model 1 basic average questions Practice Questions Answers Test with Solutions & More Shortcuts

Question : 51

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

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

Question : 52 [SSC CGL Prelim 2007]

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 : 53 [SSC CGL Tier-II 2015]

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 : 54

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 : 55 [SSC CPO 2016]

The average of 25 results is 20. The average of first 12 results is 15 and that of the last 12 results is 18. Then, the 13th result is :

a) 104

b) 103

c) 101

d) 100

Answer: (a)

Value of 13th result

= 25 × 20 – 12 × 15 – 12 × 18

= 500 – 180 – 216 = 104

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