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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.
| 77651. |
19. If the radius of a sphere is doubled, then itsvolume becomes how many times the original |
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Answer» radius = 2rvolume = 4/3πr^3 = 4/3×π×(2r)^3 = 4/3×π×8r^3 = 8 × (4/3×πr^3)so , if radius is doubled then volume is 8 times of its original |
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| 77652. |
48,iiduces electric bulbs. If I out of every 10 bulbs is defective and the factoryper day, find the number of defective bulbs produced each dayTO |
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Answer» thanks |
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| 77653. |
Example 8. A factory has three machines X, Y, Z producing 1000,2000 and 3000 bolts per day respectively. Machine X produces 1%defective bolts, Y produces 1.5% and Z produces 2% defective bolts.At the end of a day, a bolt is drawn at random and is founddefective. What is the probability that the defective bolt has beenproduced by machine X. |
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Answer» give complete solution |
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| 77654. |
Fig.30. A manufacturer of TV set produced 600 sets in the third year and 700 sets in the seventh yearAssuming that the production increases uniformly by a fixed number every year, find:(6) the production in the first year(a) the production in the 10th year.(ii) the total production in first 7 years |
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| 77655. |
Fig. 6.32. In Fig. 6.33, PQ and RS are two mirrors placedparallel to each other. An incident ray AB strikesthe mirror PQ at B, the reflected ray moves alongthe path BC and strikes the mirror RS at C andagain reflects back along CD. Prove thatAB II CD.A什Fig. 6.33 |
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| 77656. |
min; A and C together would take 15 min. How lony woulu elcir wll6. A and B can do a piece of work in 6 days and 4 days respectively. A started the work; worked at it for2days and then was joined by B. Find the total time taken to complete the workthnk hirh A ran d in 6 days, B in 8 days and C in 4 days. If all work together, how |
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| 77657. |
18. A lary produces 6905 Screws per udy. How many sucws wmil pivuucum ouo uays19. Mr Bhaskar saves 8756 every month. How much money will he save in 13 years? |
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Answer» Given: Savings for Mr ,Bhaskar in a month=Rs.8756Thus, savings for a year=Rs 8756×12=Rs.105072 Now savings for 13 years=105072×13= Rs.1,365,936 |
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| 77658. |
12. A factory produces electric bulbs. If 1 out of every 10 bulbs is defective and the factoryproduces 630 bulbs per day, find the number of defective bulbs produced each day |
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| 77659. |
A factory produces electric bulbs. If 1 out of every 10 bulbs isproduces 630 bulbs per day, find the number of defective bulbs |
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| 77660. |
of radio sets produced 600 units in the third year and 700 units in thear. Assuming that the product increases uniformly by a fixed number everythennd () the production in the first year (i) the total product in 7 years and (il)inarproduct in the 10th year25 trees at equal distances of 5 metres in 1 |
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| 77661. |
S0. A manufacturer of TV set produced 600 sets in the third year and 700 sets in theAssuming that the production increases uniformly by a fixed number every year, f(i) the production in the first year(i) the production in the 10th year(ii) the total production in first 7 years.nd: |
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| 77662. |
3o. A manufacturer of TV set produced 600 sets in the third year and 700 sets in the seventh vAssuming that the production increases uniformly by a fixed number every year, find:o the production in the first year() the production in the 10th year.(i) the total production in first 7 years. |
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| 77663. |
है उसी समय पर9. एक 5m 60 cm ऊंचे ऊर्ध्वाधर खंभे की छाया की लंबाई 3m 20 cm है। उसी,जात कीजिए0 10m 50 cm ऊँचे एक अन्य खंभे की छाया की लंबाईउस खभे की ऊँचाई जिसके छाया की लंबाई 5m हैशतिनाव |
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Answer» option B is correct answer |
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| 77664. |
Fig. 6.326. In Fig. 6.33, PQ and RS are two mirrors placedparallel to each other. An incident ray AB strikesthe mirror PQ at B, the reflected ray moves alongthe path BC and strikes the mirror RS at C andagain reflects back along CD. Prove thatAB II CDCsFig. 6.33 |
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| 77665. |
PB6. In Fig. 6.33, PO and RS are two mirrors placedparallel to each other. An incident ray AB strikesthe mirror PQ at B, the reflected ray moves alongthe path BC and strikes the mirror RS at C andagain reflects back along CD. Prove thatABICD.Fig. 6.33 - |
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Answer» Solution:Let draw BM ? PQ and CN ? RS.Given that� PQ || RS so that� BM || CNUse the property of Alternate interior angles?2 = ?3 �������� � (1)?ABC = ?1 + �?2But ?1 =� ?2 so that?ABC = ?2 +� ?2?ABC = 2?2Similarly?BCD = ?3 +� ?4But ?3 =� ?4 so that? BCD = ?3 +� ?3? BCD = 2?3From equation first?ABC = ?DCBThese are alternate angles so that AB || CDHence proved |
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| 77666. |
A train to anotheta speed of 5 m per second. How much time wll he takestation to anothestatidlete runs at a speed of 5 m per sehe iit 5 km ?of 1 14 |
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Answer» v=5 m/sd= 5 km =5000 m v×t=d5×t=5000 t=1000 secs. |
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| 77667. |
o produces 6985 screws per day. How many screws will it produce in 358 day |
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| 77668. |
ater reservoir is 12 m long,9 m wide, and 6 m high. Water is being pumped out at the rateof 180 litres per minute. In hรณw many hours will the reservoir be empty%) The rainfall recorded one day was 6 cm. Find the volume of water that fell on a field of area+23 hectare.VOLUME AND CAPACITYolvedExamples |
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| 77669. |
9. (a) The diameter of a road roller, 120 cm long is 70 cm. If it tatakes 500 revolutions to leveldetermine the cost of levelling it at the rate of25 per square |
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Answer» now cm^2 to m^2=13200000/10000=1320m^2 cost of levelling=1320×25=33000 Ans |
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| 77670. |
of the debt unpaidA manufacturer of TV sets produced 6000 units in the third year7000units in the seventh year. Assuming that the productionincreasesuniformly by a fixed number every year, find the production () in the firstyear, (ii) in the 10th year, (iii in 7 years.year, (iii) in 7 years. |
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| 77671. |
6. ) In Fig. 6.33, PQ and RS are two mirrors placed←_auioparallel to each other. An incident ray AB strikesthe mirror PQ at B, the reflected ray moves alongthe path BC and strikes the mirror RS at C andagain reflects back along CD. Prove thatAB II CD.Fig. 6.33 |
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| 77672. |
6. h Fig. 6.33, PQ and RS are two mirrors placed Pparallel to each other. An incident ray AB strikesthe mirror PQ at B, the reflected ray moves alongthe path BC and strikes the mirror RS at C andagain reflects back along CD. Prove thatAB II CD |
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| 77673. |
In Fig. 6.33, PQ and RS are two mirrors placeduLLparallel to each other. An incident ray AB strikesthe mirror PQ at B, the reflected ray moves alongthe path BC and strikes the mirror RS at C andAagain reflects back along. CD. Prove thators placed LLLLLOLLAAKAB CD.Fig. 6.33 |
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| 77674. |
21. Water is dripping out from a conical funnel atthe rate of 5 cc per second. If the radius of baseis 10 cm and height is 20 cm. then, find the rateat which the level of water in it is rising when thedepth is 5 cm. |
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Answer» your concept is correct but calculation is incorrect |
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10. Two water taps together can ill a ank in hours. The ta lrge diameter takes 10 hourslIes hanothe smailer one to fill the tank separately. Find the time in which each tap can separately fill the tank. |
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Answer» Thanku |
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| 77676. |
3. Baluate the following:53Evaluate according the Rule 3:334Evaluate:6) Evaluate:332:15- X3-1 +623x555X Хvalue of x for which333(2x-144value of x for which4X9996) ? be multiplied so that t |
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| 77677. |
the eexteIsFig. 6.32. In Fig. 6.33, pO and RS are two mirrors, placedezAlsparallel to each other. An incident ray AB strikesthe mirror PQat B,the reflected ray moves alongthe path Be and strikes the mirror RS at C andAagain reflects back along CD. Prove thatAB JCD.FroC S ThFig. 6.33 |
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| 77678. |
A particle moves along a straight line and itsvelocity at a distance 'x' from the orign isk \sqrt{a^{2}-x^{2}}. Then accelertion of the particle is |
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Answer» v=kroot(a^2-x^2)a=dv/dt=k*(-2x)/(2root(a^2-x^2))=-kx/root(a^2-x^2) |
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| 77679. |
. A stone is dropped into a quiet lake and waves move in circles at a speed of 4 cm persecond. At the instant when the radius of the circular wave is 10 cm, how fast is theenclosed area increasing ? |
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| 77680. |
A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. Whatis the probability that the ball drawn is red ?16.2 |
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| 77681. |
\log x+\log (x-5)=\log 6 |
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Answer» log x + log (x-5) = log 6 log x(x-5) = log 6So, x(x-5) = 6 x² - 5x - 6 = 0x² + x - 6x - 6 = 0 x(x+1) -6(x+1) = 0 (x+1)(x-6) = 0x = 6 , - 1ignoring (-1)So, x = 6 is only solution |
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| 77682. |
e the equation s=ut+1/2 at^2 for uniform acceleratedmotion on a linear path by graphical method. |
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| 77683. |
The average age of 4 sisters is7 years. If we add the ageof mother, then the averageincreases by 6 years. Find theage of the mother. |
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Answer» 4*7=285*6=3030-28=2 answer |
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(5)... अद्दितीय हल के लिए निम्न प्रतिबंध हैःG e by ; e, B o3 == & L¢ ) o ba a, TRay by c ay by1 ( — =i = र, G |
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L T Th Th H T O5 5 4 4 3 3- 2 2 1 1 0 3 |
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Answer» answer of the question is 3lakh 33thousand 3hundred and thirty 333330 this is the answer |
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/â7% pud f "X 10} BA|OS ' % (2 20 |
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Answer» 10x + 6 + 13x - 2 + 8x - 1 + 180 - 71 = 360 31x - 68 = 360 31x = 428 x = 13.80 If you find this answer helpful then like it. |
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Water is pouring into a cubiodal reservoir at the rate of 2.5 litres per second. If thedimension of the reservoir are 75cmĂ100cmĂ64cm. Calculate the time taken to fill thereservoir(in seconds). |
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Answer» Rate of flow of water = 2.5 litres/second Volume of the tank =480000 cm³=0.48m³ 1 m³ = 1000 litres 0.48m³ = 480 litres Time taken to fill the complete tank = 480/2.5 = 192 seconds Hence,The tank will be filled completely in 192 seconds |
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20. A hemispherical tank, full of water, is emptied by a pipe at the rate of254 litres per second. How much time will it take to empty half the tankCBSE 2012if the diameter of the base of the tank is 3 m? |
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s.A hemi-spherical tank full of water is emptied by a pipe at the rate of 7 litres per second Howmuch time will it take to halfempty the tank, ifthe tank is 4.2m in diameter? |
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From a pipe of inner radius 0.75 cm, waterflows at the rate of 7 cm per second. Find thevolume in litres of water delivered by thepipe in 1 hour. |
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| 77691. |
2. The total mass of 8 packets, each of the same size is 10 kg 600 g. What is the total masssuch packets? |
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Answer» 1 packets=10kg 600g8 packet=8*10.6=84.8kg 1 packet = 10 kg 600 g8 packet = 8*10.6 kg= 84.8 kg |
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A bag contains 3 red balls and 5 black balls. A ball is drawnat random from the bag. What is the probability that the balldrawn is (a) red and (b) not red?2 |
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Answer» Like if you find it useful |
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Atmiya Institute of Technolstions for three marks:Solve: log, (r+5)+ log, (r-2) 3 |
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13. The change for a mobile phone call costing Rs 1 is increased by 10% what is the new charge?[ Ans: Rs 1.10%) |
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Answer» Thanks for giving my answer can you solve my que no 11 I posted it |
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| 77695. |
A disaster relief team consists of engineers and doctors in the ratio of 2:5. (1) if there are 18 engineers find the number of doctors (2) if there are 65 doctors, find the number of engineers |
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Answer» Ratio of E/D = 2/5 1) => E = 2D/5 so when E = 18 , D = 5*18/2 = 45 when D = 65 => E = 2*65/5 = 26 |
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The average age of consisting doctors and lawyers is 40. If the doctors average age is 35and theIl.lawyers average age is 50, find the ratio of the number of doctors to the number oflawyers |
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Answer» Let , number of doctors= xnumber of lawyers= y Sum of age of x doctors÷ x = 35Sum of age of x doctors = 35x Sum of age of y lawyers÷ y = 50Sum of age of y lawyers= 50y [(sum of age of x doctors) + (sum of age of y lawyers)] ÷ ( x+y) = 40(35x+50y) ÷ (x+y) = 4035x+50y = 40(x+y)35x+50y = 40x +40y50y-40y=40x-35x10y=5x2y=1x2/1 = x/y x : y = 2 : 1 |
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Question mumbers 23 to 30 carry 4 marks each.s Prove that v2 is an irrational number Hence show thatis also an irrational number. |
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Answer» Given √2 is irrational, let 3/√(2) be rational so, 3/√2 = p/q , where q is not 0 , HCF(p,q) = 1 √2 = 3q/p So, we see RHS is not equal to LHS as LHS is irrational and LHS is rational.Therefore a contradiction, so 3/√2 is irrational |
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If the cost price of 16 eggs is the same asthe selling price of 12 eggs. Find the profitor loss percent |
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Answer» 16CP=12SPso SP=4/3CPso profit=(4/3CP-CP)/CP*100=100/3=33.33% |
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10. Cost of 4 dozen bananas is 104. How aily bal Th sst f 1 chairs is 22770. How many such chairs can be bought for R 101207 |
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Answer» 22770Rs=18 chairs1Re=18/2277010120Rs=18*10120/22770=8 chairs |
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Sample Paper 4Section D(Questions 23 to 30 carry 4 marks each)ifference is 8°. Find the number of sides of the polygon. |
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Answer» Given smallest interior angle is 52° Common difference is 8° Each of the interior angle increases by 8° Hence exterior decreases by 8°Exterior angle corresponding to 52° = 180° - 52° = 128° Next exterior angle = 128° - 8°=120° and so onHence the AP is 128°, 120°… Sum of exterior angles of a polygon = 360° That is 128° + 120° +… n terms = 360°Sum of n terms of AP is (n/2)[2a + (n – 1)d]Hence, 360° = (n/2)[2(128°) + (n – 1)(-8°)]720 = n(256 – 8n + 8)8n2– 264n + 720 = 0n2– 33n + 90 = 0n2– 30n – 3n + 90 = 0n(n – 30) – 3(n + 30) = 0(n – 30)(n – 3)=0n – 30 = 0 or n – 3 = 0Thus n = 30 or n = 3But n cannot be 30 as the exterior angles become negative after few terms.Thus n = 3 |
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