Model 1 Basic Average Questions Practice Questions Answers Test With Solutions & More Shortcuts

Question : 46 [SSC Constable2012]

A man bought 13 articles at Rs.70 each, 15 at Rs.60 each and 12 at Rs.65 each. The average price per article is

a) Rs.65.75

b) Rs.62.25

c) Rs.64.75

d) Rs.60.25

Answer: (c)

Using Rule 2,

If the given observations (x) are occuring with certain frequency (A) then,

$Average = {A_1x_1+A_2x_2+...............+A_nx_n}/{x_1+x_2+......+x_n}$

where, $A_1, A_2, A_3, .......... A_n$ are frequencies

Required average price

= ${13×70+15×60+12×65}/{13+15+12}$

= ${910+900+780}/40$ =$2590/40$

= Rs.64.75

Question : 47 [SSC CGL Tier-II 2016]

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 of B is :

a) 29.5 kg.

b) 35 kg.

c) 32 kg.

d) 31 kg.

Answer: (d)

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

= (40 × 2 + 2 × 43 – 45 × 3) kg.

= (80 + 86 – 135) kg.

= 31 kg.

Question : 48 [FCI Assistant Grade-III 2012]

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

Question : 49 [SSC Constable2013]

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 : 50 [SSC CHSL 2010]

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

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