Quantitative Aptitude is an important paper in banking exam. One cannot ignore it. So it is the most important to a candidate to improve the math’s skills for competitive exams. Most of the candidates feel that it’s a more time taking paper in exam but by following some guidelines, candidates can easily crack the exam. Competitive exams are setting with time binding. Everyone can do all maths without time binding but the main challenges are came into with in time. So candidates should mainly focus on speed and accuracy. That is possible in their hard working and Dedication. The article provides Quantitative Aptitude Math Shortcut Tricks.

1. How to find the last 2 digits of a square of a number ([latex]a^{2}[/latex])?
Memorize the following table of squares from 1 to 25:

1) Find the last two digits of [latex]41^{2}[/latex].
Solution: Here a = 41.
Step 1: Calculate 50 - a. So, 50 - 41 = 9.
Step 2: The last two digits of [latex]a^{2}[/latex] is equal to last two digits of [latex](50 - a)^{2}[/latex]. So, the last two digits of [latex]41^{2}[/latex] is equal to last two digits of [latex]9^{2}[/latex]. The answer is 81.
2) Find the last two digits of [latex]87^{2}[/latex].
Solution: Here a = 87.
Step 1: Calculate 100 - a. So, 100 - 87 = 13.
Step 2: The last two digits of [latex]a^{2}[/latex] is equal to last two digits of [latex](100 - a)^{2}[/latex]. So, the last two digits of [latex]87^{2}[/latex] is equal to last two digits of [latex]13^{2}[/latex]. The answer is 69.
3) Find the last two digits of [latex]65^{2}[/latex].
Solution: Here a = 65.
Step 1: Calculate a - 50. So, 65 - 50 = 15.
Step 2: The last two digits of [latex]a^{2}[/latex] is equal to last two digits of [latex](a - 50)^{2}[/latex]. So, the last two digits of [latex]65^{2}[/latex] is equal to last two digits of [latex]15^{2}[/latex]. The answer is 25.
4) Find the last two digits of [latex]121^{2}[/latex].
Solution: Here a = 121. The last two digits of a is 21. So, the last two digits of [latex]121^{2}[/latex] is equal to last two digits of [latex]21^{2}[/latex]. The answer is 41.
5) Find the last two digits of [latex]165^{2}[/latex].
Solution: Here a = 165. The last two digits of a is 65. Calculate 65 - a. So, 65 - 50 = 15. Then, the last two digits of [latex]165^{2}[/latex] is equal to last two digits of [latex]15^{2}[/latex]. The answer is 25.
6) Find the last two digits of [latex]1456189^{2}[/latex].
Solution: Here a = 1456165. The last two digits of a is 89. Calculate 100 - 89. So, 65 - 50 = 11. Then, the last two digits of [latex]1456189^{2}[/latex] is equal to last two digits of [latex]11^{2}[/latex]. The answer is 21.

1. Find the last two digits of ([latex]45234^{2}[/latex]).
2. Find the last two digits of ([latex]99^{2}[/latex]).
3. What are the last two digits of ([latex]12488899^{2}[/latex])?
4. Find the last two digits of ([latex]5557^{2}[/latex]).
5. Find the last two digits of ([latex]478^{2}[/latex]).
Answers:
1. 56
2. 01
3. 01
4. 49
5. 84