Problems on Numbers with Solutions

The basic problem with us is, we all are get used to the simple life. We want things appear to be simpler. If we find the question like what will be the value of (2/3)*(1/5)*(3/7)*5, we just solve it in a fraction of seconds. But if we come across the questions like what will be the two third of one fifth of three seventh of five then we just skip to the next question. Where is problem? The problem is with our mindset. All of us keep on telling our minds that these questions are hard. But trust me guys, these are very simple problems to solve. All that you have to do is, to just put your mind on the problem. Here, with this post we are giving you some problems that appears to be harder at first glance but really very simple to solve. These are very important for any competitive exam. All the best and Happy Reading :)

Mixture and Alligation Shortcuts

Friends, today we shall discuss about an important concept for Banking and Other Competitive Exams - Mixture and Alligation. Usually people leave this section because its little confusing. But trust us friends, we will make it easier for you. Lets start with the basics...

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Speed Improvement Test - Day 8

Recommended Time : 15 Mins

First to these tests? Start the tests from Day 1

Percentages

1. 55.55% of 468 = ?
2. 15.88% of 510 = ?
3. 34.09 % of 792 = ?
4. What percentage of 933 is 588 ?
5. By what percentage is 412 more than 322 ?

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Key - Speed Improvement Test - Day 8

Recommended Time : 15 Mins

<< Read Questions Here

Percentages

1. 55.55% of 468 = 260
2. 15.88% of 510 = 80.988
3. 34.09 % of 792 = 270
4. What percentage of 933 is 588 = 63%
5. By what percentage is 412 more than 322 = 27.95%

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Squares, Square Roots and Cube Roots Shortcuts Free Download

Friends, we have already given shortcut methods for finding Squares and Cubes. You can read those shortcuts Here. In today's post we are going to give you some traditional techniques to find the Squares, Square Roots and Cube Roots of the given numbers. That too in pdf format. So that you can download this pdf version and read when ever you are free. Just understand the concept well and try to solve all the 35 problems given there. And latter check with the key given at the last page. Hope you will like this post. If you like this post... and want more, you can download some more pdf materials Here. We are presently working on even more easiest ways to find Square Roots and Cube Roots of the given numbers. You can get those posts within a week. Please like our Facebook page here for frequent updates of the shortcuts via Facebook. Good day and Happy Reading.

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Speed Improvement Test - Day 7

Recommended Time : 15 Mins

<< Start the tests from Day 1

Percentages

1. 17.42% of 264 = ?
2. 28375% of 480 = ?
3. 34% of 4500 = ?
4. What percentage of 872 is 1168 ?
5. By what percentage is 445 more than 160 ?

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Key - Speed Improvement Test - Day 7

Recommended Time : 15 Mins

<< Read Questions Here

Percentages

1. 45.9888
2. 138
3. 1530
4. 133.9%
5. 178.12%

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Math Tables in Audio (Mp3) format

First time in the history, Guide4BankExams is proudly presenting Math tables in audio (Mp3) format. The concept behind this post is very simple. Its an open secret that most of us don’t know the answer of “What is Seventeen eights are!!!”. Ofcourse we do have some techniques to calculate the answer in our minds, but my question is “Why to waste those few seconds during the time of exam???”. We are posting the tables in audio format because It has been known for years that our brains can continue to take in and learn new information even while we are asleep. So why not use this to help those people who have great difficulty in learning their 'times tables'. These  files are numbered the same as the tables. i.e. the Ten’s times table is track 10; the Thirteen’s times table is track 13 etc. The tables cover the numbers from 1 to 20! You can use the files in two different ways : 

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Data Interpretation

Data Interpretation,  the one of the easiest, time taking and scoring topic of the Bank Exams.  Everybody knows this fact... but people pay less attention on this area. But unfortunately in SBI PO Exam, the complete aptitude section will depend on Data Interpretation. So you should concentrate more on this area.

In this post, we shall discuss about the basics Data Interpretation.  The Data Interpretation is also called as comprehension of mathematics. Because, in reading comprehension, we have to study the passage and answer the questions followed by that passage. In the same way, in Data Interpretation, some data is given in the form of graphs, charts and tables followed by questions. We have to study, understand and analyze the data to solve the questions. Here we have to keep in mind that, even a 10th standard boy can solve these problems. But you've to solve these problems IN TIME.

So you have to practice well so that you can do the small calculations (like additions, subtractions, and simple multiplications) with a glance (see here for shortcuts in mental maths). Now lets have a look at some basic details of Data Interpretations.

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Tables

All of us know what the TABLE is.... Here the Data is given in the form of rows and columns. A row is a series of cells going horizontally across the table.  A column is a series of cells going vertically or up and down the table. We have to analyze these rows and columns and should answer the questions according to them. Lets have a look at an example.  The following table gives the data of the number of computers produced by five companies namely P, Q, R, S and T over the years 2004 to 2009 (the production is in Thousands).

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Pie Chart

You might have observed the Pie Charts while reading about Budget.The pie chart is a circular chart which is sectors. In a pie chart, the arc length of each sector (and consequently its central angle and area), is proportional to the quantity it represents. As we've already said, these charts are more useful while showing the percentages and ratios. Lets discuss these type of problems with an example. The following Pie - Chart shows the different colors of cars using by the 7200 people of a town. 

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Line Graphs

The line graph is another important type of graph. The line graph displays information as a series of data points connected by some straight line segments (or simply lines). You can simply say that the Line Graph is the graph which uses points connected by lines to show how something changes in value. Lets have a look at an example Line Graph so that we can understand the topic in detail.

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Subdivided / Component Bar Diagrams

The Sub Divided / Component bar diagrams are used to represent data in which the total magnitude (bar) is divided into different parts or components. In these type of diagrams, first they make simple bars for each class taking total magnitude in that class and then divide these simple bars into parts in the ratio of various components. With an example we shall try to understand the Concept. 

Assume that you have to give the data of the production of vehicles of 3 companies (name them P, Q and R) over the years 1994 to 2000. 

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Multiple Bar Diagram

This model is also same as the simple Bar Diagram. But the difference is, here we have to encounter more than one bar... I mean, we have to do problems with two or more vertical or horizontal bars. In these type of diagrams normally they will give the information of two different organizations (like the production of soaps of two different companies) or the information of two different items of the same organization (like the production of the soaps and shampoos of the same company) and asks questions on the given data. Have a look at an example.

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Bar Diagrams

The Bar Diagram is the basic model of the Data Interpretation Problems. The bar diagram is a two dimensional graphic representation where the elementary graphic objects are a set of rectangles or bars drawn in parallel so that the extension of the same is proportional to the magnitude they intend to represent. 

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Shortcut for finding Cubes

Attention Friends... we've came to know that this method is not working for some numbers... So presently we are working on more efficient method than this... We advise you to avoid this method....

In our last posts we've discussed the method of finding Squares (read that post Here). In this post we shall discuss the method of finding cubes. This is very easy and simple method. You just have to put little concentration while learning and should do little practice so that you can do the process in a easy way mentally. And another thing you should keep in mind is, we are posting the step by stem inorder to make you understand the process in detail, but you SHOULD do most of these steps MENTALLY and only should put some important final results on paper. Now lets have a look at the method. In earlier method of finding squares we'd discussed finding the squares with the formula (a+b)², here we shall use the formula (a+b)³. 

Lets start with an example. Assume that you should find out the cube of 18. The general process is multiplying 18 to itself for 2 times (18 x 18 x 18). This process is time consuming and often people end up with the wrong answer caused by confusion and hurry. 

Ok, now lets use our method. here you should use the formula  (a+b)³ = a³ +b³+ 3a²b +3ab². But here you should be little tricky. Have a look.........

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Simple Method for Calculating Shortcut for Square - Part 2

We've already seen how to find the squares of numbers which are one more than those whose squares we already know (eg 25, 30, 35 etc).Read that post Here. Similarly, we can find the squares of numbers which are one less than the numbers whose squares are known already to us. For Example,

292 = 30 - 30th odd number = 900 - 59 = 841

392 = 40 - 40th odd number = 1600 - 79 = 1521

342 = 1225 - 69 = 1156

542 = 3025 - 109 = 2916

742 = 5625 - 149 = 5476

942 = 9025 - 189 = 8836

2142 = 46225 - 429 = 45796

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Shortcut for Square - A Simple Method

We have already discussed a method for finding the squares of the given number (check that method Here). Now we shall discuss another simplest method to calculate square of the given number. First of all one thing you should keep in mind, for you r convinience we've mentioned each and every step in detail. But You should do all these calculations MENTALLY. I mean without using pen or pencil. So practice well to do these problems orally. Now lets go to the topic, Finding the square of a number ending in 5 is very simple. If the last digit of the number is 5, then the last two digits of the square will be 25.What ever is the earlier part of the number multiply it with one more than itself and that will be the first part of the answer. (The second part of the answer will be 25 only).

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Shortcut for Multiplication (Base Number Method Part 2)

We've already discussed about the Shortcut Method (Base Number Method) for doing multiplications. In the earlier post we've discussed doing the multiplication by taking the base as 100 (Click Here to read that). I mean, you can do the multiplication for the numbers nearer to the 100. Then what about the remaining numbers? Well, being the Guide 4 Bank Exams we have solutions for all Banking Problems... So, lets have a look at some more approaches of the Base Number Method so that it will be easier for you to multiply any number with any number :)

Find the product of 117 and 88

117   --->   +17

  88   --->   -12

____         _____

105             -204           Ans : 10296

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Shortcut for Multiplication (Base Number Method)

We've already discussed some short cut tips for Multiplications. You can check that post Here. Now we shall discuss another  Simple and Useful method for Multiplication. In this method we take a base (according to the given numbers) and do the multiplication according to that base. Assume that you have to multiply 97 with 92. The power of 10 to which these two numbers are close is 100. We call this 100 as the base. Now write these two numbers with the difference from the base. 

97 ------>  -3  (because 97 is obtained as 100 - 3)

92 ------> -8 (because 92 is obtained as 100  -8)

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