Question 73

The average of six numbers $$N_1, N_2, N_3, N_4, N_5 and N_6$$ is A. 5 is subtracted from each number. What is the new average?

Solution

Given, $$\dfrac{N_1+N_2+N_3+N_4+N_5+N_6}{6} = A$$

=> $$N_1+N_2+N_3+N_4+N_5+N_6 = 6A$$ -- (1)
Then, $$\dfrac{N_1-5+N_2-5+N_3-5+N_4-5+N_5-5+N_6-5}{6} = \dfrac{N_1+N_2+N_3+N_4+N_5+N_6-30}{6}$$

Substituting (1),
$$\dfrac{6A-30}{6} = A-5$$

Create a FREE account and get:

Free SSC Study Material - 18000 Questions
230+ SSC previous papers with solutions PDF
100+ SSC Online Tests for Free

CAT Quant Questions | CAT Quantitative Ability

CAT Time Speed Distance Questions CAT Averages Questions CAT Time, Distance and Work Questions CAT Data Sufficiency Questions CAT Linear Equations Questions

CAT DILR Questions | LRDI Questions For CAT

CAT Puzzles Questions CAT Miscellaneous LR Questions CAT DI with connected data sets Questions CAT DI Miscellaneous Questions CAT Data change over a period Questions

CAT Verbal Ability Questions | VARC Questions For CAT

CAT Para Jumbles Questions CAT Para Summary Questions CAT Grammar and Sentence Correction Questions CAT Miscellaneous Questions CAT Critical Reasoning Questions

SSC GD 11th Feb 2019 Shift-3

The average of six numbers $$N_1, N_2, N_3, N_4, N_5 and N_6$$ is A. 5 is subtracted from each number. What is the new average?

CAT Quant Questions | CAT Quantitative Ability

CAT DILR Questions | LRDI Questions For CAT

CAT Verbal Ability Questions | VARC Questions For CAT

Free DILR Questions

Login to your Cracku account

Hello! 👋

Ready to Unlock Your Success?

Please Enter Your OTP

Please enter the following details

Create a free Cracku account