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101.

2. A plane flies 405 km on 90 litres of fuel.(6) How much fuel is needed for 540 km? ii) How far can it go in 50 litres?

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102.

20.Thesumofthelength,breadth and depth of a cuboid is 19 cm and its diagonal is55 cm. Its surface area is(a) 361 cm (b) 125 cm2 (c) 236 cm2(d) 486 cm2

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103.

25. The length of a rectangle is 5 cm less than twice its breadth. If the length is decreasedby 3cm and breadth increased by 2 cm, the perimeter of the resulting rectangle is72 cm. Find the area of the original rectangle.

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for original rectangle breadth is xand length is 2x-5now for new rectangle length=2x-8and breadth x+2perimeter is 72so 2x-8+x+2=363x=42so x=14area original rectangle=14*23=322 cm^2

104.

2.The length of a rectangle is twice its breadth. If the perimeter is 72 cm, then find thelength and the breadth.

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give me answers

Let the breadth be a

Then length = 2(a) = 2a.

We know that, Perimeter of rectangle = 2( length + breadth) .

Given perimeter = 72 m

72m =2( a+2a)

36=3a

a =12

Hence, Length is 2(12) = 24 m

Breadth is a =12 m

105.

25. The length of a rectangle is 5 cm less than twice its breadth. If the length is decreaseddth increased by 2 cm, the perimeter of the resulting rectangle isby 3cm and brea72 cm. Find the area of the original rectangle.

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the area is 323cm

106.

turisasem and (b) 200 cmo. A rectangle has an area equal to that of a square of side 35 em. If the breadth of the rectangle is25 cm. tnits length.

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Area of square = 35*35Area of rectangle = 25*l=> 35*35= 25*l=> l = 49cm.

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107.

83. Length of a rectangle is 12 cm more than itsbreadth and it has a perimeter of 200 cm. What willbe diameter of a circle whose area matches thearea of this rectangle?

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perimeter=2( l+b); 200=2(l+b); 200=2(12+2b); 200=24 + 4b; 200-24=4b; 176=4b; b=176/4=44

let breath = x cmlength = x+122(length+ breath)=perimeter2(x+12+x)=2002x+12= 1002x= 100-12=88x= 88/2= 44.so breath = 44.cmlength = 44+12=56cmarea of rectangle= length×breath= 44×56= area of circle let radius of circle =rπr^2= 44×5622/7×r^2= 44×56r^2= 44×56×7/22 = 2×56×7r= √2×56×7 =√2×2×2×2×7×7 = 2×2×7= 28cmdiameter = 2r= 2×28=56cm

108.

3149. O PORS is a rectangle having length 15 cm and Pbreadth 10 cm. A semicircle with diameter 7 cm iscut as shown in the figure. What is the perimeter ofA given amount wilmany days will theD231) 23 days3) 27 days

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109.

Value Based QuestionHow do you help your elders at home in your daily life?

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Make preparations for medical care

Managing the finances

Organizing their medication

Providing healthy and safe surroundings

Arranging for adequate social interaction

Making provision for care when you are away

Consider their financial and emotional problems, besides how you deal with them at home, which can save you a lot of last-minute trouble – if the need arises.

110.

13.The median of the distribution given below is 14.4. Find the values of x and y, if the sum of frequency is 20.Class Interval0-6 6-12 12-18 18-24 24-30Frequency4 x T5 Tv In

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4+5+1+x=10+X; 10+x/20=14.4; 10+x=20 x 14.4=288; x=288/10=28.8

111.

(i) The price of 100 pens is 5003 and price of 50 pencils isprice of 3 pens and 5 pencils, is100IN

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Price of 100 pens = 2503/5Price of 1 pen =2503/500

Price of 50 pencils = 501/5Price of 1 pencil = 501/250

Therefore,Price of 3 Pens = 2503*3/500= Rs 15.018

Price of 5 Pencils = 501*5/250= 501/50 = Rs 10.02

112.

1. Obtain the mean of the following distribution:1012Variable (x)414Frequency (f) 4

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Mean = (4×4+6×8+8×14+10×11+12×3)/(4+8+14+11+3) = (16+48+112+110+36)/(40) = 322/40 = 8.05

113.

1. Obtain the mean of the following distribution:410Variable (x)Frequency (f)12414

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114.

What is the largest number of boys among whom 108 pencils and 180 rubbers can be equally divided and what will be each boys shar

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The largest number of boys will be 36

Each boy will get

pencil - 3

rubber- 5

115.

55. In an examination out of 480 students, 85%of the girls and 70% of the boys passed. How manyboys appeared in the examination, if total passpercentage was 75%?(A) 370(B) 340(C) 320(D) 360

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116.

What is the greatest integer among thefollowing by which the number 55+ 75 isdivisible ?(b)(c)(d)81112

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117.

The ratio of the number of boys and girls in aschool is 3 : 2, If 20% of the boys and 30% of the1.34ls are scholarship holders, the percentage of thegirstudents who are not scholarship holders, is(a) 50%(c) 75%(b) 72%(d) 76%

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Let number of boys = 3xNumber of girls = 2x

Number of scholarship holder boys =( 20/100)3x = 3x/5

Number of scholarship holder girls = (30/100)2x = 3x/5

Then,Percentage of students who are not scholarship holder=[ (5x - 6x/5)/5x]*100= (19/25)*100= 19*4 = 76%

(d) is correct option

118.

A shopkeeper earns a profit of 1 by sellingone pen and incurs a loss of 40 paise per pencilwhile selling pencils of her old stock.(1) In a particular month she incurs a loss of5. In this period, she sold 45 pens. Howmany pencils did she sell in this period?(i) In the next month she earns neither profitnor loss. If she sold 70 pens, how manypencils did she sell?

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1)45pens=₹45loss by 1 pencil=40 paiseloss of 5 rs =40/5=8pencils

119.

per litreGarima sold 85 litre of milk at 586.50 gaining thereby 40 paise per litre. How much would she have gainedpelitre, if she had sold them for 600.10If 24 metre of cinth i h

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Selling price of milk/litre = 586.50/85 = 6.9rs

total gain is = 0.40*85 = 34rs

so, cost price is = S.P - gain = 586.50-34 = 552.50rs

now , if the total selling price is 600.10rs

so, total gain would be = 600.10-552.50=47.6rs

so, gain/litre = 47.6/85 = 0.56rs = 56paise/litre

120.

paise per cm2 In a cricket match, a batsman hits a boundary 8 times out of 40 balls he plays. Find the probability thathe didn't hit a boundary

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total number of balls played=40no of boundaries=8no of no boundaries=40-8=32henceprobability =32/40=4/5

121.

45 angle 45° angle banana

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STEPS OF CONSTRUCTION:-

1)Draw a ray OA .

2)With O as centre and any suitable radius draw an arc cutting OA at B .

3)With B as centre and same radius cut the previous drawn. arc at C and then with C as centre and radius cut the arc at D.

4(With C as centre and radius more than half Cd draw an arc .

5)With D as centre and same radius draw another arc to cut the previous arc at E.

6=)Join OE ,then angle AOE ==90°.

7))Draw the bisector OF of Angle AOE ,then Angle AOF =45°.

Justify......

By construction.Angle AOE ==90° and OF is the bisector of Angle AoE

So, Angle =1/2/_AOE =1/2×90°==45°

thanks

122.

2. Rita has24. A pencil costs 25 paise. How manypencils can Rita buy?

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1 rs=100 paisaso total pencils=total price/cost of 1 pencil =2400/25=96

24÷100×25 .......... ......

123.

PUL OL 40%.A woman bought 150 dozen eggs at 16.40 ad150 dozen eggs at * 16.40 a dozen. Out of these 80 eggs were found to bebroken. She sold the remaining eggs at 95 paise per egg. Find her gain or loss pe

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110.776% loss is the correct answer

110.776% is the best answer

124.

Ul Le PaulCu eIL U11 U Huy. I mu uc2. A rectangular plot of land measures 95 m by 72 m. Inside the plot, a path of uniform widthof 3.5 m is to be constructed all around. The rest of the plot is to be laid with grass. Find thetotal expepses involved in constructing the path at * 80 per m' and laying the grass at 40per m2

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Area of plot = A= 95x72=7125Area of Grass laid down =G G = (95-7)x(72-7) G =5720Area of path constructed, P = A-G P= 7125-5720 P= 1405

* Expense for constructing the path, E1= 80 x P = 80x1405 E1= 112400 rupees * Expense for laying the grass, E2 = 40 x G = 40 x 5720 E2 = 228800 rupees

125.

10. A shopkeeper gains 2 on each pen and loses 50 paise on each pencil. He sells 60 pens100 pencils. How much has he gained or lost?

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he gains 120 rupees in pen and lost 50 rupees in pencils

shopkeeper gain 70 rupees

120 rupees pen and lost 50 ru in pencils

Gain = 120 Loss= 50

126.

In figure, PQ is a tangent at a point C tocircle with centre O. If AB is a diameter and<CAB = 30°, then find PCA.30°

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Hit like if you find it useful

127.

6. Cost of 2 dozen bananas is3 - Find the cost of1 banana

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Cost of 2 dozen (24) bananas = 24/7

so, cost of 1 banana = 24/7 ÷24

24/7 × 1/24 = 1/7.

cost of two bananas= 24/7cost of 1 banana= 12/7hence cost of 1 banana is 12/7

128.

6. Cost of 2 dozen bananas is3. Find the cost of1 banana

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cost of 2 bananas= 24/7cost of 1 banana= 12/7

cost of 24 bananas=24/7cost of 1 banana= 1/7

cost of 2 dozwn banana= 24/7cost of 1 banana = 2/7

129.

45 degree ka angle angle banana

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Constructa perpendicular line.

Place compass on intersection point.

Adjust compass width to reach start point.

Drawan arc that intersects perpendicular line.

Place ruler on start point and where arc intersects perpendicular line.

Draw 45 DegreeLine.

130.

What wouid6. in a class test (+3) marks are given for every correct answer and C2) markare given for every incorrect answer and no marks for not attempting anyquestion. (i) Radhika scored 20 marks. If she has got 12 correct answers, howmany questions has she attempted incorrectly? (ii) Mohini scores-5 marks in thistest, though she has got 7 correct answers. How many questions has sheattempted incorrectly?(c

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radhika scored 36marks.final score of radhika is 20.she got 16 marks negative.therefore she made8incorrect answer.

2)mohini scored 21marks.final score of radhika is -5.she got 26 marks negative.therefore she made13incorrect answer.

131.

6. In a competition, the question paper consists of 20 questions. 5 marks are awarded forevery correct answer and 2 marks are deducted for every incorrect answer and 0 marksfor every question not attempted. Vishal attempted 17 questions and got 11 correctanswers. What is his score?

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11*5 - 6*2 = 55-12

= 43 marks

132.

Fill in the blanksA. 40% of 4 kg -- _ gB. 2.35-C. 0.78-D. Ritu solved a crossword puzzle and got 17 out9.of 20 answers correct. She solved -the puzzle correctly% of

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A) 40×4/100=1.6kg=1600gB) 2.35=235%C) 0.78=78%D) 17/20×100=85%

133.

In an examination, (+5) marks is given for every correct answer and (-1) mark is deductedfor every incorrect answer. Find the total marks, if Rashima attempts 20 questions, inwhich 18 are incorrect and 2 are correct.14.

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Marks for correct answer= 5Marks for incorrect answer=-1Number of correct answers=2Number of incorrect answers=18so total marks = 18(-2)+2(5) = -36+10 = -26. ( answer)

134.

26. In a class test containing 15 questions, 4 marks are given for every correct answerand -2 marks are given for every incorrect answer.Rahul attempts all questions but only 10 of his answers are correct. What is his totalscore?

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Total questions are 15Rahul attempts 15 questionsCorrect answers are 10incorrect answers are 5marks for correct answers =10*4=40marks for incorrect answers=5*(-2)=(-10)Total marks=40+(-10)=40-10=30

135.

i have 2 banana and i lost 1 banana how many banana i have

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by basic subtraction2 banana-1 banana=1 banana so 1 banana you have left

136.

1dorzen banana cost10.8.find the 1banana cost

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Cost of 1 banana=10.8/12=90 paise

137.

सेक करी sinx. +688विष्ठ मान-

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138.

The perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm. Find its area?

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139.

c: tWhat is a dicot seed? Draw a sketch of embryo of seed of a pca plan: and laici

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Ans :- Seeds such as beans ,grams, etc. are called dicotyledon seed. When opened,these seeds show two thick parts or seed leaves called cotyledons. In the external part of seeds,one sees the protective layer called test or seed coat while the inner concave side of seed, a scar called hilum is seen where the seed was attached to fruit wall. A pore called mycropyle is present above hilum which absorbs water required for germination. Cotyledons contains stored food required by seedlings for growth.

140.

The weight of 3 bags of rice is kg.(a) Find the weight of 15 bags of rice.(b) How many bags will weigh 322 kg?

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141.

I call pieceis 49 kg. How much does8 boxes of nails weigh equally and their total weight is 49kg. How much doox weigh?

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142.

) 4 balls weigh 8.24 kg. Find the weigh of one ball.

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4 balls = 8.24 kg

1 ball = 8.24/4 = 2.06 kg

143.

EXERCISE 13A1. Name three examples of angles from your daily life.

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144.

Do THISWrite three examples for finite AP and three for infinite AP

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The AP is given by a,(a+d),(a+2d),(a+3d)

Where, a is first term and d is common difference.

Finite AP Example,

i) 1,3,5,7 with a =1 and d=2

ii)2,4,6,8 with a=2 and d=2

iii) 7,13,19,25 with a=7 and d=6

Infinite AP example

i) 1,3,5,7,................(set of odd numbers) with a =1 and d=2

ii)2,4,6,8,................(set of even numbers) with a=2 and d=2

iii) 7,13,19,25,.................. with a=7 and d=6

145.

A plane flies 405 km in 90 litre of fuel. How much fuel is needed for 540 km ?

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146.

9.An aeroplane flies 500 km in the same time that a train takes to travel 600 km. If the airoplaneflies 50 km an hour more than five times the speed of the train What are the speeds of the trainand the aeroplane?

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147.

endspresentMishra'svtutulgroupof6children.friwereatHow manyroplanc flies 4235 km in 5 hours 30 minutes. How long will it take to fly a distance of 2310 km?party if 15 bottles of coke were used?12. An aeroplanc flies 4232 4 car travels 59.5 km in 3.5 litres of netrol

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148.

Find the simple interest on Rs 2,500 for 4 years at 6% per annum.

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I=PRN/100=2500*4*6/100=600

no its wrong it is rupees 625

149.

3 x + 4 y = 13 \text { and } x y = 1 , \text { find } 3 x - 4 y

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150.

\begin{array}{l}{\text { If } 5 x-13 y=3 x-8 y, \text { find the value of } \frac{x^{2}+y^{2}}{x^{2}-y^{2}}} \\ {\text { ution: }}\end{array}:

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