Posts

Showing posts with the label Quantitative Aptitude

Number system - Divisiblity Test

Tests of divisibility -  Divisibility by 2: A number is divisible by 2 if its unit digit is zero or an even number. Example: 248, 130 Divisibility by 3: A number is divisible by 3 if the sum of its digit is divisible by 3. Example: 273 ® 2 + 7 + 3 = 12. 12 is divisible by 3, hence 273 is divisible by 3. Divisibility by 4: A number is divisible by 4 if the number formed by its last two digits is divisible by 4. Example: 236784 Here, 84 is divisible by 4, hence 236784 is divisible by 4. Divisibility by 5: A number is divisible by 5 if the number or its unit digit is either 5 or 0. Example: 115, 240, etc. Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3. Example: 318, 396, etc. Divisibility by 8: A number is divisible by 8 if the number formed by its last 3 digit is divisible by 8. Example: 23816. Here, 816 is divisible by 8, hence 23816 is divisible by 8. Divisibility by 9: A number is divisible by 9 if the sum of all its digits is divisible by 9. Exam...

Number System - Types of Number

This post forms a basis of many other topics in quantitative aptitude . Let us begin by understanding various types of numbers. (1) Natural Numbers: All the counting numbers are called natural number. Example: 1, 2, 3, 4, 5, ...... (a) Even Numbers: The numbers which are exactly divisible by 2 are called even numbers. Example: 2, 4, 6, 8, ... (b) Odd Numbers: The numbers which leave a remainder 1 when divided by 2 are called odd numbers. Example: 1, 3, 5, 7, .... (c) Prime Numbers: If a number is not divisible by any other number except 1 and itself, it is called a prime number. Example: 2, 3, 5, 7, 11, .... Co-primes ® Two numbers which have no common factor between them except 1 are said to be co-prime to each other. The two numbers individually may be prime or composite. Example: 13 and 29 are co-primes. (d) Composite Numbers: Numbers which are divisible by other numbers along with 1 and itself are called composite numbers. Example: 4, 6, 8, 9, 10, ..... The number 1 is neither prim...

Partnership Concepts

Partnership Concepts  Concept 1 : If a group of n persons invested different amount for different period then their profit is the ratio is At1 : Bt2 : Ct3 : Dt4 : .....: Xtn Here first person invested amount A for t1 period, second persons invested amount B for t2 period and so on. Concept 2 : If investments are in the ratio of a : b : c and the timing of their investments in the ratio of x : y : z then the ratio of their profits are in the ratio of ax : by : cz. Concept 3 : If investments are in the ratio a : b : c and profits in the ratio p : q : r, then the ratio of time is p/a :q/b : r/c

Partnership - introduction, types of partnership

 Hello friends, in this post we will discuss the basic concept of partnership, types of partnership. So we will start with the introduction of partnership.  Introduction of partnership When two or more persons make an association and invest money for running a certain business and after certain time they receive profit in the ratio of their invested money and time period then such an association is called partnership and the person involved in the partnership are called partners.  Types of partnership There are two types of partnership which are as follows  1. Simple partnership If all partners invest their different capital for same time period or same capital for different time period then their profit or loss is in the ratio of their investment or time period of investment then such a partnership is called simple partnership.  2. Compound partnership If all partners invest their different capital for different time period , then their profit not only depends ...

Simple Interest Basics, Formula

SIMPLE INTEREST Basic terms associated with this topic: Interest : It is the time value of money. It is the cost of using capital. Principal : It is the borrowed amount. Amount : It is the sum total of Interest and Principal. Rate : It is the rate percent payable on the amount borrowed. Period: It is the time for which the principal is borrowed. Simple interest : Simple Interest is payable on principal. Basic formulas related to Simple Interest Simple Interest (SI) =( P × R × T ) ÷ 100 Here P = principal, R = rate per annum, T = time in years

Word Problems Based On Average With Answer

Image
Question 1 Average of 10 observation in a series is 64. If average of first 5 observation is 45 and last 3 observation is 71 . Find the average of remaining 2? Solution Question 2 Abhinav bought 55 books for Rs. 1,020 from one shop and 60 books for Rs. 1,280 from another shop. What is the average price he paid per book?  Solution  Question 3 Average of 11 numbers is 71 and the average of first 5 numbers is 73. If average of last 4 numbers is 84 and the ratio of 6 th and 7 th number is 9 : 7, then find the 6 th number.  Solution -

Percentage - basics , word problems based on percentage

Image
Percentage - percentage means for every hundred. A percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent"  New Number When a Number Is Increased/Decreased by a Certain Percent       Word Problems Based On Percentage  Question 1 Ramola’s monthly income is three times Kavita’s monthly income. Kavita’s monthly income is 25% more than Ruchi’s monthly income. Ruchi’s monthly income is Rs. 34000. What is Ramola’s Annual income?  Answer - Question 2  Five-ninth of sixty two percent of a number is equal to 2790. What is the number?  

Ratio And Proportion Concept , Tricks , Examples

Image
Ratio And Proportion In Mathematics ratios and proportion is a very important concept. Let us understand the concepts with the help of examples and solved questions. Ratios Ratios are the mathematical numbers used to compare two things that are similar to each other in terms of units. For example, we can compare the length of a pencil to the length of a pen likewise distance to a unit that denotes distance. We can’t compare two things that are not similar to each other. Similarly, we can’t compare the height of a person to the weight of another person. As an illustration, suppose the weight of Rohan is 150 kg and the weight of Sohan is 300kg. A ratio of Rohan’s weight to Sohan’s weight can be found out by dividing Rohan’s weight to Sohan’s weight and vice versa. The ratio between Rohan’s and Sohan’s weight is 150/300= 1:2. A ratio is denoted by ‘:’. In the above case, we can say that 2 times the weight of Rohan equals the weight of Sohan or Rohan’s weight is half of Sohan...