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Lens of Glass
a piece of glass or other transparent material with curved sides for concentrating or dispersing light rays, used singly (as in a magnifying glass) or with other lenses (as in a telescope).
Arun Thomas
English to the Max 1,200 Questions That Will Maxim
English to the Max 1,200 Questions That Will Maximize Your English Power -Mantesh
BANDARU GOWTHAM
Cost Accounting
This file contains notes of cost accounting for students of BBA, B.com, B.com (hons). It can also be referred by the students pursuing Chartered Accountancy profession.
Vaibhav Singh Bhandari
Physics Notes for NEET/AIIMS 12.1
Physics Notes for NEET/AIIMS Class 12 Part 1. This is a part of the series.
Mayukh Saikia
Hari Ka
antenna unit 3
vaibhav sir
abhinav shukla
Ratio And Proportion- Basics
Ratio And Proportion- Basics What is Ratio? A ratio is a relationship between two numbers by division of the same kind. The ration of a to b is written as a: b = a / b In ratio a : b , we can say that a as the first term or antecedent and b, the second term or consequent. Example: The ratio 4 : 9 we can represent as 4 / 9 after this 4 is a antecedent and , consequent = 9 Rule of ration : In ratio multiplication or division of each and every term of a ratio by the same non- zero number does not affect the ratio. Different type of ratio problem is given in Quantitative Aptitude which is a very essential topic in banking exam. Under below given some more example for your better practice. Anything we learn in our school days was basics and that is well enough for passing our school exams. Now the time has come to learn for our competitive exams. For this we need our basics but also we have to learn something new. That’s where shortcut tricks and formula are comes into action. What is Proportion? The idea of proportions is that two ratio are equal. If a : b = c : d, we write a : b : : c : d, Ex. 3 / 15 = 1 / 5 a and d called extremes, where as b and c called mean terms. Proportion of quantities the four quantities a, b, c, d said proportion then we can express it a : b = c : d Then a : b : : c : d <–> ( a x d ) = ( b x c ) product of means = product of extremes. If there is given three quantities like a, b, c of same kind then then we can say it proportion of continued. a : b = b : c the middle number b is called mean proportion. a and c are called extreme numbers. So, b2 = ac. ( middle number )2 = ( First number x Last number ). Quiz on ratio and proportion:- 1 If P : Q : R = 2 : 3 : 4 , Then P / Q : Q / R : R / P = ? A. 8: 9: 24 B. 7: 9: 24 C. 4: 6: 15 D. 8: 11: 24 E. None of these 2: If 2P = 3Q = 4R, Then P : Q : R = ? A. 2: 3: 5 B. 2: 3: 4 C. 3: 5: 6 D. 1: 2: 3 E. None of these 3: If P : Q = 2 : 3 , Q : R = 4 : 5 and R : S = 6 : 7 , then P : S = ? A. 18: 25 B. 17: 35 C. 16: 35 D. 8: 11 E. None of these 4:Rama distributes his pencil among his four friends Rakesh, Rahul, Ranjan, and Rohit in the ratio 1 / 2 : 1 / 3 : 1 / 4 : 1 / 5 . What is the minimum number of pencils that the person should have? A. 66 B. 64 C. 72 D. 77 E. None of these 5: Two numbers are respectively 40% and 60% more than third number. Find the ration of two numbers ? A. 8: 7 B. 7: 9 C. 9: 11 D. 8: 13 E. None of these 6: Rs 1210 were divided among three person P, Q, R so that P : Q = 5 : 4 and Q : R = 9 : 10. Then R gets the amount. A. 450 B. 400 C. 500 D. 375 E. None of these 7: Share Rs.4200 among joy, sanjay and bijoy in the ration 2 : 4 : 6.Find the amount received by sanjay. A. 1200 B. 1300 C. 1400 D. 1500 E. None of these 8 :Find the mean proportional between given two number that is 64 and 49. A. 45 B. 52 C. 54 D. 56 E. None of these 9: What number has to be added to each term of 3 : 5 to make the ratio 5 : 6 . A. 7 B. 6 C. 8 D. 5 E. None of these 10:Rs. 385 were divided among P , Q , R in such a way that P had Rs 20 more than Q and R had Rs 15 more than P . How much was R’s share? A. 156 B. 145 C. 152 D. 150 E. None of these Answers with Explanation:- 1. P : Q : R = 2 : 3 : 4 . Let P = 2k, Q = 3k, R = 4k. Then, P / Q = 2k / 3k = 2 / 3 , Q / R = 3k / 4k = 3 / 4 R / P = 4k / 2k = 2 / 1. SO, P / Q : Q / R : R / P = 2 / 3 : 3 / 4 : 2 / 1 = 8 : 9 : 24. 2. Let 2P = 3Q = 4R = k , Then , P = k / 2, Q = k / 3 , R = k / 4. SO , P : Q : R = k / 2 : k / 3 : k / 4 = 6 : 4 : 3. 3. (C) 4. Rakesh : Rahul : Ranjan : Rohit = 1 / 2 : 1 / 3 : 1 / 4 : 1 / 5 Step 1: At First we need to do is LCM of 2,3,4 and 5 is 60. Step 2: Then pencil are distributed in ratio among friends, Rakesh = ( 1 / 2 x 60 ) = 30. Rahul = ( 1 / 3 x 60 ) = 20. Ranjan = ( 1 / 4 x 60 ) = 15. Rohit = ( 1 / 5 x 60 ) = 12. Step 3: Total number of pencils are ( 30 x + 20 x + 15 x + 12 x) = 77 x. For minimum number of pencils x = 1 . The person should have atleast 77 pencils. 5.Step 1: Let the third number is A Then first number is 140% of A = 140 x A / 100 = 7A / 5 and second number is 160% of B = 160 x B / 100 = 8B /5. Step 2: now ratio of first and second number is 7A / 5 : 8B / 5 = 35A : 40B = 7 : 8. 6. P : Q = 5 : 4, Q : R = 9 : 10 = ( 9 x 4 / 9 ) : ( 10 x 4 / 9 ) = 4 : 40 / 9. So, P : Q : R = 5 : 4 : 40 /9 = 45 : 36 : 40 Sum of ratio terms is = ( 45 + 36 + 40 ) =121. R share of amount is Rs (1210 x 40 / 121) = Rs. 400. 7. Amount received by sanjay. 4 / 12 X 4200 = 1400= ( related ratio / sum of ratio ) x Total amount So, the Amount received by sanjay is 1400. 8. The mean proportion of two numbers is Root of 64 and 49 is √8 x √ 7 = 8 x 7 = 56. So, the mean proportional is 56. 9.Let the number to be added x , Then 3 + x / 5 + x = 5 / 6 6 ( 3 + x ) = 5 ( 5 + x ) x = ( 25 – 18 ) = 7 So , the number to be added is 7 . 10. Let Q gets Rs x. Then We can say P gets Rs (x + 20 ) and R gets Rs ( x + 35) . x + 20 + x + x + 35 = 385 3x = 330 x = 110 . R’s share = Rs ( 110 + 35 ) = Rs 145 .
Pratyaksh Mangal
JavaScript String Methods
JavaScript String MethodsString methods help you to work with strings.String Methods and PropertiesPrimitive values, like "John Doe", cannot have properties or methods (because they are not objects).But with JavaScript, methods and properties are also available to primitive values, because JavaScript treats primitive values as objects when executing methods and properties.String LengthThe length property returns the length of a string:Examplevar txt = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";var sln = txt.length;Finding a String in a StringThe indexOf() method returns the index of (the position of) the first occurrence of a specified text in a string:Examplevar str = "Please locate where 'locate' occurs!";var pos = str.indexOf("locate");
Jay Kakadiya
Mountain Man Brewing Company Case Solution
Case Analysis of MMBC.
Hima Bindu Mudadla
Diffraction PPT for engineering (1st year)
It contains a ppt which will help you to get knowledge about diffraction which you will require in your first year of B.Tech.
Nitish Garg
powder metallurgy techniques
Attached below are the notes for the course mechanical and subject manufacturing. The topics included in the attachment are related to Powder forging. #VIT Chennai
jefrish rajkumar
Consistency of cement sample by "Vicat Apparatus"
The standard consistency of a cement paste is defined as that consistency which will permit the vicat plunger to penetrate to a point 5 to 7 mm from the bottom of the vicat mould. APPARATUS. • Vicat Apparatus Conforming to IS: 5513-1976.
Rishi Soni
Project Report
Project Report on the reliance jio and similar strategy groups
Saurabh Pal
Notes of Understanding and Managing individual Behaviour
This clip contains notes of Understanding and Managing individual Behaviour.
HARPREET SINGH
Personality Development
research on various types of personalities.
Ankit Dixit
DBMS chapter 11 for IPU students 4th semester
This document contains information that is necessary for the students studying dbms subject in IPU affiliated colleges. It contains the chapter which will be required for them to learn and grasp for further studies in dbms subject.
Hemant Nasa