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Tips on Cracking Aptitude Questions Based on Averages

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Tips on Cracking Aptitude Questions Based on Averages

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  1. 3 TIPS on cracking Aptitude Questions on Averages

  2. Tip #1: If terms are in progression, the average is either the middle term or average of the two middle terms Question 1: Find the average of first 5 multiples of 3. Solution: Number of terms= 5= odd. Average= Middle term= 3rd term= 3x3= 9 Question 2: The heights of 6 students in a class are 5ft, 5.2ft, 5.4ft, 5.6ft, 5.8ft and 6ft respectively. What is their average height. Solution: Average= Average of middle terms = (5.4+5.6)/2 ft= 5.5ft.

  3. Tip #2: If a person travels same distances with different speeds, then the average speed is not the arithmetic mean but the harmonic mean. If a person covers a distance d first at x km/hr and then covers the same distance d at y km/hr, then the average speed is: = Total distance travelled/ Total time taken = 2d/ (d/x + d/y) = 2d/ [(yd + xd)/xy] = 2dxy/[d(x+y)] = 2xy/ x+y (Harmonic mean of x and y) Question: A travels 25km at 50 km/hr and then 25km again with 70km/hr. What is A’s average speed during the whole journey? Solution: Average speed for the whole journey = (2x50x70) / (50+70)= 58.3km/hr

  4. Tip #3: When dealing with problems where average changes by addition/ removal, create an equation of the form: New_total = Old_Total new_countold_count +/- Change in Average Question: The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. What is the weight of the teacher? Solution: (24 * 35 + Wteacher)/ 25 = 35 + 0.4 24 * 35 + Wteacher= 35 * 25 + 10 Wteacher= 35 + 10 = 45 kgs Question: When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students? Solution: Wremaining_students / 59 = (Wremaining_students+ 45) / 60 + 0.2 60 * Wremaining_students= (59 * Wremaining_students) + (59 * 45) + (59 *12) Wremaining_students / 59 = 45 + 12 = 57 kgs

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