6 respectively. If their mean is 4 then the value of x is |
| A. | 5 |
| B. | 6 |
| C. | 7 |
| D. | 8 |
| Answer» D. 8 | |
| 1696. |
Directions(Qs. 39 to 41): Thegraph in figure shows the number of students enrolled in various subjects. Readthe graph carefully and answer the following questions. The enrolment in mathematics is approximately how many times larger than the enrolment in EVS |
| A. | 3 times |
| B. | 4 times |
| C. | 2 times |
| D. | 5 times |
| Answer» D. 5 times | |
| 1697. |
Directions(Qs. 39 to 41): Thegraph in figure shows the number of students enrolled in various subjects. Readthe graph carefully and answer the following questions. Which subject has the most students enrolled in it? |
| A. | Math?s |
| B. | English |
| C. | EVS |
| D. | History |
| Answer» B. English | |
| 1698. |
If the mean of \[{{x}_{1}}\] and that of \[{{x}_{1}},{{x}_{2}}{{x}_{3}},{{x}_{4}}\] is \[{{M}_{2}}\]the mean of \[{{x}_{1}},\]\[{{x}_{2}}\text{/}a,\]\[{{x}_{3}}+a,\]\[{{x}_{4}}-a\]is |
| A. | \[{{M}_{1}}+\frac{(a-1)({{x}_{1}}-2{{M}_{1}})}{4a}\] |
| B. | \[{{M}_{1}}+\frac{(a-1)\,{{x}_{1}}-2{{M}_{2}}}{4a}\] |
| C. | \[\frac{{{M}_{2}}}{4a}+(a-1){{x}_{1}}+2{{M}_{1}}\] |
| D. | \[\frac{{{M}_{1}}}{4a}+(a-1){{x}_{2}}+2{{M}_{2}}\] |
| Answer» B. \[{{M}_{1}}+\frac{(a-1)\,{{x}_{1}}-2{{M}_{2}}}{4a}\] | |
| 1699. |
Direction: Study the bar diagram and answer the questions. The average number of boys from ail the departments together is |
| A. | 123 |
| B. | 12 |
| C. | 134 |
| D. | 142 |
| Answer» C. 134 | |
| 1700. |
Direction: Study the bar diagram and answer the questions. The difference between the total number of boys and the total number of girls from all the departments together is |
| A. | 540 |
| B. | 520 |
| C. | 360 |
| D. | 440 |
| Answer» D. 440 | |