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Simplification Technique

Solving these questions needs a good calculation speed and a logical approach. Generally these questions are easy and can be solved very fast using various shortcut techniques. Also, we need to keep in mind that sometime we should leave the some of the questions from this sections which require complex & large calculation.
 
Example-1
  1. 7.1
  2. 3.5
  3. 0.7
  4. 2.4
  5. None of these
Solution
Hence, Ans is (e)
 
Example-2
  1. None of these
Solution


Hence, Ans is (a).
 
Example-3
(9)3 × (6) ÷ (3)3 = ?
  1. 1012
  2. 984
  3. 972
  4. 984
  5. None of these
Solution
(9)3 × (6) ÷ (3)3 = ?

Hence, Ans is (e).
 
Example-4
Solution

1st see the last digit i.e., 7.
 
Then check for the no. whose cube’s last digit is 7. Here, 7 is obtained by cube of 3.
 
∴ Unit digit of our answer is 3.
 
Now, ignore the last 3 digits of 148877 i.e. (877) and check for .
 
Here x = 5 as cube of 5 is 125 which is less than 148. So, our no. is 53
 
Hence, answer is option (d).
 




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