InterviewSolution
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| 1651. |
A hemispherical bowl of internal diameter 36 em contains liquid. Thisliquid is filled into 72 cylindrical bottles of diameter 6 em. Find the heightof the each bottle, if 10% liquid is wasted in this transfer. |
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Answer» Given : Diameter of hemispherical bowl = 36 cm , So radius of hemispherical bowl, r = diameter/2 = 18 cm And we know Volume of hemisphere =2πr^3/3, So Volume of hemispherical bowl =2/3πr^3=2/3π18^3cm^3And ,now, the liquid is transferred into 72 bottles and 10% liquid is wasted in this transfer.So,volumeofliquidthatistransferred=2/3π18^3-10/100×2/3π18^3=9/10×2/3π18^3cm^4 Given diameter of each cylindrical bottle = 6 cm , So radius , R = 3 cmAnd let the height of each bottle = h cmWe know volume of cylinder =πR^2h, So we get72πR^2h=9/10×2/3π18^3⇒72×π×32×h=9/10×2/3π18^3⇒h=5.40cmSo,Height of each cylindrical bottle =5.40 cm ( Ans ) |
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| 1652. |
Calculate the perimeter of a regular hexagon with vertices on a circle ofdiameter I centimetre.(3) |
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Answer» In an regular hexagon inscribed in a circle, its side is equal the radius.P= 6 * side6*0.53cm |
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| 1653. |
L21. Find the area ot the qualC(14, 0) and D(9, 19).22.) A hemispherical bowl of internal diameter 30 cm contains some liquid. Thisndhquid ÄŻs to be filled into cylindrical shaped bottles each of diameters crmheight 6 cm. Find the number of bottles necessary to empty the bowl. |
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Answer» hit like if you find it useful |
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| 1654. |
29. Hemispherical bowl of internal diameter 36cm contains liquid. This liquid isfilled into 72 cylindrical bottles of diameter 6 cm. Find the height of the each bottleif 10% liquid is wasted in this transfer |
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Answer» Like if you find it useful |
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| 1655. |
S. A hemispherical bowl of internal diameter 30 cm contains some liquid.This liquid is to be filled into cylindrical-shaped bottles each ofdiameter 5 cm and height 6 cm. Find the number of bottles necessary to[CBSE 2004, '11]empty the bowl. |
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| 1656. |
8. A hemispherical bowl of internal diameter 30 cm contains some liquid.This liquid is to be filled into cylindrical-shaped bottles each ofdiameter 5 cm and height 6 cm. Find the number of bottles necessary toCBSE 2004, '11]empty the bowl. |
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| 1657. |
A cylindrical container with internal radius ofits base 10 cm, contains water up to a heightof 7 cm. Find the area of the wet surface ofthe cylinder |
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Answer» the answer in the answer sheet is 754.29 cubic cm |
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| 1658. |
6/100 %2B 3/10 %2B 6 %2B 40 %2B 100 |
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Answer» the right answer is 146.36 the right answer is 146.36 the right answer is 14.96 the answer of the question is 146.36 |
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| 1659. |
9/100 %2B 2/10 %2B 5 %2B 30 %2B 200 |
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| 1660. |
-24 %2B 45/5 %2B 100 |
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Answer» a.100+45/5-24=67 sixty-seven 85 is the answer of DMAS =100+45÷5-24=100+9-24=109-24=85 |
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| 1661. |
(2 %2B 100)*(4*d %2B 200) |
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| 1662. |
sqrt(4 %2B sqrt(44 %2B 100)) |
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| 1663. |
कीजिए-(—b)(+b)—(a+b)(a+b)(-b)(a—b)+(a-b)?(23x—17y) 3x + 1.7y + 5) - 5292 + 2.89 की(a+b)? b)?(r+y+z)X(x+y+2) e e| BB o)+ (एन छो (एन व +(c=a) (=b) LB R L il L e e ian 7 o onT KR (५.5 अब |
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Answer» a) (a^2 - b^2) - (a^2 + b^2 + 2ab)= -2b(b +a)b)a^3 -ab -a^2b^2 + b^3 + a^2 + b^2 -2ab=a^3 + b^3 + a^2 + b^2 -a^2b^2 -3ab d)4abe)x^2 + y^2 + z^2 +2xy +2yz +2zxc)(2.3x - 1.7y)(2.3x + 1.7y +5) -(2.3x -1.7y)(2.3x+1.7y)=(2.3x - 1.7y){2.3x +1.7y +5 -2.3x -1.7y)=5(2.3x - 1.7y) |
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| 1664. |
-100 %2B 500 %2B 600 |
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Answer» -100-(-500)+600-100+500+600+400+600+1000 1000 is the right answer 1000 is the correct answer of the given question 1000 is the correct answer 1000 is the right answer 1000 1000 is the correct answer |
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| 1665. |
. Find 5 rational numbers betwee |
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| 1666. |
5. If the mean of five observations x, x + 2, x + 4, x + 6, x+8 is 13, find thevalue of x and hence find the mean of the last three observations |
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| 1667. |
The mean of five observations is 15. If the mean of first three observations is 14 and the mean of last threeobservations is 17, then find the third observation. |
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| 1668. |
The mean of five observations is 15. If the mean of first three obrvations in 14 and the mean of last threeobservations , then find the third observation |
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Answer» 15/17-14=15/3=5 is the right answer |
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| 1669. |
The mean of 5 observations is 15. If the mean of first three observations is 14 and thatof the last three is 17, find the third observation.59 |
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| 1670. |
DUYS.The mean of five observations is 17. If the mean of the first three of these observations is 15and that of the last three is 18, find the third observation. |
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Answer» Total sum of 5 observation=17×5=85 total sum of 1st 3 observation=15×3=45 total sum of last 3 observation=18×3=54 3rd observation =(45+54)-85=99-85=14 |
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| 1671. |
1927-13814 3D WEEKMHURSEAveragetidenshon-the rear of rue Observations &DB 246 and 378 is II thenI the recons of the last three--معهعههPenseSom ofnumbertheofobservationthe observationLORtbt at's |
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Answer» average Mean = sum of observations / No. of observations 11 = (x + (x+2) + (x+4) + (x+6) + (x+ 8))/5 55 = 5x + 20 5x = 55 - 20 = 35 x = 35/5 = 7 Therefore mean of last 3 observations= (x + 4) + (x + 6) + (x + 8)/3= 3x + 18/3= x + 6= 7 + 6 = 13 |
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| 1672. |
The mean of 5 observation is15. If the mean of first threeobservations is 14 and that ofthe last three is 17, find thethird observation |
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Answer» Given that Mean of 5 observations is 15. Therefore the sum of observations = 15 * 5 = 75. Given that mean of the first 3 observations is 14. Therefore the sum of first three observations = 14 * 3 = 42. Given that mean of last 3 observations is 17. Therefore the sum of the last three observations = 17 * 3 = 51. Hence, The third observation = (42 + 51) - 75 = 93 - 75 = 18. Make a square root spiral and write the result. of the observation? |
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| 1673. |
Q2. What must be subtracted from (- 59 ) to obtain ( - 21). |
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Answer» _21+(_59)== -38 because of addition the number to get 2nd term (-59)-x=(-21)x=59-(-21)x=80. |
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| 1674. |
24a arton containing a dozen mirrors ishich of the following cannot be the ratio of the(a) 3 2 (b) 2 3 (c) 4 5 (d) 5 4broken mirror to unbroken mirror? |
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| 1675. |
uiswer uesAdd the following31. and2232134 |
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Answer» 3/2+(-23)/2=-20/2=-10 |
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| 1676. |
072Find the degree measures corresponding to the following radian measuresUes(ii) -4 |
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Answer» answer will be -229°5’25’' will be the correct answer |
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| 1677. |
ues of the letters in each of hefllonoant thisect this1.3 A2.B 2 |
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Answer» 3 A+ 2 5 -------- B 2 3 7+ 2 5 -------- 6 2 |
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| 1678. |
Fractions241o. Rohit takes 4minutes to make a complete round of a circular park. How much time w5he take to make 15 rounds? |
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| 1679. |
3. It takes 4 minutes to cut a rod into 2 pieces. Howong will it take to cut it into 5 pieces?4 minutes(c) 16 minutes(b) 10 minutes(d) 20 minutes |
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Answer» to cut rot into 2 pieces it has only to cut at one point which will automatically divide it into 2 partssimilarlyto cut it into 5 pieces it has to be cut at 4 points now time taken taken to cut at 1 point is 4 minutes so time to cut it at 4 points is 4 * 4 equal to 16 minutes. |
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| 1680. |
Fractionsit takes 4 minutes to make a complete round of a circular park. How much time willhe take to make 15 rounds?weight is of Amit's weight How much does |
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| 1681. |
A factory manufactures two types of screws A and B, each type requiring the umachines, an automatic and a hand-operated.It takes 4 minutes on the automatic and 6minutes on the hand-operated machines to manufacture a packet of screws'A' while ittakes 6 minutes on the automatic and 3 minutes on the hand-operated machine tomanufacture a packet of screws 'B'. Each machine is available for at most 4 hours on anyday. The manufacturer can sell a packet of screws 'A' at a profit of 70 paise and screws 'B'at a profit of Rs 1. Assuming that he can sell all the screws he manufactures, how manypackets of each type should the factory owner produce in a day in order to maximize his29.se of twoprofit ? Formulate the above LPP and solve it graphically and find the maximum profit. |
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Answer» ty |
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| 1682. |
To receive Grade、A, in a course, one must obtain an average of 90 marks or more in fiveexaminations (each of 100 marks). If Sunita's marks in first four examinations are 87,92, 94 and 95, find minimum marks that Sunita must obtain in fifth examination to getgrade 'A' in the course. |
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| 1683. |
FUN AT HOMEWhere would Minso put cone-like things and bottle-like things?Show it by drawing lines.Minso saw that Golu was helping her father. He wanted to help too.THE PRECISION OF MATHEMATICSGRADE ON |
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| 1684. |
TEKSGrade 8 MathematicsAAR Cetegery 2Mini-Assessment 8.5E1. Ms. Robertson owns a large daycare center. She is required to have 1 supervisor for every 4trainees. If she currently has 2 supervisors and 20 trainees, what is the minimum number ofadditional supervisors she must hire?A 16D 3 |
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Answer» if 4 trainees needs 1 supervisor then 20 trainees would need 20÷4=5supervisor |
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| 1685. |
STAAR Category 2Grade 8 MathematicsTEKS 8.5EMini-Assessment 8.5E1. Ms. Robertson owns a largedaycare center. She is required to have 1 supervisor for every 4trainees. If she currently has 2 supervisors and 20 trainees, what is the minimum number ofadditional supervisors she must hire?A 16C 2D 3 |
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| 1686. |
To receive Grade 'A' in a course, one must obtain an average of 90 marks ormore in five examinations (each of 100 marks). If Sunita's marks in first fourexaminations are 87, 92, 94 and 95, find minimum marks that Sunita must obtainin fifth examination to get grade 'A' in the course. |
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| 1687. |
d carton containing a dozen mirrors is dropch of the following cannot be the ratio otbroken mirror to unbroken mirror?(a) 3 2 (b) 2 3 (c) 4 5 (d) 5 4 |
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| 1688. |
triangle.21.From a solid cylinder whose height is 8 cm and radius 6 cm, a conical cavity of height 8 cm andbase radius 6 cm is hollowed out. Find the volume of the remaining solid correct to 1 place of decimalOr |
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| 1689. |
From a solid cylinder whose height is 8 cm and radius 6 CM a conical cavity of height 8 cm and base radius 6 cm is Hollowed out find the volume of the remaining solid also find then total surface area of remaining solid |
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| 1690. |
1. Abox has length 15 cm, breadth 7 cm and height8 cm. Find the total surface area. |
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Answer» Given,Length l = 15 cm, Breadth b = 7 cm, Height h = 8 cm Total surface area= 2(l*b + l*h + b*h)= 2(15*7 + 15*8 + 7*8)= 2(105 + 120 + 56)= 2(281)= 562 cm^2 |
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| 1691. |
\sin ^ { 2 } 50 + \sin ^ { 2 } 40 |
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| 1692. |
2. From a solid cylinder whose height is 8 cm and radius 6 cm, a conicalcavity of height 8 cm and of base radius 6 cm is hollowed out. Find thethevolume of the remaining solid. Also, find the total surface area ofremaining solid. [Take t 3.14.]HOTS] [CBSE 2009 |
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| 1693. |
10. A solid 'cone of height 8 cmelted and recast into identical coneeach of height 2 cm and iaeterthe number of cones formed.cm. F |
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Answer» you have done the wrong multiplication |
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| 1694. |
a cone of height 8 cm has a curved surface area 188.4 cm^2.find its volume |
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| 1695. |
diDuent WOrR Sheets23. The sides of a triangle are 25 cm, 17 cm and 12cm. The length of the altitude on the longest iis equal toa) 7.5cmb) 7.2cmc) 8.2cmd) 9.8cm |
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Answer» First find area of triangle =( 25+17+12)/2s=27cmroot(27×2×10×15)area = 90cm^2now area =1/2 ×b×hbase take as longest side =251/2×25×h=90h=90×2/25h=36/5cm |
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| 1696. |
The maximum length of a pencil that can be kept in a rectangular boxof length 12 cm, breadth 9 cm, and height 8 cm is(A) 13 cm (B) 17 cm (C) 18 cm (D) 19 cm4.155 |
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| 1697. |
sin(50^circ) %2B sin(40)^2 |
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| 1698. |
) Suyash bought 27 ke of sugur and Ashish hought 3 k. How much sugar dithey buy altogether? If sugar costs 32 rupees per kg. how much did they spendon the sugar they bought? |
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| 1699. |
-sqrt(7)/3 %2B sqrt(21)/10 |
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Answer» sqrt(1 21/100) - sqrt(1 7/9) = sqrt(121/100) - sqrt(16/9) = 11/10 - 4/3 = (11*3 - 4*10)/30 = (33 - 40)/30 = - 7/30 |
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| 1700. |
Virendra bought 18 bags of nobought 18 bags of rice. each bag weighing 5.250 kg. How much nice dióIf the rice costs 42 rupees per kg, how much did he pay for it? |
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Answer» Answer: Step-by-step explanation: Given Virendra bought 18 bags of rice, each bag weighing 5.250 kg. How much rice did he buy altogether? If the rice costs 42 rupees per kg, how much did he pay for it? So we know that one rice bag weighs 5.250 kg Therefore 18 bags of rice will weigh 5.250 x 18 It will be 94.5 kg Altogether he bought 94.5 kg of rice Now 1 kg of rice will cost Rs 42 So 94.5 kg of rice will cost 94.5 x 42 = Rs 3969 So he paid Rs 3969 for rice bags. 94.5 kg rice , he buy altogetherand 3969rs ,he pay for it |
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