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Here is another post on basic quantitative aptitude techniques, particularly concerning shortcut techniques in integer addition Some of these are very easy to follow, still if you are not able to get something, please use the comments box to start the discussion on that particular topic.
Trick 1 : Adding Consecutive Numbers
Any set of consecutive numbers can be added by this simple relation-
Sum = (Last Number – First Number + 1) * (First Number + Last Number)/2
For example, you need to add numbers from 30 to 40, then…
Using the above relation, we get, Sum = (40-30+1) * (40+30)/2 = 11*70/2 = 385
Trick 2 : Sum of Odd numbers from 1 to n
This one is very easy. Sum of odd numbers from 1 to n is ((n+1)/2)2.
For example, 1+3+5+7+9+11+13+15+17+19+21 = ((21+1)/2)2 = 112
Trick 3 : Sum of Even numbers from 2 to n
To find this, use this relation-
Sum = (n/2)*((n/2)+1)
For example, to find sum up to 100, use this relation-
Sum = (100/2) * ((100/2)+1) = 50 * 51 = 2550
However these tricks are pretty obvious and very small, but when used in competitive exams like CAT and UPSC, these can be valuable resource in reducing the time required per question.
Check out a few more related posts here-
- Quantitative Aptitude Techniques
- Syllogism Cheat Sheet
So, as I was preparing for Java for a while, I thought it would be better to get certified by the developers of Java. So, I’ve decided to get certified with Oracle’s latest Java Certification Exam, starting with Oracle Certified Java Associate level exam. The information that I got to know about this exam so far is that this exam is conducted at Pearson Testing Center and costs about Rs 9000 including taxes. Anyone, who is serious about Java should take this exam, as it would give them a confidence over their programming skill.
If you are interested in giving this exam, you can see some sample questions and the syllabus of this exam at this link-Download
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