81279 + Interview Questions in Mathematics QA in Mathematics Page 1541 InterviewSolution

77001.	उदाहरण 5 श्रेणी 7 + 77 + 777 + ... के n पदों कायोग ज्ञात कीजिए।(NCERT)
Answer»

Discussion

77002.	25. Sum the series 7 .77+777 +... to n terms.
Answer» TO FIND: 7+77+777+7777+………n If the series has: 2 terms, the sum = 7(12) 3 terms, the sum = 7(123) 4 terms, the sum = 7 (1234) 5 terms, the sum = 7 (12345) ……………………. 9 terms, the sum = 7 (123456789)……Formula But for finding the sum , if series has more than 9 terms, we may use a different formula… = 7 + 77 + 777 + 7777 + ……… n = 7( 1 + 11 +111 + 1111 + ………. n/7 ) = 7(1 +11+111+1111+……..n/7) ( 9/9) = (7/9) ( 9 + 99 + 999 + 9999……9n/7 ) =(7/9){(10–1)+(100–1)+(1000–1)+(10000–1)+…….. +(10^n -1) } =(7/9)( (10+1010+1010²+1010^3+………..1010^(n-1) - (1* n) } =7/9 *[{ 10 (10^n —1)/9}— n ] …..Formula( using the sum to n terms of a G.P. series like my answer if you find it useful!

77002.

25. Sum the series 7 .77+777 +... to n terms.

Answer»

TO FIND: 7+77+777+7777+………n

If the series has:

2 terms, the sum = 7*(12)

3 terms, the sum = 7*(123)

4 terms, the sum = 7 *(1234)

5 terms, the sum = 7 *(12345)

…………………….

9 terms, the sum = 7 *(123456789)……Formula

But for finding the sum , if series has more than 9 terms, we may use a different formula…

= 7 + 77 + 777 + 7777 + ……… n

= 7( 1 + 11 +111 + 1111 + ………. n/7 )

= 7(1 +11+111+1111+……..n/7) * ( 9/9)

= (7/9) ( 9 + 99 + 999 + 9999……9n/7 )

=(7/9){(10–1)+(100–1)+(1000–1)+(10000–1)+…….. +(10^n -1) }

=(7/9)( (10+10*10+10*10²+10*10^3+………..10*10^(n-1) - (1* n) }

=7/9 *[{ 10 (10^n —1)/9}— n ] …..Formula( using the sum to n terms of a G.P. series

like my answer if you find it useful!

Discussion

77003.	32}isThe product of a number and3Find the number.4
Answer» 2/33/4=23/34=6/121/2 your answer is 6/12 in simplified way it's 1/2 a2/3=3/4a=3/43/2=9/8. 9/8 is the correct answer of this question Q1. 2/33/4=23/34=6/12=1/2 ans 𝟭/𝟮 𝐢𝐬 𝐭𝐡𝐞 𝐫𝐢𝐠𝐡𝐭

77003.

32}isThe product of a number and3Find the number.4

Answer»

2/3*3/4=2*3/3*4=6/121/2

your answer is 6/12 in simplified way it's 1/2

a*2/3=3/4a=3/4*3/2=9/8.

9/8 is the correct answer of this question

Q1. 2/3*3/4=2*3/3*4=6/12=1/2 ans

𝟭/𝟮 𝐢𝐬 𝐭𝐡𝐞 𝐫𝐢𝐠𝐡𝐭

Discussion

77004.	Q. 7. Write the truth values of the following statements :() 2 is a rational number and is an irrational number.(i) 2 + 3 = 5 or 3 + 3 =15(2)
Answer» I) is the correct answer

Discussion

77005.	n.1Find the total numbers of natural number 'n' for which 111 divides 16" - 1 where 'n' is less than 1000.D-2How marHow many Positive integers are there from 1 tn non
Answer» One mole of H2 O is made up of 2 moles of Hydrogen atoms and 1 mole of Oxygen atom. Mass of 1 mole of Hydrogen atoms= 1 g /molMass of 1mole of Oxygen atoms = 16 g/mol Mass of two moles of Hydrogen atoms = 2x 1 g/mol = 2 g/mol.Mass of one mole of Oxygen atoms = 1 x 16 g /mol Mass of one mole of water = 2 g/mol + 16 g/mol = 18 g/mol.

77005.

n.1Find the total numbers of natural number 'n' for which 111 divides 16" - 1 where 'n' is less than 1000.D-2How marHow many Positive integers are there from 1 tn non

Answer»

One mole of H2 O is made up of 2 moles of Hydrogen atoms and 1 mole of Oxygen atom.

Mass of 1 mole of Hydrogen atoms= 1 g /molMass of 1mole of Oxygen atoms = 16 g/mol

Mass of two moles of Hydrogen atoms = 2x 1 g/mol = 2 g/mol.Mass of one mole of Oxygen atoms = 1 x 16 g /mol

Mass of one mole of water = 2 g/mol + 16 g/mol = 18 g/mol.

Discussion

77006.	fi) Each question carries 1 Mark1. Give the coordinates of 3 points on a line parallel to X-axis andthen write itsgeneral form.
Answer» Let AB be a straight line parallel to x-axis at a distance b units from it. Then, clearly, all points on the line AB have the same ordinate b. Thus, AB can be considered as the locus of a point at a distance b from x-axis and all points on the line AB satisfy the condition y = b.

Discussion

77007.	6 If A Band C are interior angles of a AABCthen show that sin(B2C)-cos-ΔABC,then show that sin \|\|-cCOS_
Answer» this is the answer

Discussion

77008.	Fill in the boxes with the correct numcomes beforecomes after23comes beforecomes after5comes before
Answer»

Discussion

77009.	By selling a chair for30, a dealer makes a profit of 25%. Find what pricedid the dealer pay for it?
Answer»

Discussion

77010.	15 m30 m15 m15 mJaoyti's diagram Kavita's diagramThe finding its area Jyoti and Kavita dividedin two different waysFind the area of this park using both ways.Can you suggest some other way of findingits area?
Answer»

Discussion

77011.	Std.: B.Com. Part 1Sub. : Business Mathematicsthematics and SatisticsQ.3. A. The difference between the simple interest ancompound interest on a certain sum of money forat 6% p.a. is Rs. 1,154. What is the sum?m of money for 4 years10D
Answer»

Discussion

77012.	C) A man started saving money from the first week of January 2017. He saved25 in the first week, 40 in the second week, 55 in the third week and soon, till the last week of December 2017. Find the total saving of theman in the year 2017.
Answer»

Discussion

77013.	Find the value of (a) 2(0) 77-777ess each of the dullowa) 3f and 4
Answer» Kindly upload the image having proper details of the query.

Discussion

77014.	A dealer has paid ₹120 for a pair of shoes. He sold it to a customer at a loss of 20%. For how much did he sell it?(a) 86(b)96(c) 66(d) 56
Answer»

Discussion

77015.	28. of a number is less than the original number by 20. Find the number32
Answer»

Discussion

77016.	Let A fx :x is a natural number less than 10 and a multiple of 3), and B-112.345)db cooouy B-11,2,3,4,5)(Score: 1)(a)Write A in roster form(Score : 2(b)Write (1) 'HUB (ii) A-B
Answer»

Discussion

77017.	Answer any six from questions I to 7. Each question carries 3 scores(6 3 18)Letta:x is a natural number less than 10 and a multiple of 3), and B1.2,3,45)(Score : 1)(a)Write A in roster form(Score : 2)(b) Write(ii) A-B
Answer»

Discussion

77018.	I. 20I 125 is multiple of 57 /1s 79 multiple of 9?is 72 is multiple of 87Is 198 multiple of 97
Answer» yes (255)no yes (89)yes (9*22)

Discussion

77019.	and enacted theConsumer Protection Act 1986, also known as COPRAQ. 3. Explain the need for consumer consciousness by giving two examples.An There Ä°e need of.onsumer consc
Answer» Consumer consciousness is being aware of your right as a consumer while buying any goods or services. Example : 1. It is common to see consumers bargaining with sellers for additional discounts below the MRP. 2. Because of conscious consumers, most of the sweet shops do not include the weight of the container when they weigh sweets.

77019.

and enacted theConsumer Protection Act 1986, also known as COPRAQ. 3. Explain the need for consumer consciousness by giving two examples.An There Ä°e need of.onsumer consc

Answer»

Consumer consciousness is being aware of your right as a consumer while buying any goods or services. Example :

1. It is common to see consumers bargaining with sellers for additional discounts below the MRP.

2. Because of conscious consumers, most of the sweet shops do not include the weight of the container when they weigh sweets.

Discussion

77020.	2 A dealer comes from Mathura to Delhi to buy an article which costs 12% less in Delhi than in MathuraHis expenses are ( 240 and he makes a profit of t 300 on selling the article in Mathura. What did thearticle cost in Mathura, what is his profit percent?
Answer»

Discussion

77021.	cm, DB = 12 cm, AE = 0 cm and CL-) es. Dis the mid-point of side BC of a Î ABC, AD is bisected at the point E and BE producedin o ote a Ä°oht line meeting BC at P and DC produced atcuts AC at the point X. Prove that BE : EX= 3 : 1
Answer»

Discussion

77022.	XIL. Read the following passage and answer the questions that followKing Ashoka was a kind, wise and righteous ruler. He spent all his time for thinkinof the welfare of his subjects. He had a strong desire to make his subjects happy. His subjeccould meet him at any time and in any place. He had trees planted on either side of throads; he had wells dug by the road side; he had rest houses built for both men and animalHe was respected by everyoneQUESTIONS4x124. Pick out a sentence from the passage which shows Ashoka was liberalwith his subjects?sw did Ashoka usually spend his time ?2326kind of a ruler was Ashoka27. Writetwo works of Ashoka which he did for the welfare of his subjects?K- ENGLISH-I SEPT 201810 STD,
Answer» 24) His subject could meet him at any time and in any place.25) He spend all his time for thinking of the welfare of subject.26) He was a kind , wise and righteous ruler.27) He had wells dug by the road sides and rest houses built for both men and animals. thank you How did Kalil and his friends spend most of their time in their childhood she sad very because he was not go in a games period

77022.

XIL. Read the following passage and answer the questions that followKing Ashoka was a kind, wise and righteous ruler. He spent all his time for thinkinof the welfare of his subjects. He had a strong desire to make his subjects happy. His subjeccould meet him at any time and in any place. He had trees planted on either side of throads; he had wells dug by the road side; he had rest houses built for both men and animalHe was respected by everyoneQUESTIONS4x124. Pick out a sentence from the passage which shows Ashoka was liberalwith his subjects?sw did Ashoka usually spend his time ?2326kind of a ruler was Ashoka27. Writetwo works of Ashoka which he did for the welfare of his subjects?K- ENGLISH-I SEPT 201810 STD,

Answer»

24) His subject could meet him at any time and in any place.25) He spend all his time for thinking of the welfare of subject.26) He was a kind , wise and righteous ruler.27) He had wells dug by the road sides and rest houses built for both men and animals.

thank you

How did Kalil and his friends spend most of their time in their childhood

she sad very because he was not go in a games period

Discussion

77023.	EXERCISE 8.27. ABanABCD is a quadrilateral in which P. Q. R and S aremid-points of the sides AB, BC. CD and DA(see Fig 8.29). AC is a diagonal. Show that:1.0)(i)SRIACand SR =-AC8.7 SumIn this cl1. SuPQ-SHR(m) PORS is a parallelogram.
Answer»

Discussion

77024.	ess 1.0 in the form of (Com)
Answer» let x = 1.666..... (1)multiply 10 on both sides10x = 16.6666.... (2)now eq(2) - eq (1) gives9x = 15 x = 15/9 x = 5/3

Discussion

77025.	+1 ~5 X56eSS i2
Answer»

Discussion

77026.	f) to liaoecess -thay) r1 Lb) a multipleanumkta less than s.La)gua
Answer» a) probabilitya number less than 7 will be 1/62) probability of multiple of 101/23) a number less than 5 = 1/44) getting a perfect square 2/61/3

Discussion

77027.	A man sells an article at a gain of 5%. If hehad sold it at 63 less, he would have lost2%. Find out the cost price of the article.
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Discussion

77028.	A dealer gets 56 less if instead of selling a chair at a gain of 15%, it is sold at a gain of 89Find the cost price of the chair
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Discussion

77029.	5. The area of the triangle formed by the coordinate axes and a line is 6 square unitsand the length of the hypotenues is 5 units. Find the equation of the line.
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Discussion

77030.	200 05 - 48 03
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Discussion

77031.	10. A man sold a bicycle at 5% profit. If the costhad been 30% less and the selling price 63less, he would have made a profit of 30%.What was the cost price of the bicycle ?
Answer» Solution :- Let the cost price be Rs. 100. Gain = 5 % Selling price = 100 + 5 % of 100 S.P. = Rs. 105 If the C.P. had been 30 % less then, Supposed C.P. = Rs. 70 Gain = 30 % S.P. = 70 + 30 % of 70 = 70 + 21 New S.P. = Rs. 91 Difference between old S.P. and new S.P. = 105 - 91 = Rs. 14 If the difference is Rs. 14 then the C.P. = Rs. 100 If the difference is Rs. 1 then the C.P. = 100/14 If the difference is Rs. 63 then the C.P. will be = (10063)/14 Cost Price = Rs. 450 Hence, the cost price of the bicycle is Rs. 450 Answer. is the correct answer Plz accepted as best Let the c.p be $ 100gain=5%sp=100×5% of 100sp =$105if the C.P had been 30%less then supposed C.P =70gain =30%SP=70+30%of70new S.P=91deffrence between old SP and newSP=105-91=14then the CP is 14 if the difference is 14 then the CP=100 if the difference is 1 then the CP=100/4if the difference is 63 then the CP=(10063)/14hense,the cost price of bicycle=450 let the CP be Rs.100Gain = 5%S.p = 100+5%×100sp = Rs 105if the CP had been 30% less thencp supposed = 70gain =30%sp = 70+30%×70= 70+21sp = 91differences between these =105-91= 14

77031.

10. A man sold a bicycle at 5% profit. If the costhad been 30% less and the selling price 63less, he would have made a profit of 30%.What was the cost price of the bicycle ?

Answer»

Solution :-

Let the cost price be Rs. 100.

Gain = 5 %

Selling price = 100 + 5 % of 100

S.P. = Rs. 105

If the C.P. had been 30 % less then,

Supposed C.P. = Rs. 70

Gain = 30 %

S.P. = 70 + 30 % of 70

= 70 + 21

New S.P. = Rs. 91

Difference between old S.P. and new S.P. = 105 - 91

= Rs. 14

If the difference is Rs. 14 then the C.P. = Rs. 100

If the difference is Rs. 1 then the C.P. = 100/14

If the difference is Rs. 63 then the C.P. will be = (100*63)/14

Cost Price = Rs. 450

Hence, the cost price of the bicycle is Rs. 450

Answer.

is the correct answer Plz accepted as best

Let the c.p be $ 100gain=5%sp=100×5% of 100sp =$105if the C.P had been 30%less then

supposed C.P =70gain =30%SP=70+30%of70new S.P=91deffrence between old SP and newSP=105-91=14then the CP is 14 if the difference is 14 then the CP=100 if the difference is 1 then the CP=100/4if the difference is 63 then the CP=(100*63)/14hense,the cost price of bicycle=450

let the CP be Rs.100Gain = 5%S.p = 100+5%×100sp = Rs 105if the CP had been 30% less thencp supposed = 70gain =30%sp = 70+30%×70= 70+21sp = 91differences between these =105-91= 14

Discussion

77032.	10-A man sold a bicycle at 5% profit) If the costhad been 30% less and the selling price 63less, he would have made a profit of 30%.What was the cost price of the bicycle ?
Answer»

Discussion

77033.	EXAMPLE 10 A straight line L is perpendicular to the line5x -y 1. The area of the triangle formthe line L and the coordinate axes is 5 square units. Find the equation of the lineL
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Discussion

77034.	10.) A shopkeeper buys a number of books for &80. If he had bought 4 morebooks for the same amount, each book would have cost 1 less. Howmany books did he buy?
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Discussion

77035.	16. A shopkeeper buys a number of packets of biscuits for 80. If he had bought 4 more1 less. How many packetspackets for the same amount, each packet would have costdid he buy ?
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Discussion

77036.	pol Rathnalide the following and findutol anal b.atbJBD.1216-55B5 -256
Answer» 2root(6) - root(5)/3root(5) - 2root(6) = (2root(6) - root(5))(3root(5) + 2root(6))/(3root(5) - 2root(6))(3root(5) + 2root(6)) = (6root(30) + 46 - 35 - 2root(30))/(95 - 46) = (9 + 4root(30))/(45 - 24) = 9/21 + 4root(30)/21 = 3/7 + 4root(30)/21 On comparing with a + broot(30) a = 3/7, b = 4/21

77036.

pol Rathnalide the following and findutol anal b.atbJBD.1216-55B5 -256

Answer»

2root(6) - root(5)/3root(5) - 2root(6)

= (2root(6) - root(5))(3root(5) + 2root(6))/(3root(5) - 2root(6))(3root(5) + 2root(6))

= (6root(30) + 4*6 - 3*5 - 2root(30))/(9*5 - 4*6)

= (9 + 4root(30))/(45 - 24)

= 9/21 + 4root(30)/21

= 3/7 + 4root(30)/21

On comparing with a + broot(30)

a = 3/7, b = 4/21

Discussion

77037.	I56 0297SIS6909127768Y RECORD 1ANALtalentSearchwhat do you mean by
Answer» The Talent Search program identifies and assists individuals from disadvantaged backgrounds who have the potential to succeed in higher education. The program provides academic, career, and financial counseling to its participants and encourages them to graduate from high school and continue on to and complete their post secondary education.

Discussion

77038.	\begin { equation } \begin{array}{ll}{\text { (a) } 35-(20)} & {\text { (b) } 72-(90)} \\ {\text { (c) }(-15)-(-18)} & {\text { (d) }(-20)-(13)} \\ {\text { (e) } 23-(-12)} & {\text { (f) }(-32)-(-40}\end{array} \end { equation }
Answer» a)35-20=15b)72-90=-18c)-15-(-18)=3d)-20-13=-33e)23-(-12)=23+12=35f)-32-(-40)=-32+40=8

Discussion

77039.	14. In the figure, Δ4BC is right angled at C. DE丄AB. If BC2 cm, then prove that ΔABC ~ AADE. Also, find AE and DE.12 cm, AD = 3 cm, andDC
Answer»

Discussion

77040.	EXERCISEbetween the compound interest and the simple interest on a certain sum for 2 years atl The dilerenceum is 60. Find the sumper ann←ited certain amount in a finance company or 3 years at 10% per annum simple interest andt interest for the same period in another finance
Answer»

Discussion

77041.	In the given figure, llg and O is the mid-point ofmid-point of2. MN.lfar(AAON) = x ar(ALMN), then find thevalue of x.
Answer»

Discussion

77042.	EXERCISE 8.2A man got a 10% increase in his salary. If his new salary is 1,54,000, findoriginal salaryOn Sunday 845 people went to the Zoo. On Monday only 169 people went.vis the per cent decrease in the people visiting the Zoo on Monday?A shopkeeper buys 80 articles for 2,400 and sells them for a profit of16%. Find the selling price of one article.The cost of an article was ? 15,500. t450 were spent on its repairs. If it issold fora profit of 15%, find the selling price of the article.A VCR and TV were bought for ? 8,000 each. The shopkeeper made aloss of4% on the VCR and a profit of 8% on thTV. Find the gain or losspercent on the whole transaction.
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Discussion

77043.	2. Find nifCncde
Answer»

Discussion

77044.	converse mid point theorom
Answer» It states that in a triangle line drawn from the mid-point of the one side of triangle, parallel to the other side intersect the third side at its mid-point.

Discussion

77045.	halaxmi took a loan of18000 from Surya Finance to purchase a TV set. If theopulatio2company charges compound interest at 12% per annum during the first year and 12 %per annum during the second year, how much will she have to pay after 2 years?
Answer»

Discussion

77046.	2club has 240 members. 60 of them like to swimon Saturday evenings, 120 on Sunday mornings and 60 onSunday evenings. Make a pie chart to show this.
Answer»

Discussion

77047.	Mohan Lal purchased an old scooter for 12000 and spent? 2850 on its overhauling. Then, he sold it to hisfriend Sohanbir forて13860, How much percent did he gain or loss?
Answer»

Discussion

77048.	A swimming club has 240 members. 60 of them like to swimon Saturday evenings, 120 on Sunday mornings and 60 onSunday evenings. Make a pie chart to show this.
Answer»

Discussion

77049.	ains 15% by selling his goods forsprice of the watch. 128050. He decides to make a profit of only 101 What isthe new selling price?ins 5% by selling his old scooter for 6720 Eind
Answer» thanks for guidance

Discussion

77050.	At the beginning of a month, a factóry has enough materials to make 240 tonnes of steelin a month. If 60 more tonnes of steel is to be made that month, how longmaterials last?will the
Answer»

Discussion

Explore topic-wise InterviewSolutions in .

उदाहरण 5 श्रेणी 7 + 77 + 777 + ... के n पदों कायोग ज्ञात कीजिए।(NCERT)

25. Sum the series 7 .77+777 +... to n terms.

32}isThe product of a number and3Find the number.4

Q. 7. Write the truth values of the following statements :() 2 is a rational number and is an irrational number.(i) 2 + 3 = 5 or 3 + 3 =15(2)

n.1Find the total numbers of natural number 'n' for which 111 divides 16" - 1 where 'n' is less than 1000.D-2How marHow many Positive integers are there from 1 tn non

fi) Each question carries 1 Mark1. Give the coordinates of 3 points on a line parallel to X-axis andthen write itsgeneral form.

6 If A Band C are interior angles of a AABCthen show that sin(B2C)-cos-ΔABC,then show that sin ||-cCOS_

Fill in the boxes with the correct numcomes beforecomes after23comes beforecomes after5comes before

By selling a chair for30, a dealer makes a profit of 25%. Find what pricedid the dealer pay for it?

15 m30 m15 m15 mJaoyti's diagram Kavita's diagramThe finding its area Jyoti and Kavita dividedin two different waysFind the area of this park using both ways.Can you suggest some other way of findingits area?

Std.: B.Com. Part 1Sub. : Business Mathematicsthematics and SatisticsQ.3. A. The difference between the simple interest ancompound interest on a certain sum of money forat 6% p.a. is Rs. 1,154. What is the sum?m of money for 4 years10D

C) A man started saving money from the first week of January 2017. He saved25 in the first week, 40 in the second week, 55 in the third week and soon, till the last week of December 2017. Find the total saving of theman in the year 2017.

Find the value of (a) 2(0) 77-777ess each of the dullowa) 3f and 4

A dealer has paid ₹120 for a pair of shoes. He sold it to a customer at a loss of 20%. For how much did he sell it?(a) 86(b)96(c) 66(d) 56

28. of a number is less than the original number by 20. Find the number32

Let A fx :x is a natural number less than 10 and a multiple of 3), and B-112.345)db cooouy B-11,2,3,4,5)(Score: 1)(a)Write A in roster form(Score : 2(b)Write (1) 'HUB (ii) A-B

Answer any six from questions I to 7. Each question carries 3 scores(6 3 18)Letta:x is a natural number less than 10 and a multiple of 3), and B1.2,3,45)(Score : 1)(a)Write A in roster form(Score : 2)(b) Write(ii) A-B

I. 20I 125 is multiple of 57 /1s 79 multiple of 9?is 72 is multiple of 87Is 198 multiple of 97

and enacted theConsumer Protection Act 1986, also known as COPRAQ. 3. Explain the need for consumer consciousness by giving two examples.An There Ä°e need of.onsumer consc

2 A dealer comes from Mathura to Delhi to buy an article which costs 12% less in Delhi than in MathuraHis expenses are ( 240 and he makes a profit of t 300 on selling the article in Mathura. What did thearticle cost in Mathura, what is his profit percent?

cm, DB = 12 cm, AE = 0 cm and CL-) es. Dis the mid-point of side BC of a Î ABC, AD is bisected at the point E and BE producedin o ote a Ä°oht line meeting BC at P and DC produced atcuts AC at the point X. Prove that BE : EX= 3 : 1

EXERCISE 8.27. ABanABCD is a quadrilateral in which P. Q. R and S aremid-points of the sides AB, BC. CD and DA(see Fig 8.29). AC is a diagonal. Show that:1.0)(i)SRIACand SR =-AC8.7 SumIn this cl1. SuPQ-SHR(m) PORS is a parallelogram.

ess 1.0 in the form of (Com)

+1 ~5 X56eSS i2

f) to liaoecess -thay) r1 Lb) a multipleanumkta less than s.La)gua

A man sells an article at a gain of 5%. If hehad sold it at 63 less, he would have lost2%. Find out the cost price of the article.

A dealer gets 56 less if instead of selling a chair at a gain of 15%, it is sold at a gain of 89Find the cost price of the chair

5. The area of the triangle formed by the coordinate axes and a line is 6 square unitsand the length of the hypotenues is 5 units. Find the equation of the line.

200 05 - 48 03

10. A man sold a bicycle at 5% profit. If the costhad been 30% less and the selling price 63less, he would have made a profit of 30%.What was the cost price of the bicycle ?

10-A man sold a bicycle at 5% profit) If the costhad been 30% less and the selling price 63less, he would have made a profit of 30%.What was the cost price of the bicycle ?

EXAMPLE 10 A straight line L is perpendicular to the line5x -y 1. The area of the triangle formthe line L and the coordinate axes is 5 square units. Find the equation of the lineL

10.) A shopkeeper buys a number of books for &amp;80. If he had bought 4 morebooks for the same amount, each book would have cost 1 less. Howmany books did he buy?

16. A shopkeeper buys a number of packets of biscuits for 80. If he had bought 4 more1 less. How many packetspackets for the same amount, each packet would have costdid he buy ?

pol Rathnalide the following and findutol anal b.atbJBD.1216-55B5 -256

I56 0297SIS6909127768Y RECORD 1ANALtalentSearchwhat do you mean by

\begin { equation } \begin{array}{ll}{\text { (a) } 35-(20)} &amp; {\text { (b) } 72-(90)} \\ {\text { (c) }(-15)-(-18)} &amp; {\text { (d) }(-20)-(13)} \\ {\text { (e) } 23-(-12)} &amp; {\text { (f) }(-32)-(-40}\end{array} \end { equation }

14. In the figure, Δ4BC is right angled at C. DE丄AB. If BC2 cm, then prove that ΔABC ~ AADE. Also, find AE and DE.12 cm, AD = 3 cm, andDC

EXERCISEbetween the compound interest and the simple interest on a certain sum for 2 years atl The dilerenceum is 60. Find the sumper ann←ited certain amount in a finance company or 3 years at 10% per annum simple interest andt interest for the same period in another finance

In the given figure, llg and O is the mid-point ofmid-point of2. MN.lfar(AAON) = x ar(ALMN), then find thevalue of x.

2. Find nifCncde

converse mid point theorom

halaxmi took a loan of18000 from Surya Finance to purchase a TV set. If theopulatio2company charges compound interest at 12% per annum during the first year and 12 %per annum during the second year, how much will she have to pay after 2 years?

2club has 240 members. 60 of them like to swimon Saturday evenings, 120 on Sunday mornings and 60 onSunday evenings. Make a pie chart to show this.

Mohan Lal purchased an old scooter for 12000 and spent? 2850 on its overhauling. Then, he sold it to hisfriend Sohanbir forて13860, How much percent did he gain or loss?

A swimming club has 240 members. 60 of them like to swimon Saturday evenings, 120 on Sunday mornings and 60 onSunday evenings. Make a pie chart to show this.

ains 15% by selling his goods forsprice of the watch. 128050. He decides to make a profit of only 101 What isthe new selling price?ins 5% by selling his old scooter for 6720 Eind

At the beginning of a month, a factóry has enough materials to make 240 tonnes of steelin a month. If 60 more tonnes of steel is to be made that month, how longmaterials last?will the

cm, DB = 12 cm, AE = 0 cm and CL-) es. Dis the mid-point of side BC of a Î ABC, AD is bisected at the point E and BE producedin o ote a Ä°oht line meeting BC at P and DC produced atcuts AC at the point X. Prove that BE : EX= 3 : 1

10.) A shopkeeper buys a number of books for &80. If he had bought 4 morebooks for the same amount, each book would have cost 1 less. Howmany books did he buy?

\begin { equation } \begin{array}{ll}{\text { (a) } 35-(20)} & {\text { (b) } 72-(90)} \\ {\text { (c) }(-15)-(-18)} & {\text { (d) }(-20)-(13)} \\ {\text { (e) } 23-(-12)} & {\text { (f) }(-32)-(-40}\end{array} \end { equation }