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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.
| 1. |
A rectangular water tank is\[\mathbf{160m}\times \mathbf{20m}\]. Water flows at the opening at a speed of 10 km/hr. The water level will rise in the tank in half an hour by |
| A. | \[\frac{3}{2}\]cm. |
| B. | \[\frac{4}{9}\]cm, |
| C. | \[\frac{5}{9}\]cm. |
| D. | \[\frac{5}{8}\]cm. |
| Answer» E. | |
| 2. |
In the given figure below, the external bisector of \[\angle \mathbf{B}\] and \[\angle C\] of \[\Delta \mathbf{ABC}\] (where AB and AC extended to E and F respectively) meet at point P. If \[\angle \mathbf{BAC}=\mathbf{12}{{\mathbf{0}}^{{}^\circ }}\], then the measure of \[\angle \mathbf{BPC}\] is |
| A. | \[{{50}^{{}^\circ }}\] |
| B. | \[{{80}^{{}^\circ }}\] |
| C. | \[{{30}^{{}^\circ }}\] |
| D. | \[{{100}^{{}^\circ }}\] |
| Answer» D. \[{{100}^{{}^\circ }}\] | |
| 3. |
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 more marks were obtained by the student in English than those in Science? |
| A. | 50 |
| B. | 20 |
| C. | 10 |
| D. | 40 |
| Answer» B. 20 | |
| 4. |
What is the median of the following data set? Steam Leaf 2 5 8 9 3 1 3 3 6 8 4 0 5 6 5 1 3 6 0 7 Scale 2/5=25 |
| A. | 35 |
| B. | 37 |
| C. | 36 |
| D. | 38 |
| Answer» E. | |
| 5. |
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? |
| A. | 14.2 |
| B. | 12.70 |
| C. | 21.6 |
| D. | 41.17 |
| Answer» E. | |
| 6. |
The table below shows the number of passengers in the car at a above in movie theatre. What is the range of given data? Number 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 | |
| 7. |
16 men complete a work in 12 days. They worked for 4 days. To finish the remaining work in 4 days, how many more men should join in? |
| A. | 16 |
| B. | 30 |
| C. | 12 |
| D. | 12 |
| E. | None of these |
| Answer» B. 30 | |
| 8. |
Direction: Study the bar diagram given below carefully and answer the following questions based on it. By how much percent is the birth rate of Japan less than the birth rate of Australia? |
| A. | 30% |
| B. | \[33\frac{1}{3}%\] |
| C. | 45% |
| D. | 50% |
| Answer» C. 45% | |
| 9. |
The list price of a LED TV is Rs. 27000. The shopkeeper sold it by allowing a 5% discount and charged 6% sales tax on it. By mistake, while calculating the bill, he considered 4% discount and 5% sales tax. As a result his customer has paid ________. |
| A. | Rs. 27 more |
| B. | Rs. 27 less |
| C. | Rs. 230 more |
| D. | Rs. 230 less |
| E. | None of these |
| Answer» B. Rs. 27 less | |
| 10. |
If cosec \[\mathbf{A}=\sqrt{\mathbf{5}}\]then match the column Column I Column II A Tan A P \[2/\sqrt{\mathbf{5}}\] B Sin A Q \[\frac{3}{2}\] C Cos A R \[\frac{1}{\sqrt{5}}\] D \[\frac{1}{\tan A}+\frac{\sin A}{1+\cot A}\] S \[\frac{1}{2}\] |
| A. | (A-P, B-Q, C-R, D-S) |
| B. | (A-S, B-R, C-P, D-Q) |
| C. | (A-P, B-Q, C-S, D-R) |
| D. | (A-P, B-S, C-Q, D-R) |
| Answer» C. (A-P, B-Q, C-S, D-R) | |
| 11. |
The base of a right prism is an equilateral triangle of side 6 cm and height of the prism is 20 cm. then the volume of the prism is |
| A. | \[320\sqrt{3}\]cubic cm |
| B. | \[180\sqrt{3}\]cubic cm |
| C. | \[150\sqrt{3}\]cubic cm |
| D. | \[300\sqrt{3}\]cubic cm |
| Answer» C. \[150\sqrt{3}\]cubic cm | |
| 12. |
The table below shows the no. of passengers in the car's at a drive in movie theatre. How many cars are there in the theatre?No. of passengers123456Frequency2191017115 |
| A. | 62 |
| B. | 64 |
| C. | 66 |
| D. | 68 |
| Answer» C. 66 | |
| 13. |
The lengths of the sides of a triangle is x, y mid z respectively. If \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{z}}^{\mathbf{2}}}\mathbf{=xy+yz+xz,}\] then the triangle is: |
| A. | Isosceles |
| B. | Equilateral |
| C. | Scalene |
| D. | Right - angled |
| Answer» C. Scalene | |
| 14. |
The mean of n observation is \[\overline{\mathbf{X}.}\]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 | |
| 15. |
In the given figure below the value of AB is |
| A. | 10.8 |
| B. | 8.6 |
| C. | 6.8 |
| D. | 7.8 |
| Answer» C. 6.8 | |
| 16. |
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 In case of how many schools, is the income by way of tuition fee is less than four times of term fee? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» D. 3 | |
| 17. |
A and B are similar cones with volumes 27\[\mathbf{c}{{\mathbf{m}}^{\mathbf{3}}}\]and 125\[\mathbf{c}{{\mathbf{m}}^{2}}\]respectively. If cone A is 6 cm high, then the height of cone B will be |
| A. | 10 cm |
| B. | 5 cm |
| C. | 15 cm |
| D. | 20 cm |
| Answer» D. 20 cm | |
| 18. |
For any real values of \[\theta ,\frac{\sqrt{\sec \theta -1}}{\sqrt{\sec \theta +1}}=?\] |
| A. | \[cot\theta -cosec\theta \] |
| B. | \[sec\theta -\tan \theta \] |
| C. | \[cosec\theta +cot\theta \] |
| D. | \[tan\theta -sec\theta \] |
| Answer» D. \[tan\theta -sec\theta \] | |
| 19. |
In the given figure what is the value of \[\mathbf{3sin}\theta +\mathbf{4cos}\theta \]? |
| A. | 3 |
| B. | 4 |
| C. | 5 |
| D. | 1 |
| Answer» D. 1 | |
| 20. |
If \[sec\theta +tan\theta =x,(x\ne 0)\]then \[\mathbf{sec}\theta \]is equal to |
| A. | \[\left( x-\frac{1}{x} \right),x\ne 0\] |
| B. | \[2\left( x-\frac{1}{x} \right),x\ne 0\] |
| C. | \[\left( x+\frac{1}{x} \right),x\ne 0\] |
| D. | \[\frac{1}{2}\left( x+\frac{1}{x} \right),x\ne 0\] |
| Answer» E. | |
| 21. |
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: Write the ratio of the heights of highest peak and the lowest peak. |
| A. | 22:15 |
| B. | 0.640277777777778 |
| C. | 20:13 |
| D. | 0.556944444444444 |
| Answer» B. 0.640277777777778 | |
| 22. |
A thief steals a car at 1: 30 pm and drives it at 40 km an hour. The theft is discovered at 2 pm and owner sets off in another car at 50 km an hour. He will overtake the thief at ________ |
| A. | 3 : 00 pm |
| B. | 0.645833333333333 |
| C. | 4 : 00 pm |
| D. | 0.708333333333333 |
| E. | None of these |
| Answer» D. 0.708333333333333 | |
| 23. |
In a triangle, the average of any two sides is 18 cm more than half of the third side. The area of the triangle (in sq. cm) is _________ |
| A. | \[162\sqrt{3}\text{ }\] |
| B. | \[324\sqrt{3}\text{ }\] |
| C. | \[218\sqrt{3}\text{ }\] |
| D. | \[420\sqrt{3}\text{ }\] |
| E. | None of these |
| Answer» C. \[218\sqrt{3}\text{ }\] | |
| 24. |
in \[\Delta ABC,\text{ }AD\bot BC\] and \[A{{D}^{2}}=BD.DC\] the measure of \[\angle BAC\] is. |
| A. | \[{{60}^{{}^\circ }}\] |
| B. | \[{{75}^{{}^\circ }}\] |
| C. | \[{{90}^{{}^\circ }}\] |
| D. | \[{{45}^{{}^\circ }}\] |
| Answer» D. \[{{45}^{{}^\circ }}\] | |
| 25. |
The mean of first 10 natural numbers is |
| A. | \[\frac{5}{2}\] |
| B. | \[\frac{11}{2}\] |
| C. | \[\frac{13}{2}\] |
| D. | \[5\] |
| Answer» C. \[\frac{13}{2}\] | |
| 26. |
The average monthly income of a four members family is Rs.610.25, after the marriage of one girl the average income of the family becomes Rs.650.75, then the salary of married girl is |
| A. | Rs.488.25 |
| B. | Rs.488.75 |
| C. | Rs.479.75 |
| D. | Rs.489.25 |
| Answer» C. Rs.479.75 | |
| 27. |
The difference in radii of two spheres is 2 cm and ratios of their volumes on decreasing the radius of the larger sphere by \[69\frac{3}{13}%\] and the smaller 13 sphere by \[33\frac{1}{3}%\] is 8:27. Find the difference of surface areas of two spheres. |
| A. | \[276.57c{{m}^{2}}\] |
| B. | \[168.39c{{m}^{2}}\] |
| C. | \[302.87c{{m}^{2}}\] |
| D. | \[29439c{{m}^{2}}\] |
| E. | None of these |
| Answer» B. \[168.39c{{m}^{2}}\] | |
| 28. |
Consider the following two situations. Situation 1: Chance of getting '2' or '5' in a throw of die. Situation 2: Chance of getting '1' '3' or '5' in throw of die. Which situation has more chance to occur? |
| A. | Only 1 |
| B. | Only 2 |
| C. | Neither 1 nor 2 |
| D. | Both the situations |
| Answer» C. Neither 1 nor 2 | |
| 29. |
Which of the following statement is/are true? Rolling the number 7 on a standard die is an impossible event. (ii) The probability of a certain event is 1. (iii) If your chances of being stuck in a traffic jam are\[\frac{1}{10,000},\]it is a likely event. |
| A. | only (i) and (ii) |
| B. | only (i) and (iii) |
| C. | only (ii) and (iii) |
| D. | None of these |
| Answer» B. only (i) and (iii) | |
| 30. |
Water flows in a tank\[150\,m\,\times \,100\,m\] mat the base, through a pipe whose cross-section is 2 dm by 1.5 dm at the speed of 15 km per hour. In what time, will the water be 3 metres deep? |
| A. | 50 hours |
| B. | 150 hours |
| C. | 100 hours |
| D. | 200 hours |
| Answer» D. 200 hours | |
| 31. |
In the given figure, find the ratio\[\angle ABC:\angle ACD\]. |
| A. | \[1:1\] |
| B. | \[2:1\] |
| C. | \[1:2\] |
| D. | \[3:1\] |
| Answer» C. \[1:2\] | |
| 32. |
A semi-circular sheet of metal of diameter 28 cm is bent into an open conical cup. Find the capacity of the cup. |
| A. | \[622\text{ }c{{m}^{3}}\] |
| B. | \[504\,c{{m}^{3}}\] |
| C. | \[645\text{ }{{m}^{3}}\] |
| D. | \[592\,{{m}^{3}}\] |
| Answer» B. \[504\,c{{m}^{3}}\] | |
| 33. |
If \[\mathbf{tan}\alpha =\mathbf{ytan}\beta \] and \[\mathbf{sin}\alpha =\mathbf{xsin}\beta \], then \[\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}\alpha \] is |
| A. | \[\frac{{{x}^{2}}}{{{y}^{2}}+1}\] |
| B. | \[\frac{{{x}^{2}}}{{{y}^{2}}}\] |
| C. | \[\frac{{{x}^{2}}-1}{{{y}^{2}}-1}\] |
| D. | \[\frac{{{x}^{2}}+1}{{{y}^{2}}+1}\] |
| Answer» D. \[\frac{{{x}^{2}}+1}{{{y}^{2}}+1}\] | |
| 34. |
10 cylindrical pillars of a building have to be painted. The radius of each pillar is 35 cm and the height is 2 m. what is the cost of painting at the rate of Rs 5 per sq m? |
| A. | Rs 200 |
| B. | Rs 220 |
| C. | Rs 280 |
| D. | Rs 500 |
| Answer» C. Rs 280 | |
| 35. |
What do you call the value in a data around which the values of all the other observations tend to concentrate? |
| A. | Common value |
| B. | Range |
| C. | Measure of central tendency |
| D. | Midvalue |
| Answer» D. Midvalue | |
| 36. |
The following table shows the weights of 12 students: The mean weight is |
| A. | 70.36 |
| B. | 70.89 |
| C. | 70.25 |
| D. | None of these |
| Answer» D. None of these | |
| 37. |
If a be the mean of \[{{\mathbf{x}}_{\mathbf{1}}},\text{ }{{\mathbf{x}}_{\mathbf{2}}},\text{ }{{\mathbf{x}}_{\mathbf{3}}},\text{ }.........\text{ }{{\mathbf{x}}_{\mathbf{n}}},\]and \[\overline{b}\] be the mean of \[{{\mathbf{y}}_{\mathbf{1}}},\text{ }{{\mathbf{y}}_{\mathbf{2}}},\text{ }{{\mathbf{y}}_{\mathbf{3}}},\text{ }........~\]If \[\overline{c}\] is the mean of \[{{\mathbf{x}}_{\mathbf{1}}},\text{ }{{\mathbf{x}}_{\mathbf{2}}},\text{ }{{\mathbf{x}}_{\mathbf{3}}},......,\text{ }{{\mathbf{x}}_{\mathbf{n}}},\text{ }{{\mathbf{y}}_{\mathbf{1}}},\text{ }{{\mathbf{y}}_{\mathbf{2}}},.......\text{ }{{\mathbf{y}}_{\mathbf{n}}},\]then \[\overline{c}\] is equal to |
| A. | \[\frac{\overline{a}-\overline{b}}{2}\] |
| B. | \[\overline{\text{a}}\text{+}\overline{\text{b}}\] |
| C. | \[\frac{\overline{a}+\overline{b}}{2}\] |
| D. | \[\frac{\overline{a}+\overline{b}}{n}\] |
| E. | None of these |
| Answer» D. \[\frac{\overline{a}+\overline{b}}{n}\] | |
| 38. |
ABC is a right angled triangle such that AB \[AB=\mathbf{x}-\mathbf{y},\mathbf{BC}=\mathbf{x}\] and \[\mathbf{CA}=\mathbf{x}-\mathbf{y}\], D is a point on BC such that \[BD=AB\]. The ratio of BD:DC for any value of x and y is given by |
| A. | 3:2 |
| B. | 4:3 |
| C. | 5:4 |
| D. | 3:1 |
| Answer» E. | |
| 39. |
Let ABC be an equilateral triangle. If the side BC is produced to the point D so that \[BC=2CD\], then \[\mathbf{A}{{\mathbf{D}}^{\mathbf{2}}}\]is equal to |
| A. | \[3C{{D}^{2}}\] |
| B. | \[4C{{D}^{2}}\] |
| C. | \[5C{{D}^{2}}\] |
| D. | \[7C{{D}^{2}}\] |
| Answer» E. | |
| 40. |
In a \[\Delta \mathbf{ABC},\] \[\mathbf{BCA}=\mathbf{9}{{\mathbf{0}}^{{}^\circ }}\] and CD is perpendicular to AB If \[\mathbf{AD}=\mathbf{4}\]cm and \[\mathbf{BD}=\mathbf{9}\]cm, then the value of CD will be |
| A. | \[\sqrt{18}\] cm |
| B. | \[\sqrt{20}\] cm |
| C. | 8 cm |
| D. | 6 cm |
| Answer» E. | |
| 41. |
Directions: In each of the questions below four statements are given followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if there seem to be some variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts. Statements: Some rubbers are toys. Some toys are books. Some books are mirrors. No mirror is a glass. Conclusions: (i) Some toys are mirrors, (ii) Some books are glasses. (iii) Some rubbers are mirrors, (iv) No glass is book. |
| A. | Only I follows |
| B. | Only II follows |
| C. | Either II or IV follows |
| D. | Only III and IV follow |
| E. | None of these |
| Answer» D. Only III and IV follow | |
| 42. |
A cylinder is within the cube touching all the vertical faces. A is the cylinder If their heights are same with the same base, then the ratio of their volumes is ___________ |
| A. | 21 : 33 : 11 |
| B. | 42 : 23 : 11 |
| C. | 42 : 33 : 22 |
| D. | 42 : 33 : 11 |
| E. | None of these |
| Answer» E. None of these | |
| 43. |
If S is any point on the side QR of a\[\Delta PQR,\] then |
| A. | PQ+ QR+ RP > 2PS |
| B. | PQ+QR+ RP< 2PS |
| C. | PQ + QR + RP = 3PS |
| D. | None of these |
| Answer» B. PQ+QR+ RP< 2PS | |
| 44. |
In the given figure, \[ABCD\] is a quadrilateral in which\[AB=BC\]and\[AD=DC\]. Find the measure of\[\angle BCD\]. |
| A. | \[{{150}^{o}}\] |
| B. | \[{{30}^{o}}\] |
| C. | \[{{105}^{o}}\] |
| D. | \[{{72}^{o}}\] |
| Answer» D. \[{{72}^{o}}\] | |
| 45. |
Find the coordinate of in centre of a triangle whose vertices are (7, -36), (7, 20) and (-8, 0). |
| A. | (0,-1) |
| B. | (1,0) |
| C. | (4,-1) |
| D. | Cannot be determined |
| E. | None of these |
| Answer» B. (1,0) | |
| 46. |
A container has 60 litres of milk. From this container 6 litre of milk was taken out and replaced by water. The process was further repeated twice. The volume of milk in the container after that is ________ |
| A. | 38.52 l |
| B. | 43 74 l |
| C. | 42.68 l |
| D. | 39.85 l |
| E. | None of these |
| Answer» C. 42.68 l | |
| 47. |
In a certain code language COME is written as #%@ and READ is written as ©\[\uparrow \]*. How is RACE written in that code? |
| A. | #©\[\uparrow \] |
| B. | \[\uparrow \]@%* |
| C. | ©\[\uparrow \]# |
| D. | ©#\[\uparrow \] |
| E. | None of these |
| Answer» D. ©#\[\uparrow \] | |
| 48. |
The mean age of 20 students of a class is 10 years. If the age of their teacher is also included then the mean is increased by one year. The age of teacher is |
| A. | 21 years |
| B. | 41 years |
| C. | 31 years |
| D. | None of these |
| Answer» D. None of these | |
| 49. |
If AB = DE, AC = DF, \[\angle A=\angle D={{90}^{o}}\]and BC = 5 cm, then EF is equal to ___. |
| A. | 5 cm |
| B. | 4.5 cm |
| C. | 5.5 cm |
| D. | Can't be determined |
| Answer» B. 4.5 cm | |
| 50. |
In an isoscelesand then: |
| A. | is an acute angled triangle |
| B. | is an obtuse angled triangle |
| C. | is a right angled triangle |
| D. | |
| Answer» D. | |