Current affairs or general awareness or general knowledge section is as important as any other section in almost all government job competitive examinations. To improve our overall awareness there are lots of options like internet, newspapers, magazines, etc. However, there are very few options for exam specific preparation.
The most striking part of this section is that there cannot be any prescribed format to prepare oneself for it. Fortunately, there are some wonderful books which can help you to sail through these competitive examinations. I am listing the most trusted books on current affairs and general awareness below.
Manorama Yearbook 2013 with Free Encylopaedia Britannica CD ROM – This best seller has a long history of success. It is India's best General knowledge update covering almost everything that a student needs in competitive examinations – Purchase Online
This is a guest post by one of the regular QuickerMaths.com follower Debasis Basak.
Remainder Theorem & its application
We have all learnt the Remainder Theorem in class 10 (now i am in 11) that when you divide a polynomial f(x) by x-c the remainder r will be f(c). Now let’s see how we can use this theorem in other situations.
Let’s consider the following Product: 65 x 32.
We want to find out what is the remainder when it is divided by a number say 7.
To solve such questions we just need find the individual remainders when the numbers are divided by the divisor.
Numbers never fail to surprise us. This post talks about one such amazing property of number 22.
Select any three-digit number with all digits different from one another. Write all possible two-digit numbers that can be formed from the three-digits selected earlier. Then divide their sum by the sum of the digits in the original three-digit number.
You’ll always get the same answer, 22. Isn’t this wonderful!
For example, take the three-digit number 786. The 2 digit-numbers which can be made using the digits 7, 8 and 6 are 78, 87, 76, 67, 86, 68. Hence sum = 78 + 87 + 76 + 67 + 86 + 68 = 462. Sum of digits of 786 = 7+8+6 = 21. Then 462/21 = 22
This will be true for any three-digit number with all digits different.
This article is about a number that has some truly exceptional properties. That number is 1089
Amazing property of 1089
Select a three digit number (where the units and hundreds digits are not the same) and follow these instructions:
Step 1: Choose any three-digit number (where the units and hundreds digits are not the same).
Let us randomly select the number 469
Step 2: Reverse the digits of the number you have selected
During our student life (school or post-school), search for useful knowledge resources for learning arithmetic, algebra, trigonometry or some other stream of mathematics is never ending. Here let us discuss few such online free sites, which can be very useful in learning maths. These resources available for free on internet can help us learn fundamentals of various basic to advanced level topics of mathematics. Some of these also provide online tests for practice and solutions to thousands of questions.
Khan Academy - According to me nothing on internet can beat the zeal of Mr. Salman Khan who has produced more than 3400 videos on diverse topic and has extensively covered Mathematics from basic to advanced level in his wonderful video lectures. Best part is all the lessons are absolutely free for everyone.
Wolfram Mathworld – it is a very extensive free mathematical resource from the makers of Mathematica. This is more apt for advanced level mathematics.
Merit Nation - For Indian school going kids up to K-12 level, this Naukri.com venture is a amazing gift. Ample amount of school level study material, Chapter-wise solutions to the questions of the NCERT textbooks are provided. Though this website is not completely free, the free portion is good enough to keep you engaged for substantial period of time. No need to buy guides for NCERT now.
LearnersTV – This is yet another wonderful site providing tons of free video and audio lectures, online tests, etc in many fields including Mathematics.
I am sure there will be many more brilliant such resources to learn mathematics online. If you know of any such resource, let us all know about it by posting a comment below
Questions on conversion of numbers in some base to some other base is very common in competitive examination. Here in this post I present a simple technique to help you do such conversions.
First, let us understand what do we mean by number bases or systems. In our decimal number system, the rightmost position represents the “ones” column, the next position represents the “tens” column, the next position represents “hundreds”, etc. Therefore, the number 123 represents 1 hundred and 2 tens and 3 ones, whereas the number 321 represents 3 hundreds and 2 tens and 1 one.
The values of each position correspond to powers of the base of the number system. So for our decimal number system, which uses base 10, the place values correspond to powers of 10:
... 1000 100 10 1
... 103 102 101 100
This time I thought of giving you the crux of the whole article at the very beginning. See the formulae above and you will know what I am talking about.
We live in the age of information, and we must read extensively if we intend to be successful in our studies, or careers. Schools and colleges have discovered that courses in reading skills give enormous aid to students struggling under the heavier loads of today's scholastic programs. Young men and women trained in speed reading show distinct advantages over those who lack this kind of skill. For any competitive examination preparation, Speed Reading is an essential requirement. It is not only a must have skill for reading comprehension and verbal ability section but for the entire paper. Most of the examinations test your accuracy as well as speed.
How fast you can be?
Reading speed has no known theoretical limit. A speed of between 800 and 1200 words per minute (wpm) can comfortably be reached by permanent speed readers, without any constant practice and drilling. Reading speed varies according to the complexity of the reading material, type, face, print quality, grammar, style etc.
How to Make Mathematics More Interesting?
Math can often times be one of the more boring subjects for children to learn when they are young, which can greatly affect their learning abilities later in life. A person may find math to be boring or difficult because they didn't develop an interest for it early in life. By finding ways to make math fun, children will be more inclined to learn and may actually enjoy the process.
Fun in the Kitchen
There are a ton of different ways to make mathematics fun, a lot of which start in the kitchen. Cooking is the perfect time to show kids that math can not only be useful but fun as well. The typical way to teach children fractions usually involves a pizza or a pie, but instead of explaining to them how fractions work, show them. Have your child be the chef for the day and tell them that they need to put different toppings on the pizza depending on the fraction. For example, tell them only 1/2 of the pizza should be plain, 1/4 should have pepperoni, and the other 1/4 should have sausage. By giving them a visual, it will enable them to understand fractions better. Fractions can also be taught using measuring spoons. Whether baking something or putting together a meal for dinner, measuring cups and spoons are another great visual for them to understand fractions. They will see that 1 cup is a lot bigger than 1/4 cup and that 1/3 cup is actually bigger than 1/4 cup.
This is a guest post by Sudeep Shukla
The statement- "When x is divided by z, it leaves y as the remainder." is represented in modular arithmetic as-
It can also be interpreted as "x and y leave the same remainder when divided by z." This is also known as the congruence relation and we can say that "x is congruent to y modulo z."
There is a property of this relation which is very useful.