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80201.

024 The sum of four consecutive number in an AP is 32 and the ratio of the product of the last termof theproduct of two middle terms is 7 : 5. Find the numbers. 2、

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Let the four consecutive numbers in AP be (a - 3d), (a - d), (a + d) and (a + 3d)

So, according to the question.a-3d + a - d + a + d + a + 3d = 324a = 32a = 32/4a = 8 ......(1)

Now, (a - 3d)(a + 3d)/(a - d)(a + d) = 7/1515(a² - 9d²) = 7(a² - d²)15a² - 135d² = 7a² - 7d²15a² - 7a² = 135d² - 7d²8a² = 128d²

Putting the value of a = 8 in above we get.8(8)² = 128d²128d² = 512d² = 512/128d² = 4d = 2

So, the four consecutive numbers are 8 - (3*2)8 - 6 = 28 - 2 = 68 + 2 = 108 + (3*2)8 + 6 = 14

Four consecutive numbers are 2, 6, 10 and 14

80202.

13. The marked price of a TV is18500, A dealer allows two successive discounts of 20%and 5%. For how much is the TV available?

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80203.

The sum of four consecutive numbers in an AP ia 32 and the ratio of the product of the first andlast term to the product of two middle terms is 7: 15 Find the numbers

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Solution:-Let the four consecutive numbers in AP be (a - 3d), (a - d), (a + d) and (a + 3d)So, according to the question.a-3d + a - d + a + d + a + 3d = 324a = 32a = 32/4a = 8 ......(1)Now, (a - 3d)(a + 3d)/(a - d)(a + d) = 7/1515(a² - 9d²) = 7(a² - d²)15a² - 135d² = 7a² - 7d²15a² - 7a² = 135d² - 7d²8a² = 128d²Putting the value of a = 8 in above we get.8(8)² = 128d²128d² = 512d² = 512/128d² = 4d = 2So, the four consecutive numbers are 8 - (3*2)8 - 6 = 28 - 2 = 68 + 2 = 108 + (3*2)8 + 6 = 14Four consecutive numbers are 2, 6, 10 and 14

80204.

(For calculations, assume 2 = 1.41; V3 = 1.73)und wietall tower is 30hort Answer Type QuestionsThe angle of depression of a ship from the top of a 30 m tall tower idistance of the ship from the tower.IDefter at a distance of 100ml

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80205.

: \frac { 3 } { 2 } x y ^ { 3 } ( x ^ { 2 } y - 3 y ^ { 2 } x + 5 x y ) + \frac { 1 } { 5 } x y ^ { 2 } ( 3 x ^ { 2 } - 2 y ^ { 2 } + 3 x y ^ { 2 } )

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3/2*x^3y^4-9/2x^2y^5+15/2x^2y^4+3/5x^3y^2-2/5xy^4+3/5x^2y^4=3/2*x^3y^4-9/2x^2y^5+81/10x^2y^4+3/5x^3y^2-2/5xy^4

80206.

One-fourth of a herd of camels was seen in the forest. Twice thesquare root of the herd had gone to mountains and the remaining 15camels were seen on the bank of a river. The total number of camels is:

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80207.

(ख) + और » में एक ऐसा सम्बन्ध ज्ञात कीजिए कि बिन्दु ) बिन्दुओं (3. | |(-3, 4) से समदूरस्थ हो।e S T e e g R e e

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80208.

SECTION C)One fourth of a herd of camels was seen ine forest. Twice of square root of the herd hadgone to mountains and remaing 15 camels were seen on the bank of a river. Find the totalnumber of camels.,

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let the number of camel is x

Number of camels was seen in the forest = x/4

Number of camels had gone to the mountains = 2√x

number of camels were seems on the bank of river = 15

so, total number of camels = x/4 + 2√x + 15 = x

or, 2√x + 15 = 3x/4

or, 8√x + 60 = 3x

or, 64x = 9x² + 3600 - 360x

or, 9x² + 360x + 64x + 3600 = 0

or, 9x² + 424x + 3600 = 0

After solving with help of formula to find root of quadratic equation

We get, x = 36 and 100/9

Hence, number of camels = 36

80209.

10.The ratio of a two-digit number to the sum of itsdigits is 7:1 and the digit at tens place is 4 morethan the digit at ones place. What is the successorof the number?

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ten's digit=xunit digit=ynumber= 10x+yaccording to the question10x+y/x+y= 7/110x+y= 7x+7y3x= 6yx= 2y

x= 4+yy= 4x= 8number 10x+y= 80+4= 84

80210.

The digit in the units place of a 2 digit number is 4times the digit in the tens place. The numberobtained by reversing the digits exceeds the givennumber by 54. Find the given number.

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Let the digit at tens place be x&that of ones be yy=4x......................(given)4x-y=0...................(1)by the first given condition10y+x=10x+y+549y=9x+549x-9y=-54x-y=-6.......(dividing through 9)(2)subtracting eqn (2) from (1)3x=6x=2substitute x=2 in eq n(2)y=8Number:10x+y=10(2)+(8)=20+8=28

80211.

11, Find out a single discount equivalent to two successive discounts of 16% and 8%.

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80212.

14. Find the single discount which is equivalent to two successive discounts of 20% and 5%.

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80213.

Answer the following4x4-16e sum of four consecutive37. The sumerms which are in an arithmetic progression is 32 and the ratio ofwl'st and last term to the product of two middle terms is 7:15. Find the numberORIn an arithmetic proo

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80214.

REVISION EXERCISEhort Answer Questions Type -I:Write base' and 'exponent in each of the following:JOTSimplify the following:

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(i) 1/5 is the base and -7 is the exponent (i) xy/z is the base and 7 is the exponent

(i) 1/5 is the base and -7 is the exponent. (ii) xy/z is the base and 7 is the exponent.

(i) 1/5 is the base and -7 is the exponent(i) xy/z is the base and 7 is the exponent

1)-7 is exponent,1\5 is the bace2)7 is the exponent,xy\z is the bace.

(1) 7.8125 × 10⁴(2) ( x+y)7/z(7)(3) 0.714286 is correct answer

(i) base=1/5exponent=7

(i) base=xy/zexponent=7

80215.

Simplify and give reasons ((3-22 3

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80216.

ofthefield26 a,ha he almensions olLhe Herd1980. If the widthcost of fencing a rectangular field at R 18 per metre is23 m, find its length4. The cost of fe

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80217.

Factorise: 2y3+y2- 2y - 1

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80218.

2ycube + ysquare - 2y - 1

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80219.

GreatestDigit 4 is alwaysat tens place4Smallest

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Greatest number= 9949

Smallest number= 1040

Can you give answer of c and d part

80220.

(Note, the number cannot begin with the digit 0. Why?)(b) Digit 4 is alwaysGreatestat tens placeSmallest44GreatestDigit 9 is always athundreds placeSmallest(d)GreatestDigit 1 is always atthousands placeSmallest1.

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b)greatest-9949 smallest- 1040c) greatest- 9999 smallest- 1900d) greatest- 1999 smallest-1000

80221.

Give one example in which motion is visible.

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Movement of legs and hands because we can see it with our eye easily, similarly circular motion of fan is also visible.

80222.

PRI G P PN Wy NS Y N TP N की यह यो A5 S Y IRo8. _ यदि बहुपद द2+ 3: + 5 के शून्यक 0, 9 हों तब ठ दिQ., Set=V9 _5_‘ s WSn L gy 114 T

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please like my answer if you find it useful

80223.

what is the successive discount ?

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The formula for total discount in case of successive-discounts :If the first discount is x% and 2nd discount is y% then ,Total discount = ( x + y - xy / 100 ) %

80224.

must betow many terms of thetaken so that their sum is 180e Arithmetic Progression 45, 39, 33,? Explain the double answer.

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Given A.P is:-45,39,33....a₁=45;d=39-45=-6Given:-Sₙ=180n=?n/2[2a₁+(n-1)d]=180=>n/2[90+(n-1)×-6]=180=>n[90-6n+6]=360=>-6n²+96n-360=0=>6n²-96n+360=0=>n²-16n+60=0=>n²-10n-6n+60=0=>n(n-10)-6(n-10)=0=>(n-10)(n-6)=0=>n=10 or 6

80225.

7. Mya has ballet lessons every sixth day andswimming lessons every fourth day. Todayshe has both lessons. In how many days willMya have both lessons on the same dayagain?* Least common multiple *

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Maya has ballet lesson on every 6th day and swimming lesson every 4th day

In order to find day on which Maya have both lessons take LCM of 4 and 6 = 12

Therefore, Every 12th day Maya have both lessons on same day

on 12th day maya have bath lessons on the same day again

80226.

5Prove thatGive reasons to support your answerandAlso state the congruence condition.

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80227.

एक TV सेट 16756.00 में बेचने पर 18% लाभ होता है।एक TV सेट की लागत ज्ञात करो-(A) 1111nn

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Profit = 16,756 × 18 /100 = 3016.08 = ₹ 3016 cost price = selling price - Profit = 16,756 - 3016 = ₹ 13,740

13,740 is the correct answer of the given question

13740 is the right answer to your question

80228.

4. The cost of fencing a rectangular field at 18 per metre is 1980. If the width of the field is23 m, find its length.

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Thanks

80229.

Factorise:(i) x3-2x2-x+2(ii) +13x2+32x+20(ii) x3-3x2-9x-5(iv) 2y +y-2y 1

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80230.

251. If fx) x3+ x3 +1 then the value of f(O) + [(8) is(2) 6(4) 2(3) 4

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thnq

2 correct the answer

80231.

A number consist of two digit. The digit in tens place exceed the digit in the unit place by 4. The sum of the digit is 1/7 of the number. Tha number is :-

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80232.

1.2, 3,4,6, 7, if no digit is repeated?' Find the number of 4-digit numbers that can be formed using the digits 1,2,3,45 if no digit is repeated. How many of these will be even?From a committee of pns n tow many ways ean we choose a chai

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80233.

ND THE GREATEST COMMON FACT12 and 20 =2. 13 a

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80234.

Find the least common multiple of x2 - 6x + 8 and x2 - 7x + 10.

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(x-2)(x-4)(x-5)(x-2)

80235.

Two poles of heights 18 metre and 7 metre are erected on a ground. The length of thewire fastened at their tops in 22 metre. Find the angle made by the wire with thehorizontal.

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seg AB and CD represents two poles. AB = 18 m, CD = 7 m

seg AC represent the length of the wire. AC = 22 m

□EBDC is a rectangle

∴ EB = CD = 7 m [Opposite sides of rectangle]

AB = AE + EB [∵ A - E - B]

∴ 18 = AE + 7

∴ 18 – 7 = AE

∴ AE = 11 m

In right angled ∆ AEC,

sin C = opposite side of ∠C/Hypotenuse

∴ sin C = AE/AC

∴ sin C = 11/22

∴ sin C = ½ .........(i)

But,

sin 30º = ½ ......(ii)

From equation (i) and (ii), we can conclude that

sin C = sin 30º

∴ ∠C = 30º

∴The angle made by the wire with horizontal is 30º.

80236.

qqT 77 f : R → R one-one (injective)呃 可af f(x) = X3, x E R.Examine whether the function f : R → R is one-one (injective) if f (x) = x3, x E R.

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80237.

Tv2.How many 4-digit numbers are there with no digit repeated?

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80238.

Factorise:(i) x3-2x2-x+2(iii) x3 + 13x2 + 32x + 20

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1) x^3 - 2x^2 - x +2= x^2 (x-2) - 1(x-2)= (x^2 - 1)(x-2)= (x+1)(x-1)(x-2)

80239.

17. By how much does 1 exceed 2x-3y-4?

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80240.

.) is it possible to find the greatest common multiple? Explain.

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So your answer is No, Like take two 14 and 6 , it is asked to find Greatest number that come in both of numbers multiple, for just take 14× 6 = 84 , so 84 comes in both table of 14 and 6 also. but question is that... is it really greatest number. No .like take 14×6 × 100000000 this is also a multiple of 14 and 6 . so there are infinite possiblity. So finding Greatest common multiple is not possible.

80241.

8.) is it possible to find the greatest common multiple? Explain

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No, its not possible to find greatest common multiple. Multiples of a number range up to infinity. So, their common multiple range upto infinity.Every number has infinity as its multiple, as you can keep on multiplying it indefinitely.For eg, the common multiple between 15 and 7 is 105. But 105*2 is also a multiple of 15 and 7 so is 105*35 and so is 105*213245 or 15* any arbitrary number.

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80242.

C-. A shell is fired from a canon with a velocity V at an angle 0 with the horizontal direction. At the hiohepoint in its path, it explodes into two pieces of equal masses. One of the pieces come to restspeed of the other piece immediately after the explosion isThe(B) 2V cosa(C)-y cose(D) V cose

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80243.

A piecelong. How long is the other piece?of wiremetre long broke into two pieces. One pisoe6.ece waSmetre

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80244.

The pie chart drawn here represents the amount spent on different sports by a school in a year. Ifthe money spent on football is Rs 9,000What is the total amount spent on sports ?16.FootbalTennis45 Hockey30°100Basketball160Cricket

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Percentage of money spent on football = 45/360 * 100= 12.5 %

So, 12.5 % of total money = 9000=> (1/8) * Total = 9000=> Total = 9000*8= Rs. 72000

80245.

Find the number of all five digit numbers which have atleast one digit repeated.

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80246.

The marks obtained by 100 students in an examination are given belowMarks 30-35 35-40 4045 45-50 50 55 55-60 60 -65Number ofStudents:14 16282318Find the mean marks of the students.

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the student MARKS list mean is 23

ಸೂತ್ರ ಸಹಾಯದಿಂದ ಲೆಕ್ಕ ಬಿಡಿಸುವುದು

The mean of the following data is 23 of upward given data

80247.

p(x)-x3-3x2 + 5x-3,g(x) = x2-2

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80248.

By how much does 3x2-5x +6 exceed xx4x -1?

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80249.

is paper contains two parts-Part A & Part B.Attempt althe questions. All questions e arry equal marks.PART -A (WORKSHOP CALCU LATION & SCIENCe the correct answer:-How many centimeters are equal to 40 mches?a) 100.6 cmc) 1026 emd) 103.6 cmb) 101.6 cm17Subtract 5from 7122412c)5 2424

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1) one inch equal to 2.54 cmThen, 40 inches equal to = 40*2.54 = 101.6 cm

2) Subtract 5 5/12 from 7 17/24185/24 - 65/12= (185 - 130)/24= 55/24= 2 7/24

80250.

ExampleFind the lowest common multiple of 5 and 7.

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35 is the right answer.......

lcm of 5&7 is 35 is the best answer

35 is the right answer to your question