PGDBA 2022 Question Paper | PGDBA DI

1. PGDBA 2022 Question Paper DI

   It is believed that job satisfaction is related to pay. A study was conducted where 400 respondents were asked about their monthly salary and level of job satisfaction. The data collected are given below.

   Salary (Rs./Month)	No. of Respondents with Level of Job		Total
   	Low	Medium
   ≤ 25000	20	30	70	120
   > 25000 but ≤ 50000	20	40	90	150
   > 50000	10	30	90	130
   Total	50	100	250	400

   A pair of respondents ( \(R 1, R 2\) ) with salary of \(R 1\) greater than salary of \(R 2\) and with job satisfaction of R1 greater than job satisfaction of R2 is called a concordant pair. Then the observed number of concordant pairs is

   1. \( 19200 \)
   2. \( 17800 \)
   3. \( 16400 \)
   4. \( 16000 \)

   Correct AnswerChoice C
   \( 16400 \)

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2. PGDBA 2022 Question Paper DI

   Cases filed in different courts may be pending (not yet processed to completion) or closed. The total number of cases pending from previous years, the total number of new cases filed this year and the total number of cases closed this year in different courts across four states are given below.

   State	Pending cases from Previous years	New cases filed this year	Cases closed this year
   S1	52753	17004	25252
   S2	1217	7005	3414
   S3	117328	32766	23722
   S4	12876	2251	3731

   Assuming that the total number of cases filed and getting closed remain approximately the same over the years, which states are likely to see a decrease in the total number of pending cases next year?

   1. \( \mathrm { S } 1 , \mathrm {~S} 3 \)
   2. \( \mathrm { S } 2 , \mathrm {~S} 4 \)
   3. \( \mathrm { S } 1 , \mathrm {~S} 4 \)
   4. \( \mathrm { S } 2 , \mathrm {~S} 3 \)

   Correct AnswerChoice C
   \( \mathrm { S } 1 , \mathrm {~S} 4 \)

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3. PGDBA 2022 Question Paper DI

   Customers calling up a call center often need to wait before being attended to. In order to study the waiting time of customers, data were collected on waiting times of 200 calls. The following is a graphical representation of the observed waiting times. Note that the bar marked \(a - b\) includes all waiting times \(t\) such that \(a \leq t \lt b\). A call is said to have waiting time 0 in case it is answered as soon as it is connected to the call center.
   
   The lowest possible value of the average of the observed waiting times is closest to

   1. \( 20.50 \)
   2. \( 20.00 \)
   3. \( 21.00 \)
   4. \( 22.75 \)

   Correct AnswerChoice D
   \( 22.75 \)

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4. PGDBA 2022 Question Paper DI

   A product can have at most 3 defects D1, D2 and D3. Suppose 1000 samples of the product are inspected and the number of samples with different combinations of defects are tabulated as follows:

   Sl. No.	Defects			Number of Samples
   	D1	D2	D3
   1	Yes	Yes	Yes	20
   2	Yes	Yes	No	50
   3	Yes	No	Yes	130
   4	Yes	No	No	200
   5	No	Yes	Yes	100
   6	No	Yes	No	50
   7	No	No	Yes	50
   8	No	No	No	400

   Which of the following statements is TRUE?

   1. The number of samples with exactly one defect is less than the number of samples with exactly two defects
   2. More than \( 2 \% \) of the samples have at least two defects
   3. The number of samples with exactly one defect is more than the number of samples with more than one defect
   4. The number of samples with at least one defect is less than the number of samples with no defects

   Correct AnswerChoice B
   More than \( 2 \% \) of the samples have at least two defects

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5. PGDBA 2022 Question Paper DI

   A city is divided into three regions \(P, Q\) and R. A survey was conducted in each of the regions to get an idea of the proportion of males and proportion of females who feel safe or unsafe. Accordingly, 250 males and 250 females were interviewed and the following were observed:

   Regions	Number of Males who		Number of Females who
   	Feel Safe	Feel Unsafe	Feel Safe	Feel Unsafe
   P	90	10	20	10
   Q	30	20	40	60
   R	80	20	60	60

   The three regions can be ordered based on the differences in the proportion of males and proportion of females feeling safe as:

   1. \( P > Q > R \)
   2. \( \mathrm { R } > \mathrm { P } > \mathrm { Q } \)
   3. \( R > Q > P \)
   4. \( Q > P > R \)

   Correct AnswerChoice B
   \( \mathrm { R } > \mathrm { P } > \mathrm { Q } \)

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