Aptitude Shortcuts and Tricks for Average Problems

Aptitude Shortcuts and Tricks for Average Problems:

Aptitude Shortcut methods and tricks for Average calculation model was given below. Candidates those who are preparing for Competitive Exams can use this shortcut.

Model Question:-

Average age of 20 students is 16. When the teacher joins the class then the average increases by 1. Then what is the teacher’s age?

Normal Solutions:
[No. of students × Average Age] – [No. of Students (including teacher) × Average Age (Including Teacher)]= Answer.

Here,
20×16= 320
21×17= 357,
357-320= 37.
Answer is 37.

For this it will take hardly 20 to 25 seconds. But using the below Shortcut trick you can solve this problem within 3 seconds.

Shortcut Method:
No. of Students + Average Age + 1 (denotes the teacher)= Answer
= 20+16+1
Answer is 37.

Examples:

1. Average age of 15 students is 12. When the teacher joins the class then the average increases by 1. Then what is the teacher’s age?
Solution:
15×12= 180
16×13= 208
Then,  208-180= 28.
Answer is 28.

Shortcut Trick:
15+12+1= 28.

2. Average age of 32 students is 25. When the teacher joins the class then the average increases by 1. Then what is the teacher’s age?
Solution:
32×25= 800
33×26= 858
Then, 800-858= 58.
Answer is 58.

Shortcut Trick:
32+25+1= 58.

Note: This Trick works only for the problems in above format.

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