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5501.

10. An express train takes 1 hour less than a passenger train to travel 132 kmMysore and Bangalore (without taking into consideration the time theyintermediate stations). If the average speed of the express train is 11km/h moreof the passenger train, find the average speed of the two trains.hence

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5502.

An express train takes 1 hour less than a passenger train to travel 132 km betweerMysore and Bangalore (without taking into consideration the time they stop atintermediate stations). If the average speed of the express train is 11km/h more than thatof the passenger train, find the average speed of the two trains.

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5503.

1. A survey was conducted by a group of students as a part of their environment awarenessprogramme, in which they collected the following data regarding the number of plants in20 houses in a locality. Find the mean number of plants per house.umber ofplants 10-22-4 14-6, 6-8し10110-12 112-1422Number of houses 1Which method did you use for finding the mean, and why?

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gubcf Huntington junction

5504.

ne lethodEXERCISE 14.1survey was conducted by a group of students as a part of their environment awarenes6programme, in which they collected the following data regarding the number of plants n20 houses in a locality. Find the mean number of plants per house.10-212-4+6_-818-10Number ofplants10-12122Number of housesI2

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thanku .i know the answer i only check it that it's work properly or not

5505.

The length of a rectangle is twice its breadth, if length is decreased by 5 cm and the breadth is increased by 5 cm. The length of the rectangle is:

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5506.

EXERCISE 13.1A survey was conducted by a group of students as a part of their environment awarenessprogramm20 houses in a locality. Find the mean number of plants per house.e, in which they collected the following data regarding the number of plants inofplants 0-2-4-6 6-8 8-10 1-122-A52Number of houses

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5507.

A square and a rectangular field withmeasurements as given in the figure have the sameperimeter. Which field has a larger area?Mrs, Kaushik has a square plot with the60 m80 m(a)

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thank u for giving answer .

5508.

1. An ox in a kolhu is tethered to a rope 3 m long. How much distance does it cover in 14

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5509.

. An ox in a kolhu is tethered to a rope 3m long. How much distance does itcover in 14 rounds?

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your answer will be 264m

5510.

An ox in a kolhu is tethered to a rope 3 m long. How much distance doesit cover in 14 rounds?3

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5511.

1. A survey was conducted by a group of students as a part of their environment avarenessprogramme, in which they collected the following data regarding the number of plantsin20 houses in a locality. Find the mean number of plants per house.

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5512.

EXERCISE 14.1A survey was conducted by a group of students as a part of their enviroprogramme, in which they collected the following data regarding the number of20 houses in a locality. Find the mean number of plants per house.I.0-2-14-6b-8110110-12112-HINumberofplants,Number ofhouses 16Which method did you use for finding the mean, and why?

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5513.

12. Divide 36 into two parts in such a way that twice thefirst part and five times the second part add up to 120.

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first part is 18 and second part is 2.

first part 20second part 1620*2+16*5=40+80=120

1st is 18 and 2nd is 2 this is the answer

1st is 18 and 2nd is 2 this is the ans of the ques

5514.

Verify that the following numbers are in proportion :0 12, 18, 40, 60(ii) 5, 8, 10, 16(ii) 3, 5, 6, 10(iv) 10, 12, 5, 6zz1

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i) 18/12=1.5 40/18=2.22so not in proportionii) 5/3=1.676/5=1.3so not in proportioniii) 8/5=1.6 10/8=1 25so not in proportioniv) 12/10=1.2 5/12=0.42so not in proportion

5515.

The length of rope A is 40% of the length of rope B which is 5 m long. Find the 5 cm length of two ropes?

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rope A is 40%hence40/100*5=2m

5516.

45 meters long and 40 meters wide ina rectangular playground is around theground fourpaths. There is a wide roadand the area of the road is 450 squaremeters.

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what is your question

i understand the statement but where is your question

5517.

From a rope 40 metres long, pieces ofequal size are cut. If the length of one10piece is metres, find the number ofsuch pieces. 641

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length of rope = 40 m

length of one piece of rope = 10/3 m

ER. RAVI KUMAR ROY

number of pieces of rope = 40 /(10/3) = 40*3/10 = 12 pieces ANS...

12 pieces is the correct answer

5518.

d. out of a so0 meters big rope loometer,of rope is cut off butt of the remaininosope im love pieces are to be cut outHow many pieces can be made? Howmeich rope will be left over

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total length of rope = 500 m

length of rope cut off = 100 m

remaining length of rope = 500 - 100 = 400 m

ER. RAVI KUMAR ROY

length of each piece of rope cut off = 7 m

number of pieces in 400 m = 57

length of rope remaining = 400 - (57 x 7) = 400 - 399 = 1 m. (ANS)

correct answer is one

I don't know please like

5519.

14. A horse te14 40 m, by a rope 14 m long, On how much areae is tethered to one corner of a rectangular field, 60 m bygraze?Hint. Let ABCD be the rectangular fteld in which AB 60 m and BC 40 m.40 mLet the horse be tethered to corner A by a 14 m long rope.Then, it can graze through a quadrant of a ctrcle of radius 14 m.A 14 m60 mrequired area =( 1 x 22-1

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Area of field = 60 X 40 = 2400 m²The horse is tied at one corner of field so area horse can graze = ¼ area of circle of radius equal to length rope from which horse is tied Area horse can graze = 22/7 X 14 X 14 = 616 X 14 = 154m²

5520.

A horse is tethered to one corner of a rectangular field, 60 m by40 m, bygraze?a rope 14 m long. On how much area can the horse

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SP of the chair = Rs 1375Gain% = 10

CPofthechair={100(100+Gain%)×SP}CPofthechair={100(100+Gain%)×SP}

={100(100+10)×1375}=137500110=Rs.1250

hopessss

5521.

A goat is tethered to one corner of a rectangular field 60 m by 40 m, by a rope 14 m long. On how mucharea can goat graze?.

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5522.

3)1)A horse is tied to a post by a rope. If thehorse moves along a circular path, alwayskeeping the rope tight and describes 88meters when it traces the angle of 72 atthe centre, then the length of the rope is

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Length of arc =θ360×2πrθ360×2πr

72360×2×227×r=8872360×2×227×r=88

r=88×7×36072×2×22=70m

length of arc=8360×2x227xr=88; r=88×7×36072×2×22=70m

5523.

If x=8 +3/7, then find the value of x2+

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5524.

(2) Divide 125 into two parts such thattwice one part is equal to thrice the otherpart

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2x+3x=1255x=125x=125/5=25

Therefore ,Ist part =2x=2*25= 502nd part=3x=3*25= 75

2x+3x=125 5x=125 x=25 hence 50 and 75

5525.

Divide 36 into two parts in such a way that 1/5th of one part is equal to 1/7th of the other.

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5526.

23. A solid right circular cone of height 60 cm and radius 30 cm is droppedin a right circular cylinder full of water, of height 180 cm and radius60 cm. Find the volume of water left in the cylinder, in cubic metres.ICBSE 2015]

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5527.

OBSE 2015, T723. A solid right circular cone of height 60 cm and radius 30 cm is droppedin a right circular cylinder full of water, of height 180 cm and radius60 cm. Find the volume of water left in the cylinder, in cubic metres.

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5528.

23. A solid right circular cone of height 60 cm and radius 30 cm is droppedin a right circular cylinder full of water, of height 180 cm and radius60 cm. Find the volume of water left in the cylinder, in cubic metres.ICBSE 20151

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5529.

CBSE 201523. A solid right circular cone of height 60 cm and radius 30 cm is droppedin a right circular cylinder full of water, of height 180 cm and radius60 cm. Find the volume of water left in the cylinder, in cubic metres.CBSE 2015

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5530.

A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing ona hemisphere of radius 60 cm is placed upright in a right circular cylinder full of watersuch that it touches the bottom. Find the volume of water left in the cylinder, if the radiusof the cylinder is 60 cm and its height is 180 cm.7.

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5531.

3. The circumference of a circle exceeds its diameter by 180 cm. Then its radius is

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5532.

A number is divided into two partsone part being 4 times the other. Thedifference between the two parts is 15.What is the number?

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Let one part be x and other will be 4x.

according to question. 4x-x =15 =>3x =15 =>x =5

Hence, the number =x+4x =5x =5*5 =25.

5533.

15. Divide 184 into two parts such that one-third of one part may exceed one-seventh of theother part by 8.Hint. Let the two parts be x and (184-x). Then,-X--(184-x) =83 7

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5534.

Divide 184 into two parts such that one-third of one part may exceed one-seventh of theother part by 8.Hint. Let the two parts be x and (184 - x). Then.x-084 - x) = 8.of the total number of

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y= 112 is correct answer plz like

5535.

will be the length of each side of the square?The diamyoǐwn18.eter of a wheel of a car is 84 cm. How many revolutions will it make to travel 132 km?AREA OF A CIRCLEirole and shode halt of the circle as shown in the figure.

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5536.

15. Divide 184 into two parts such that one-thurd of one part may exceed one-seventh of theother part by 8.Hint. Let the two parts be x and (184-x). Then,-x--(184-x)-83 7

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5537.

This circle is divided intotwo equal parts. Out ofequal parts onepart is coloured blue.

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5538.

1. In a histogram the area of each rectangle is proportional toa) the class mark of the corresponding class intervalb) the class size of the corresponding class intervalc) frequency of the corresponding class intervald) cumulative frequency of the corresponding class interval

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5539.

11) Find the unknown values in the following table.C-I0-1010-2020-3030-4040-50FrequencyCumulative frequencyX118X330X2X4

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5540.

19. Balanced diet should contain 12% of proteins, 25% of fats and 63% of carbohydrates. If achild needs 2600 calories in his food daily, find in calories the amount of each of these inhis daily food intake.

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ans is 2/8 is the according to the question cholres is 47% ams

5541.

containcalorie12%) A balanced diet shouldcalorie intake frintake from proteins, 25%fats, and the rest from carbohydrates. fcertain person is prescribed 1300day, find his calorie intake from each of thper daycalories perer

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5542.

The speeel ofof an express train. İs χ kmh and the speedexpreef an ordinary train is 12 kmhr less than that op anexezess hain If the ordinasry troin takes one hour longenthen the express train to coven a distane of 240the speed lef the espress train

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Given, Speed of express train = x km/hrThen speed of slower train = (x - 12) km/hr

We know, Travel time = Distance/Speed

240/(x-12) - 240/x = 1

LCM: x(x-12)240x - 240x + 2880 = x^2 - 12xx^2 - 12x - 2880 = 0(x + 48)(x - 60) = 0x = -48(reject x>0)orx = 60

Therefore, Speed of the express train= 60 km/hr

please send me in a simple solution

5543.

The distance between Akola and Bhusawal is 168 km. An express traintakes 1 hour less than a passenger train to cover the distance. Find theaverage speed of each train if the average speed of the express train ismore by 14 km/hr than the speed of the passenger train.

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Let the speed of passenger train is x kmp and that of express train is y kmphDistance = 168 km

Time taken by Express train to travel between akola to bhusawal = 168/y hour

Time taken by passenger train to travel between akola to bhusawal = 168/x hour

According to the question Express train taking 1 hour less168/y + 1 = 168/x168x + xy = 168y168x - 168y + xy = 0..........(1)

ATQy = x + 14............(2)Substitute from eq 2168x - 168(x + 14) + x(x + 14) = 0168x - 168x - 2352 + x^2 + 14x = 0x^2 + 14x - 2352 = 0x^2 + 56x - 42x - 2352 = 0x(x + 56) - 42(x + 56) = 0(x + 56)(x - 42) = 0x = - 56, 42

negative value can be discarded.

Thus Speed of passenger train 42 kmph

Speed of express train = 42+14= 56 kmph

5544.

Art express train takes I hour less than a passenger train to travel 132 km betweenMysore and Bangalore. If the average speed of the express train is II km/h morethan that of the passenger train, Find the average speed of the two trains.

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tq

5545.

hours less than tie slane ntto mcan separately fill the tank.10. An express train takes I hour less than a passenger train to travel 132 km betweenMysore and Bangalore (without taking into consideration the time they stop atintermediate stations). If the average speed of the express train is 11km/h more than thatof the passenger train, find the average speed of the two trains.Idifference of their perimeters is 24 m,

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5546.

A survey regarding the height (in cm) of 50 girls of class X of a school was conducted andthe following data was obtained:Height (in cm) 120-130 130-140 140-150 150-160 160-170 TotalNo. of GirlsFind the mean, mode and median of the above data.

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5547.

A survey was conducted by a group of students as a part of their LVIIIIIIIIIIIIIIprogramme, in which they collected the following data regarding the number of plants in20 houses in a locality. Find the mean number of plants per house.1 0-2 2-4 4-6 6-8 8-10 10-12 | 12-14Number of plants1215623houses

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5548.

21. One of the end points of a diameter of a circle having centre at the origin isA (3. -2). Then, the coordinates of the other end point of the diameter are..A. (-3. 2) B. (1C.D. (3.-2)22. M is the foot of perpendicular drawn from P(5, 1) to the X-axis. Then, the coordinatesA 2을.)B.(-5. I)C' (0,-1)D.(5,0)

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ans of the first question is A (-3,2) because you know two coordinates then apply mid point formula and get your answer

let unknown coordinate be (x,y) now x+3/2=0 so x=-3 and -2+y/2=0 and y=2

ans of 2nd question is D

txs bhai

5549.

tо tосолирлссу!15. Pipe A can fill an empty tank in 5 hours while pipe B can empty the full tank in 6 hours. Ifboth are opened at the same time in the empty tank, how much time will they take to fill itup completely?both are opened at the same time in the empty tank.

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5550.

10. Two identical cubes each of total surface area of 6 cm2 are joined end to end. Whichof the following is the total surface area of the cuboid so formed?(ii) 18 cm2(i) 12 cm(ii) 10 cm2(iv) 8 cm2

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