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| 64401. |
A wooden pole is 7 m high and 20 cm in diameter. Find its weight if the wood weighs225 kg per m |
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| 64402. |
) From apack of 52 playing cards all cards whose numbers are multiples of 3 are removed. A cardis now drawn at random.What is the probability that the card drawn is(i) a face card (King, Jack or Queen)(Ăź) an even numbered red card?(31 |
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Answer» Total number of cards = 52Multiples of 3 in each set = 3Multiples of 3 in all the four sets = 12Remaining number of cards = 52 - 12 = 40(i) Number of face cards in each set = 3Probability that the card drawn is a face card (King, Jack And Queen) = 12/40 = 3/10(ii) Number of red cards = 20Number of even numbered red cards in 20 cards = 10Probability of an even numbered red card = 10 / 20 = 1/2. |
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| 64403. |
8 A wooden pole is 7 m high and 20 cm in diameter. Find its weight if the wood weighs225 kg per m3 |
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Answer» volume of wooden pole = πr²h = 7*π*(20)² = 22*0.2*0.2= 0.88 m³ now , weight of pole = volume × density = 0.88×225 = 198 kg |
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| 64404. |
e g. Dimethyl etherCh,NTEXT OUESTİONS1) How many isomenic compounds can be represented by formula C,J,0(İİ) Give the structure and IUPAC names of all metamers represented by formula C,H |
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Answer» 1. We know from the formula that these isomers contain no rings or double bonds. The isomers must be alcohols and ethers. Let's start by drawing the alcohols. Start with four carbons in a row and put anOHgroup in every possible position. This gives us 1.CH3CH2CH2CH2OH, butan 1-ol and 2.CH3CH2CH(OH)CH3, butan-2-ol Now use a 3-carbon chain with aCH3on the middle carbon. This gives (CH3)2CHCH2OH, 2-methylpropan-1-ol and (CH3)3COH, 2-methylpropan-2-ol. Now for the ethers. Let's start with five atoms in a row. This gives CH3CH2CH2OCH3, 1-methoxypropane and CH3CH2OCH2CH3, ethoxyethane Finally, the only choice for a branched-chain ether is (CH3)2CHOCH3, 2-methoxpropane. And there are your seven isomers ofC4H10O. |
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| 64405. |
7. How many months begin their names with the letter J'? |
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Answer» 1.january2. June3.july ans. is 3 months. tha thanks your most welcome. |
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| 64406. |
thaunction given by f(x)= sin、sshow that heasing in (0.2) (b) strictlydecreincreasing nor decreashng instrictly increazi)(22c) ner |
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| 64407. |
d the outside f thecabinct ofmeasure 1 m 2 m × 1.5 m. How muchsurface area did she cover if she painted all except the bottom of the cabinet |
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| 64408. |
5. One card is drawn from a pack of 52 cards. Find the probability thatÖ) it is either a face card or a red card.(u) it is neither a face card nor a red card. |
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| 64409. |
29.A cylinder is within the cube touching all the vertical faces. A cone isinside the cylinder. If their height are the same with the same base. Findthe ratio of their volumes. |
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Answer» Let the length of each edge of the cube beaunits.∴ Volume of cube =a^3cube unitsSince the cylinder is within the cube and it touches all the vertical faces of cube.∴ Radius of base of the cylinder and the cone= (a/2) unitsHeight of the cylinder and the cone =a unitsVolume of cylinder = πr^2h=π(a/2)^2x a = (22/7) x (a^2/4) x a= (11/14)a^3Volume of cone = (1/3)πr^2h= (1/3) xπ(a/2)^2x a = (22/21) x (a^2/4) x a= (11/42)a^3Consider, volume of cube : volume of cylinder : volume of cone = a^3: (11/14)a^3: (11/42)a^3= 1 : (11/14) : (11/42)= 42 : 33 : 11 |
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| 64410. |
A purse contains 250 in the denomination ofnotes is one more than that notos f0 and 50. If the number of 1050 notes find the number of notes of enchdenomination,t of |
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| 64411. |
l Eah be stored in the tank.A wooden cylindrical pole is 7 m high and its base radius is 10 em. Find its weight if thewood weighs 225 kg per cubic metre. |
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5. One card is drawn from a pack of 52 cards. Find the probability that0) it is either a face card or a red card.i) it is neither a face card nor a red car |
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| 64413. |
P(O)Number of possible outcomes6 2One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting(i) a king of red colour (li) a face card(iv) the jack of hearts (v) aspade(iii) a red face card(vi) the queen of diamonds |
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| 64414. |
a card is drawn from a well shuffled deck of 52cards .Find the probability that the card drawn is :- 1. an ace 2. a red Card 3. neither a king not a queen 4. a face card 5. a card of spade or an ace 6. non-face card of red colour. |
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Answer» Probability = possible outcomes / Total outcomes1) probability = 4/52 = 1/13 2) probability = 26/52 = 1/2 3) probability = 44/12 = 11/3 thq soo much |
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| 64415. |
How many J-digit aumbers can be formed from the digits 1. 2, 3,4 and sassuming that00 repetition of the digits is allowed"(i) repetition of the digits is sot allowed? |
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| 64416. |
How many 3-digit numbers can be formed from the digits I, 2, 3, 4 and sassuming that(i) repetition of the digits is allowed?(ii) repetition of the digits is not allowed? |
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| 64417. |
24. The circumference of the base of a cylinder is 88cm & its height is 15cm. Find the volume of thecylinder. |
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| 64418. |
mountedbyahollowcylindvessel is in the form of a hollow hemisphereliameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Fner surface area of the vessel |
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| 64419. |
vessel is in the form of a hollow hemisphere mounted by a hollow cylinder Thdiameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Findsinner surface area of the vessel |
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| 64420. |
2. When did the Universal Declaration of Human Rightsadopted by UN General Assembly? |
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Answer» The Universal Declaration of Human Rights, which was adopted by the UN General Assembly on10 December 1948, was the result of the experience of the Second World War. |
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| 64421. |
A cylinder lies within a cube touching all its vertical faces and a conelies inside the cylinder. If their heights are same with the same base,find the ratio of their volumes. |
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Answer» Assume that the length of all edges of the cube=x unitsFormula for volume of cube=x³ cube unitDue an occurrence that the cylinder is within the cube &it touches all the vertices faces of the cube.Therefore radius of the base of the cylinder & cone & height of cylinder of a cone=xVolume of the cylinder=π×{x/2}²×x=22/7×x³/411/14x³ cube unitVolume of cone should be=1/3π{x/2)²×x=11/42 cubic unitRequired ratio=volume of cube:volume of cylinder:volume of cone=x³:11/14x³:11/42x³=42:33:11 |
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| 64422. |
7. The length breadth and height of a room are 5m, 4m 83m respectively. Find the area of the fourroom |
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| 64423. |
8. Determine the number of 5-card combinations out of a deck of 52 cards if eachselection of 5 cards has exactly one king. |
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Answer» 1 king can be selected in4C14C1ways 4 other cards can be selected in48C448C4ways ∴∴No of card combination out of a 52 cards each combination having exactly one king. ⇒4C1×48C4⇒4C1×48C4 Hence (A) is the correct answer. A is correct answer of this question |
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| 64424. |
II. The length, breadth and height of a room are 5m, 4m and 3m respectively. Findthe four walls of the room. |
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Answer» Given that,length = 5 mbreadth = 4 mheight = 3 marea of wall = 2h (L+ b) = 2 * 3 (4 +5 ) = 6*9 = 54 sq mLike my answer if you find it useful! |
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| 64425. |
11. The length, breadth and height of a room are 5m, 4m and 3m respectively. Find the area othe four walls of the room. |
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Answer» Area of four walls will be2h(length+ width)2*3(4+5)9*6= 54 m^2 |
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| 64426. |
7)One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting(i)a king of red colour(ii)a face card(ii)a red face card(iv)the jack of hearts(v)a spade (vi)the queen of diamonds |
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| 64427. |
1x6-6(i)Interest on Rs. a at the simple interest 10% perannum for b months is: |
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Answer» SI = P*R*T/100P = a, R = 10%, T = b/12 SI = a*10/100*b/12 = ab/120 |
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| 64428. |
I.1x6In the figure, find the length of the tangent CDif AP=3cm and PC-8cm.. |
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Answer» We know that the lengths of the tangents from an external point to a circle are equal. AP = PB = 3 cm and CD = BC Since BC = PC – PB = 8 – 3 = 5 cm, CD = 5 cm Hence, the length of CD is 5 cm. |
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3. Answer any one1x6 6a. How many numbers each less than 100 can Iformed with the digit can be lormed out of thedigit 1,2,3,4,5,6 if repetition ot digit is allowed |
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| 64430. |
5 cmo un. Find the hihin olinhical vessel |
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| 64431. |
is,LSA of a cylinder whose circumference is 44 cm and height 10cmA) 120cm2B) 440cm2C) 110cm2 D) 220cm1x6=( |
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Answer» circumference = 44 cm or 2 * pie * r = 44 Lateral surface area of cylinder = 2 * pie * r * h = 44 * 10 [since 2 * pie * r = 44] = 440 cm² |
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ultvad22+3 and -5A21-24ram the un2. |
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Answer» Add = (2x +3y) + (5x - 2y) = 7x + ySubtract = (7x+y) - (2x-2y) = 5x + 3y ans |
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| 64433. |
Write the next three natural numbers after 10999 |
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Write the next three natural numbers after 10999. |
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Write the next three natural numbers after 100199. |
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Answer» The next the natural numbers after 100199 are 100200,100201,100202. |
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| 64436. |
Mathematics Common NotesIf the area of the floor of a room is 67.5 sq, ml and its volume is 270 m', then the height of the roomisะด) 2 mtsb) 3 mtsc) 4 mtsd) 6 mts |
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| 64437. |
13. Each rectangular tile is 40 cm long and 30 cm wide. How many tiles will be requirecover the floor of a room with length = 4.8 m and breadth = 2.4 m. |
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| 64438. |
s in diffe(itopsi(vshuffcardsExample 5. Write the alloutcomes in acelsimultaueous toss of two dices. How manypossible outcomes are there.reSolution. All possible outcomes are: |
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Answer» A die has 6 faces marked as 1, 2, 3, 4, 5, 6. When we throw a die, then total number of outcomes = 6 {1, 2, 3, 4, 5, 6} But when we throw two dice simultaneously , than total number of outcomes = 6 × 6 = 36 Total possible outcomes on throwing two dice are:{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1),(5,2),(5,3),(5,4),(5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)} Number of all possible outcomes = 36 |
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1.A room 5m long and 4m wide is surrounded by a verandah. Ifthe verandah occupies an area of 22 sq. mts. Find the width of |
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| 64440. |
12. Two ordinary dices are thrown. What is the probability that() The product of the numbers on their uppermost faces lies between 7 and(i) The sum of the numbers on uppermost faces lies between 7 and 1313? |
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| 64441. |
A) SmtsIn the figure, the value of h isA) 340 mtsB) 325 mtsC) 328.5 mtsD) 440 mtsB) 4.7 mtsC)16.1.5 m0.4m 87.6m |
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Answer» 1.5/0.4=h/87.6so h=(87.6×1.5)/0.4=328.5mts |
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20. Distance above the ground is written as positive integer and distance belowis written as negative integer, then answer the following.1. Elevator descends into mine shaft at the rate of 8 mts per minute.Find its position after 40 minutes.2. Lift reaches 15 mts above ground in 3 minutes. Find its speed in mts/min. |
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Answer» i) distance covered by elevator in the mine is 8*40= 320metres , but its down the ground so -320m ii) speed of the lift is = 15/3 = 5mts/min |
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The diameter of a Semicircular Field is 14 meter, then its Perimeter is,A) 46 mts.B) 36 mts.C) 40 mts.D) 42mts1x6 6 |
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Answer» radius = 14/2 = 7 cm Perimeter = semicircle part + diameter = pi × r + 14 = 22/7 × 7 + 14 = 22 + 14 = 36 meter B) radius = 14/2 = 2cmperimeter of the semicircle + diameter= 2πr/2 + 14= πr + 14= 22/7*7 + 14= 22+14= 36 cm |
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ĺmts |
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UN DUUN5.The perimeter and area of a rectangle are 28 mts, 40 m-respectively, |
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Answer» perimeter of rectangle= 28mtrlet breadth =xperimeter= 2(L+b)=28=2x+2L28/2=x+2L14/2=x+L7=x+ perimeter of a rectangle = 2 (length + breadth)area of a rectangle = length * breadth according to the perimeter 2 (length +breadth) =28 length +breadth =14 area of a rectangle = length * breadth possibilities are 10 plus 4as 10 multiplied by 4 equals to four length equals =10 |
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| 64446. |
L. Find the mts X soch that AXB whereand B= |
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| 64447. |
∛((1728)/2744) |
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Answer» just do prime factorisation. |
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| 64448. |
1. Write the next three natural numbers after 10999 |
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| 64449. |
Write the next three natural numbers after 10999.10930 |
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Answer» Three natural numbers after 10999 are: 110001100111002 |
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| 64450. |
TO 1. Write the next three natural numbers after 10999. |
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Answer» 110000 Three natural numbers after 10999 are 11000,11001,11002. the next three natural numbers are 11000,11001,11002 |
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