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72101.

D. 24200 kg of sugar was purchased at the rate ofINR 15 per kg and sold at a profit of 5%.Compute the selling price per kg.A. INR 18.25B. INR 13.85C. INR 15.75D. INR 31.50

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Amount of sugar purchased= 200kgC.P. of 1kg= Rs. 15So, CP of 200kg= 200*15= Rs. 3000Now profit%= 5%Profit%= Profit×100/CP5= P*100/3000 [Substituting values]P*100= 5*3000P= 5*3000/100P= Rs. 150Now, Profit= SP-CPTherefore, SP= Profit+CPSP= 150+ 3000SP= Rs. 3150 for 200 kgSP for 1 kg=3150/200=15.75 Ans

15*5=7575÷100=0.75total prize 15 +.075=15.75ans- C

72102.

7 Without using trigonometric tables,find the value of sec 20 -cot 703 tan 80° tan 50° tan 45° tan 10° tan 40°

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72103.

Te perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, findisAio had the area.

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72104.

Without using trigonometric tables, find the value ofsin210°+sin280sec 20° -cot2 70°12.3 tan 80° tan 50° tan 45° tan 10° tan 40°

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sin80° = cos10tan 10°= cot80tan 45° = 1tan40° = cot 50° and sec^theta- tan^2 theta= 1

72105.

Q16 If x= alb-c) , y = 6( c-a), z = cla-b), then(x3 + ( 2 ) + ( )3 = 344provethat

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72106.

10. If A =4x3 + 3x-19' B =x3 +8x2-7x + 13 andC =-5x3-6x + 20, find(ii) A - B+ C.(ii) A-B-C.

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A+B+C=4x³+3x-19+x³+8x²-7x+13-5x³-6x+20=8x²-10x+14A+B-C=4x³+3x-19+x³+8x²-7x+13+5x³+6x-20=10x³+8x²+2x-26A-B-C=4x³+3x-19-x³-8x²+7x-13+5x³+6x-20=x³-8x²+16x-42

72107.

Solve the followingA. 4ab2+3a2bC. 5x3+x35.B.8xy - 2xy

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A. ab(4b+3a)B. 8xy -2xy = 6xyC. (5+1)x³ = 6x³D. -xy(2x+5)

72108.

5. A man bought potato at4 per kg. At what price per kg should he sell to gain 10%?

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Cost price of 1 kg potato, CP= Rs 4

gain= 10% of CP = Rs 0.4

Selling price per kg = CP + gain= Rs 4.4

thanks

72109.

,Study the patterns in each of the following and find the rule. Using the rule, Unumbers.al 3, 6, 9, 122.2, 6,2.4,11,(bl10,8,13,14,--.._,16,_-,--,--타id)7,16,98 91, 85, 79,

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72110.

16(1) 73aioyes totocions and ratios(c) 250%05%(c) 0.15%(d) 12.25%Example 2:y Solution:THS LAB ACTIVITY

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72111.

Given that tan (A + B) = 1 and that tan (A-B) = 1/7, find without using tables the values oftan A and tan B

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Tan (a + b) = 1 => tan (a - b) = 1/7

tan 2 a = tan (a+b + a -b) = [ tan(a+b) + tan (a-b) ] / [1 - tan (a+b) tan (a-b) ] = (1 + 1/7) / (1 - 1/7) = 4/3tan 2a = 2 tan a / (1 - tan² a) = 4/3

=> 2 tan² a + 3 tan a - 2 = 0=> tan a = [-3 + - √[ (9 + 16) ] / 4 = -2 or 1/2

Now we have tan (a+b) = [tan a + tan b] / [ 1 - tan a tan b ]If tan a = -2, then => 1 = [ -2 + tan b ] / [ 1 + 2 tan b ] => tan b = -3

if tan a = 1/2 then, => 1 = [ 1 /2 + tan b ] / [ 1 - 1/2 tan b ] => tan b = 1/3

Tan (a + b) = 1 => tan (a - b) = 1/7

tan 2 a = tan (a+b + a -b) = [ tan(a+b) + tan (a-b) ] / [1 - tan (a+b) tan (a-b) ] = (1 + 1/7) / (1 - 1/7) = 4/3tan 2a = 2 tan a / (1 - tan² a) = 4/3

=> 2 tan² a + 3 tan a - 2 = 0=> tan a = [-3 + - √[ (9 + 16) ] / 4 = -2 or 1/2

Now we have tan (a+b) = [tan a + tan b] / [ 1 - tan a tan b ]If tan a = -2, then => 1 = [ -2 + tan b ] / [ 1 + 2 tan b ] => tan b = -3

if tan a = 1/2 then, => 1 = [ 1 /2 + tan b ] / [ 1 - 1/2 tan b ] => tan b = 1/3

72112.

Study the patterns in each of the following and find the rule. Usnumbers(a) 3, 6, 9, 12,(b) 2, 6, 10, 14,(c) 2, 4, 8, 16,.d) 7, 11, 13, 16,)98, 91, 85, 79,-- . ._, ,

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3,6,9,12,15,18,21,24,27

2,6,10,14,18,22,26,30,34

2,4,8,16,32,64,128,256,512,1024

7,11,13,16,20,22,25,29,31,34,37

72113.

OrUse properties of determinants, show thata b-c c+ba+c b c-a (a+bt c) (a+b'+)a-b b+a c+ b+ c) (a

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72114.

a)b+c-a a+c-b a+b-cSimply: Xa+b+cxa+b+c Xa+b+cd) x3c)X?b) xa) 1

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(X )option b is the correct answer of the given question.

option (B) is the correct answer

72115.

1. Who elects the members of a gram panchayat2. What is the head of a gram panchayat called?

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1-The gram panchayat is divided into wards and each ward is represented by a Ward Member or Commissioner, also referred to as a Panch or Panchayat Member, who is directly elected by the villagers. 2-The panchayat is chaired by the president of the village, known as a Sarpanch.

72116.

ie a nUmber minus o multiplied by seven is equal to 28. Find the number.In a bag, thereare some one rupee, two rupee and five rupee coins. The number of one rupee coins isthin the bag is 600 in all. Find the number of each kind of coins.ree times that of two rupee čoins and five rupee coins is two times that of two rupee coins. The amount

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Suppose two rupee coin is xthen 1 ruppe coins= 3x5 rupee coin = 2xaccording to question1.(3x)+5(2x)+2(x)= 6003x+10x+2x= 60015x= 600x= 40so number of 1 rupee coin= (3*40)= 1205 rupee coins( 2*40=80)2rupee coins=(40)

72117.

4 kg of tea and 16 kg of sugar cost Rs. 24. If the price of tea rises by 50 % and that ofsugar decreases by 25%, they would together cost the same as before. Find the formerprice per kg of each.

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72118.

5. If 8kg sugar cost Rs. 260. Find the costof10kgsugar.

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8 kg of sugar = 260 => 1 kg of sugar = 260/8 = 32.5

Now 10kg of sugar = 10×32.5 =325

10kg sugar cost 325 rs

72119.

5. If 8kg sugar cost Rs. 260. Find the cost of 10kg sugar.

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8kg of sugar = 260 so 1 kg of sugar = 260/8 = 32.5

now 10 kg of sugar. = 10× price of 1 kg of sugar

=> price of 10 kg = 10×32.5 =325rupess.

72120.

) Anuj has an equal number of two-rupee and five-rupee coins. He has also some120, how manyone-rupee coins. If the total number of coins is 40 and their value isfive-rupee and two-rupee coins does he have?

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Let the number of coins be x.

2 rupee coin be 2x.

5 rupee coin be 5x.

1 rupee coin with the total number of coins is 40 will be 40 - 2x.

Given value is 120.

On solving (1), (2),(3),(4), we get

2x + 5x + (40-2x) = 120

2x + 5x + 40 - 2x = 120

5x + 40 = 120

x = 80/5

= 16.

The number of 2 coins and the 5 rupees coins will be x = 16.

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72121.

15. Which of the following is true?a) 0.3 > 0.4 b) 0.070.02 c)3>0.8 d) 0.5-0.0516 98 8m inm can he written as

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0.4 is greater than 0.30.07 is greater than 0.023 is greater than 0.80.5 is greater than 0.05

So option c is correct

72122.

12. A purse has only two-rupee and five-rupee coins. The sum of the coins is 36the total value of the coins is 84. Find the number of five-rupee coins

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72123.

(a c),B+ C2in a triangle ABC, write cosin terms of angle A.

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A+B+C = 180 (ASP of trianlge)

~ B + C = 180 - A

~ cos (B + C) / 2 = cos (180 - A) / 2

~ cos (180/2 - A/2)~ cos (90 - A/2)

~ sin (A/2)

Therefore, cos (B + C/2) = sin (A/2)

72124.

35. An arithmetic sequence has its fifth term equal to 22 and its 15 term equal to 62. Find itshundredth term and sum of its first 50 terms.

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72125.

If A, B and C are the interior angles of triangle ABC, find tan B+C/2

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b+c = 90-atherefore, its tan (45-(a/2))that is (1-tan(a/2))/(1+ tan(a/2))

72126.

A EEE IS ( cusvedWM Astia )= 198 5 mSl C हक ) = 12l:F—fan b U cmn €U ( CORT) = 2

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72127.

Exercise 9C1. Fill in the blanks.(a) 1 kilogram(c) 1 decagram =(e) 1 decagram(g) 1 gram() 1 hectogram-gramsgramsdecigramskilogram (h) 1 milligramcentigramkilogram (j) l decigram=(b) 1 gram =(d) 1 hectogram-(f) Idec¡gram =milligramsdecigramscentigramsgram =-decagram. The weight of a baby elenhant is g6 ka lts weight in grams is

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1kg is 1000gm1gm is 1000mg

1kg=1000gm1gm=1000mg

72128.

. Which of the following has the maximum ma(a) 52 gram-atoms of sulphur

Answer»

Question you have submitted is incomplete. Please post a complete question.

1Gram atom means 1 mole

No. Of moles = Weight in gram/Molar mass

No. Of moles =52/32

=1.625moles

1.625 gram atom (Moles)of sulphur is there in 8 gm of sulphur

72129.

Which is more?(i) 1 of a kilogram of a kilogram.(ii) of a metre or 으 of a metre.(iii) 2 of an article or으 of the same article.1241610

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In order to compare fractions denominator should be equal

(i) 1/2 of kilogram = 6/12 of kilogramTherefore 6/12 or 1/2 of kilogram is more than 4/12 of kilogram

(ii) 3/4 of metre = 12/16 of metreTherefore 12/16 or 3/4 of meter is more than 6/16 of metre.

(iii) 2/5 of article = 4/10 of article Therefore 6/10 of article is more than 4/10 or 2/5 of article

72130.

llgtkllometrearetoreIlrStandand that for a distaice ol 20One kilogram of tea and 4 kg of sugar together cost R 220. If the price of sugar incretea increases by 10% the cost would be? 266. Find the original cost per kilogram ifor each successive kilometre.10by 50% and the price ofrice ofof each6. A man bought 4 horses and 9 saws for 7 130the cows at a profit of 20%

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1

1

2

72131.

From the above table answer the following:a) Most favourite sweetb) Least favourite sweet- is liked more thanc)(Name of the sweet)(Name of the sweis liked more thanis liked more thanis liked more thanAlso find out fromanimals around you!

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72132.

Example 2: Hameed has built a cubical water tank with lid for his house, with eachouter edge 1.5 m long. He gets the outer surface of the tank excluding the base,covered with square tiles of side 25 cm (see Fig, 13.5). Find how much he wouldspend for the tiles, if the cost of the tiles is 360 per dozer.

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72133.

rupA dishonest shopkeeper uses a 800 gram weight instead of 1 kg weightFind the profit percent if he sells per kilogram at the same price as he buysa kilogram

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72134.

The product of three geometric means between4 and 1/4 will be(A)4 (B)2 (C) - 1 (D)1

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72135.

Volume of a cuboid is - cm. What is its volumeinm?

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1 cubic centimetre=

1 × 10-6cubic metre= volume= 1/8*10^-6m^3

72136.

It 'a is arithmetic mean and b and c be two geometric means between two postive numbersthen prove that, b"+c"-2 abc.

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72137.

8.If A and G are the arithmetic and geometric means respectively of two numbers thenthat the numbers are A+VA2 -G2 and A VA2 G2proveNCERT)

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AM of number a and b = (a + b)/2 GM of number a and b = √ab

Here, AM : GM = m : n (a + b)/2 : √ab = m : n (a + b)/2√ab = m/n Applying componendo and dividendo rule,(a + b + 2√ab)/(a + b - 2√ab) = (m + n)/(m - n)(√a² + √b² + 2√ab)/(√a² + √b² -2√ab) = (m + n)/(m - n) (√a + √b)²/(√a - √b)² = (m + n)/(m - n) take square root both sides,( √a + √b )/(√a - √b) = √(m + n)/√(m - n) again applying componendo and dividendo,( √a + √b + √a - √b)/(√a + √b - √a + √b) = {√(m + n) + √(m - n)}/{√(m + n) - √(m - n) }2√a/2√b = {√(m + n) + √(m - n)}/{√(m + n) - √(m - n) }√a/√b = {√(m + n) + √(m - n)}/{√(m + n) - √(m - n) }taking square both sides, a/b =[{√(m + n) + √(m - n)}/{√(m + n) - √(m - n) }]²a/b = {m + n + m - n - 2√(m² - n²)}/{m + n + m - n -2√(m² - n²)}a/b = {2m + 2√(m² - n²)}/{2m - 2√(m² - n²)}a/b = {m + √(m² - n²)}/{m - √(m² - n²)}

hence, a : b = m + √(m² - n²) : m - √(m² - n²)

72138.

16.Solve the following riddle:I am a numberTell my identityTake me two times overAnd add a thirty sixTo reach a centurvYou still need four

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72139.

Prove that y5 is an irrational number.

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72140.

| B ~8-Y5 Ju, dla i b sl8+/5 i

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GIVENif a+8√5b=8+√5/8-√5+8-√5/8+√5RHS= 8 + (√5 / 8) - √5 + 8 - (√5 / 8) + √5MAKE IT EQUAL TO a + 8√5b8 + (√5 / 8) - √5 + 8 - (√5 / 8) + √5 = a + 8√5bLCM is 8(64 + √5 - 8√5 + 64 - √5 + 8√5) / 8 = a + 8√5b128 / 8 = a + 8√5b16 = a + 8√5bCan be written as16 + (8√5) x0 = a + 8√5bTherefore, a = 16 & b = 0

72141.

xample 2: Hameed has built a cubical water tank with lid for his house, with eachouter edge 1.5 m long. He gets the outer surface of the tank excluding the basecovered with square tiles of side 25 cm (see Fig. 13.5). Find how much he wouldspend for the tiles, if the cost of the tiles is 360 per dozen.

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72142.

With the help of the above formulae, it is easy to evaluate the followingintegrals.EXAMPLE 1 Evaluate:(x9dx(iii)」dx(i)

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i) x^10/10

ii) x^1/3+1/(1/3+1)

= 3x^4/3 / 4

iii) x

72143.

18. Among the student of VIII class, the sweet is distributed in the gram as the number ofstudents in the class of 15th August. If the total 3.6 kilogram sweet is distributed, thenfind the total number of students in the class and how many gram of sweet eachstudent get.

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yes, this a correct question

yes , this is a correct answer

mane money, time, Dr

yes, this is a correct answer

72144.

135) How many souhons of couco ionsBut) = 3-7 are there e

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there are infinitely many such a solution of equation

72145.

Final the length and hn cadlth of theYectangle given beloe if its feimethe/m15 구am2-1

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perimeter = 2*(5x+4) +2*(x-4) = 72=> 10x+8+2x-8 = 72=> 12x = 72=> x = 72/12 = 6

so, length = (5*6+4) = (30+4) = 34m breadth = (6-2) = 2m

72146.

Between 2 and 5, thirty six geometric means are |inserted. If their product can be expressed as 10nthen the value of n equals

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72147.

4. If r and n are positive integers; r> 1, n> 2, and thecoefficient of (+2)th term and 3rlh term in the expansion 13, Ifof (1 +x) are equal, then n equalsbi

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72148.

n me, the result is-6.A number divided by 6 minus -3 equals 12.

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x/6-3= 12x-18= 36x= 36+18= 54

72149.

\begin{array} { l } { \text { If } N = \frac { \sqrt { \sqrt { 5 } + 2 } + \sqrt { \sqrt { 5 } - 2 } } { \sqrt { 5 } + 1 } - \sqrt { 3 - 2 \sqrt { 2 } } } \\ { \text { (A) } N \text { equals } } \end{array}

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72150.

If the sum of first 'n' terms of an AP is n(n+10) then find first term and commondifference.

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