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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.
| 51. |
For the set of numbers 2, 2, 4, 5 and 12 which of the following statements is true? |
| A. | Mean = Median |
| B. | Mean > Mode |
| C. | Mean < Mode |
| D. | Mode = Median |
| Answer» C. Mean < Mode | |
| 52. |
The following observations have been arranged in the ascending order. If the median of the data 29, 32, 48, 50,\[x,x+2,\]72, 78, 84, 95 is 63, then the value of\[x\]is |
| A. | 63 |
| B. | 62 |
| C. | 61 |
| D. | 60 |
| Answer» C. 61 | |
| 53. |
A right angled triangle whose base is 21 cm and height is 20 cm, is made to turn round on the longer side. If the volume of the solid, thus generated V and the curved surface area is S, then __________ |
| A. | \[V=9240\text{ }c{{m}^{3}},\text{ }S=1914\text{ }c{{m}^{2}}\] |
| B. | \[V=8820\text{ }c{{m}^{3}},\text{ }S=1885\text{ }c{{m}^{2}}\] |
| C. | \[V=3820\text{ }c{{m}^{3}},\text{ }S=1685\text{ }c{{m}^{2}}\] |
| D. | \[V=8240\text{ }c{{m}^{3}},\text{ }S=1734c{{m}^{2}}\] |
| E. | None of these |
| Answer» B. \[V=8820\text{ }c{{m}^{3}},\text{ }S=1885\text{ }c{{m}^{2}}\] | |
| 54. |
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: W©F, F@M, M%DConclusions: I. DF II. W%M III. F%D |
| A. | Only I is true |
| B. | Only II is true |
| C. | Only III is true |
| D. | Only II and III are true |
| E. | None of these |
| Answer» F. | |
| 55. |
In\[\Delta ABC\],\[AB=AC\]and\[AD\]is perpendicular to\[BC\]. State the property by which\[\Delta ADB\cong \Delta ADC\] |
| A. | S.A.S. property |
| B. | S.S.S. property |
| C. | R.H.S. property |
| D. | A.S.A. property |
| Answer» D. A.S.A. property | |
| 56. |
Anubhav can complete a job in 8 days working 7 hours a day and Vishal can complete the same work in 7 days working 6 hours a day. If both of them start on the same job together working 8 hours a days, then how many days are required to finish the job? |
| A. | 2 days |
| B. | 3 days |
| C. | 4 days |
| D. | 5 days |
| E. | None of these |
| Answer» C. 4 days | |
| 57. |
Directions(Qs. 42 to 45): Themonthly expenditure, for a few months, of a family is shown in figure. Read andinterpret the graph and answer the questions that follow. What was the expenditure in September? |
| A. | 1000 |
| B. | 2000 |
| C. | 2500 |
| D. | 3000 |
| Answer» B. 2000 | |
| 58. |
In the figure given,\[~AB=AC,\] \[E\] is midpoint of \[AB\] and \[F\] is midpoint of\[AC\]. What is the length of\[BF\]? |
| A. | \[AE\] |
| B. | \[CF\] |
| C. | \[BE\] |
| D. | \[CE\] |
| Answer» E. | |
| 59. |
In the given figure \[\frac{2\tan \theta }{1-{{\tan }^{2}}\theta }\] is equal to |
| A. | \[\cos {{60}^{{}^\circ }}\] |
| B. | \[\sin {{60}^{{}^\circ }}\] |
| C. | \[\tan {{60}^{{}^\circ }}\] |
| D. | \[\sin {{30}^{{}^\circ }}\] |
| Answer» D. \[\sin {{30}^{{}^\circ }}\] | |
| 60. |
In the given figure \[\sin \theta =\]? |
| A. | \[\frac{m+n}{m-n}\] |
| B. | \[\frac{m}{m+n}\] |
| C. | \[\frac{m-n}{m+n}\] |
| D. | \[\frac{n}{m+n}\] |
| Answer» D. \[\frac{n}{m+n}\] | |
| 61. |
The mode of the following data is: Size of shoe 1 2 3 5 6 7 8 9 No. of Pairs used 5 6 4 8 9 7 4 10 |
| A. | 5 |
| B. | 9 |
| C. | 7 |
| D. | 4 |
| E. | None of these |
| Answer» C. 7 | |
| 62. |
The marks of 3 students Ravi, Deepu and Vineet are in the ratio 10:12:15. If the maximum marks of the test paper are 100, then the marks of Deepu cannot be in the range of ________ |
| A. | \[70-80\] |
| B. | \[60-70\] |
| C. | \[80-90\] |
| D. | \[40-50\] |
| E. | None of these |
| Answer» D. \[40-50\] | |
| 63. |
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: All pins are pillars. Some pillers are roads. All roads are trains. Conclusions: I. Some pins are trains. II. Some trains are pillars. III. No pin is train. |
| A. | Only I follows |
| B. | Only II follows |
| C. | Only III follows |
| D. | Only either I or III and II follow |
| E. | None of these |
| Answer» E. None of these | |
| 64. |
The radius of a wire is decreased to its one-third. If its volume remains the same, by how many times will its length increase? |
| A. | 3 times |
| B. | 6 times |
| C. | 9 times |
| D. | 27 times |
| Answer» D. 27 times | |
| 65. |
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 Social Science? |
| A. | 50 |
| B. | 20 |
| C. | 10 |
| D. | 40 |
| Answer» B. 20 | |
| 66. |
In an event, laddoos of same size were distributed among 400 students in which each student got 1 laddoo. If the size of each laddoos was decreased by 50 % then to how many students they distributed? |
| A. | 400 |
| B. | 800 |
| C. | 1600 |
| D. | 3200 |
| E. | None of these |
| Answer» E. None of these | |
| 67. |
In\[\Delta ABC\], if \[AD\] is a median, what is the relation between the sides? |
| A. | \[AB+AC>AD\] |
| B. | \[AB+AC<2AD\] |
| C. | \[AB+AC=2AD\] |
| D. | \[AB+AC>2AD\] |
| Answer» E. | |
| 68. |
DIRECTIONS: The questions in this segment consists of two statements, one labelled as "Assertion A" and the other labelled 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: Median of the data 25, 14, 7, 16, 21 is 16. Reason: In case, the set of values has even number of values, the median is the mean of two middle values. |
| 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» C. If Assertion is correct but Reason is incorrect. | |
| 69. |
Find the cost of constructing a wall 8 m long, 4 m high and 20 cm thick at the rate of Rs. 25 per \[{{m}^{3}}.\] |
| A. | Rs. 16 |
| B. | Rs. 80 |
| C. | Rs. 160 |
| D. | Rs. 320 |
| Answer» D. Rs. 320 | |
| 70. |
Read the statement carefully and write T for true and 'F' for false. (i) Volume of a cylinder is three times the volume of a cone on the same base and of same height. (ii) Volume of biggest sphere in cube of edge 6 cm is \[36\pi \text{ }c{{m}^{3}}.\] (iii) Cuboids and cubes are special forms of right prisms. |
| A. | (i) (ii) (iii) T F T |
| B. | (i) (ii) (iii) T T T |
| C. | (i) (ii) (iii) F T F |
| D. | (i) (ii) (iii) F T T |
| Answer» C. (i) (ii) (iii) F T F | |
| 71. |
Directions: Read the following information carefully and answer the questions given below:(i) 'A \[\times \] B' means 'A is father of B'(ii) 'A + B? means 'A is daughter of B'(iii) 'A - B? means' A is mother of B'(iv) 'A \[\div \] B' means 'A is brother of B'If '\[\mathbf{P}+\mathbf{Q}\div \mathbf{R}-\mathbf{T}\]'. How is T related to P? |
| A. | Father |
| B. | Grandmother |
| C. | Aunt |
| D. | Aunt/uncle |
| E. | None of these |
| Answer» F. | |
| 72. |
Hayden makes deliveries for a white goods store. He score the number of deliveries he make each day for 40 days. On how many days has Hayden made at least 10 deliveries? No. of deliveries Frequency 5 1 6 4 7 8 8 11 9 9 10 5 11 2 |
| A. | 10 |
| B. | 7 |
| C. | 17 |
| D. | 26 |
| Answer» C. 17 | |
| 73. |
A randomly selected sample of small businessmen was asked the following question. How many full time employees are there in their businesses? 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% | |
| 74. |
A contractor undertakes to do a piece of work in 36 days and employs 15 men to work 9 hours a day, but after 24 days, he finds that only \[\frac{\mathbf{3}}{\mathbf{5}}\]th of the work is finished. He then employ 3 more men For how many hours a day should all the men now work together to finish the work in time. |
| A. | 9 hours |
| B. | 10 hours |
| C. | 11 hours |
| D. | \[9\frac{1}{2}\] |
| E. | None of these |
| Answer» C. 11 hours | |
| 75. |
The mean of ten items is p and if each item is decreased by 3, then its mean will be |
| A. | \[10p-3\] |
| B. | 3p |
| C. | \[p-3\] |
| D. | \[10+p\] |
| Answer» D. \[10+p\] | |
| 76. |
The table below shows the number of aces scored by tennis players in their first match of tournament No of aces 1 2 3 4 5 Frequency 4 11 18 13 7 What is the mean number of all tor these aces? |
| A. | 3.15 |
| B. | 3 |
| C. | 3.75 |
| D. | 3.95 |
| Answer» B. 3 | |
| 77. |
The height of a cone is equal to its base diameter. Then slant height of the cone is |
| A. | \[\sqrt{{{r}^{2}}+{{h}^{2}}}\] |
| B. | \[r\sqrt{5}\] |
| C. | \[h\sqrt{5}\] |
| D. | \[rh\sqrt{5}\] |
| Answer» C. \[h\sqrt{5}\] | |
| 78. |
Following table shows the weights of 12 students Weight (in kgs) 67 70 72 73 75 Number of students 4 3 2 2 1 The mean weight is |
| A. | 70.36 |
| B. | 70.89 |
| C. | 70.25 |
| D. | None of these |
| Answer» D. None of these | |
| 79. |
In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. What is the lower limit of the class? |
| A. | 6 |
| B. | 7 |
| C. | 8 |
| D. | 12 |
| Answer» C. 8 | |
| 80. |
The mean wage of 150 labourers working in a factory running three shifts with 60, 40 and 50 labourers is Rs. 114. The mean wage of 60 labourers working in the first shift is Rs. 121.50 and that of 40 labourers working the second shift is Rs. 107.75. Find the mean wage of those who are working in the third shift. |
| A. | Rs. 110 |
| B. | Rs. 100 |
| C. | Rs. 120 |
| D. | Rs. 115.75 |
| Answer» B. Rs. 100 | |
| 81. |
If \[\mathbf{x}=\mathbf{6}{{\mathbf{0}}^{{}^\circ }}\]then \[\frac{1}{2}\sqrt{1+cosx}+\frac{1}{2}\sqrt{1-cosx}\] is equal to |
| A. | \[cot\frac{\theta }{2}\] |
| B. | \[\sec \frac{\theta }{2}\] |
| C. | \[\sin \frac{\theta }{2}\] |
| D. | \[\cos \frac{\theta }{2}\] |
| Answer» E. | |
| 82. |
The value of \[\frac{\sin \theta }{1+\cos \theta }+\frac{\sin \theta }{1-{{\cos }^{2}}\theta }\] is\[\left( {{0}^{{}^\circ }} |
| A. | \[2\,cosec\theta \] |
| B. | \[2\,sec\theta \] |
| C. | \[2\,sin\theta \] |
| D. | \[2\,cos\theta \] |
| Answer» B. \[2\,sec\theta \] | |
| 83. |
In\[\Delta DEF\], which of the following statements is true? |
| A. | \[DE+EF=FD\] |
| B. | \[DE+EF<FD\] |
| C. | \[DE>EF+FD\] |
| D. | \[DE+EF>FD\] |
| Answer» E. | |
| 84. |
The median of the data when mean and mode are respectively 45 and 36 is |
| A. | 38 |
| B. | 42 |
| C. | 49 |
| D. | 39 |
| E. | None of these |
| Answer» C. 49 | |
| 85. |
A well, 14m deep is 2 m in radius. Find the cost of cementing the inner curved surface at the rate of Rs. 2 per square metre. |
| A. | Rs. 242 |
| B. | Rs. 352 |
| C. | Rs. 464 |
| D. | Rs. 294 |
| Answer» C. Rs. 464 | |
| 86. |
In the given figure\[\Delta ABD\cong \Delta ACD\]\[AB=AC\],\[BC=CD\] By which criterion are the triangles congruent? |
| A. | S.S.S. |
| B. | R.H.S. |
| C. | S.A.S. |
| D. | A.S.A. |
| Answer» B. R.H.S. | |
| 87. |
Two circles touch each other externally. The sum of there areas is \[274\text{ }\pi \text{c}{{\text{m}}^{\text{2}}}\]. The distance between their centres is 22 cm. Find the difference in their radii. |
| A. | 8 cm |
| B. | 10 cm |
| C. | 15 cm |
| D. | 7 cm |
| E. | None of these |
| Answer» B. 10 cm | |
| 88. |
Write the value of. |
| A. | 5 |
| B. | 1 |
| C. | 0 |
| D. | 2 |
| E. | None of these |
| Answer» B. 1 | |
| 89. |
A child playing with building blocks which are of the shape of the cubes has build a structure as shown in the figure given below. If the each of the cube is 2 cm. what is the structure built by the cube? |
| A. | 96 \[c{{m}^{3}}\] |
| B. | 120 \[c{{m}^{3}}\] |
| C. | 114 \[c{{m}^{3}}\] |
| D. | 112 \[c{{m}^{3}}\] |
| Answer» C. 114 \[c{{m}^{3}}\] | |
| 90. |
Let \[\left( \mathbf{k}-\mathbf{1} \right)\] be the mid-point and 'm' be the lower class limit of a class in a continuous frequency distribution. The upper class-limit of the class is ___________ |
| A. | \[\left( k-1 \right)-m\] |
| B. | \[\left( k-1 \right)+m\] |
| C. | \[2\left( k-1 \right)-m\] |
| D. | \[2\left( k+1 \right)-m\] |
| E. | None of these |
| Answer» D. \[2\left( k+1 \right)-m\] | |
| 91. |
If, then is equal to: |
| A. | 0 |
| B. | 3abc |
| C. | 4 |
| D. | 2 |
| E. | None of these |
| Answer» C. 4 | |
| 92. |
Directions(Qs. 80 to 82): Studythe graph given below and answer the questions that follow. The total number of students failing in the entrance exam from all the cities together, is |
| A. | 175000 |
| B. | 168000 |
| C. | 165000 |
| D. | 217500 |
| Answer» B. 168000 | |
| 93. |
What is the total surface area of a hollow hemisphere of external and internal radii R and r? |
| A. | \[\pi ({{R}^{2}}+3{{r}^{2}})\] |
| B. | \[\pi (3{{R}^{2}}+{{r}^{2}})\] |
| C. | \[\pi (3{{r}^{2}}+2{{R}^{2}})\] |
| D. | \[\pi (2{{r}^{2}}+3{{R}^{2}})\] |
| Answer» C. \[\pi (3{{r}^{2}}+2{{R}^{2}})\] | |
| 94. |
Find the mean of first 5 whole numbers. |
| A. | 2.5 |
| B. | 3 |
| C. | 1.5 |
| D. | 2 |
| Answer» E. | |
| 95. |
PQR is an equilateral triangle. O is the point of intersection of altitudes PL, QM RN, If \[\mathbf{OP}=\mathbf{9}\]cm, then what is the perimeter of the \[\Delta \mathbf{PQR}\]? |
| A. | \[6\sqrt{3}\]cm |
| B. | \[12\sqrt{3}\]cm |
| C. | \[16\sqrt{3}\]cm |
| D. | \[18\sqrt{3}\]cm. |
| Answer» E. | |
| 96. |
A\[\Delta \mathbf{DEF}\] is formed by joining the mid-points of the sides of \[\Delta \mathbf{ABC}\]. Similarly, a \[\Delta \mathbf{DEF}\] is formed by joining the mid-points of the sides of the \[\Delta \mathbf{PQR}\]. If the sides of the \[\Delta \mathbf{PQR}\] are of lengths 2, 3 and 4 units, what is the perimeter of the\[\Delta \mathbf{ABC}\]? |
| A. | 18 units |
| B. | 36 units |
| C. | 48 units |
| D. | cannot be determined |
| Answer» C. 48 units | |
| 97. |
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 is the median of the following data: 25,28,22,24,27,23,22 |
| A. | 24 |
| B. | 28 |
| C. | 32 |
| D. | 12 |
| Answer» B. 28 | |
| 98. |
DIRECTIONS: Match Column-I with Column-II and select the correct answer using the codes given below the columns. A B C D E |
| A. | 4 2 1 5 3 |
| B. | 2 4 5 1 3 |
| C. | 2 4 1 3 5 |
| D. | 4 2 5 1 3 |
| Answer» E. | |
| 99. |
The diameters of the top and bottom portions of a milk can are 30 cm and 8 cm respectively. If the height of the can is 60 cm, then _________ \[\left( Use\text{ }\pi \text{ = }\frac{22}{7} \right)\] |
| A. | area of metal sheet required to make the can (without lid) is \[3692.86\,c{{m}^{2}}\] |
| B. | Amount of milk which container can hold is \[18220c{{m}^{3}}\]. |
| C. | area of metal sheet required = curved surface area of bottom base. |
| D. | both B and C |
| E. | None of these |
| Answer» B. Amount of milk which container can hold is \[18220c{{m}^{3}}\]. | |
| 100. |
A man covered a distance of 3990 km partly by air, partly by sea and remaining by land. The time spent in air, on sea and on land is in the ratio 1: 16: 2 and the ratio of average speeds is 20: 1: 3 respectively. If total average speed is 42 km/hr, then the distance covered by sea is _________ |
| A. | 1602 kms |
| B. | 1520 kms |
| C. | 1620 kms |
| D. | 1500 kms |
| E. | None of these |
| Answer» C. 1620 kms | |