model 4 find nth average from 1st & last number Section-Wise Topic Notes With Detailed Explanation And Example Questions

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The following question based on average topic of quantitative aptitude

Questions : The average temperature of the first 4 days of a week was 37°C and that of the last 4 days of the week was 41°C. If the average temperature of the whole week was 39°C, the temperature of the fourth day was

(a) 38.5°C

(b) 40°C

(c) 39°C

(d) 38°C

The correct answers to the above question in:

Answer: (c)

Using Rule 1,

M + T + W + TH = 4 × 37 = 148°C ........ (i)

TH + F + S + S = 4 × 41 = 164°C ........ (ii)

M + T +....+ S + S = 7 × 39 = 273°C ........ (iii)

∴ The temperature of the fourth day

= 148 + 164 – 273 = 39°C

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Read more find nth term Based Quantitative Aptitude Questions and Answers

Question : 1

The average of 15 numbers is 7. If the average of the first 8 numbers is 6.5 and the average of the last 8 numbers is 8.5, then the middle number is :

a) 23

b) 15

c) 13

d) 10

Answer: (b)

Middle i.e. eighth number

= 8 × 6.5 + 8 × 8.5 – 15 × 7

= 52 + 68 – 105

= 120 – 105 = 15

Question : 2

In a certain year, the average monthly income of a person was Rs.3,400. For the first eight months of the year, his average monthly income was Rs.3,160 and for the last five months, it was Rs.4,120. His income in the eighth month of the year was

a) Rs.5,080

b) Rs.5,520

c) Rs.15,520

d) Rs.3,160

Answer: (a)

Using Rule 1,

Person’s income in the eighth month

= Rs.(3160 × 8 + 5 × 4120 – 12 × 3400)

= Rs. (25280 + 20600 – 40800)

= Rs. 5080

Question : 3

The average of two numbers is 8 and the average of other three numbers is 3. The average of the five numbers is :

a) 3

b) 6

c) 5

d) 2

Answer: (c)

Average of five numbers

= ${2×8+3×3}/{2+3}$

= ${16+ 9}/5$ = $25/5$ = 5

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GET average PRACTICE TEST EXERCISES

model 1 basic average questions

model 2 average of consecutive numbers

model 3 twice, thrice, one third etc. of numbers

model 4 find nth average from 1st & last number

model 5 find new average from error

model 6 find average of excluded number

model 7 average on ages/weight

model 8 find monthly income

model 9 average on cricket/exam
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