model 6 find average of excluded number Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 9 EXERCISES

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The following question based on average topic of quantitative aptitude

Questions : If the mean of 4 observations is 20, when a constant 'Cโ€™ is added to each observation, the mean becomes 22. The value of C is :

(a) โ€“2

(b) 2

(c) 6

(d) 4

The correct answers to the above question in:

Answer: (b)

4C = 22 ร— 4 โ€“ 20 ร— 4 = 88 โ€“ 80 = 8

⇒ C = $8/4$ = 2

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Read more excluded numbers Based Quantitative Aptitude Questions and Answers

Question : 1

The average weight of 12 parcels is 1.8 kg. Addition of another new parcel reduces the average weight by 50 g. What is the weight of the new parcel ?

a) 1.10 kg

b) 1.15 kg

c) 1.50 kg

d) 1.01 kg

Answer: (b)

Total weight 12 parcels = 12 ร— 1.8 = 21.6 kg.

New average of 13 parcels = 1.8 โ€“ 0.05 = 1.75 kg.

Total weight of 13 parcels = 13 ร— 1.75 = 22.75 kg.

∴ Weight of new parcel = 22.75 โ€“ 21.6 = 1.15 kg.

Aliter : Using Rule 18,

( If in the group of N persons, a new person comes at the place of a person of 'Tโ€™ years, so that average age,

increases by 'tโ€™ years

Then, the age of the new person = T + N.t. )

Here, T = 1.8, N= (12 + 1) = 13, t = $50/1000$ = .05

Weight of new parcel = T โ€“ Nt

= 1.8 โ€“ 13 ร— 0.05

= 1.8 โ€“ 0.65 = 1.15 kg

Question : 2

The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is :

a) 27

b) 30

c) 25

d) 35

Answer: (d)

Total sum of five numbers = 27 ร— 5 = 135

Total sum of four numbers = 25 ร— 4 = 100

∴ Required number = 135 โ€“ 100 = 35

Question : 3

The average of 50 numbers is 38. If two numbers namely 45 and 55 are discarded, the average of the remaining numbers is :

a) 32.5

b) 37.5

c) 35

d) 36

Answer: (b)

Required average = ${38 ร— 50 โ€“ 45 โ€“ 55}/48$

= $1800/48$ = 37.5

Question : 4

The average of five numbers is 7. If three new numbers would be added, then the new average comes out to be 8.5. What is the average of those three new numbers?

a) 10.5

b) 11

c) 9

d) 11.5

Answer: (b)

Sum of three new numbers = 8 ร— 8.5 โ€“ 7 ร— 5

= 68 โ€“ 35 = 33

∴ Required average = $33/3$ = 11

Question : 5

The average of six numbers is 32. If each of the first three numbers is increased by 2 and each of the remaining three numbers is decreased by 4, then the new average is

a) 34

b) 31

c) 35

d) 30

Answer: (b)

Change = 2ร—3 โ€“ 3 ร— 4 = โ€“ 6

∴ New average = 32 -$6/6$ = 31

Question : 6

The average of marks of 28 students in Mathematics was 50; 8 students left the school, then this average increased by 5. What is the average of marks obtained by the students who left the school ?

a) 37.5

b) 42.5

c) 50.5

d) 45

Answer: (a)

Total marks of 28 students = 28ร— 50 = 1400

Total marks of 20 students = 20 ร— 55 = 1100

∴Total marks of 8 students = 1400 โ€“ 1100 = 300

∴ Average = $300/8$ = 37.5

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