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.
| 5201. |
The mean of the following frequency table is 50. But the frequencies f1 and f2 in class 20-40 and 60-80 are missing. Find the missing frequencies: |
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| 5202. |
Find the missing frequencies in the following frequency distributionwhose mean is 50.1030507090 Total1732 f 19 120 |
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| 5203. |
Find the missing frequencies in the following frequency distribution if it is knownthat the mean of the distribution is 50.1030507090f:17 fi 32f2 19 Total 120. |
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| 5204. |
nean of the distslbution yf 3219 Total 120.Find the missing frequencies in the following frequency distribution if it is knownthat the mean of the distribution is 50.x: 10 30 50 70 90 |
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| 5205. |
candidates that appeared from school Ill.2. Find the missing frequencies in the following frequency distribution if t is knownthat the mean of the distribution is 50.90x:10 30 50 70f: 17 32 19 Total 120.ANSWER |
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| 5206. |
LONG ANSWER4. The mean ofANSWER TYPE PROBLEMSmean of the following data is 38.7. Find the missing frequencies f, and 12.0-100-10 10-202010-20 20-30Classes30-40 40-50 50-6060-70TotalFrequency 5 7 fi3f2 96 100(HL] |
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Answer» class frequency 20-30 6 30-40 F1 40-50 16 50-60 13 60-70 f2 70-80 2 total 50 YOUR ANSWER IS F1=9 and F2=4 FULL SOLUTION IS ATTACHED WITH IMAGE ☝☝☝ |
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| 5207. |
Frequencyof/0idAns.ence, a = 5, frequencies of 30 and 70 are 28 and 24 respectively.17.Find the missing frequencies, if mean of the following distribution is 18.10 15 20 2530 TotalCollin tahle |
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| 5208. |
The distribution below shows the number of wicketscricket matches :Number ofwickets | 20-60 | 60-100 | 100-150 | 150-250 250-350 T 350-450Number of bowlers 7taken by a bowler sa one-day5161223Find the mean number of wickets. |
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| 5209. |
43NAVNEETMATHEMATICS11. The distribution below shows the number of wickets tataken by a bowler in one-daycricket matchesNumber of wickets 20-60 60-100 100-150Number of bowlers7150-250 250-350 350 4502351612Find the mean number of wickets |
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| 5210. |
Find the volume of a cube whose surface area is 150 m² |
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| 5211. |
A school cricket team played 20 matches in one session. They won 75% of the matches. Howmany matches did they lose?, |
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Answer» won 75%matches so they lost 25% of matches25/100×20=5 |
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| 5212. |
Find the side of a cube whose surface area is600 cm2 |
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Answer» surface area is 6a^2=600cm^2hence a^2=100hence a=10cm |
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| 5213. |
ted the volume of a cube whose surface area is 150 |
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| 5214. |
Find the volume of a cube whose surface area is 150 m2 |
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| 5215. |
Find the side of a cube whose surfacearea is 1200 cm2 |
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Answer» Given surface area is 1200 cm²Surface area of cube = 6×(Side)²1200 = 6 × (side)²(side)² = 200side = √(200)side = 10√2 cm wrong |
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| 5216. |
Find the side of a cube whose surface area is 1200 cm2 |
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| 5217. |
ind the volume of a cube whose surface area is 96cm |
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| 5218. |
10. A conical hole is drilled in a circular cylinder of height i2 cm and base radius 5 cm.The height and the base radius of the cone are also the same. Find the whole surface |
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| 5219. |
28. A peacock is sitting on the top of a pillar, which is 9m high. From a point 27 m away from thebottom of the pillar, a snake is coming to its hole at the base of the pillar. Seeing the snake thepeacock pounches on it. If their speeds are equal at what distance from the whole is the snakecaught? |
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Answer» Let the distance covered by the peacock be AC = x mHence the distance covered by the snake is DC = x mIn right ΔABC, by Pythagoras theorem we haveAC^2= AB^2+ BC^2x^2= 9^2+ (27 – x)^2⇒ x^2= 81 + 729 – 54x + x^2⇒54x = 810∴x = 15 |
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| 5220. |
The population of a town is 80000. If the population increases at the rate of 75 per 1000, find the population of this town after 2 years. |
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Answer» In 1000 person net increase is 75 Therefore in 8000 net increase=75\1000×8000=600 Net increase in one year is 600 then net increase in two year=600×2=1200 Therefore total population after 2year is 8000+1200=9200 Hit like if you find it useful |
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| 5221. |
12. One tap can fill a water tank in40 minutes and another tap can makethe filled tank empty in 60 minutes. Ifboth the taps are open, in how manyhours will the empty tank be filled |
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| 5222. |
,pilg and ris a transversal such that 1-135. Find the measures of L2, 3、L4,gure S, ABI|ICD and PO is the transversal. If 21:22-3.2, find the measure of all the4. In Figureangles from 1 to 8.Fig. 5Fig. 4 |
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Answer» 5)Given,∠1:∠2=3:2Solution:∠1 and ∠2 are supplementary angles.So, ∠1+∠2=180°=>3x+2x=180°=>5x=180°=>x=36°so, ∠1=3x=3*36=108°and ∠2=2x=2*36=72° Now, ∠1=∠3 and ∠2 =∠4 (vertically opposite)so, ∠3=108°∠4=72° ∠4=∠6 and ∠3=∠5 ( alternate interior angles)so, ∠6=72° and ∠5=108°and finally, ∠5=∠7 and ∠6=∠8 ( vertically opposite)so, ∠7=108° and ∠8=72° |
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| 5223. |
A tap can fill a tank in 25 min and another tap can empty it in 50 min. If both are opened togethersimultaneously, then the tank will be filled in |
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| 5224. |
5. A tap can filla cistern in 8 hours and another tap can empty it in 16 hours. If both the taps are open, thetime (in hours) taken to fill the tank will be(a) 8(b) 10(c) 16(d) 24 |
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| 5225. |
A pipe can fill a tank in 'x' hours and another pipecan empty it in 'y'(y>x) hours. If both the pipes areopen, in how many hours will the tank be filled ? |
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| 5226. |
2.3.4.8. The given fish tank is filed with water to a depth of5 em. Rohit pours another 4 L of water into the tank.How much water is there in the tank now! Give youranswer in litres and millilitres25 cm30 em |
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| 5227. |
पं cos 58° आग 220Evaluate : ~sin32° ' ८०८68 3 |
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Answer» 1+1-(1/√3)2-1/√32√3-1/√3 what is this this is the answer to that question this is wrong this is right just do the rationalization |
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| 5228. |
Atrainpassesthetelegraph posts which are placed 76 metres apart alongside a railway tralintervals of 4 seconds. At what rate is the train travellingin km per hour? |
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| 5229. |
Verify whether 2,3 and 1/2 are the zeroes of the polynomial p(1)=2x^3-11x^2+17x-6. |
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Answer» yes all these are zeros of the equation |
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| 5230. |
A train passes the telegraph posts which are placed 76 metres apart alongside a railway track aintervals of 4 seconds. At what rate is the train travelling in km per hour? |
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| 5231. |
are the measures of the interior angles on the same side of a transversaley are equal to (2x+3) and (2x-3) respectively?K3. What |
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| 5232. |
onneA train passes the telegraph posts which are placed 76 metres apart alongside a railway track at :intervals of 4 seconds. At what rate is the train travelling in km per hour? |
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Answer» 76metre in 4secHence in 1sec=76/4=19mHence in m/s=19m/sfor km/hr multiply the speed value by 3.6hence 19*3.6=68.4m/s |
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| 5233. |
the t of them?12. A train passes the telegraph posts which are placed 76 metres apart alongside a railway track atintervals of 4 seconds. At what rate is the train travelling in km per hour? |
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| 5234. |
12. A dice is rolled 100 times and its outcomes are as followsOutcomesFrequency 12618421Find the probability of gettinga. A muitiple of 3. |
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Answer» Probability=frequency of multiple of 3/total outcome =(20+18)/100 =19/50 hit like if you find it useful |
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| 5235. |
12. A dice is rolled 100 times and its outcomes are as follows6414Outcomes lFrequency 12Find the probability of getting211520a. A multiple of 3. |
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| 5236. |
Find the mode of the following frequency distributionsClass0-6:76 1212-181018 2412 624 30Frequency |
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| 5237. |
(ii) 5 pencils and 7 pens together cost 50, whereas 7 pencils and 5 pens togethercost 46. Find the cost of one pencil and that of one pen. |
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| 5238. |
(ii) 5 pencils and 7 pens together cost50, whereas 7 pencils and 5 pens togethercost ? 46. Find the cost of one pencil and that of one pen. |
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Answer» Let pencil be x and let pen be y5x+7y=507x+5y=46multiply first equation by 735x+49y = 350multiply second equation by 535x+25y=230solving them we get 24y=120 which gives y is 5 rupeessubstituting in second equation we get x is 3 rupees |
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| 5239. |
The runs scored by two teams A and B on the first 60 balls in a cricketbelowmatch are given7.Team ATeam BNumber of balls1-67-1213-1819-2425-3031-3637-4243-4849-5455-6010410410Represent the data of both the teams on the same graph by frequency pHint: First make the class intervals continuous.] |
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| 5240. |
11. If 5 pencils and 7 pens together cost 50whereas 7 pencils and 5 pens together cost46. Form the linear equations and findthe cost of one pencil and that of one pen. |
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| 5241. |
0 5 pencils and 7 pens together cost t 50, whereas 7 pencils and 5 pens togethercost 46. Find the cost of one pencil and that of one pen. |
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Answer» Let the cost of pencil be x and the cost of the pen be y 5x + 7y = 50 . . . . . (1)7x + 5y = 46 . . . . . (2) (1) × 7 35x + 49y = 350 . . . . . (3) (2) × 5 35x + 25y = 230 . . . . . (4) (3) - (4) 24y = 120 y = 5 substituting in (2) we get x = 3 Therefore, Cost of pencil = ₹3Cost of pen = ₹5 |
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| 5242. |
5 pencils and 7 pens together cost rs.50 where as 7 pencils and 5 pens together cost Rs.46.Find the cost of one pencil and that of one pen.(Any method) |
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Answer» let cost(in RS) of one pencil = x cost (in RS) of one pen = yTherefore , according to question 5x+7y = 50 ........ (1) 7x + 5y = 46 .........(2)Multiply equation 1 by 7 equation by 5 we get 7(5x+7y)= 7*50 35x +49y = 350 .......(3) 5(7x +5y) = 5*46 35x +25y = 230 ....... (4) Subtract equation 4 from equation 3 , we get 35x + 49y - 35x - 25y= 350 -230 49y -25y = 120 24y = 120 y = 120 /24 y= 5Substitute y=5 in equation 1 , we get 5x + 7*5 =50 5x+35 =50 5x = 50 - 35 5x =15 x= 15/5 x=3 Hence Cost of One Pencil = x =3 Cost of One Pen =y =5 |
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| 5243. |
Veniy whether the points (1,5), (2,3) and (-2,-1)are collinear or not. |
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| 5244. |
निम्न कथनों में बॉक्स में उपयुक्त चिन्ह (<, >, = ) लगाइए।(i) -14 + 11 + 514 - 11 - 5(ii) 30 + (-5) + (-8) | (-5) + (-8) + 30(iii) 7 + 11 + (-5) - (-7) - 11 +5(iv) (-14) + 11 + (-12) | | 14 + 11 + 12(v) 6 + 7 - 13 | | 6 +7+ (-13) |
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Answer» correct answer is (i) >(ii) =(iii) >(iv) <(v) = please like and accept as best answer (i)>ii)=iii)>iv)<v)= i. )>ii.)=iii)>iv) <v) = i)>ii)=iii)>iv)<v)= 1) -14+11+5=16-14=214-11-5= 14-16= -2-14+11+5>14-11-52) 30(-5)+(-8) 30-13=17(-5=+(-8)+30= -13+30=1730+(-5)+(-8)= (-8)+(-5)+30 3)7+11+(-5)=18-5=13*-7)+-11+5=-18+5= -137+11+(-5)>(-7)+(-11)+5 4)(-14)+11+(-12)=11-25= -1414+11+13=38(-14)+11+(-11)<14+11+13 i)>ii)=iii)>iv)<v)= |
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| 5245. |
Ifthe mean ofthe following frequency distribution is 7.2 find value ofK'2 46 8 10 124 7 10 16 K3 |
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| 5246. |
value ofthe minimum and mosumumIM)=sin32 +4 are respectivelyc) Eko6) 6& 45 k3 |
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Answer» hope it helps u |
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| 5247. |
4. निम्न कथनों में बॉक्स में उपयुक्त चिन्ह (<, >, = ) लगाइए।(i) -14 + 11 + 514 - 11 - 5(i) 30 + (-5) + (-8)(-5) + (-8) + 30(iii) 7 + 11 + (-5) | (-7) - 11 +5(iv) (-14) + 11 + (-12) | 14 +11+ 12(v) 6 +7 - 136 +7+ (-13) |
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Answer» 1] > 2] =3] >4] <5] = (i) -14+11+5( )14-11-5 -14+16. ( )14-16 2. ( ) -2 > 1. >2. = 3. >4. <5. = |
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| 5248. |
e sides of a triangle are in the ratio 3:4:5. verify whether the trianright-angle triangle or not?5. Verify whether the triangle formed is a |
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Answer» Let the ratio of sides be x so sides are 3x, 4x, 5x So, observe this (3x)² + (4x)² = (5x)² 9x² + 16x² = 25x² 25x² = 25x² 25 = 25, This shows pythaogras theorem applicable hence given is right angled triangle |
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| 5249. |
Example S : Verify whether 2 and 0 are zeroes of the polynomial x 2 |
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Answer» put x = 0 x²-2x = 0²-2×0 = 0yes x=0 is root of polynomialput x = 2x²-2x= 2²-2×2 = 4-4 = 0yes x=2 is also zero polynomial |
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| 5250. |
le 5: Verify whether 2 and 0 are zeroes of the polynomial -2x.venify whether 2 and 0 are zerocs of the polynomial |
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Answer» if we put x=2 2^2-2*2=4-4=0if we put x=0 0^2-0=0so roots are 0 and 2 |
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