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79901.

In classes 1-10, 11-20,...... the upper boundary of 1-10 class is...(A) 10(B) 10.5(C) 9.5(D) 20

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upper boundary is 10

upper boundary will be 10 in this caseThe lower limit for every class is the smallest value in that class. On the other hand, the upper limit for every class is the greatest value in...

79902.

A and B are two stations 390 km apart. Atrain starts from A at 10 am and travelstowards B at 65 kmph. Another trainstarts from B at 11 am and travels towardsA at 35 kmph. At what time do theymeet?

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The main thing to remember is our basic idea that distance = rate x time.

If we think about it, no matter how far each train travels, when they meet, they will have together travelled 390k.

If we let x = the time travelled by train A, then train B travels x - 1 hours, because it left one hour later.

Train A's distance is then 65x and train B's is 35(x - 1) = 35x - 35.

Together, the trains travel the 390k

65x + 35x - 35 = 390

100x - 35 = 390

100x = 425

x = 4.25 = 4 hours and 15 minutes

So, the two trains meet at 2:15.

79903.

凡8.Find two positive numbers whose sum is 16 and product is maxi num.

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79904.

Find two positive numbers a and b whose AM and GM are 34 and 16respectively.

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a+b/2 = 34 hence a+b = 68 .256 = ab.from here, u get :a(68-a)=256a2-68a+256=0(a-4)(a-64)=0hence,a= 4 or a = 64b=64 or b = 4

hence numbers are 4 and 64.

79905.

There are 10 labours, who when working together, can load certain number of sacks in five hours on the truck.The sacks carrying efficiency per hour of the ten labours are in the ratio of 1:2:3:4:5:6:7:8:9:10.Initially all the 10 labours started working. After 1st hour each the labour carrying maximum number of sacksstops working. After the 2nd hour the labour carrying second maximum number of sacks stops working and thiscontinues. Find the time in which all the sacks are loaded on the truck.

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79906.

Excluding stoppages, the speed of a bus is 54km/hr and including stoppages, it is 45km/hr. For how many minutes does the bus stop per hour?a. 12c. 91.b. 10d. 15

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Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = (9/54) hour= (1/6)*60 minutes= 10 minutes

79907.

amar can walk walk 5 km in 1 hour. How much distance well he covered in 2 hours?

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10 km hi 2 hrs is the answer

79908.

The scale of a map is 1:4000000. What is the actual distance between the two towns, if they are 5cm apart on the map.

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79909.

24. Two trains moving with the speed of 50 km/h and 65 km/h, start at the same time from bistations 345 km apart. If both the trains run in opposite directions, after how many hoursthey cross each other?

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The relative speed=50+65=115km/hrthe distance=345 kmtime =345/115=3 hr

79910.

if the product of two numbers and sum of those numbers is given separately,how we can get the two individual numbers?

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Given x + y and xy.Use the identity (x - y)^2 = (x + y)^ - 4xy and find x - y.Solve x + y and x - y and obtain x and y.

a+b=68ab=256Then by substitutiona+256/a=68a²-68a+256=0a=(68+-root(68²-(4*1*256))/2=68+-60)/2=64,4Now find b

79911.

Two numbers are of HCF 9 and LCM 819, one of two numbers is two digits, then second

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Let the Number be x and yxy= LCM x HCFxy= 9 x 819xy = 7 x 9 x 9 x 13The number can be (9,91) (9,819) but because we know that one of the number is in two digitthe numbers are - 9,91

79912.

The difference of two positive numbers is 72 and the quotientobtained on dividing one by the other is 4. Find the numbers.

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Let the one nu.is x Other x + 72 X+ 72/×=4 ×+72=4× 4x-x=72 3x=72 X=24 ans One number is 24 Other 72+24=94

plz accept as best

y-24, x-96 plz give me point byyyyyyyyyyyyyyyyyyyyy

79913.

Example 32: A truck travellinghour left Delhi. An hour later, a car leaves Delhiand catches up with the truck after four hours. Whatwas the average speed of the car?at a speed of 40 km/

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79914.

Problem 10.Two bus routes stop at a certain bus stop. The A bus comes in one -hour intervals while theB bus also comes in regular intervals of a different length. When grandma rests on the benchby the bus stop, one A bus and two B buses come by. Later, grandpa rests on the same benchand eight A buses come by. The minimum number of B buses that must have come byduring that time is less than p, then find the least p

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the least of P would be 8+1 = 9

because in 1 hour only 1 A bus can come.

suppose B comes in every 59 min.

so before end of 8th hour , only 7 A busses would come.

but since 59min will complete first before the completion of that last hour , so bus B will come again.

so min value of B will always be A+1.that is 9.

79915.

A spherical raindrop evaporates at a rate proportional to its surfacearea. If originally its radius is 3 mm and 1 hour later it reduces to 2 mm, find anexpression for the radius of the raindrop at any time.

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79916.

How many bricks of 20X16X8cm will be required to build a wall 30cm long, 30cm thick and 5m high?

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79917.

* Let's look at a clock again! Solve this one-a) The minute hand started from '2'. How many minutes willit take to come back to '2' again?_b) What happens to the hour hand? Does it also move? Howlong will it take to move from one number to the next?c) Look around you and list the activities that take about onehour to complete.Aoi oiti iHow long does it take tocook dinner at home?More than an hour/lessthan an hour.Ask your father if he can cook as fastas your mother does. Yes/NoWhich games take less than an hourto finish?How long does a football match take?Mall the things they can do in one minute. Observir

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which of the plant around you need regular watering

[a] the minute hand will take 60 minutes to come back 2 again. [b] yes the hour hand also moves. it takes one hour for 60 minutes to move from one number to the the next number.[c] following are some of the activities that take about one hour to complete. (1) cooking food(2) washing clothes (3) get ready for school (4)

79918.

These log boats do not go very far.If the wind is helpful, they travelabout 4 km in one hour.* How long will they take to go adistance of 10 km?* Guess how far you can go inone hour if you walk fast.

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79919.

How many geometry boxes of size 16cm x 3cm x 2cm can be packed into a box ofsize 80cm x 25cm x 30cm?

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79920.

Two trains in two different towns 920 km apart are travelling at speeds of140 km/h and 90 km/h. If both of the trains left at 4 a.m., at what time will theypass each other?4.

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79921.

three squares of a chess board are selected at random. the probability of getting two squares of colour and other of

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79922.

Two trains for Jhansi leave from Delhi at 10 am and9.30 am and travel at 80 km/h and 70 km/h respectively.How many kilometers from Delhi will the two trains betogether.(a) 360 km (b) 320 km (c) 270 km (d) 280 km

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every hour first train will cover 80 km and second train will cover 70 km.first train leave at 10 and second train leave at 9:30.after 3.5 hrs first train will cover 280 km.after 4 hrs second train will cover 280km.that means at 13:30 both train will together and that is 280 km from delhi.

79923.

The difference of two squares of two numbers is 180. The squaresof the smaller number is 8 times the larger number. Find the twonumbers.

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taking x= -10

79924.

Let us work out1.3The difference oftwo positive whole numbers is 3 and the sum of their squares is 117;bycalculating, let us write the two numbers.

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Let the numbers be a and ba-b=3a^2+b^2=117(a-b)^2=a^2+b^2-2ab3^2=117-2ab2ab=117-92ab=108

(a+b)^2=a^2+b^2+2ab(a+b)^2=117+108√(a+b)^2=√225(a+b)=15A-b=32a=18A=9

79925.

236Multiple Choice Questions (MCQs)10. A roller is 120 cm long and has diameter 84 cm.If it takes 500 complete revolutions to level aplayground, determine the cost of levelling it athe rate of30 paise per m2. | π =-

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Surface area of on revolution = 2∏rh= 2 x 22/ 7 x 60 x 84now for 500 revolution = 2 x 22/7 x 60 x 84 x 500=1584 m2now cost leveling 1 m2 = Rs. 0.30= for 1584 m2 = 0.30 x 1584 = Rs. 475 . 20

79926.

Express32J2 + B SSwith nationaldenominatou

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3V2/V2+V3-V5 = 3V2(V3+V2+V5)/{( V3+V2-V5}(V3+V2)+V3 = . 3(V6+2+V10)/(V3+V2)^2-(V3)^2= 3V6+6+3V10/3+2+2V6-5= (3V6+6+V10 )× V6/2-6x-6x= 6×3+6V6+V60/2×6= 18+6V6+V60/12

79927.

If α and β are the p th and q th terms of an AP, then show that the sumoffirst (p+q) terms of the AP is(p+q) (α+β+α-β/p-q)

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79928.

14-The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 complete revolutionsto move once over to level a play ground. Find the area of the play ground in m

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79929.

The diameter of a roller is 84 cm and its length is 120 cm. It takes 500 completerevolutions to move once over to level a playground. Find the area of the playgroundin m4.ourdiameter and 3.5 m in height. Find the cost of painting

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79930.

The sum of first q terms of an AP is 162.ration of its 6th term and 15th term is 1:2 respectively. Find first term and 15 term. In numbers

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It think the question might be 9 terms instead of q terms. if it is q terms then we would not get the values of the terms in numbers.Here is the solution of the problem if the sum of 9 terms of A.P is 162.Given,

Sum of terms= 162Ratio of 6th term and 13th term= 1:2Formula is an= a₁+(n-1)d

Then the sixth term a₆= a₁+5dThe 13th term is a₁₃=a₁+12dAs given a6/a₁₃ is 1/2(a₁+5d)/(a₁+12d)=1/2

After cross multiplication2(a₁+5d)=1(a₁+12d)2a₁+10d=a1+12d2a₁-a₁=12d-10dTherefore the first term a₁=2dSn=(n/2)[2a+(n-1)d]S₉=(9/2)[2(2d)+(9-1)d]S₉=(9/2)(4d+8d)162=(9/2)(12d)162=9(6d)54d=162d=3a1=2d=2(3)=6a₁₅=6+(15-1)3=6+3(14)=48The first term of A.P is 6The 15th term of A.P is 48

9 hota to may solve nahi kar leta

79931.

A rectangular sheet of paper 30 cm × 18 cm can be transformed into thecurved surface of a right circular cylinder in two ways namely, eitherby rolling the paper along its length or by rolling it along its breadth.nalFind the ratiof the volumes of the two cylinders, thus formed.

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79932.

. A car travelling at 60 km/hr left Dehradun at 3 PM. One hour later, another car travelling at80 km/hr started over the same road to overtake the first. How long must the second car traveto overtake the first car?relled for (rn hours and

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In which direction? If they’re going north I wouldn’t imagine either would make it very far at all at those speeds.Maybe the guy who sets off second doesn’t WANT to overtake the guy who set off first. Maybe he’s one of those guys who drives really fast up behind you then sits on your arse waiting for you to get out of the way.What cars are they in? They’ll need to stop for petrol at some point.What’s the traffic like? Are the 2 cars able to maintain their speeds given the traffic? Would it be possible to overtake due to cars travelling in the opposite direction?What’s the speed limit? If it’s lower than 80km/h, what are the chances the 2nd driver will be pulled over by the police?Phew… variables done.Now, if it was a nice straight road with no traffic, both cars were the exact same specification and accelerated at the same rate, and neither car had to stop for petrol, the 1st car would’ve been going for 4 hours and the 2nd car for 3, but the question doesn’t specify whether the clock starts when car 1 or 2 sets off.Either way, no roads from Dehradun are suitable for this experiment

79933.

2) A rectangular sheet of paper 30cm x 18cm can be transformed into thecurved surface of a right circular cylinder in two ways by rolling theper along its length or by rolling it along its breadth. Find the ratio of tovolumes of the two cylinders thus formed.

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79934.

Two water taps together can fill a tank inhours. The tap of larger diameter takes 10hours less than the smaller one to ill he tank separaely, Find the time in which each upcan separately fill the tank.

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79935.

An exterior angle of a triangle is 110° and one of the interior opposite angle is 30°. Find the other two angles of the triangle.

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The sum of interior opposite angles is equal to the external angle.110=30+xx=80° The sum of all angles in a triangle is80+30+y=180y=70So the other two angles is 70 and 80.

79936.

or the passenger train, ind the aveage Spced of the two trains11. Sum of the areas of two squares is 468 m. If the difference of their perimeters is 24 mfind the sides of the two squares.

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79937.

(a) 95°(b) 53°30. In AABC, side BC is produced to D. IfLABC 40° and LCD = 1200, then LA z?(b) 40°(b) 60°(c) 70(d) 5(a) 60°120°40°(d) 50° B36. In th

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79938.

14. Sum of the areas of two squares is 468m2. If the difference of their perimetersis24m,find the sides of the two squareshroiden work in 4 davs, while 3 women and

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Let the side of the larger square be x.Let the side of the smaller square be y.According to the question, x2 + y2 = 468 --------- (1)Perimeters of the squares = 4x and 4y.⇒ 4x - 4y = 24⇒ x– y = 6⇒ x= 6 + yx^2 + y^2 = 468Substituting the value of x in equation (1)⇒ (6+y)^2 + y^2 = 468⇒ 2y^2 + 12y + 36 = 468⇒ y^2 + 6y + 18 = 234⇒ y^2 + 6y - 216 = 0⇒ (y – 12)(y + 18) = 0⇒ y = 12 or -18Since y denotes a length, it cannot be negative.∴ y = 12⇒ x = (12 + 6) = 18 m

∴ Sides of the squares are 18 m and 12 m.

79939.

17)**From a point P, two tangent segments PA and PB are drawn to a circle with centre O.If OPdiameter of the circle, show that ΔΑΡΒ is equilateral.

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79940.

(3) The diameter of the roller is 84 cm and its length is120 cm. It takes 500 complete revolutions to moveonce over to level a playground. Find the area ofthe playground in square metres. [4 marks]Ans.

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Given,Diameter = d = 84cmRadius = r = d/2 = 42cmLength = l = 120 cmT.S.A of cylinder = 2πrh = 2 x 22/7 x 42 x 120 = 31680 cm²Area levelled by 500 revolution = Area of playground= 500 x 31680cm²= 15840000 cm² [ change into m]= 1584 m²

what is the area of play ground

79941.

(3) The diameter of the roller is 84 cm and its length iscm. It takes 500 complete revolutions to moveonce over to level a playground. Find the area ofthe playground in square metres. 14 marks)120Ans.

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Given radius of roller r = 84/2= 42 cmLength of roller h = 120 cm

In one revolution roller cover area = 2*pi*r*h= 2*22/7*42*120= 2*22*6*120= 31680 cm^2= 3.1680 m^2

Area of playground= 500*3.1680= 1584 m^2

79942.

tions(IMCds)1. How many bricks, each measuring 25 cm x11.25 cm x 6 cm will be needed to build a wal8 m x6 m x 22.5 cm.(a) 5600(c) 6400(b) 6000(d) 7200

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79943.

The sum of first p-terms of an A.P, is q and the sum of first q terms is p, find the sum of first (pterms

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79944.

O. If the sum of first 7 terms of AP is 49 and that of first 17 terms is 289, find the sum of first rnterms. Find the number of terms of the AD 19. 15

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79945.

0 95(n) 110°(in) 115s If two supplementary angles are equal, find the angles

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If two supplementary angles are equal:The answer is;Supplementary angle =180 degreeequal supplements = 180/2=90°

Therefore : 90 +90 (equal supplements) = add up to give a supplementary angle.

The answer is 90° each.

thank you

79946.

9. Two water taps together can fill a tank in 9hours. The tap of larger diameter takes 10hours less than the smaller one to fill the tank separately. Find the time in which each tapcan separately fill the tank.

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79947.

square of side T clIf two supplementary angles differ by 48°, find the angles.15)

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79948.

9.Two water taps together can fill a tank in 9 hours. The tap of larger diameter takes 10hours less than the smaller one to fill the tank separately. Find the time in which each tapcan separately fill the tank.

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79949.

In a triangle, if the squares of the one side is equal to the sum of the squarestwo sides, then the angle opposite to the first side is a right angle. Prove it.

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79950.

26. In a triangle if square of one side is equal to the sum of the squares of the other two sidangle opposite to the first side is a right angle.Or

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