Higher Level Difficulty in Numbers

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Wednesday, 23 December 2015
Higher Level Difficulty in Numbers
>>CLICK HERE TO DOWNLOAD PDF FILE of NUMBERS..In my last post, we have discussed simple problems based on Numbers but when difficulty factor goes on increasing, it becomes difficult to crack the puzzle. Let see how to solve difficult part in Numbers Problem1: The ratio of two numbers is 3:2. If 10 and the sum of two numbers are added to the product. Square of sixteen is obtained. What could be the smaller number?Solution:Step1: Let the two numbers are 3x and 2xStep2: If 10 and the sum of two numbers are added to the product. 10 + (3x + 2x) + (3x * 2x) = (16)2 Step3: Solve the equation6x2 + 5x- 246 = 0 6×2 + 41x – 36x – 246 = 0 (6x + 41) (x-6) = 0 X = 6 or -41/6Step4: Negative number cannot be accepted. So, take x=6 Step5: Smaller Number is 2x = 2 x 6 =12 Problem2: The positive number when decreased by 4 is equal to 21 times the reciprocal of the number. The number is ?Solution:Step1: Let the number be XStep2: The positive number when decreased by 4 is equal to 21 times the reciprocal of the number.X-4 = 21/X X2- 4x -21 = 0 X2 – 7x + 3x -21 = 0 X (X-7) + 3 (X-7) = 0 (X-7) (X+3) = 0 X = 7 Step3: Neglecting -3, The number is X=7Problem3: A certain number of two digits is three times the sum of the its digits and if 45 be added to it, the digits are reversed. The number is?Solution:Step1: Let the unit digit of the number = X and ten’s digit = YStep2: A number of two digit is three times the sum of its digit 3 (X + Y) = 10y + X 2X – 7Y = 0 [Equation 1] Step3: If 45 be added to it, the digits are reversed10Y + X + 45 = 10X + Y 9X – 9Y = 45 X – Y = 5 [Equation 2] Step4: Solving both the equations X =7, Y=2 Step5: The number is XY =27Problem4: If a number is subtracted from the square of its one half, the result is 48. The square root of the number is?Solution:Step1: Let the number is X Step2: If a number is subtracted from the square of its one half, the result is 48 (X/2)2 –X = 48 X2/4 – X =48 (X-16) (X+12) = 0 X= 16 Step3:The square root of the number 16 is 4Problem5: A two digit number is seven times the sum of its digits. If each digit is increased by 2, the number, thus obtained is 4 more than six times the sum of its digits. Find the number?Solution:Step1: Let the two digit number is 10X + Y Step2: A two digit number is seven times the sum of its digits.10X + Y = 7 (X+ Y) X= 2Y [Equation 1] Step3:If each digit is increased by 2, the number, thus obtained is 4 more than six times the sum of its digits.10 (X+2) + (Y+2) = 6 (X+Y+4) + 4 4X – 5Y =6 [Equation 2]Step4:Solving equation 1 and 2We get X=4 and Y=2Step5: Number is XY = 42 Problem6: 1/5 of a number is equal to 5/8 of the second number. If 35 is added to the first number, then it becomes 4 times of the second number. What is the value of the second number?Solution:Step1: Let the two digit number X and Y Step2: 1/5 of a number is equal to 5/8 of the second number1/5X = 1/5Y X/Y = 25/8 [Equation 1]Step3:If 35 is added to the first number, then it becomes 4 times of the second number.X + 35 = 4YPutting Equation 1 here…25/8Y + 35 = 4Y Y = 40Step4:Value of second number is 40Problem7: If a fraction numerator is increased by 1 and the denominator is increased by 2 then the fraction becomes 2/3. But when the numerator increased by 5 and the denominator is increased by 1, then the fraction becomes 5/4. What is the value of the original fraction?Solution:Step1: Let the fraction be X/Y Step2: If a fraction numerator is increased by 1 and the denominator is increased by 2 then the fraction becomes 2/3.X + 1/ Y+2 = 2/3 3X = 2Y + 1 [Equation 1]Step3:When the numerator increased by 5 and the denominator is increased by 1, then the fraction becomes 5/4.(X + 5) /(Y + 1) = 5/4 4X = 5Y – 15 [Equation 2]Step4:Solving both the equations (2Y + 1) / 3 = (5Y – 15) / 4 8Y + 4 =15Y – 45 Y = 7AndX = (2Y +1) / 3 =[(2*7) + 1] / 3 X = 5Step5:Required original fraction is X/Y =5/7 >>CLICK HERE TO DOWNLOAD PDF FILE of NUMBERS..Related Posts: Higher Level of Difficulty in LCM and HCF Shortcut to find LCM and HCFEase up your Multiplication workLearn 4 simple methods of SquaringLet’s beat the cube root at its bestSolving Square Root is a child’s play nowPosted byShikha Nandaat23:58Email ThisBlogThis!Share to TwitterShare to FacebookShare to PinterestLabels:Quantitative AptitudeLocation:Sahibzada Ajit Singh Nagar, Punjab, IndiaWednesday, 16 December 2015
Numbers based Aptitude
>>CLICK HERE TO DOWNLOAD PDF FILE of NUMBERS..Rules based on Numbers are simple, no need to learn anything new. These are all, we have already done in our school times. Recall the Mathematical Formula in Algebra (a + b)2 = a2 + b2 + 2ab(a – b)2 = a2 + b2 -2ab(a2 – b2 )= (a + b) (a – b)(a + b)3 = a3 + b3 + 3ab (a+b)(a – b)3 = a3 – b3 -3ab (a-b) a3 + b3 = (a+b) (a2- ab +b2)a3- b3 = (a-b) (a2+ ab +b2)(a+b+c)3 = a2 + b2 + c2 + 2ab +2bc + 2caThe concept needs better understanding and thorough reading of statements given to solve. Let see how to figure out the number based problems…..Problem1: The sum of two numbers is 29 and the difference of their squares is 145. The difference between the numbers is?Solution:Step1: Take two numbers X and Y Step2: The sum of two numbers is 29 X + Y = 29 Step3: The difference of their squares is 145X2 – Y2 = 145 Step4: To evaluate both the statements apply algebraic formula and put the given values here (a2 – b2)= (a + b) (a – b) 145 = 29 (a-b) 145/29 = (a-b)Step5: The difference of the numbers (X – Y)= 5Problem2: The ratio between two numbers is 3:4 and their sum is 420. The greater of the two numbers is?Solution:Step1: Take a numbers x Step2: The ratio between two numbers is 3:4 Step3: Ratio means both the numbers are divisible with single common multiple. Let’s take it ‘x’ which will multiply with both the numbers as First number = 3x Second Number = 4x Step4: Their sum is 4203x + 4x = 420 7x= 420 x=60Step5: Numbers are 3x= 3 * 60= 180 4x= 4 * 60 = 240Step6: The second number is greater than first one Problem3: Three fourth of one-fifth of a number is 60. The number is?Solution:Step1: Three fourth ¾ and one fifth 1/5 Step2: ‘Of ’ designated multiplication hereStep3: A number takes it as ‘x’ 3/4 * 1/5 * x = 60 3/20 * x = 60 x = 400Step4: The number is 400Problem4: The difference between the squares of two consecutive numbers is 35. The number are?Solution:Step1: Consecutive numbers are numbers follow each other like 1, 2,3 ,4 Step2: Imagine two consecutive number x and (x + 1)Step3: The difference between the squares of two numbers is 35. Square it first x2 , (x+1)2Step4: The difference between two means subtract the smaller number from greater one i.e.(x+1)2 – x2 = 35 Step5: Evaluate and it comes out x=18Step6: First number x=18Second number is x + 1 =19 Problem5: The sum of the two numbers is twice their difference. If the one of the number is 10, the other number is? Solution:Step1: Take two number X and Y Step2:Take X= 10 ( Given one number)Step3: The sum of the two numbers is twice their difference.(10 + Y) =2 (10 –Y) 10 +Y = 20 -2Y Y= 10/3 Step4: Other number is 10/3 or take in mixed fraction as 3 1/3 Problem6: The number whose fifth part is increased by 5 is equal to its fourth part diminished by 5. The number is? Solution:Step1: Take a number X Step2: Fifth part of number is 1/5 of x and fourth part of number is 1/4 of xStep3: The number whose fifth part is increased by 5 is equal to its fourth part diminished by 5 1/5 * x + 5 =1/4 * x -5 Step4: Evaluate it x/5+ 5 = x/4 -510 = x/4 – x/5Step5: The number is x = 200Post on Higher level difficulty in Numbers is coming soon……. >>CLICK HERE TO DOWNLOAD PDF FILE of NUMBERS..Related Posts: Higher Level of Difficulty in LCM and HCF Shortcut to find LCM and HCFEase up your Multiplication workLearn 4 simple methods of SquaringLet’s beat the cube root at its bestSolving Square Root is a child’s play nowPosted byShikha Nandaat07:42Email ThisBlogThis!Share to TwitterShare to FacebookShare to PinterestLabels:Quantitative AptitudeLocation:Sahibzada Ajit Singh Nagar, Punjab, IndiaThursday, 3 December 2015
What are NBFCs
>>CLICK HERE TO DOWNLOAD PDF FILE..NBFCs (Non-Banking Financial Companies) trend is emerging these days. It is not a bank, don’t bear banking license at all! Even though most of our populace is going behind these Financial companies. What is peculiar about these NBFCs? What it can do and what not? Let’s see… Non- Banking Financial Companies are financial institutions offering banking services. These are registered under the Companies Act, 1956. As per RBI guidelines, NBFCs are only limited to supply business loans, shares, bonds, debentures, securities, mutual funds, etc. In India, these are governed under banking statuary body i.e. Reserves Bank of India (RBI). Institutions are restricted to raise deposits from individuals instead issue Term debt/bonds/shares as to fulfill the need. In India, NBFCs are contributing to the Indian economy in a great way. It gains the huge importance and becomes simple to find banking services under one roof. With the easy to go procedures, customer oriented service, flexible terms and pretty high rates of return; these are becoming a smart choice of all.For a company to be registered as NBFC, it is required to get the RBI authority a deposit raising to act like institution. The first step is To register under The Companies Act, 1956.
It should have at least owned 200 lakhs as NOF (Net owned Funds).
The process starts with the online application submitted along with all required details and documents on RBI Portal. If your details are right and contended under the RBI Act, 1934 then, they offer a registration certificate to the applicant company.
Classification of NBFCs:
Before application, deep study of classification of NBFCs, is required. There are some of the categories of NBFC Companies jotted down.Check and consider your category:Investment NBFCs: Investment company usually provides Stocks, Shares, Bonds, Financial Securities, etc. as their main function.
Infrastructure Finance Company: These are a non-banking finance company helps in contributing leastwise 75 per cent of its total resources in infrastructure loans. These companies owned Net Owned Funds of Rs. 300 crore.
Loan Company: These companies are financial institution engaged in offering loans or advances. Their principal job is to provide finance.
Micro-Finance Institution: Such institutions typically engaged in micro finance activities.Such Institution don’t take deposits from the public.
Infrastructure Debt Fund: Such NBFC are made to ease long term debt in infrastructure development plans. Minimum 5 year maturity period is there in producing debts.
Other Important Investment Company: These NBFCs bears a resource over Rs.100 crores and typically takes deposits, works in issuing shares and various other securities.
Asset Finance Company (AFC): Such companies or financial institution with its principal business is to supply finance for various physical assets like machines, vehicles, equipments, etc. used in industries.
Indian Non-Banking Financial Companies at the top
Reliance Capital, Power Finance Corporation, The Infrastructure Development Finance Company, M & M Financials, LIC Housing Finance, National Bank of Agricultural and Rural Development, IFCI, JM Financial company, Muthoot Finance, Tata Capital, HDFC, Bajaj Holdings are some of the famous names of NBFCs working in India.
Role of NBFCs in Indian Economy
In Indian economy, NBFCs playing a vital role in the growth of sectors like employment, transport and the most important, lending a strong hand to those belongs to poor minority financially. Moreover, these institutions guide lay person to clear their financial queries and remove the obstacles coming forth on their way to success.
>>CLICK HERE TO DOWNLOAD PDF FILE..Related Posts: Business Banking,Discover Banking Services in India, Banking Structure in India,History of Banking in IndiaPosted byShikha Nandaat05:42Email ThisBlogThis!Share to TwitterShare to FacebookShare to PinterestLabels:Banking AwarenessLocation:Sahibzada Ajit Singh Nagar, Punjab, India Newer PostsOlder PostsHomeSubscribe to:Posts (Atom)