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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.
| 1151. |
Mean of the prime numbers between 3 and 15 is? |
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| 1152. |
A right circular cylinder just enclose a sphere of radius r Find ( i)surface area of the sphere (ii) curved surface area of the cylinder (iii) ratio of the areas obtained in (i) and (ii) |
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Answer» (II) `4pir^(2)` (III) 1:1 |
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| 1153. |
The ratio of the angles of a quadrilateral is 1:2:3:4. Find the smallest angle of the quadrilateral. |
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| 1154. |
ABCD is a rhombus . If AC=6cm and BD=9 cm, then ar(ABCD)=___ cm^2 |
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Answer» 15 |
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| 1155. |
Delta APQ, Delta BPQ and Delta CPQ are three isosceles triangles with the same base PQ. Show that the points A,B and C collinear. |
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| 1156. |
A TV channel or organised SMS (Short Message Service) poll on prohibition on smoking giving options like A- complete prohibition, B- prohibited in public places only, C- not necessary, SMS results in one hour were Represent the amount of data is grouped frequency distribution table. How many appropriate answers were received? What was the majority of peoples' opinion? |
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Answer» Total APPROPRIATE answers=65 Majority of people's opinion=B (Prohibition in PUBLIC PLACES only) |
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| 1157. |
Factories 25 x ^(2) + 16 y ^(2) + 4z ^(2) - 40 xy + 16 zy - 20xy |
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| 1158. |
Find the resulting mean, if each observation, given above, is : (i) increased by 3. (ii) decreased by 2. (iii) multiplied by 4. (iv) divided by 5. |
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Answer» (II) `11*5` (iii) 54 (iv) `2*7` |
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| 1159. |
Examine, whether the following numbers are rational or irrational : (3+sqrt3)(3-sqrt3) |
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| 1160. |
If angleA and angleB are supplementary angles, where angleA=x+10^(@) and angleB=x-10^(@), then find angleA and angleB. |
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| 1162. |
How does the total surface area of a box change if (i)Each dimension is doubled? (ii)Each dimension is tripled? Express in words .Can you find the total surface area of the box if each dimension is raised to n times? |
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Answer» 9 times of original area (III)`n^(2) ` times |
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| 1163. |
Factorise y^(2) - 5y + 6 by using the factor theorm. |
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| 1164. |
Simplify the following expressions. (5+sqrt7)(2+sqrt5) |
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| 1165. |
Factorise : 49x^(2) + 28xy + 4y^(2) |
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| 1166. |
Factories (i) 25 x ^(2) + 16 y ^(2) + 4z ^(2) - 40 xy + 16 yz - 20zx (ii) 9a ^(2) + 4b ^(2) + 16 c ^(2) + 12 ab - 16 bc - 24 ca |
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Answer» (II) `(3a + 2B -4c) ^(2)` |
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| 1167. |
Sachin and Sehwag scored 137 runs together. Express the information in the form of an equation. |
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| 1169. |
A certain sum amounts to Rs 77,000 in 5 years and to Rs 68,200 in 3 years, under simple interest. If the rate of interest is increased by 2%, then in how many years will it double itself? |
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Answer» 8 |
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| 1170. |
Which one of the following is the pictorial representation of data? |
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Answer» RAW data |
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| 1171. |
State whether the following statements are true or false. Justify your answers. (iii) Every real number need not be a rational number |
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| 1172. |
Express the following statements in the form of two simultaneous linear equations in two variables and determine whether these equations are solvable or not by the method of finding the relations among the ratios of the co-efficients of the same variables and the constant terms : Judhisthir bought 2 art-paper and 5 sketch-pen for Rs. 16. His elder brother Ramsundar also bought 4 art-paper and 10 sketch-pen for Rs. 28. |
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| 1173. |
Draw a line segment AB of 4cm in length . Draw a line perpendicular to AB through A and B, respectively. Are these lines parallel? |
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Answer» Solution :To DRAW a line perpendicular to `AB` through `A` and `B`, respectively. Use the following steps of construction. (i) Draw a line segment `AB = 4cm`. (ii) Taking `A` as centre and radius more than `(1)/(2)AB` (i.e., 2 cm) draw an arc say it intersect `AB` at `E`. (iii) Taking `E` as centre and with same radius as above draw an arc which intersect previous arc at `F`. (iv) Again, taking `F` as centre and with same radius as above draw an arc which intersect previous arc (obtained in step ii) at `G`.  (v) Taking G and F are CENTRES, draw arcs which intersect each other at H. (vi) Join AH. Thus , AX is perpendicular to AB at A. Similarly, draw `BY bot AB` at B Now, we know that if two LINES are parallel , then the angle between then will be `0^(@) or 180^(@)` . Here, `angleXAB = 90^(@) [becauseXA bot AB]` and `angleYBA = 90^(@) [becauseYB bot AB]` `:.angleXAB + angleYBA = 90^(@) + 90^(@) = 180^(@)` So, the lines XA and YB are parallel. [since, it sum of interior angle on same side of transversal if `180^(@)` , then the two lines are parallel] |
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| 1175. |
Express each of the following decimal numbers in (p)/(q) form 0.bar(36) |
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| 1176. |
Construct trianglePQR in which QR = 2.1 cm, angleP=46^(@) and PQ+PR=5.1 cm. |
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Answer» SOLUTION :STEP 1: construct `angleQS=PQ + PR=5.1` cm. Step 2: Construct `angleQSR =1/2(46^(@))=23^(@)`. Step 3: With Q as the center and the radius 2.1 cm (QR = 2.1cm), draw an ARC to intersect SX at R and `R^(')`. Step 4: Join (QR) or `(QR^('))` and draw the perpendicular BISECTOR of SR ( or `SR^('))` to intersect `bar(QS)` at P(or `P^('))`. PQR (or `P^(')QR^('))` is the required triangle. 
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| 1178. |
p(x) =x +2. Find p(1), p (2),p (-1) and p (-2). Which among 1,2,-1 and -2 becomes the 0 of p (x) ? |
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| 1179. |
Plot the points (x,y) given in the following table on the plane, choosing suitable units of distance on the axes. |
Answer» SOLUTION :Let 1 UNIT =1CM, then positions of given in the cartesian plane are given below. 
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| 1180. |
In the given figure A,B,C and D are four points on a circle, AC and BD intersect at a point E such that angleBEC=130^(@) and angleECD=20^(@). Find angleBAC. |
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| 1181. |
In the followingfigure, ABC and BDEare twoequilateral triangles such thatD is themidpointof BC.If AEintersectsBC at F, show that (i) ar (BDE) = 1/4 ar (ABC) (ii) ar (BDE) = 1/2 ar (BAE) (iii) ar (ABC)= 2 ar (BEC) (iv) ar (BFE) = ar (AFD) (v) ar (BFE) = 2 ar (FED) (vi)ar (FED) = 1/8ar(AFC) |
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Answer» (ii) `1/2` (iii) 2 (iv) ` tirangle AFD ` (v) 2 (VI) `1/8` |
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| 1182. |
If the mid points of the sides AB and AC of a triangle ABC are (3,5) a n d (-3,-3) then the length of the side BC in cm is |
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| 1183. |
A conical tent is 10 m high and the radius of its baseis 24 m. Find(i) slant height of the tent.(ii) cost of the canvas required to makethe tent, if the cost of 1\ m^2canvas is Rs 70. |
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Answer» (II) RS. 1,37,280 |
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| 1185. |
Use suitable idntities to find the following products (i) (x +5) (x +2) (ii) (x-5) (x-5) (iii) (3x +3) (3x -2) (iv)(x ^(2) + (1)/( x ^(2)) )(x ^(2) - (1)/( x ^(2))) (v) (1+x) (1+x) |
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Answer» (ii) `x ^(2) -10x +25` (iii) `9x ^(2) -4` (iv) `x ^(4)- (1)/(x ^(4))` (v) `1+ 2X +x ^(2)` |
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| 1186. |
Factorise : 8x^(3) + y^(3) + 27z^(3) - 18xyz |
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| 1187. |
Construct DeltaABC in which BC = 5.2 cm, angleB = 50^(@) and AC - AB = 2 cm. |
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Answer» Solution :Steps of construction : 1. Draw `BC = 5.2 cm.` 2. Construct `anglePBC = 50^(@)` 3. Produce `PB` and cut `BD = 2 cm.` 4. Join `CD` and draw the PERPENDICULAR BISECTOR of `CD` which intersect `BP` at `A`. Join `AC.` `therefore DELTAABC` is the required triangle. 
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| 1188. |
On the occasion of New year's day a sweet stall prepared sweet packets. Number of sweet packets and cost of each packet are given as follows. Find the mean, median and mode of the data. |
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| 1189. |
Ray 1 is the bisector of an angle angle A and B is any point on I. BP and BQ are perpendiculars from B to the arms of angle A (see the given figure). Show that: (i) triangleAPB=triangleAQB (ii) BP = BQ orB is equidistant from the armsof angleA |
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| 1190. |
Given that angleX and angleY are supplementary angles. If angleX=5 angleY, then find angleX and angleY. |
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| 1191. |
Write down the numbers which is the least positive integer and the greatest negative integer. |
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| 1192. |
Monicahas a piece of canvas whose area is 551\ m^2.She uses it to have a conical tent made, with a base radius of 7 m. Assumingthat all the stitching margins and the wastage incurred while cutting,amounts to approximately1\ m^2, |
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| 1193. |
Calculate the compound interest accrued on Rs 6,000 in 3 years, compounded yearly, if the rates for the successive years are 5%, 8% and 10% respectively. |
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| 1194. |
Evaluate each of the following using proper identity :15^(3) - 9^(3) - 6^(3) |
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| 1195. |
A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required. |
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Answer» 99.825 `m^(2)` canvas is REQUIRED to cover the conical heap of wheat to protect it from RAIN. |
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| 1196. |
The mean weight of 120 students of a school is 52*75 kg. If the mean weight of 50 of them is 51 kg, find the mean weight of the remaining students. |
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| 1197. |
For each of the points given below , checkwhether it is a solution of equation 2x +3y = 24 or not : (-sqrt3,2sqrt3) |
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| 1198. |
ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that angle ABD = angle ACD. |
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| 1199. |
When a balanced die is thrown, the probability of receiving a prime number is ........ |
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Answer» `2/3` |
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| 1200. |
Identify the scale used on the axes of the adjacent graph. Write the frequency distribution from it. |
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Answer» on X axis =1 cm =10 number of STUDENTS `(##NCERT_BEN_MAT_IX_C09_E01_006_A01##)` |
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