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81001.

25. The plastic cases that are used to storecompact disks and DVDs are about cmthick. A company wants to sell 10 of thesecases in plastic wrapping. What will be theheight of a pack of 10 cases?

Answer»

5 cm will be the height of a pack of 10 cases

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5cm will be the height of a pack of 10 cases

5 CM will be the height of a pack of 10 cases

5 cm will be the height of pack of 10 cases

81002.

Thus, fixed hostel charges -EXERCISE 5Problems based on numbers1. If one number is thrice the other and their sum is16, find the numbers.2. The sum of two numbers is 6 and their differenceis 4. Find the numbers.3. In a two digit number, the sum of digits is 13. Ifthe number is subtracted from the one obtainedby interchanging the digits, the result is 45. Whatis the number?4. A number consists of two digits whose sum is5. When the digits are reversed, the numberbecomes greater by 9. Find the number.5. The sum of a two digit number and the numberobtained by reversing the order of its digits is 121and the two digits differ by 3. Find the number.6. Seven times a given two digit number is equalto four times the number obtained by reversing

Answer»
81003.

-7 Raghav bought 18.1 m of clothpale 25 . Sameer buys264 vn of same clothHow much sould Sameer pay the

Answer»

the answer is 293/296

RS 50.97 is the answer

81004.

5.Find the first five terms of the sequence given b9-2, a,-3 + al and an-2an-| + 5for n > 2

Answer»
81005.

If a polyhedron has 9 edges and 5 faces then how many verti167]

Answer»

according to Eular

V−E+F=2 V = 2+edges -faces Vertices = 2+9-5 = 6

answer is 6.

81006.

A trader dealing in pressure cookers reduced the price by 20% as aresult of which his sale went up by 80%. what was the net effect onhis sales income ?(A) 44% decrease(C) 66% increase(B)44% increase(D) 66% decrease

Answer»
81007.

69.A solid cube has been painted yellow, blue and black on pairs of opposite faces. The cube is thencut into 36 smaller cubes such that 32 cubes are of the same size while 4 others are of bigger sizes.Also no faces of any of the bigger cubes is painted blue.How many cubes do not have any of their faces painted yellow?

Answer»

There are 36 cubes, 32 of which are of the same size and 4 others are of bigger size. Clearly, eachside of bigger cubes is twice as large as that of smaller cubes. Also, since no face of any of the larger cubesis painted blue, so, each one of the larger cubes has one face painted red, one face painted black and allother faces unpainted.

So, The number of cubes having at least one of the faces painted yellow is 20.

81008.

8. Three fair coins are tossed once. Construct thesample space of the outcomes of the randomexperiment.Find the probability of) at last one head(i) exactly one head.

Answer»

Sample space S = {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT} i) at least one head there are u such outcomes so probability 7/8 ii) exactly one head there are three such outcomes so probability 3/8

81009.

(2) A(3) IMagansheth sold 52 litres of milk for Rs. 2184 and earned a profit of Rs. 364. Find tcost priee of milk per litre.(1) Rs. 1820 per litre(3) Rs. 42 per litre(4) U30.(2) Rs. 45 per litre(4) Rs. 35 per litre

Answer»
81010.

Hin1. The yigh i kgl of 30 studenas of' a class are 50, 49, 45, 49. 49, 50, 50, 54,55. 44. 44,9249.49. 4231. 50, so. so, 57, 45, 45, 45, 50, 54, 43 and 49.Prpare s freqaency table for the above data and answer the following quonst is the least weight?Find the nomber of students having the least weight in the above data.Eind the number of students having the maximum weight in the above daiWbici wcight do the maxtirmum number of students have?

Answer»

crop one question only in clear

81011.

Express each of the following ratios in the simplest form:0)28 6390)27.9)105:133(vi) 3-:2(iii) 04:06(vii)VIl:4 8 10

Answer»

1 3/4 : 2 2/3

= 7/4 : 8/3

= 7*3 : 8*4

= 21:32

81012.

0 133 x 70"{(65x 49)

Answer»

13³×1/(65×49)²=2197/10144225=0.0002165764is the best answer

81013.

dian of the following data is 16. Find the missing frequencies aand b if the total of frequencies is 700-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40ClassFrequency 12 12154CBSE 2013

Answer»
81014.

15. A two digits number is 5 times the sum of its digits and this number is also equal to 5more than twice the product of its digits. Find the two digits number.

Answer»

10 is the 2 digit number

Let the digits of two digit are x and y

Then number = 10x + y

As per given condition 10x + y = 5(x + y)10x - 5x = 5y - y5x = 4yx = 4y/5........... (1)

10x + y = 2xy + 5 Put value of x from eq(1)

2*4y + y = 2*4y^2 /5 + 59y = 8y^2/5 + 58y^2 + 25 - 45y = 08y^2 - 40y - 5y + 25 = 08y(y - 5) - 5(y - 5) = 0(8y - 5)(y - 5) = 0y = 5/8, 5

As digits are only integer so, value of y = 5

From eq(1)x = 4*5/5 = 4

Therefore, Number = 4*10 + 5 = 45

81015.

3 The sum of the digits a two digits number is inthe digits me moversed the new ruler is 36. merethan original rumber. Identify the two digitnumber

Answer»

convert 2.5 gallons into litres

convert 2.5 gallons into litres

convert 2.5 gallons into litres

Consider that the digit at the ten‘s place is ‘x’ and the digit at one’s place is y.

so, the two digit number is 10x+y

Given,

x+y=10

=> x = 10-y…………..(i)

ER. RAVI KUMAR ROY

Also,

when the digits are reversed,

10y+x= 10x+y+36

Substituting the value of x from (i)

10y+10-y=10(10-y)+y+36

or, 9y= 100–10y+y+36–10

or, 9y+10y-y= 126

or, 18y= 126

or, y= 126/18

=> y=7

Substituting the value of y in (i)

x= 10–7=3

So the two digit number is 10x+y = 10*3+7 = 30+7 = 37.

81016.

nge the following decimals in descending(a) 4, 4.2, 4.25, 4.52, 4.002e are three cases of multiplication of decimal

Answer»

Descending order :

4.52, 4.25, 4.2, 4.002, 4

81017.

C. Complete the spellings :1. E_1_p_e3. N r al5.R nd7. St nge9. Di2.Ef et4. Ca_se6. Af__id8. S nstond

Answer»

1)Eclipse2)effect3)normal4)cause5)round6)afraid7)strange8)sunset9)diamond

81018.

A number is increased by 20% and thenresulting number is decreased by 15%. Findthe net increase% or decrease%.

Answer»
81019.

quores. Use les 162.5.Draw Punnett square to help you answer the questionsA. GGxggB. GgXgHow many GG?How many GGZHow many Gg?How many Gg?How many gg?How many gg?Multiply the number by 25 to get percentage for each- White

Answer»

your GG 3 mene hai or

81020.

Answer the following:How many curved faces does a cone have?How many plane faces does a cylinder have?....How many plane face does a sphere have ?How many curved faces does a cylinder have ?...

Answer»

how many curved faces does a cone have

1-one curved surface2-two plane surface3-two4-one

1-one curved surface have a cone.2-two plane faces have a cylinder.3-two plane face have a sphere.4-one curved face have a cylinder

1= one curved surface of cone2= two plane surface of cylinder3= two plane surface of sphere4= one curved surface of cylinder

81021.

A coin is tossed 150 times and the outcomes are recorded as follows:OutcomesFrequencyn one head.(in) one tail.8565If coin is tossed again, compute the probability of obtaining

Answer»

one head=head/total=85/150=17/30one tail=tail/total=65/150=13/30

81022.

200 Gram Milk powder Rs 105..Then 1kg milk powder Rs?

Answer»

200 gm costs= 105200*5= 1000 gm = 1 kg will cost= 105*5= 525 rs

200 hm costs= 105200*5= 1000 gm = 1 kg will cost=105*5= 525 rs

81023.

The table below shows the salaries of 280 persons:Salary (in thousand □) | No. of Persons4913363155-1010-1515-2020-2525 -3030-3535-4040-4545 507Calculate the median salary of the data.

Answer»
81024.

The table below shows the salaries of 280 persons:Salary (In thousand ) No. of Persons5- 1010-1515- 2020-2525 3030-3535-4040-4545 504913363154Calculate the median salary of the data

Answer»

hit like if you find it useful

81025.

The table below shows the salaries of 280 persons:Salary (In thousand)5 1010-1515 -2020 2525 3030-3535-4040- 4545-50No. of Persons4913363154Calculate the median salary of the data.

Answer»
81026.

SSAThe table below shows the salaries of 280Salary (In thousand) No. of Persons5 1010 1515 2020 2525 3030 3535-4040-4545 50491336315Calculate the median salary of the data.

Answer»
81027.

-4*sqrt(3)/(sqrt(2) %2B sqrt(6)) %2B (3*sqrt(2))/(sqrt(3) %2B sqrt(6)) %2B sqrt(6)/(sqrt(2) %2B sqrt(3))

Answer»

3V2( V3-V6)/(V3)^2+(V6)^2=3V6-3V12/3-6=-3V6/9, 4V3(V6-V2)/(V6)^2×( V2)^2=4V18-4V6/6

3V2 x V3-V6/( V3)^2-( V6)^2=3V6-3V12/3-6=-3V6/-3=3V6/3= V6____(1), 4V3(V6-V2)/( V6)^2-( V2)^2=4V18-4V6/6-2=4V12/4=- V12_________(2), V6 x(V2-V3)/(V2)^2-(V3)^2=V12-V18/2-3=-V6/-1_________(3), V6- V12-V6=V6-V12-V6=-V12

3V2/V3+V6=3V2 x (V3-V6)/( V3)^2-( V6)^2=3V6-3V12/3-6=3(V6-V12)/3=V6______(1); 4V3/V6+V2=4V3(V6-V2)/( V6)^2-(V2)^2=4V18-4V6/6-2=4(V9)/-4=-3___________(2) V6/V2+V3 × V2-V3/V2-V3= V6(V2-V3)/( V2)^2-(V3)^2= V8-V18/2-3=V10/-1=-V10__(3) V6-(-3)-V10= V16+3=4+3=7

3V6/V3+V6- 4V3/V6+V3 + V6/V2+V3 =3V2(V3-V6)/3-6 -4V3(V6-V3)6-3 + V6( V2-V3)/2-3= 3( V6-V6)/3 -4(V18-V6)/4-( V12-V18)=V6-V6-V18+ V6-V12+V18=-V6

81028.

raw a triangle ABC with side BC 6 cm,AB 5 cm and ZABC6a triangle whose sides areof the corresponding sidesof the trianąleAB

Answer»

1

2

3

4

5

6

6

81029.

A two-digit number is made of two consecutive digits such that the sum of their squares is 4less than the number. Find the two-digit number.

Answer»

Let one place digit be x and ten place digit be (x + 1) of two digit number.

Then,Number = 10*(x + 1) + x = 11x + 10

As per given conditionx^2 + (x + 1)^2 = (11x + 10) - 4x^2 + x^2 + 1 + 2x = 11x + 62x^2 - 9x - 5 = 02x^2 - 10x + x - 5 = 02x(x - 5) + 1(x - 5) = 0(2x + 1)(x - 5) = 0x = - 1/2, 5

Negative value not possible

Therefore,Two digit number= 11*5 + 10= 65

81030.

number obtained by reversing the digits is 252. rind the numberA two-digit number is made of two consecutive digits such that the sum of their squares isless than the number. Find the two-digit number.

Answer»

Let one place digit be x and ten place digit be (x + 1) of two digit number.

Then,Number = 10*(x + 1) + x = 11x + 10

As per given conditionx^2 + (x + 1)^2 = (11x + 10) - 4x^2 + x^2 + 1 + 2x = 11x + 62x^2 - 9x - 5 = 02x^2 - 10x + x - 5 = 02x(x - 5) + 1(x - 5) = 0(2x + 1)(x - 5) = 0x = - 1/2, 5

Negative value not possible

Therefore,Two digit number= 11*5 + 10= 65

81031.

4. One of the two digits of a two digit number is three times the other digit. If you interchangethe digits of this two-digit number and add the resulting number to the original number, you get88. What is the original number?Sohil nge five vears from now

Answer»

Let the digit in units place = xThe digit in tens place = 3xThe number is 10(3x) + x = 31x

Digits are interchangedDigit in units place = 3xDigit in tens place = x

The new number= 10(x) + 3x = 13x

Sum of these two numbers = 88

31x + 13x = 88

44x = 88

x = 2

3x = 6

The originalnumber is 62

81032.

TF 4 students sit on each bench then 3 bencioch then 3 students remain standaSLO3. There are some benches in a classroom. Tf 4 studenteremains empty and if 3 students sit on each bench thenFind the number of students in the class.

Answer»

hdydusisije hsyheieoeoje ye krdi wjbwjwowjeihr geuowge krdi dle

hy2ywyudydy says e6e we are eye heve

Let the number of banches be xand that of students be y then according to question4x -12 = y ... (i) 3x + 3 =y ... (ii) subtracting eq 2 from 1,x - 15 = 0x = 15hence number of banches is 15

Branch 15........................

81033.

15. One of the two digits of a two-digit number is twice the other digit. If you interchange the digit of thetwo-digit number and add the resulting number to the original number, you get 66. What is the originalnumber?

Answer»
81034.

siits digits is 18 more than the original number. Find the original number.The difference between a 2-digit number and the number obtained by interchanging itsdigits is 63. What is the difference between the digits of the number?In a 2.digit number, the tens digit is thrice the units digit and the hundreds digit is four

Answer»
81035.

In a bag, there are some 25paise coins and the same number of 50paise coins. If theamount in the bag is300, how many 25p and 50p coins are there in a bag?

Answer»

Let 25paise coins are and 50paise coins are xTotal amount=300Rs25x/100+50x/100=30075x/100=30075x=30000x=400

81036.

one 50p coin can be changed for 10p coins

Answer»

5 is the correct answer

5 coin is the right answer

5 coin is the right answer

5 is the right answer

5 coin is right answer

5 is the correct answer

5 is a correct answer

81037.

7 Brooke will watch television for 90minutes on Saturday morning. She will startwatching at 9:30 A.M. At what time will shestop?AC1211 12221095.68cPuhishing LLC

Answer»

90 min =1 hr 30 min9:30 + 1:30 =10:60 = 11:00 a.mAnswer is b

81038.

12 – {8 + (3 –1)} କୁ ସରଳ କଲା.20 x {6 + (3 –2)} କୁ ସରଳ କରିକସରଳ କର : ।[9 x{7- (2 +3)}] ।1-[1– {1- (1-1-1)}}5-15 {5 (55-5)}] ।। [3x2- (2 x 6-3)+(15 +

Answer»
81039.

2. Complete the table and i9102t + 125. Complete the table and find the solution to the equation 7x 4 38.9 1087x-44. Complete the table and find the solution to the equation38354010 1520 25 305. Complete the table and find the solution to the equation4.1210 1113 143

Answer»

3.

1 - 3

2 - 10

3 - 17

4 - 24

5 - 31

6 - 38

So,x = 6

81040.

\left. \begin{array} { l } { \frac { 4 + \sqrt { 5 } } { 4 - \sqrt { 5 } } + \frac { 4 - \sqrt { 5 } } { 4 + \sqrt { 5 } } } \\ { \frac { 1 } { \sqrt { 3 } + \sqrt { 2 } } - \frac { 2 } { \sqrt { 5 } } - \frac { 3 } { \sqrt { 2 } - \sqrt { 5 } } } \\ { \frac { 2 + \sqrt { 3 } } { 2 - \sqrt { 3 } } + \frac { 2 - \sqrt { 3 } } { 2 + \sqrt { 3 } } + \frac { \sqrt { 3 } - 1 } { \sqrt { 3 } + 1 } } \\ { \frac { 2 \sqrt { 6 } } { \sqrt { 2 } + \sqrt { 3 } } + \frac { 6 \sqrt { 2 } } { \sqrt { 6 } + \sqrt { 3 } } - \frac { 8 \sqrt { 3 } } { \sqrt { 6 } + \sqrt { 2 } } } \end{array} \right.

Answer»
81041.

10.AWHILE LWU SUTULUHIS UI de yuationIn the given figure AB CD.LAEF = 50° and ZFGC = 30°Find the value of x.

Answer»

100 is the value of x .

the value of x is 280 degree

plz mark as best plz plz plz plz plz plz plz plz plz plz plz plz

81042.

iles the tens digits is the number itself. Findl two digit number, the digit at the unit place is half the digit in the tens place. The numberthe sum of its digit by 54. Find the numberdigit number, the tens dipit ir tсе

Answer»
81043.

is the two-digit number?One of the two digits of a two digit number is three times the other digit. If youinterchange the digits of this two-digit number and add the resulting number to theoriginal number, you get 88. What is the original number?

Answer»
81044.

EXERCISE 12.2A TV tower stands vertically on the side of a road. From a point eu the other sedirectly opposite to the tower, the angle of elevation of the top of tower is 60.another point 10 m away from this point, on the line joining this point to the foot of fetower, the angle of elevation of the top of the tower is 30°. Find the height of the toweand the width of the road.

Answer»
81045.

4.The numbee of hours for which studente ofo postleular elass watcheduring holidays is shown through the given grapha. For how many hours did the maximum number of students wateh TV?b. How many students warched TV for less than 4 hours?c. How many students spent more then 5 hours in watching TV?12-0

Answer»
81046.

line l and draw another line m parallel to l at a distance of 4.3 cm from

Answer»
81047.

t's using the digits 5.7, 6, 3, 8, 2, 1, 0 and 4.Repetto moveu.Write the smallest 7-die smallest 7-digit number ending in 3 and greatest 8-digit number endinding off Numbers

Answer»

1000003 is smallest,99999995 is largest

1000003 is the smallest one ;99999995 is the largest number

81048.

State whether it is possible to draw thefollowing triangles. If it is possible, write thetype of the triangle and if it is not possible,explain briefly the reasons.(a) AABC with:AB = 7 cm, BC = 4 cm and CA = 5 cm(c)

Answer»

yes its possible

it is scalene triangle.

81049.

BABILITY309oy bank contains hundred 50p coins, fifty ? 1 coins, twenty 2 coins and tent ScoIATi0. A piggyIf it is equally likely that one of the coins will fall out when the bank is turnedwhat is the probability that the coin G) will be a 50 p coin? (i) will not bea5 coin?

Answer»
81050.

\left. \begin{array} { l } { \text { Factorise: } 10 x ^ { 2 } - 18 x ^ { 3 } + 14 x ^ { 4 } } \\ { \text { a. } 2 x ^ { 2 } ( 7 x ^ { 2 } - 9 x + 5 ) } \\ { \text { c. } } & { ( 7 x ^ { 2 } - 9 x + 5 ) } \end{array} \right.

Answer»

10x^2-18x^3+14x^4=2x^2(5-9x+7x^2)=2x^2(7x^2-9x+5)