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In a certain number system 363 + 1056 = 1452. Find the value of (654 - 456) in the same number system?

a) 156

b) 165

c) 178

d) 198

Value of 363+1056 in o

Value of 363+1056 in our number system=1419

Value of 363+1056 in the given number system=1452

Their difference=1452-1419=33 (means that 33 was added to it's origional value)

So,by this we cay say, when a number is added to the other, then 33 is added to it in the number system and 33 is subracted from their difference in vice versa.

And thus 654-456=(654-456)-33=165

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View Full Answer

Real value of 363+1069=1419

In the given number system, 363+1056=1452=
(363)7 + (1056)7 = (1452)7
Therefore:-
(654)7 – (456)7 = (165)7

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 Hope it helps, answer is option (b).

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 Abhijeet this is the solution given by fiitjee for nsejs

please give your answer i was not able to understand fiitjee solution thats why i posted it on merit :)

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 I'm not sure, Prakhar, but I think that this is the right answer.

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Value of 363+1056 in our number system=1419

Value of 363+1056 in the given number system=1452
Their difference=1452-1419=33 (means that 33 was added to it 's origional value)
So,by this we cay say, when a number is added to the other, then 33 is added to it in the number system and 33 is subracted from their difference in vice versa.
And thus 654-456=(654-456)-33=165
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 I FEEL THAT THE ANSWER IS -

(D)198

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Visaj, 198 will be the value in our number system.We had to find it's value in the given number system.

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