Simple Interest in aptitude

 Simple Interest in  aptitude :

INTRODUCTION:- Simple Interest is a simple strategy for computing the interest for a credit/chief sum. Basic premium is an idea that is utilized in numerous areas like banking, money, vehicle, etc. At the point when you make an installment for a credit, first it goes to the month to month interest and the leftover goes towards the chief sum.In this article, let us talk about the definition, straightforward interest recipe, and how to work out the basic interest with models.

Simple Interest Meaning :-  Simple Interest  (S.I) is the strategy for computing the premium sum for some chief measure of cash. Have you at any point acquired cash from your kin when your pocket cash is depleted? Or then again loaned him perhaps? What happens when you acquire cash? You utilize that cash for the reason you had acquired it in any case. From that point onward, you return the cash at whatever point you get the following month's pocket cash from your folks. This is the means by which acquiring and loaning work at home.

# However, in reality, cash isn't allowed to get. You frequently need to get cash from banks as a credit. During compensation, aside from the advance sum, you pay some more cash that relies upon the credit sum as well as the ideal opportunity for which you acquire. This is called basic interest. This term tracks down broad utilization in banking. 

Simple Interest Formula :- 

  The recipe for simple  interest  assists you with finding the interest amount assuming the chief sum, pace of interest      and time spans are given. 

🍥 SI = PTR/100

 

 SI = SIMPLE INTEREST 

 P = PRINCIPLE AMOUNT 

 R = RATE OF INTEREST 

T = TIME 

 A = TOTAL AMOUNT = INTEREST (SI) + PRINCIPLE AMOUNT (P)

 

 

# Simple Interest Formula For Months

The recipe to compute the simple  interest consistently has been given previously. Presently, let us see the equation to work out the interest for a really long time. Assume P be the chief sum, R be the pace of interest per annum and n be the time (in months), then the equation can be composed as:

Simple Interest for n months = (P × n × R)/ (12 ×100)

The rundown of equations of basic interest for when the time span is given in years, months and days are classified beneath

 

Time	Simple interest Formula	Explanation
Years	PTR/100	T = Time in Years
Months	(P × n × R)/ (12 ×100)	n = Time in months
Days	(P × d × R)/ (365 ×100)	d = Time in days (non-leap year)

# Difference Between Simple Interest and Compound Interest

There is one more sort of interest called build interest. The significant contrast among Basic(Simple) and build(Compound) interest is that basic interest depends on the chief measure of a store or a credit though accumulate interest depends on the chief sum and interest that collects in each timeframe. How about we see one straightforward guide to figure out the idea of basic interest.

Examples :- 

1.Raju takes a loan of Rs 12000 from a bank for a period of 1 year. The rate of interest is 8% per             annum. Find the interest  he has to pay at the end of a year ?

   a) 860

   b) 900

   c) 960

   d) 800

Answer :- c)960

2.Nabita borrowed Rs 25,000 for 3 years at the rate of 4.5% per annum. Find the interest accumulated at the end of 3 years.

   a) 3380

   b) 3375

   c) 3370

   d) 3385

Answer :- b) 3375

3.Rohit pays Rs 8000 as an amount on the sum of Rs 6000 that he had borrowed for 2 years. Find the rate of interest.

   a) 17.67 %

   b) 16.67 %

   c) 15.67 %

   d) 14.67%

Answer :- b) 16.67%

Calendar Mathematics questions

 Calendar Mathematics questions :

Mathematics :- 

1.What will be the day of the week 15th August, 2011?

A. Sunday B. Monday C. Tuesday D. Friday

Answer :-  B) Monday 

2. Today is Monday. After 65 days, it will be:

A. Wednesday B. Saturday C. Tuesday D. Thursday Answer :-  A) Wednesday   3. If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2003? A. Sunday B. Saturday C. Thursday D. Wednesday Answer :-  C) Thursday 5. How many days are there in 'n' weeks 'n' days? A. 7n2 B. 8n C. 14n D. 7 Answer :-  B) 8n 6.The last day of a century can be A. Thursday  B. Wednesday C. Tuesday D. Saturday  Answer :-  B) Wednesday  7. On 8th Feb, 2005 it was Tuesday. What will be the day of the week on 8th Feb, 2006? A. Tuesday B. Saturday C. Sunday D. Wednesday Answer :-  D) Wednesday 8.January 1, 2008 was Tuesday. What day of the week lies on Jan. 1, 2009 ? A. Monday B. Tuesday C. Wednesday D. Thursday  Answer :-  D)  Thursday  9.January 1, 2009 is Thursday. What day of the week lies on Jan 1, 2010 ? A. Monday B. Friday  C. Thursday D. Sunday Answer :-  B)  Friday  10.On 8th Dec, 2004 Wednesday falls. What day of the week was it on 8th Dec, 2005? A. Sunday B. Thursday C. Tuesday D. Friday Answer :-  B) Thursday 11.Which of the following is not a leap year? A. 600 B. 800 C. 1200 D. 2000 Answer :-  A)  600

Calendar Mathematics

 Calendar Mathematics 

Calendar:- Important Formulas 

a) ODD Days :-  We should track down the day of the week on a given date.

For this, we utilize the idea of 'odd days'.

In a given period, the quantity of days more than the total weeks are called odd days. 

b) Leap Year :-

 (I). Consistently separable by 4 is a jump year, on the off chance that it's anything but a long time.

(ii). Each fourth century is a jump year and no other century is a jump year. 

Note: A jump year has 366 days. (Leap Year Also Called Jump Year )

Examples: -

Every one of the years 1676, 1948, 2004, etc. is a jump year.

Every one of the years  800, 1200, 1600, 2000 ,etc. is a jump year.

None of the years 2001, 2002, 2003, 2005, 1800 etc. is a jump year.

c) Ordinary Year & Normal Year :-

The year which isn't a jump year is called a normal years. A Normal year year has 365 days.

 d) Counting of Odd Days:-

(i) One simple or ordinary year has 365 days = {52 weeks and 1day}

∴  Then the one simple year has 1 odd day . 

 

(ii) One leap year or jump year has 366 days = {52 weeks and 2 days }

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∴  Then the one leap year or jump year  year has 2 odd days

(iii) For 100 years there is a = 76 simple or ordinary years + 24 leap year or jump years

 ∴ There are total odd days =  (76 x 1 + 24 x 2) odd days = 124 odd days. 

∴ The weeks are 17 and remaining 5 odd days.

 

# The number of odd days in 100 years = 5 days 

   

    The number of odd days in 200 years = { 5🗙 2 } days = 10 days = 1 week + 3 odd days

   The number of odd days in 300 years = { 5🗙 3 } days = 15 days = 2weeks + 1 odd day

  

   The number of odd days in 400 years = { 5🗙 4 +1 } days = 21 days = 3weeks + 0 odd day

🍝Likewise, Every single one ofDownload 800 years, 1200 years, 1600 years, 2000 years etc. had  0 odd days.

e) Day of the Week Related to Odd Days:-

 

                 Day :-            SUN.      MON.     TUES.     WED.     THURS.     FRI.       SUN.   

Number of days : -           0            1             2             3                4             5            6

Examples :-  

1. If was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2009?

A. Sunday B. Saturday C. Thursday  D. Wednesday  Answer :-  C) Thursday  2. What was the day of the week on 28th May, 2007? A. Monday  B. Friday C. Saturday D. Sunday

Answer :-  A)  Monday 

3. What was the day of the week on 17th June, 1999 ?

A. Monday B. Tuesday C. Wednesday D. Thursday

 Answer :-  D)  Thursday 

4. On what dates of April, 2001 did Monday fall?

A. 1st, 8th, 15th, 22nd, 29th B. 2nd, 9th, 16th, 23rd, 30th C. 3rd, 10th, 17th, 24th D. 4th, 11th, 18th, 25th

Answer :-  B)  2^nd, 9^th, 16^th, 23^rd, 30^th 

Indices and Surds in mathematics

 Indices and Surds in mathematics 

Surds are a type of equation that can be used in mathematics. They are equations that have an unsolvable equation at one or both of the poles. Indices are a type of variable that can be used in solving surds.

An index is a number that indicates how many times a number, called the base, is used as a factor. In other words, an index tells you how many times to use the base as a factor. The number 5 can be written as a power of 10, using an index. The number 5 can also be written as a power of 2, using an index.

The index of a power tells you the number of times to use the base as a factor. For example, the index of 10 is 2. This means that 10 is two times 10, or 10 to the power of 2. In mathematical terms, we say that 10 is raised to the power of 2.

The index of a surd tells you the number of times to use the number under the radical sign as a factor. For example, the index of 3 is 2. This means that 3 is two times 3, or 3 to the power of 2. In mathematical terms, we say that 3 is raised

An index is a number that indicates how many times a number, called the base, is used as a factor.

 In mathematics, indices are also called powers or exponents.

The number 5 can be written as a power in two ways: 5 = 5^1 or 5 = 5^0. In the first case, 5 is called the base and 1 is called the index or exponent. 

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In the second case, the base is still 5, but the index is now 0.

The number 9 can also be written as a power: 9 = 3^2. Here, 3 is the base and 2 is the index.

Powers are usually written with the base first and the index second. 

For example, we would write 9 = 3^2 rather than 2^3.

The index tells us how many times to use the base as a factor.

 In the case of 9 = 3^2, we use the base (3) two times as a factor

An index is a number that indicates how many times a number, called the base, is used as a factor. In other words, an index tells you how many times to multiply the base by itself.

The Index of a surd is the number of times you have to multiply the root by itself to get the original number. 

For example, the index of √8 is 2, because you have to multiply √8 by itself twice to get 8.

The following formula can be used to simplify surds:

A^m √b = √(ab^m)

This formula can be used to find the value of √8:

√8 = √(2∗2∗2) = 2√2

The following formula can be used to simplify surds:

A^m √b = √(ab^m)

Blood relation in mathematics

 Blood relation in mathematics 

In mathematics, a blood relation is a type of relation that exists between certain members of a family. Specifically, blood relations are defined as those relations that exist as a result of the sharing of blood between two individuals. This type of relation is typically found between siblings, cousins, and other close family members. Blood relations can be used to define other mathematical concepts, such as kinship and family trees.

In mathematics, a blood relation is a type of relation between two objects that are related by virtue of sharing a common ancestor. The most common examples of blood relations are those between siblings, cousins, and parent-child pairs.

Formula:

In mathematics, a formula is a statement that expresses a fact or relationship in a concise way. A formula is usually an equation that relates two or more variables. In a blood relation problem, the variables typically represent people in a family and the relationships between them. The goal is to find a formula that describes the relationships in terms of the variables.

 

There are a few things to keep in mind when solving blood relation problems. First, you need to be familiar with the standard notation for family relationships. For example, “A” is the symbol for a mother, “B” is the symbol for a father, “C” is the symbol for a child, and so on. Second, you need to be able to read and understand a family tree diagram. A family tree diagram is a graphical representation of a family’s lineage. It shows how people are related to each other through blood, marriage, or adoption. Finally, you need to be familiar with the basic principles of solving equations.

Formula is the kinship coefficient, which is also known as the coefficient of relationship. This formula takes into account the number of generations that separate the two people.

 

Question:

Blood relation questions in mathematics aptitude are based on the family tree. The objective of these questions is to find the relationship between the different members of a family. The questions are generally based on theinformation given in the family tree. The family tree usually contains information about the husband, wife, children, parents, grandparents, etc.

 

To solve these questions, one must first understand the terminology used in the family tree. The following are some of the terms that are used in the family tree:

 

Father: The male parent of an individual.

 

Mother: The female parent of an individual.

 

Husband: The male spouse of an individual.

 

 

Wife: The female spouse of an individual.

 

Son: A male child of an individual.

 

Daughter: A female child of an individual.

 

Brother: A male sibling of an individual.

 

Sister: A female sibling of an individual.

 

Blood relation questions in mathematics often stump students. The following tips may help you better understand and solve these types of questions.

 

1.      First, identify the family members in the question. There are usually three or four people involved in blood relation problems.

 

2.      Second, determine the nature of the relationship between the family members. For example, are they siblings, cousins, or grandparents?

 

 

3.      Once you know the nature of the relationship, you can begin solving the problem.

 

4.      Be sure to label the family members with letters or numbers so that you can keep track of who is who.

 

 

5.      Blood relation questions often involve solving for X. Use the information given in the question to solve for X.

 

6.      If you get stuck, try drawing a family tree. This can help you visualize the relationships between the family members and may give you a clue as to how to solve the problem.

 

Blood relations are one of the most important topics in mathematics, especially in arithmetic. Many people have trouble understanding blood relations, but once you get the hang of it, it's not so bad.

 

There are three types of blood relations: addition, subtraction, and multiplication. Each type of blood relation has its own set of rules.

 

Addition:

 

To add two blood relations, you add the number of relations each person has. For example, if Person A has 3 relations and Person B has 4 relations, the total number of relations between them is 7.

 

Subtraction:

 

To subtract two blood relations, you subtract the number of relations each person has. For example, if Person A has 3 relations and Person B has 4 relations, the total number of relations between them is -1.

 

Multiplication:

 

To multiply two blood relations, you multiply the number of relations each person has. For example, if Person A has 3 relations

What is the meaning of decimal fraction

 What is the meaning of decimal fraction :

A decimal fraction Is a fraction that is written in the form of a decimal. Decimals are used in many different ways, but the most common way to use decimals is to divide a number by 10. This is why decimal fractions are often called “percentage” fractions.

A decimal fraction is a fraction where the denominator is a power of ten. For example, 1/10 is a decimal fraction because 10 is a power of ten (10^1). Decimal fractions are also called decimal numbers or simply decimals.

 

Decimal fractions are used in many everyday situations. For example, when we measure something using the metric system, the units are often decimal fractions.

 For example, a person may be 1.75 metres tall (1 metre = 100 centimetres). When we buy things, the prices are often given as decimal fractions too. For example, a can of cola might cost $1.50 (1 dollar = 100 cents).

 

Decimal fractions are easy to work with once you understand how they work. In general, you just need to move the decimal point to the right or left to make the number bigger or smaller. For example, if we want to make 1/10 larger, we can move the decimal point one place

 

A decimal fraction is a number that has a decimal point in it. 

For example, 3.14 is a decimal fraction.

 

When we write a decimal fraction, we use a point to show where the decimal place is. The number to the left of the decimal point is called the whole number part, and the number to the right of the decimal point is called the decimal part.

 

For example, in the decimal fraction 3.14, the whole number part is 3 and the decimal part is 14.

 

The decimal point separates the whole number part from the decimal part. It is like a line that we can use to divide a number into two parts.

 

The whole number part is everything to the left of the decimal point, and the decimal part is everything to the right of the decimal point.

Decimals are numbers that are represented with a decimal point. A decimal point separates the whole number part of a decimal from the fractional part. The fractional part is everything to the right of the decimal point.

 

For example, the number 3.14 is a decimal. The 3 is the whole number part and the 14 is the fractional part. The fractional part is made up of the numbers 1 and 4.

 

The number 0.5 is another example of a decimal. The 0 is the whole number part and the 5 is the fractional part. The fractional part is just the number 5.

 

You can write decimals as fractions. For example, the decimal 3.14 can be written as the fraction 314/100. The decimal 0.5 can be written as the fraction ½.

Formula:

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A decimal fraction is a fraction where the denominator (bottom number) is a power of 10. The decimal point moves to the right with each increase in the power of 10.

 

For example, the decimal fraction 1/10 can be written as 0.1. The decimal point is moved one place to the right because the denominator is 10 (10 = 10^1).

 

The decimal fraction 1/100 can be written as 0.01. The decimal point is moved two places to the right because the denominator is 100 (100 = 10^2).

 

The decimal fraction 1/1000 can be written as 0.001. The decimal point is moved three places to the right because the denominator is 1000 (1000 = 10^3).

 

To convert a decimal fraction to a regular fraction, count the number of decimal places. This is the power of 10 that will be the denominator. The numerator will be the number with the decimal point removed.

Assuming you would like a blog discussing decimal fractions and related aptitude questions:

 

Decimal fractions represent a part of a whole number, where the whole number is equal to 1. They are written using a decimal point followed by a number, which represents a fraction of the whole number. For example, the decimal fraction 0.5 represents a number that is half of the whole number 1.

 

Aptitude questions related to decimal fractions often ask you to convert a decimal fraction to a percentage or vice versa. To convert a decimal fraction to a percentage, simply multiply it by 100. For example, the decimal fraction 0.5 can be converted to a percentage by multiplying it by 100, which results in the percentage 50%.

 

To convert a percentage to a decimal fraction, divide it by 100. For example, the percentage 50% can be converted to a decimal fraction by dividing it by 100, which results in the decimal fraction 0.5.

What is 0.03 + 0.09?

 

In order to answer this question, we need to understand what each digit in the decimal represents. In this case, the 3 in 0.03 represents 3 tenths, and the 9 in 0.09 represents 9 hundredths. To find the sum of these two numbers, we need to add the 3 tenths and 9 hundredths together, which gives us a total of 12 hundredths. Therefore, the correct answer to the question is 0.12.

 

Now let's try another example:

 

What is 0.47 - 0.19?

 

Again, we need to start