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  • Directions for question : The Enforcement Directorate (ED) of the Government of India had for a long time been keeping watch over the Education Minister of West Bengal in

Directions for question :

The Enforcement Directorate (ED) of the Government of India had for a long time been keeping watch over the Education Minister of West Bengal in Kolkata regarding a scam of recruitment of Staff Selection Commission candidates. 

The Director of ED, Mr Sanjay Kr Mishra (IRS), with the help of his department sleuths, had observed a very interesting trend in the activity of the Education Minister :

Once every day of a week, except Sunday, the personal assistant of the Education Minister took delivery of sealed envelopes of money from the minister personally at his office to deliver to the minister’s lady-friend at her residence. It was also known from a secret source that for two fixed days of a week he delivered a certain number of envelopes less than the previous day, and for three fixed days a week, he delivered the same number of envelopes (as mentioned in the previous line) more than the previous day. However, it was not possible to get information as to what those days were. This practice continued for exactly twenty-seven consecutive days from the first Monday of delivery. From high-definition telescopic photographs of the envelopes, it was surely concluded that each envelope held a hundred crisp two thousand rupee notes. It was also known from the secret source that every week the greatest and least number of envelopes that the personal assistant delivered was eighty and twenty respectively.

Mr Mishra took the help of a professional data interpreter to analyze the collected data and to provide the ED Department with an idea of the details and enormity of the scam. What would be the answers found out by the data-interpreter to the following questions asked to him by Mr Mishra ?

Question :

If all the probable scenarios of deliveries from the Education Minister’s office to the residence of his lady-friend, by the personal assistant of the minister, were to be considered, what could be the average amount of money that was delivered on Fridays ?

Option: 1

Rs 1.10 crores


Option: 2

Rs 2.50 crores


Option: 3

Rs 4.50 crores


Option: 4

Rs 5.40 crores


Answers (1)

best_answer

The data-interpreter had already deducted that :

Cases Count of Envelopes delivered
Mon Tues Wed Thurs Frid Sat Total in 6 days 
1 E (E-x) (E-x-x)=(E-2x) (E-2x+x)=(E-x) (E-x+x)=E (E+x) (6E-3x)
60 40 20 40 60 80 300
2 E (E-x) (E-x+x)=E (E-x) (E-x+x)=E (E+x) (6E-x)
50 20 50 20 50 80 270
3 E (E-x) (E-x+x)=E (E+x) (E+x-x)=E (E+x) (6E+x)
50 20 50 80 50 80 330
4 E (E-x) (E-x+x)=E (E+x) (E+x+x)=(E+2x) (E+2x-x)=(E+x) (6E+3x)
40 20 40 60 80 60 300
5 E (E+x) (E+x-x)=E (E-x) (E-x+x)=E (E+x) (6E+x)
50 80 50 20 50 80 330
6 E (E+x) (E+x-x)=E (E+x) (E+x-x)=E (E+x) (6E+3x)
20 80 20 80 20 80 300
7 E (E+x) (E+x-x)=E (E+x) (E+x+x)=(E+2x) (E+2x-x)=(E+x) (6E+3x)
20 50 20 50 80 50 270
8 E (E+x) (E+x+x)=(E+2x) (E+2x-x)=(E+x) (E+x+x)=(E+2x) (E+2x-x)=(E+x) (6E+5x)
20 50 80 50 20 50 270
9 E (E+x) (E+x+x)=(E+2x) (E+2x-x)=(E+x) (E+x+x)=(E+2x) (E+2x-x)=(E+x) (6E+7x)
20 50 80 50 80 50 330
10 E (E+x) (E+x+x)=(E+2x) (E+x+x)=(E+3x) (E+3x-x)=(E+2x) (E+2x-x)=(E+x) (6E+9x)
20 40 60 80 60 40 300

From the deductions made by the data interpreter, it could be seen that there are ten probable scenarios as tabulated by him.

The total number of envelopes that could be delivered on Fridays, if all the ten probable scenarios of deliveries from the Education Minister’s office to the residence of his lady-friend, by the personal assistant of the minister, were to be considered

= (60+50+50+80+50+20+80+20+80+60)

= 550

So, the average number of envelopes that could be delivered on Fridays, if all the ten probable scenarios of deliveries were to be considered = 550/10 = 55

From photographs of the envelopes, it was known that each envelope held hundred two thousand rupee notes, that is each envelope contained (100*2000) = Rs 2,00,000.

So, 55 envelopes would contain 200000*55 = Rs 1,10,00,000, that is, Rs 1.10 crores

Hence, the average amount of money that could be delivered on Fridays, if all the probable scenarios of deliveries from the Education Minister’s office to the residence of his lady-friend, by the personal assistant of the minister, were to be considered = Rs 1.10 crores

Posted by

himanshu.meshram

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