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  • Directions for question : In this fictitious tale, the two legendary mathematicians and astronomers Aryabhatta and Varahamihira met at a dinner party hosted by King

Directions for question :

In this fictitious tale, the two legendary mathematicians and astronomers Aryabhatta and Varahamihira met at a dinner party hosted by King Chandragupta Vikramaditya at his palace in Pataliputra. 

Aryabhatta, the senior and more moody among the two, being slightly inebriated with the excellent ‘somras’ served by the king, and in a very good mood, suddenly said to Varahamihira -- ‘If distinct alphabets of the english language stand for distinct digits, then SATURN plus URANUS will be equal to JUPITER’!! 

Though initially puzzled by this sudden statement from Aryabhatta, Varahamihira quickly regained composure and solved the challenge thrown by Aryabhatta.

Question :

In sync with the thought process of Aryabhatta, what would be the crypto form of the result of the following on simplification :

\left [ \left \{ (RINSE + JEANS - RISE) \times UP\right \}/JUP + EAT + NUT \times SPIN -ARTIST\right ]

 

Option: 1

JUNIPER

 

 


Option: 2

 NIEJTRRS


Option: 3

 EPAAIIJS

 


Option: 4

RAPTRUA


Answers (1)

best_answer

We already know that the ten letters of the English alphabets Aryabhatta had used in his statement of SATURN + URANUS = JUPITER were in place of the following digits : 

A = 4,\\ E = 2, \\ I = 8, \\ J = 1, \\ N = 7, \\ P = 0, \\ R = 6, \\ S = 9, \\ T = 3, and \\ U = 5

Hence,
\begin{aligned} &\left [ \left \{ (RINSE + JEANS - RISE) \times UP\right \}/JUP + EAT + NUT \times SPIN -ARTIST\right ]\\ &= [{(68792 + 12479 - 6892)\times50}/150 + 243 + 753 \times 9087 - 463893]\\ &= [{74379\times50}/150 + 243 + 6842511 - 463893]\\ &= [24793 + 243 + 6842511 - 463893]\\ &= 6403654\\ &= RAPTRUA \end{aligned}

Posted by

Gaurav

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