TCS
Company
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)
Read Solution (Total 14)
-
- 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) - 12 years agoHelpfull: Yes(25) No(13)
- @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 - 12 years agoHelpfull: Yes(8) No(2)
- manish let us take first invert is pressed then ans is 3rd option
- 12 years agoHelpfull: Yes(5) No(0)
- 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) - 12 years agoHelpfull: Yes(4) No(0)
- ANSWER WILL BE (6)^(2)^(216)
- 12 years agoHelpfull: Yes(2) No(0)
- 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 - 9 years agoHelpfull: Yes(2) No(0)
- @goldy-how???
- 12 years agoHelpfull: Yes(1) No(0)
- 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
- 12 years agoHelpfull: Yes(1) No(0)
- ans wil b
6^256 - 12 years agoHelpfull: Yes(0) No(0)
- what will be the correct option
- 12 years agoHelpfull: Yes(0) No(0)
- sorry for the previous delimma
answer is (6)^65536
0r (6)^(2)^216 - 12 years agoHelpfull: Yes(0) No(0)
- i think answer is 6((-1)1632)
- 12 years agoHelpfull: Yes(0) No(0)
- 6((-2)16) is the ans.....
bcoz it is coming 6^65536= 6((-2)16)............ - 12 years agoHelpfull: Yes(0) No(1)
- ans will 3rd option as first we will invert and then sqare. so ans is 6^32
- 8 years agoHelpfull: Yes(0) No(0)
TCS Other Question