PE 1 - Average | Arithmetic - Average

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Answer the next 4 questions based on the information given below.

There are 2 classes having 20 and 25 students respectively having the average marks in an examination as 40 and 50 respectively. If the two classes are represented by A and B. It is given that

A ⟶ Highest score 44, Lowest score 36
B ⟶ Highest score 62, Lowest score 46

If 5 people are transferred from B to A and another independent set of 5 people are transferred back from A to B, then after this operation (Assume that the set transferred from B to A contains none from the set of students that came to B from A)

1. PE 1 - Average | Arithmetic - Average

What will happen to A’s average?

(a)
Increase if B’s average decreases
(b)
Increases
(c)
Decrease if B’s average increases
(d)
Cannot be determined

2. PE 1 - Average | Arithmetic - Average

What can be said about B’s average?

(a)
Decreases
(b)
Increases
(c)
May increase or decrease
(d)
Will increase only if B's average decreases

3. PE 1 - Average | Arithmetic - Average

At the end of the 2 steps mentioned above (in the directions) what could be the maximum value of the average of class B?

(a)
50.8
(b)
50
(c)
49.6
(d)
49.2

4. PE 1 - Average | Arithmetic - Average

At the end of the 2 steps mentioned above (in the directions) what could be the minimum value of the average of class B?

(a)
44.8
(b)
48.4
(c)
50
(d)
46

5. PE 1 - Average | Arithmetic - Average

A certain company employed 600 men and 400 women and the average wage was Rs. 2.55 per day. If a woman got 50 paise less than what a man got, then what were their daily wages?

(a)
Man - Rs. 3.00 and woman - Rs. 2.50
(b)
Man - Rs. 3.50 and woman - Rs. 3.00
(c)
Man - Rs. 2.75 and woman - Rs. 2.25
(d)
Man - Rs. 3.25 and woman - Rs. 2.75
(e)
Man - Rs. 2.25 and woman - Rs. 2.75

6. PE 1 - Average | Arithmetic - Average

A shipping clerk has five boxes of different but unknown weights, each weighing less than 100 kg. The clerk weighs the boxes in pairs. The weights obtained are 110, 112, 113, 114, 115, 116, 117, 118, 120 and 121 kg. What is the weight of the second heaviest box?

(a)
62 kgs
(b)
61 kgs
(c)
60 kgs
(d)
59 kgs

7. PE 1 - Average | Arithmetic - Average

An enterprise got a bonus and decided to share it in equal parts between the workers. Two more workers joined the enterprise. Hence, each of them got 2 rupees less. The administration had found the possibility to increase the total sum of the bonus by 80 rupees and as a result, each worker including the two new workers got 22 rupees. If the numbers of workers at any point of time were more than 10, how many total workers are there now?

(a)
15
(b)
18
(c)
20
(d)
16

8. PE 1 - Average | Arithmetic - Average

A publisher incurs a fixed expense of Rs. 1,00,000 towards composing and other activities in printing books. A variable cost of Rs. 12.5 per book is incurred towards paper, binding charges etc. What is the average cost per book if 80,000 copies are printed?

(a)
Rs. 13.25
(b)
Rs. 13.50
(c)
Rs. 13.75
(d)
Rs. 12.40
(e)
None of these

9. PE 1 - Average | Arithmetic - Average

If the average of 20 consecutive numbers, starting from x, is equal to the average of 30 consecutive numbers, starting from y, then x - y is equal to

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10. PE 1 - Average | Arithmetic - Average

If A(a₁, a₂, …a_n) = Average of (a₁, a₂, …, a_n) and A’_n = A(n, n²), then what is the value of A(A’₁, A’₂, …, A’_n), where n = 100?

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PE 1 - Average | Arithmetic - Average

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