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77601.

thus obtained. Write the mirror images Ol21. Two adjacent sides of a parallelogram are 5 cm and 3.5 cm. One of tsthe area of the parallelogramdiagonals is 6.5nlaine an order for making cardboard boxes for packing h

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Let us take case 5, 6.5 and 3.5 is the triangle.This is half the area of the parallelogram.Area of triangle 2s= 5+6.5 +3.5= 15s= 7.5s-a=2.5s-b=1s-c=4s(s-a)(s-b)(s-c)= 75Area of triangle = √ 75Area of parallelogram= 2 √ 75= 17.321cm^2

77602.

Solve(1) 7+8-14+1(2) -24+2+6+(-14)(3) 14+7-3-16

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1) 7+8-14+1 = 16-14 = 2 2) -24+2+6+(-14) = -38+8 = -30 3) 14+7-3-16 = 21-19 = 2

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77603.

uistarice betweeh them is I2 CITI.The area of a15trapezium is 125 cm?. The length of one of the parallel sides isem and the height of the trapezium is 10 cm. Find the length of the other parallel

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1/2 (15+x) * 10 = 125

15+x = 25

x = 10 cm

77604.

10. Sahil purchased 10 sheets of handmade paper from an NGO which supports child education programme. Eachsheet has the dimensions of 125 cm by 85 cm and he makes envelopes out of it. If cach envelope requires apiece of paper of size 17 cm by 25 cm, how many envelopes can be made in total?

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Number of envelopes = (125*85)/(17*25) = 25. Total envelopes = 25*10 = 250.

77605.

. 1500 boxes will fill the warehouse completely.3) If 5 litre molten mixture of khoa and sugar is poured in a tray it filto its full capacity. Find the length of the tray if its breadth is 40 cm aheight is 2.5 cmon lo solve the example fill the empty boxes with suitable numbers.Step (1): Capacity of tray = 5 litre = cc (: 1 litre = 1000 ccStep (2): Volume of mixture = c5Step (3): Volume of rectangular tray = volume of mixture1xbxh =[ cc(Imporlength x 40 x 2.5 =D c c, length = 100 = 50 cm.Now I know سردNow I know.Volume of cuboid = length x breadth x height = lxbxh

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all answer is 5000cc

77606.

Forces of magnitudes 2P, 4P, 3P and P act on a particle in directions parallel to the sides AB,BC,CDand DEof a regular hexagon. Find the magnitude and direction of their resultant.

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this will help

answer is P39^1/2 at arctan 7/3^1/2 to AB

please help me

direction of this will be tan⁻¹7/3

77607.

manu cycles to his school 14 km away and takes 56 min to do so. find his speed

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77608.

travels 22km by bus to reach his school. A museum is 6 km away from his school. How far is the34museum from his house?

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Total distance will be22 1/3km+6 1/4km=64/3+25/4=64*4+25*3/12=331/12=27.5kms

77609.

How many persoa big-hall of dimensions 40 m, 25 m and15 m, assuming that each person requiresns can be accommodated in95 m3 of air?reons

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Answer is 3000

77610.

6. In the given figure, a circleis inscribed in an equilateraltriangle ABC of side 12 cm.Find the radius of inscribedcircle and the area of theshaded region.[UseTt 3.14 and v3 1.73][Delhi 2014] (3)

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77611.

\operatorname { cos } 510 ^ { \circ } \operatorname { cos } 330 ^ { \circ } + \operatorname { sin } 390 ^ { \circ } \operatorname { cos } 120 ^ { \circ } = - 1

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77612.

8. Find the vector equation of the plane passing through the points (3, 4, 2) and(7,0,6) and perpendicular to the plane 2x-5y - 15 0. Also show that the planethus obtained contains the line r i+ 3j= 1 t 3-2k + λ (i-j-k).3j-2k+A-j+k

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77613.

Find the equation of the plane through the line of intersection of the planes x + y + 1and 2x + 3y + 4z = 5 which is perpendicular to the plane x-y + z = 0, Then find thedistance of plane thus obtained from the point A(1, 3, 6).P.T.O

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77614.

26.Find the vector equation of the plane that contains the line:(i+j) + λ(t + 2j-k) and rt = (1+/)+ μ(-i + j-2k).Also find the length of perpendicular drawn from the point (2, 1, 4) to theplane thus obtained.ORUsing vectors show that the points A(-2, 3, 5) B(7, 0-1) C(-3,-2,-5)and D(3, 4, 7) are such that AB and CD intersect at the point P(1, 2, 3)

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77615.

9the tins.0, Shikha bought ketomato 2 ke onion, kg grecilles and rest lemon. What frneskg green chill5Саractigthe total vegetables were the lemons?d 2 km hy scooter 7 km by car and

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77616.

9. If we multiply a fraction by itself and divide the product by its reciprocalthus obtained is 1826. What is the original fraction?27

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77617.

The sum of three fractions is2 . When thelargest fraction is divided by the smallestfraction, the fraction thus obtained is2476which ismore than the middle fraction. Thethree fractions are

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77618.

20. If the radius of the base of a right circular cylinderis halved, keeping the height same, then find theratio of the volume of the cylinder thus obtainedto the volume of original cylinder

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77619.

Two cubes each of volume 125 cm are joined end to end to form a solid.Find the surface area of the resulting cuboid.ICBSE 2013c]

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77620.

From Kozhikode to ThalasserySubodh is going to Kozhikode which is 24 kilometres (km) awayManjani is going to Thalassery which is 46 km away in theopposite direction.How far is Kozhikode from Thalassery?

Answer»

Distance between both the place=24+46=70km

77621.

An auditorium is of length 20 m, breadth 14 m and height 6 m.If a person requires 7 m' of airfind the number of persons that can be accommodated in the room.of air,5.5. An auditorium is of length 20 m, breadth 14 m and height 6 m. If a person requires 7 nmnd the edo

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77622.

A box has 390 bulbs out of which 26 are defective. Find the probability of closing a bulb which is not defective.

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Total bulbs = 390Defective bulbs = 26Non - defective bulbs = 390 - 26 = 364The probability of choosing correct bulb = 364/390 = 182/195

full answer

77623.

. In a match box containing 120 sticks, 15 match sticks were defective. Find the percentage of good matchsticks in the match box.

Answer»

(15/120)×100=12.5% are defective.therefore remaining 87.5 % are good match sticks.

77624.

specivelymand 10 m.o. A village, having a population of 4000, requires 150 litres of water per head per day. It.or how many days will the water of this tankhas a tank measuring 20 m x 15 m x 6 m. Flast?

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77625.

Find the equation of the plane through the line of intersection of the planes x + 1and 2x + 3y +4z 5 which is perpendicular to the plane x -y+ z 0. Then find thedistance of plane thus obtained from the point A(1, 3,6).

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77626.

50. Find the distance of the point (1, - 2,3)from the plane x-y + z = 5 measuredparallel to the line x-1 = 3 = z+2.3 6Delhi 2013C

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77627.

Find the number of rounds that a wheel of diameter 7/11 m will make in going 4 km.

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77628.

7.An elevator descends into a mine shaft at the rate of 6 m/min. If the descen7ke orach-350m.

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Considering the elevator to be at constant speed and the destination to be 350 m below ground level,

The elevator has to travel 10m till the ground, then 350 m more.

So, the total distance to travel is 360 m

If the elevator's speed is 6 metres/minute,Then

Time= Distance/Speed = 360/6 =60 minutes =1 hour

Thus the elevator would take 1 hour to reach its destination.

77629.

The number of rounds that a wheel of diameter 7/11 m will make in going 4 km is:

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77630.

If a job is to be completed in 10 days,it requires 270 persons. if 180 persons take up the same job,they will finish it ina) 27daysb) 12 daysc) 15 daysd) 18 days

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77631.

tion: Cognitive Abilitynd B together can do a piece of work in 18 days, B and C in 24 days, and A and C in 36 days. Thenumber of days all of them working together take to complete the work is:A. 151. A aB. 18D. 16t for 3 vears Find the amount after 3 years.

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on sipmlifying (-6/8×24/-3)+(7/35×45/5), we get 39/b find the value of b

77632.

Assume that each born child is equally likely to be a boy or a girl. If a family hastwo children, what is the conditional probability that both are girls given that(i) the youngest is a girl, (ii) at least one is a girl?

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77633.

23. 3 defective bulbs are mixed up with 7 good ones.3 bulbs are drawn at random. Find the probability distributionof the defective bulbs.

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77634.

In a box containing 80 bulbs, 15 werefound defectithe defective bulbs to good bulbs. -263vee ratioratio

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77635.

Two tailors, A and B, earn 300 and 400 per day sespertively A sti6 shirts and 4 pairs of trousers while B can stitch 10 shirts and d pairs sltrousers per day. How many days should each of then work if it is desited toproduce at least 60 shirts and 32 pairs of trousers at a nusimum labour cust?

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77636.

if its length and depth are respectivelyA village, having a population of 4000, requires 150 litres of water per head per day. Ithas a tank measuring 20 m x 15 m x 6 m. For how many days will the water of this tanklast?6.

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77637.

21. A man runs round a circular field of radius 50 m at a speed of 12 km/hr. What time is taken by theman to make twenty rounds of the field?(a) 30 min.(b) 32 min.(c) 34 min.(d) 31- min.

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77638.

9. A man runs round a circular field of radius 50 m at a speed of 12 km/hr. How much time is taken by theman to run twenty rounds of the field?(a) 30 min.3(b) 32 min.(c) 34 min.(d) 31 min.

Answer»

ans is (d) how

77639.

5. A does half as much work as B isthree-fourth of the time. If together theytake 18 days to complete the work, howmany days will B take to do it?(a) 40 days(c) 45 days(b) 30 days(d) of these

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Let's say B takes Xdays to finish 1 job, thenA will take 3/4(X) days to finish 0.5 job.

Now we know that

18(1/X + 0.5/0.75X) = 1

1/X + 50/75X = 1/18

1/X (1 + 10/15) = 1/18

X = 30

77640.

13. A, B and C together can completea piece of work in 30 minutes. A and Btogether can complete. the same work in50 minutes. C alone can complete thework in(A) 60 minutes (B) 75 minutes(C) 80 minutes D) 150 minutes

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77641.

Out of 6 boys and 4 girls, a committee of 5 is to be formed in how manyways can this be done if at least two girls are to be included in the committee.

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77642.

7. It is known that a box of 100 electric bulbs contains 8 defective bulbs. One bulb is takenout at random from the box. What is the probability that the bulb drawn is (1) defective?(11) non-defective?

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77643.

A man purchased a cow for Rs. 3000 and sold it thesame day for Rs. 3600, allowing the buyer a credit of 2years. If the rate of interest be 10% per annum, then theman has a gain of:

Answer»

700 total gain formula is si =P*R*T/💯

77644.

Two tailors, A and B, earm 300 and400 per day respectively. A can stitclh6 shirts and 4 pairs of trousers while B can stitch 10 shirts and 4 pairs oftrousers per day. How many days should each of them work if it is desired toproduce at least 60 shirts and 32 pairs of trousers at a minimum labour cost?

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77645.

20. The angle of depression from the top of a tower of apoint A02ground is 30°. On moving a distance of 20 metresA towards the foot of the tower to a point B, the angle of elevtop of the tower from the point B is 600. Find the height of thetoweits distance from the point A.theelevationdsom

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77646.

Four bells were set at intervals6 min, 15 min, 24 min and 30consecutively If all of them ranat 4 p.m, at what time will thering together again?A. 4 a.mB. 5 a.mC. 5.15 p.mD. 6 p.mmin

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answer is Option c 5.15 p.m will rang again the 🔔

77647.

Four bells were set at intervals of618.min, 15 min, 24 min and 30 minconsecutively, If all of them rangat 4 p.m, at what time will thering together again?A. 4 a.mB. 5 a.mC. 5.15 p.mD. 6 p.m

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Four bells set at intervals of 6 min, 15 min, 24 min and 30 min

All ball rang at 4 pmNow, Find lcm of 6, 15, 24, 30

LCM of 6, 15, 24, 30 = 120

That means all bell ring together after 120 min or 2 hrs.

So all bells ring together at 6 pm

77648.

Ex 9, To do a certain piece of work B would take three times as long as A and C together and C twice askingtogether. The three men by their united exertions can complete the work in 10 days. How longwuld ahimself?

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assume 100 units of work, so together they work 10 units/daylet A, B, C work a,b,c units /day(a+c) = 3b ....... (i)(a+b) = 2c ....... (ii)a+b+c = 10 ..... (iii)

solving the system , we geta = 25/6, b = 5/2, c = 10/3----------------------------------------A will take 100/(25/6) = 24 daysB will take 100/(5/2) = 40 daysC will take 100/(10/3) = 30 days

77649.

Kunal can painta house in 15 days and Hemant can do it in 10 days, How long would they take to paint the house if they work together?

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77650.

19. How many words (may be meaningless) can be formedby using the letters of the word COMMITTEE?

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