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Question : 36 [SSC CGL Prelim 2007]

If the average weight of 6 students is 50 kg; that of 2 students is 51 kg; and that of other 2 students is 55 kg; then the average weight of all students is

a) 52 kg

b) 51.2 kg

c) 51.5 kg

d) 61 kg

Answer: (b)

Using Rule 10,

If the average of '$n_1$' numbers is $a_1$ and the average of '$n_2$' numbers is $a_2$, then average of total numbers $n_1$ and $n_2$ is

$Average = {n_1a_1 + n_2a_2}/{n_1 + n_2}$

Required average weight

$(50×6+51×2+55×2)/10$

= ${300+102+110}/10$ = $512/10$

= 51.2 kg

Question : 37 [SSC FCI 2013]

The average monthly salary of all the employees in an industry is Rs.12,000. The average salary of male employees is Rs.15,000 and that of female employees is Rs.8,000. What is the ratio of male employees to female employees ?

a) 4 : 3

b) 2 : 5

c) 3 : 4

d) 5 : 2

Answer: (a)

Male employees = x

Female employees = y

∴ (x + y) 12000 = x × 15000 + y × 8000

⇒ (x + y) × 12 = 15x + 8y

⇒ 12x + 12y = 15x + 8y

⇒ 3x = 4y

⇒ $x/y$ = $4/3$ ⇒ x : y = 4 : 3

Question : 38 [SSC CGL Tier-I 2016]

The average marks obtained by a class of 60 students is 65. The average marks of half of the students is found to be 85. The average marks of the remaining students is

a) 55

b) 65

c) 45

d) 35

Answer: (c)

Let average marks of remaining 30 students be x.

∴ 65 = ${30×85+30×x}/60$

⇒ 65 × 60 = 2550 + 30x

⇒ 3900 = 2550 + 30x

⇒ 30x = 3900 – 2550 = 1350

⇒ x = $1350/30$ = 45.

Question : 39

A librarian purchased 50 story– books for his library. But he saw that he could get14 more books by spending Rs. 76 more and the average price per book would be reduced by Re. 1. The average price (in Rs.) of each book he bought, was :

a) 25

b) 20

c) 10

d) 15

Answer: (c)

Let the average cost of each book bought (of 64 books) be Rs.x.

According to the question,

64 × x – 50(x + 1) = 76

⇒ 64x – 50x – 50 = 76

⇒ 14x = 76 + 50 = 126

⇒ x = $126/14$ = 9

∴ Required average price

= 9 + 1 = Rs. 10

Question : 40 [SSC CHSL 2010]

Total weekly emoluments of the workers of a factory is Rs.1534. Average weekly emolument of a worker is Rs.118. The number of workers in the factory is :

a) 13

b) 12

c) 14

d) 16

Answer: (a)

Using Rule 1,

Average of two or more numbers/quantities is called the mean of these numbers, which is given by

$\text"Average(A)" = \text"Sumof observation / quantities"/\text"No of observation / quantities"$

∴ S = A × n

Number of workers in the factory = $1534/118$ = 13

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