Maths tricks and shortcuts are the easiest and fastest ways in which you can solve mathematical problems in the upcoming Government exams. The quantitative aptitude or the numerical ability section are most commonly a part of all major tests and if a candidate can get shortcut tricks to solve this section quickly he or she may be able to score more overall in the examination.
1. Time & Work
Given below is a simpler way to find out the time taken to complete a piece of work done by three people, when working together:
Example: Three labourers, Ajit, Sumit & Ramesh take 10, 8 and 20 days respectively to complete the same piece of work. How long will it take for all three of them if they work together?
Solution:
LCM of 10, 8 and 20 = 40
Efficiency of Ajit = 40/10 = 4
Efficiency of Sumit = 40/8 = 5
Efficiency of Ramesh = 40/20 = 2
Time Taken by all three together = {(LCM) / (Efficiency of all three)} = 40/11 days
So to calculate the time taken to complete the same work by 3 people = (Total Unit of Work) / Efficiency of all the works)
2. Approximation
Simple multiplication is something that consumes maximum of our time while solving maths questions in competitive exams. Given below is a shortcut to multiply two numbers which may help you in questions related to approximation and simplification.
Example: Solve 32 × 34
Step 1: Multiply the first number (in this case, 32) with the digit at ten’s place in second number (in this case, 3)
We get, 32×3 = 96
Step 2: Add a “0” to the answer obtained in step 1. So the number now becomes “960”
Step 3: Multiply 32 with the one’s digit in the second number, we get, 32×4 = 128
Step 4: Add the result obtained in step 2 & step 3.
So answer is 960 + 128 = 1088
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