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(#M40012124) TCS question Keep an EYE

A calculator has a key for squaring and one for inverting. So if x is the displayed number, then pressing the square key will replace x by x2 and pressing the invert key will replace x by 1/x. If initially the number displayed is 6 and one alternately presses the invert and square key 16 times each, then the final number displayed (assuming no roundoff or overflow errors) will be
•
• 6 -(216)
•
• 6((-2)16)
•
• 6 -32
•
• 632
•
• 6((-1)1632)

Asked In TCS vaibhav sharma (12 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

Manish tiwari  (12 years ago)

there are 16 rounds each containing (square and invert alternatively)
1st round 6--> 6^2 to i/6^2
2nd round 1/6^2--> 1/6^4 to 6^4
3rd round 6^(2^2)--> 6^(2^3) to 1/6^(2^3)
.
16th round 1/6(2^15)--> 1/6^(2^16)to 6^(2^16)
ANS-6^(2^16)

Is this solution Helpfull? Yes (25) | No (13)  

goldy  (12 years ago)

@NIK
u have 6
nowI
S
I
S
I
S
.
.
.
.
THUS AFTER 6 the 4th term is (6)^4
8th term is (6)16
12th term is (6)64
.
.
.
.thus 32th term is (6)65536=(6)^(2)^216

Is this solution Helpfull? Yes (8) | No (2)  

vinod kumar  (12 years ago)

manish let us take first invert is pressed then ans is 3rd option

Is this solution Helpfull? Yes (5) | No   

lavanya ayyalasomayajula  (12 years ago)

the solution is 6^((-2)^16)
first i and s gives 6^((-2)^1) i.e (1/6)^2
second i and s gives (1/6)^4
third (1/6)^8 (1/6)^(2^3)
....
like this 16 i and s will give (1/6)^(2^16) which is 6^((-2)^16)

Is this solution Helpfull? Yes (4) | No   

goldy  (12 years ago)

ANSWER WILL BE (6)^(2)^(216)

Is this solution Helpfull? Yes (2) | No   

Maitrayee das  (10 years ago)

Even number of inverse key has no effect on the number. thats why we have to consider the square.
By pressing the square key, the value got increased like 2, 4, 8, .... Which are in the format of 2^n. So after the 16 pressings the power becomes 2^16
So the final number will be 6^2^16=6^65536

Is this solution Helpfull? Yes (2) | No   

nik  (12 years ago)

@goldy-how???

Is this solution Helpfull? Yes (1) | No   

abira roy  (12 years ago)

MANISH u its given n th question tht round contains pressing alternatively invert and square key .but u solved it by square and invert key alternatively.plz explain this

Is this solution Helpfull? Yes (1) | No   

Anjali Kaushik  (12 years ago)

ans wil b
6^256

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RAHUL KUMAR  (12 years ago)

what will be the correct option

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goldy  (12 years ago)

sorry for the previous delimma
answer is (6)^65536
0r (6)^(2)^216

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niki  (12 years ago)

i think answer is 6((-1)1632)

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surajit  (12 years ago)

6((-2)16) is the ans.....
bcoz it is coming 6^65536= 6((-2)16)............

Is this solution Helpfull? Yes | No (1)  

sudeepthi  (9 years ago)

ans will 3rd option as first we will invert and then sqare. so ans is 6^32

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