model 1 basic average questions 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 : 4 boys and 3 girls spent Rs.120 on the average, of which boys spent Rs.150 on the average. Then the average amount spent by the girls is

(a) Rs.90

(b) Rs.100

(c) Rs.60

(d) Rs.80

The correct answers to the above question in:

Answer: (d)

Total expenditure = 120 × 7 = Rs. 840

Total expenditure of 4 boys = 150 × 4 =Rs. 600

Total expenditure of 3 girls = 840 – 600 = Rs. 240

∴ Their average expenditure

= $240/3$ = Rs. 80

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Read more simple average Based Quantitative Aptitude Questions and Answers

Question : 1

The average of 10 numbers is 7. If each number is multiplied by 12, then the average of the new set of numbers will be

a) 82

b) 84

c) 19

d) 7

Answer: (b)

If each number is multiplied by a certain number, then the average is also multiplied by that number.

∴ Required average =7×12 = 84

Question : 2

The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight (in kg) of B is

a) 31

b) 17

c) 26

d) 20

Answer: (a)

Weight of B = (A + B)’s weight + (B + C)’s weight – (A + B + C)’s weight

= 40 × 2 + 43 × 2 – 45 × 3

= 80 + 86 – 135

= 166 – 135 = 31 kg

Question : 3

The average of 100 numbers is 44. The average of these 100 numbers and 4 other new numbers is 50. The average of the four new numbers will be

a) 176

b) 24

c) 200

d) 800

Answer: (c)

Sum of 4 new numbers

= 50 ×104 – 100 × 44

= 5200 – 4400 = 800

∴ Average = $800/4$ = 200

Aliter : Using Rule 19,

Here, N = 100, T = 44

n = 4, y = 50 – 44 = 6

∴ Average of new numbers

= T+ $({N/n}+1)$

= 44+ $({100/4}+1) ×6$

= 44 + 26 × 6

= 44 + 156 = 200

Question : 4

12 kg of rice costing Rs.30 per kg is mixed with 8 kg of rice costing Rs.40 per kg.The average per kg price of mixed rice is

a) Rs.35

b) Rs.34

c) Rs.37

d) Rs.38

Answer: (b)

Total cost price of 20kg of mixed rice

Rs. (12 × 30 + 8 × 40) = Rs.680

∴ Average per kg price = $680/20$ = Rs.34

Aliter : Using Rule 2,

$x_1$ = 12, $A_1$ = 30

$x_2$ = 8, $A_2$ = 40

∴ Average = ${A_1x_1 + A_2x_2}/{x_1+x_2}$

${30×12+40×8}/{12+8}$

${360+320}/20$

= $680/20$

= Rs.34

Question : 5

The average of 8 numbers is 27. If each of the numbers is multiplied by 8, find the average of new set of numbers.

a) 316

b) 216

c) 938

d) 1128

Answer: (b)

If each item is multiplied by 8, their average gets multiplied by 8.

∴ Required average

= 8 × 27 = 216

Question : 6

The average weight of five persons sitting in a boat is 38 kg. The average weight of the boat and the persons sitting in the boat is 52kg. What is the weight of the boat ?

a) 232 kg

b) 242 kg

c) 122 kg

d) 228 kg

Answer: (c)

Weight of the boat

= 6 × 52 – 5 × 38

= 312 – 190 = 122 kg

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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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