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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 3151. |
A teacher brings clay in the classroom to teach the topic 'mensuration' . Sheforma a cylinder of radius6 cm and height 8 cm with the clay. Then she moulds thatcylinderinto a sphere. Find the radiusof the sphereformed .Do teachingaids enhance teaching learning process ? Justify your answer. |
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Answer» Yes, teachig aids MAKE thelearning PRACTICAL, interesting, easy to learn and leave long lastingimpact. |
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| 3153. |
If a chord of circle of radius 10cm subtend an angle of 60^(@) at the centre of the circle. Find the area of the corresponding segment of the circle. (Take p=3.14, sqrt(3)=1.7) OR Find the area of the shaded region where PQRS is a squareof side 10cms and semicircles are drawn with each side of square as diameter. |
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Answer» OR `43 cm^(2)` |
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| 3154. |
Car A travels x km for every litre of petrol, while car B travels (x+5) km for every litre of petrol. Both the cars cover a distance of 400 km each. If car A uses 4 litres of petrol more than car B in covering 400 km. Write down an equation in x and determine the number of litres of petrol used by car B for the journey. |
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| 3155. |
An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangaluru (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains. |
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Answer» Speed of the EXPRESS train = 44 kmph |
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| 3156. |
Using remainder theorem, find the value of k if on dividing 2x^3+ 3x^2-kx + 5 by x-2. leaves a remainder 7 |
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| 3157. |
Prove thatsqrt ((1+cos theta )/( 1-cos theta ) ) = cosec theta +cot theta , 0le theta le 90 ^(@) |
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| 3158. |
Six faces of a cube are coloured black, brown, green, red, white and blue, such that (i) Red is opposite black (ii) Green is between red and black (iii) Blue is adjacent to white (iv) Brown is adjacent to blue (v) Red is at the bottom. Answer the questions based on this information. Which colour, of the following can be deduced from (i) and (v)? |
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Answer» BLACK is on the top 
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| 3159. |
Six faces of a cube are coloured black, brown, green, red, white and blue, such that (i) Red is opposite black (ii) Green is between red and black (iii) Blue is adjacent to white (iv) Brown is adjacent to blue (v) Red is at the bottom. Answer the questions based on this information. Which colour is opposite brown? |
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Answer» White 
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| 3160. |
Six faces of a cube are coloured black, brown, green, red, white and blue, such that (i) Red is opposite black (ii) Green is between red and black (iii) Blue is adjacent to white (iv) Brown is adjacent to blue (v) Red is at the bottom. Answer the questions based on this information. The four colours adjacent to one another are |
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Answer» Black, Blue, Brown, Red 
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| 3162. |
Find the condition that the points A(3, 4), B(-5, -6) and C(x, y) may lie on the same straight line. |
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| 3163. |
Amit bought two pencils and three chocolates for Rs. 11 and Sumeet bought one pencil and two chocolates for Rs. 7. Represent this situation in the form of a pair of linear equations. Find the price of one pencil and that of one chocolate graphically. |
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| 3164. |
Find the sum of n terms of the sequence : 5 + 55 + 555 + ........... |
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| 3165. |
To divide a line segment AB in the ratio 5 : 6, draw a ray AX such that BAX is an acute angle , drawn a ray BY parallel to AX with the points A_(1) , A_(2), A_(3), ,… and B_(1), B_(2), B_(3) ,… located at equal distances on ray AX and BY respectively. Then the points joined are |
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Answer» 1)`A_5 and B_6` |
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| 3166. |
Step 1 : Take a chart paper, cut out a right angled triangle of measurement as given in triangle (i).Step 2 : Take three more different colour chart papers and cut out three triangles such that sides of triangle (ii) is three times of the triangle (i), the sides of triangle (iii) is four times of the triangle (i), the sides of triangle (iv) is five times of triangle (i). Step 3 : Now keeping the common side length the triangle (ii) and (iii) over the triangle (iv) such that the sides of these two triangles [(ii) and (iii))] coincide with the triangle (iv).Observe the hypotenuse side and write down the equation. What do you conclude ? |
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| 3167. |
A survey regarding the heights (in cm) of class X of a school was conducted and the following data was obtained. Find the median height. |
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| 3168. |
Solve graphically the pair of linear equations 3x-4y+3=0" and "3x+4y-21=0. Find the coordinate of the vertices of triangular region formed by these lines and x-axis. Also calculate the area of this triangle. |
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| 3169. |
Find the dividend due at the end of a year on 250 shares of 50rs each, if the half-yearly dividend is 4% of the value of the share. |
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| 3170. |
Prove that (tan A )/(1 + sec A) - (tan A )/(1 - sec A ) = 2 cosec A. |
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| 3171. |
The table below gives the percentage distribution of female in the primary schools of rural areas of various states and union territories(U.T) of India . Find the mean percentage of female teachers using all the three methods.{:("Percentage of female teachers","Number of States/U.T"),(15-25,6),(25-35,11),(35-45,7),(45-55,4),(55-65,4),(65-75,2),(75-85,1):}. |
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| 3172. |
The solution of the inequationsx ge 0, y ge 0, y=2 and x=2 form the polygonal region with the vertices (0,0),(0,2),(2,0) and (2,2)and the polygon so formed by joining the vertices is a _____ |
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Answer» parallelogram |
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| 3173. |
Prove that : (sin theta-2sin^(3)theta)/(2cos^(3)theta-costheta)=tan theta. |
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| 3174. |
If in a certain language, CALCUTTA is coded as GEPGYXXE which word would be coded as FSQFCE? |
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Answer» BOMBYA |
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| 3175. |
The sum of three terms in A.P. is 33 and their products is 1155. Find the terms. |
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| 3176. |
Shalvi wants to organize her birthday party. She was happy on her birthday. She is very health conscious, thus she decided to serve fruits only. She has 36 apples and 60 bananas at home and decided to serve them. She want to distribute fruits among guests. She does not want to discriminate among guests so she decided to distribute equally among all. If Shalvi decide to add 45mangoesinstead OF 6 apple, in this case how many maximum guests Shalvi can invite ? |
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Answer» 12 Thus (C) is correct OPTION. |
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| 3177. |
Shalvi wants to organize her birthday party. She was happy on her birthday. She is very health conscious, thus she decided to serve fruits only. She has 36 apples and 60 bananas at home and decided to serve them. She want to distribute fruits among guests. She does not want to discriminate among guests so she decided to distribute equally among all. Shalvi decide to add 42 mangoes also. In this case how many maximum guests Shalvi can invite ? |
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Answer» 12 THUS fruits will be equally distributed AMONG 6 guests. Thus (c) is correct option. |
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| 3178. |
Shalvi wants to organize her birthday party. She was happy on her birthday. She is very health conscious, thus she decided to serve fruits only. She has 36 apples and 60 bananas at home and decided to serve them. She want to distribute fruits among guests. She does not want to discriminate among guests so she decided to distribute equally among all. she also adds 42 mangoes,How many total fruits will each guest get? |
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Answer» 6 apple 5 banana and 6 mangoes Thus each guest will get `6 + 7 + 12 = 25` fruits. Thus (b) is correct OPTION. |
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| 3179. |
Shalvi wants to organize her birthday party. She was happy on her birthday. She is very health conscious, thus she decided to serve fruits only. She has 36 apples and 60 bananas at home and decided to serve them. She want to distribute fruits among guests. She does not want to discriminate among guests so she decided to distribute equally among all. How many maximum guests Shalvi can invite? |
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Answer» 12 Thus fruits will be equally distributed among 12 guests. Thus (a) is CORRECT OPTION. |
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| 3180. |
Shalvi wants to organize her birthday party. She was happy on her birthday. She is very health conscious, thus she decided to serve fruits only. She has 36 apples and 60 bananas at home and decided to serve them. She want to distribute fruits among guests. She does not want to discriminate among guests so she decided to distribute equally among all. How many apples and bananas will each guest get? |
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Answer» 3 APPLE 5 banana Thus (a) is correct OPTION. |
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| 3181. |
Which numbershould be added to 2x^(3)-3x^(2)+x so that when the resulting polynomial is divided by x-2, the remainder is 3? |
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| 3182. |
The ratio of the base area and the curved surface area of a conical tent is 40:41. If its height is 18 m, find the air capacity of the tent in terms of pi. |
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| 3183. |
If the sum of the first n terms of an AP is 4n-n^(2) , what is the first term (note that the first term is S_(1))? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms |
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Answer» `a_(N) \ 5-2n` |
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| 3184. |
A cylinder has a diameter of 20 cm. The area of the curved surface is 100 cm^(2). Find the volume of the cylinder(in. cm^(3)). |
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| 3185. |
Find the 8^(th) term of the geometric progression : 5,10 20, . . . . . . . . . |
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| 3186. |
Angle ABC=60^(@) and BA=BC=8 cm. The mid-points of BA and BC are M and N respectively. Draw and describe the locus of a point which is : 4 cm from N. Mark the point P, which is 4 cm from both M and N, and equidistant from BA and BC. Join MP and NP, and describe the figure BMPN. |
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| 3187. |
The radii of two circle are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles. |
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| 3188. |
An car has two wippers do not overlap. Each wiper has a blade of length 25 cm sweeping through an angle of 115^(@). Find the total area cleaned at each sweep of the blades. |
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| 3189. |
How many part of a rectangular parallelopiped type hole of length , breadth and depth 48 cm , 16.5 cm and 4 cm respectively should be stuffed with the soil obtained by digging a right circular conicaltunnel of diameter4 meter and of length 56 metres ? |
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Answer» Solution :The volume of the soil obtained ` = (4/2)^(2) xx 56 `CUBIC - metre Again , the volume of the hole `= 48 xx 16.5 xx4`cubic - metre . LET x PART of the hole shouldbe stuffed `:.X xx 48 xx 16.5 xx 4 = pi xx 2^(2) xx 56 ` or , ` x = (22/7xx 4xx 56)/(48xx 16.5 xx 4 ) or , x = ( 22 xx 4 xx 8XX 10)/(48 xx 165 xx 4 ) or ,x = 2/9 ` Hence `2/9 ` part of the hole should be stuffed |
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| 3190. |
"cot"(pi)/(18)*"cot"(pi)/(9)*"cot"(4pi)/(4)*"cot"(4pi)/(18)*"cot"(7pi)/(18)=________. |
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| 3191. |
A sum of 1000 is invested at 8% simple interest per year. Calculate the interest at the end of each year. Do these interests form an AP? If so, find the interest at the end of 30 years. |
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| 3192. |
A drinking glass is in the shape of a first term of a cone of height 14 cm. The diameter of its two circular ends 4 cm and 2 cm. Find the capacity of the glass. |
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| 3193. |
'A xx B' means 'A is the brother of B' 'Adiv B' means ‘A is the daughter of B', what does P xx R div Q mean? |
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Answer» P is the brother of Q |
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| 3194. |
For what values of n, the nth terms of the following sequences are equal: 13, 19, 25, ..... and 69, 68, 67, ..... |
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| 3195. |
In which of the following situations, does the list of numbers involved form an arithmetic progression, and why? (i) The taxi fare after each km fare is 15 for the first km Rs.8 for each additional km. (ii) The amount of air present in a cylinder when a vacuum pump removes 1/4 of the air remaining in the cylinder at a time. (iii)The cost of digging a well, after every metre of digging, when it costs 150 for the first metre and rises by 50 for each subsequent metre. (iv)The amount of money in the account every year, when 10000 is deposited at compound interest at 8 % per annum. |
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| 3196. |
Solve the equations :(x - 4) (y - 4)= 16(y - 6) (z - 6)= 36(z - 8) (x - 8) = 64. |
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Answer» Solution :We have,(x - 4) (y - 4) = 16 implies XY - 4x - 4y + 16 = 16 implies4(x+y) = xy implies`(x+y)/(xy)=(1)/(4)""(because xy ne 0)` implies`(1)/(x) + (1)/(y) = (1)/(4) "" ….(1)` Also,(y - 6)(z - 6) = 36 impliesyz - 6y - 6z + 36 = 36 implies 6(y + z) = yz implies`(y+z)/(yz)=(1)/(6)""(because yz ne 0)` implies`(1)/(z) + (1)/(y) = (1)/(6) ""....(2)` and(z - 8) (z - 8) = 64 implies xz - 8Z - 8x + 64 = 64 implies implies8(x + z) = xz implies`(x + z)/(xz) = (1)/(8) ""(because zx ne 0)` implies`(1)/(z) + (1)/(x) = (1)/(8)""....(3)` Adding equations (1), (2) and (3), we get `2((1)/(x) + (1)/(y) + (1)/(z)) = (1)/(4) + (1)/(6) + (1)/(8)` implies `(1)/(x) + (1)/(y) + (1)/(z) = (6+4+3)/(24) xx (1)/(2)` implies`(1)/(x) + (1)/(y) + (1)/(z) = (13)/(48)"....(4)"` `therefore`From equations (1) and (4), we get `(1)/(4) + (1)/(z) = (13)/(48)implies(1)/(z) = (13)/(48) - (1)/(4) = (1)/(48)` `therefore z = 48`. From equations (2) and (4), we get `(1)/(6) + (1)/(x) = (13)/(48)` implies`(1)/(x) = (13)/(48) - (1)/(6) = (5)/(48)` ` implies x = (48)/(5)` From equations (3) and (4), we get `(1)/(8) + (1)/(y) = (13)/(48)` implies `(1)/(y) = (13)/(48)-(1)/(8) = (7)/(48)` `thereforey = (48)/(7)` So, `x = (48)/(5), y = (48)/(7), z = 48` |
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| 3197. |
Draw a DeltaABC in which AB=4 cm, BC=6 cm and AC=9cm. Construct a triangle similar to DeltaABC with scale factor (3)/(2). Justify the construction. Are the two triangles congruent ? Note that all the three angles and two sides of the two triangles are equal. |
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Answer» Solution :Steps of construction 1. Draw a line segment BC=6 cm 2. Taking B and C as centres, draw TWO ARCS of radii 4 cmand 9 cm INTERSECTING each other at A. 3. Join BA and CA. `DeltaABC` is the required triangle. 4. From B, draw any ray BX downwards making an acute angle. 5. Mark three points `B_(1),B_(2),B_(3)` on BX, such that `BB_(1)=B_(1)B_(2)=B_(2)B_(3)`.  6. Join `B_(2)C` and from `B_(3)` draw `B_(3)M||B_(2)C` intersecting the extended line segment BC at M. 7. From point M, draw MN||CA intersecting the extended line segment BA to N. Then, `DeltaNBM` is the required triangle whose sides are equal to `(3)/(2)` of the CORRESPONDING sides of the `DeltaABC`. Justification Here, `B_(3)M||B_(2)C` `:. (BC)/(CM)=(2)/(1)` Now, `(BM)/(BC)=(BC+CM)/(BC)` `=1+(CM)/(BC)=1+(1)/(2)=(3)/(2)` Also, MN||CA `:. DeltaABC ~DeltaNBM` Therefore, `(NB)/(AB)=(NM)/(AC)=(BM)/(BC)=(3)/(2)` The two triangles are not congruent because if two triangles are congruent, then they have same shape and same size. Here, all the three angles are same but three sides are not same i.e, one side is different. |
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| 3198. |
If x,y,z are variables , but (y+z-x) is a constant and if (x+y-z) prop (x+z-y) prop yz.Then prove that (x+y+z) prop yz. |
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| 3199. |
If the area of three adjacent faces of a cuboid are X, Y and Z respectively, then find the volume of the cuboid. |
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| 3200. |
If the surface area of a sphere is 100picm^(2), then its radius is equal to ……. . |
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Answer» 25 cm |
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