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  • Directions for questions The famous Indian nuclear physicist, Padma Vibhusan Dr Raja Ramanna, while researching during India’s first nuclear bomb test -- Project l

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The famous Indian nuclear physicist, Padma Vibhusan Dr Raja Ramanna, while researching during India’s first nuclear bomb test -- Project ‘Smiling Buddha’, hit upon the secret of preparing a new radioactive material (Indianium X) using two secret compounds – compound Abra and compound Cadabra.

For preparing two kilograms of Indianium X, 880 gm of Abra and 540 gm of Cadabra were required. The preparation of the material happened only in batches of two kilograms and preparation of any batch of Indianium X could begin only if the quantity of secret compounds available were sufficient to prepare two kilograms of the material. Only when there was a shortfall in any secret compound because of which it was not possible to prepare the batch of Indianium X, that secret compound was purchased from the international market with the help of the Indian intelligence agency (RAW).

Dr Ramanna always noted down the details regarding the number of kilograms of Indianium X he prepared on each month and the type and quantity of secret compound he had to purchase, if any. Given below is an excerpt from his notes for the year 1970 :

Month of 1970 Jan Feb Mar Apr May Jun July Aug Sep Oct
Indianium X prepared (kg) 14 16 10 10 14 14 12 12 14 12

Abra purchased (kg)

 nil nil 10 nil 12 nil 16 nil nil 6
Cadabra purchased (kg) nil nil nil 8 nil 6 nil 8 nil nil

If the immediately next entry in Dr Raja Ramanna’s notes in Nov 1970 was "Prepared n kg of Indianium X", what was the maximum possible value of n in kilograms ?

 

Option: 1

8


Option: 2

6


Option: 3

4

 


Option: 4

2


Answers (1)

best_answer

 

We found out that the stock of Abra at the end of Oct 1970 is >/= 6.00 to < 6.16 kg,

and the stock of Cadabra at the end of 10th July is >/= 0.98 to < 1.04 kg.

 

To prepare a batch of 2 kg of Indianium X, 0.880 kg of Abra and 0.540 kg of Cadabra are required.

 

To prepare another 2 kg batch of Indianium X, Cadabra required will be (0.540*2) = 1.08 kg

But 1.08 kg is > 1.04 kg stock.

So Cadabra will fall short.

Hence maximum 2 kg of Indianium X can be prepared with the stock.

Hence, maximum possible value of n = 2 kg 

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mansi

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