The last period’s sales forecast was Rs 100 lakhs and demand was Rs 90 lakhs. What is the simple exponential smoothing sales forecast (in Rs lakhs) with alpha of 0.4 for the next period?

In a share market, three competitors Apollo groups, CCL products & Maruti Suzuki exist. Last year the sales of CCL products was 10% more than the sales of Apollo groups. This year both the firms Apollo groups & CCL products increased their sales by 20%. This year the sales of CCL products is five times the sales of Maruti Suzuki. How much were the sales of Maruti Suzuki last year is the total sales remained constant over the two years period?

A

25%

B

32%

C

38%

D

41%

E

None of these

Which one of the following is the correct sequence of various stages of operating cycle of a manufacturing company? 1. Raw material conversion period, work-in-progress conversion period, Finished goods conversion period, Receivables conversion period 2. Raw material conversion period, work-in-progress conversion period, Creditors payment period, Receivables conversion period 3. Creditor payment period. Raw material conversion period, Receivables conversion period, work-in- progress conversion period 4. Raw material conversion period, Finished goods conversion period, work-in- progress conversion period. Receivables conversion period

A

1

B

2

C

3

D

4

In simple exponential smoothing forecasting, to give higher weightage to recent demand information, the smoothing constant must be close to

A

-1

B

zero

C

0.5

D

0.75

E

1

Alpha, Beta and Gama went for a picnic at Jurassic Park, when they feel hungry they took out the stuff they brought. Alpha bought 6 sandwiches while Beta bought 4 and Gamma bought none. Both Alpha and Beta shared their sandwiches with Gamma such that each got the same amount. If Gamma paid a total amount of Rs. 10 to Alpha and Beta, how much of Rs. 10 should Alpha get ? (Assume that sandwiches and rupees can be split.)

A

8

B

6

C

3

D

None of these

If $${\text{tan }}\alpha = 2,$$ then the value of $$\frac{{{\text{cose}}{{\text{c}}^2}\alpha - {\text{se}}{{\text{c}}^2}\alpha }}{{{\text{cose}}{{\text{c}}^2}\alpha + se{c^2}\alpha }}$$ is?

A

$$ - \frac{5}{9}$$

B

$$\frac{3}{5}$$

C

$$ - \frac{3}{5}$$

D

$$\frac{{17}}{5}$$

The following are the criteria set by a Retail outlet for the selection of candidates for the post of Store In charge in a reputed mall. 1. The candidate must be a graduate in any stream with minimum of 50% marks. 2. The candidate must have Minimum of 5 years of Sales experience in Retail. 3. The age of the candidate should not be less than 25 years and more than 34 years as on 1st October, 2019. (a) If a candidate satisfies all the criteria except 2 as given above but has an MBA degree and has minimum of 2 years of work experience in sales, she/he must be sent to the General Manager, Recruitment for further interview. (b) If a candidate satisfies all the criteria except 3, but has more than 5 years experience as a Group Manager and above in Sales managing a team of sales executives, then she/he must be sent to the Regional Manager, Sales & Marketing, for further interview Based on the above criteria and conditions, analyze and decide which of the following course of action should be taken for the candidate whose description is provided below. Please note that you are not to assume anything other than the given information. Sujoy is a graduate with 55% marks and MBA through Correspondence. He was born on Sept 20, 1990. He has 1 year of work experience as a sales executive and 2 years of experience as a Group Manager, Sales. On the basis of the information as given above, which of the following decisions would be appropriate

A

The candidate is to be selected.

B

The case is to be referred to the General Manager, Recruitment

C

The candidate is not to be selected

D

The case is to be referred to the Regional Manager, Sales & Marketing, for further interview.

If the trend equation to forecast demand Y (in Rs lakhs) for the required month (t) is Y = 100 + 20t - 5t2. What is the seasonally adjusted demand forecast for month 3 for which the corresponding seasonal index is 1.25?

A

143.75

B

115

C

92

D

123.25

In time series analysis, what is the purpose of "smoothing" methods such as exponential smoothing?

A

To add noise to the data

B

To identify seasonality in the data

C

To remove random fluctuations

D

To identify trends in the data

A, B and C enter into a partnership. A initially invests Rs. 25 lakhs and adds another Rs. 10 lakhs after one year. B initially invests Rs. 35 lakhs and withdraws Rs. 10 lakhs after 2 years and C invests Rs. 30 lakhs. In what ratio should the profits be divided at the end of 3 years ?

A

10 : 10 : 9

B

20 : 20 :19

C

20 : 19 :18

D

None of these

A system in a normalized state $$\left| \psi \right\rangle = {c_1}\left| {{\alpha _1}} \right\rangle + {c_2}\left| {{\alpha _2}} \right\rangle $$ with $$\left| {{\alpha _1}} \right\rangle $$ and $$\left| {{\alpha _2}} \right\rangle $$ representing two different eigen states of the system requires that the constants c₁ and c₂ must satisfy the condition

A

$$\left| {{c_1}} \right| \cdot \left| {{c_2}} \right| = 1$$

B

$$\left| {{c_1}} \right| + \left| {{c_2}} \right| = 1$$

C

$${\left( {\left| {{c_1}} \right| + \left| {{c_2}} \right|} \right)^2} = 1$$

D

$${\left| {{c_1}} \right|^2} + {\left| {{c_2}} \right|^2} = 1$$

The last period’s sales forecast was Rs 100 lakhs and demand was Rs 90 lakhs. What is the simple exponential smoothing sales forecast (in Rs lakhs) with alpha of 0.4 for the next period?

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