10 June Maths I

MATHS Dr. T.K. Jain. AFTERSCHOOOL M: 9414430763 [email protected] www.afterschool.tk www.afterschoool.tk

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A can do a piece of work in 20 days. He worked for 2 days. Then B complted remaining work in 9 days. How much time will be taken by B in completing the entire work alone?

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A’s one day’s work = 1/20 2 days’ work = 2/20 =1/10 Remaining work = 9/10 B’s one day’s work = 9/10 *1/9 =1/10 Thus B will be able to complete the work in 10 days.

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Put these in ascending order? 3/8, 7/16, 5/12 1/6 • 3/8 is equal to 6/16 therefore it is smaller to 7/16. • 1/6 is equal to 2/12, therefore it is saller to 5/12. • LCM of 16 & 12 is 48, multiply it to all the numbers, • We get 18, 21, 20, 8, • The ascending order: 1/6, 3/8, 5/12, 7/16 ans.

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A:B 2:3, B:C = 5:9 A:B:C? 2:3, • A:B B:C = 5:9 • • the ratio (using multiplyin approach). • 10:15:27. ans.

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Price of Petrol 30%, how much should consumtpion be reduced to keep the budget the same? • • • •

Increase in consumption 100 to 130 Reduce it from 130 to 100 Means 30 on 130 30/130 *100 = 23.1% approx. ans.

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2/5th of a property is worth 10000. what is the worth of 7/10th of that property? 2/5 is eqaul to 4/10 We have to get 7 against 4. 7/4*10000 = 17500 ans. Total value of property = 5/2*10000 = 25000 • 7/10th is 1/10 *25000 = 17500 • • • •

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A business person has 20% margin, he gives 10% discount. What is his net profit in %?

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100 + 20 = 120 Discounting 10% 120 – 12 = 108 Gain is 8 %ans

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65% students pass in English, 56% pass in Maths. 25% failed in both the papers. What % passed in both?

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100-25 = 75 65+56 – X = 75 -X=75-121 X= 46% 46 % passed in both the papers.

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In how many ways can 36 be written as a product of two natural numbers? • • • •

Factors: 1,2,3,4,6,9,12,18,36 1*36; 2*18, 3*12, 4*9,6&6 Thus there are 5 ways.

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In how many ways can 36 be written as a product of two integers? • 10 possibilities • (5 + 5) (negative numbers are also included).

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The value of a number is 5 times the sum of its digits. Which is the number: 36,27,45,18

• 45 ans.

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Afterschooolian Raju spends ¼ of working time in reading, 2/3rd of remainign time on TV. Suppose he spends 4 hours on TV. What is his working time?

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Remaining time ¾ 2/3 of ¾ = 6/12 Thus he spends ½ time on TV, Total working time with him = 8 hours. www.afterschoool.tk

How many numbers are there between 200 &300which have only one 5? • There are 9 as 205, 215, 225 and so on (don’t take 255). • 250,251,252,253,254,256,257,258,2 59 • Total = 18 ans.

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Divide 417 among ABCD,, A gets 13>B, B gets 9 >C, and c should get 6> D. What the shares of A,B,C,D? • • • • • • • •

Let us assume that D get X. C gets X +6 B gets X+ 15 A Gets X + 28 X+X+6+X+15+X+28 = 417 4X=417-49 X = 368/4 = 92 A = 120, B =107, C = 98, D = 92 Ans.

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Afterschooolian Rajesh takes a loan of Rs. 2 Crore and gave them as micro credit (micro finance) @5% and gives loan to poor people at 4% for 6 years. He pays at simple interest and charges compound interest. What is his loss in %?

Let us do calculation on 100 Rs. Simple interest for 3 years = 30. Compound interest for 3 years is : 1.04*1.04*1.04*1.04*1.04*1.04 – 1 = .265319 • The % loss is .035% in six years or approximately .006% per annum. • • • •

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A train @ 72 km p/h. it takes 7 seconds to cross a tree. What is the length of the train?

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Convert speed into meters/ second 72*5/18 =20 meters / s Speed covered in 7 seconds = 7*20 = 140 meters. Length of train is 140 meters.

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