Latest Elitmus Aptitude Question SOLUTION: what is the least value of n for which 99^n begins with 8. A) 11 b)10 c)9 d) such value not exist for any value for n

• Placement Papers
• /
• Elitmus
• /
• Numerical Ability
• /
• Number System

Elitmus Question Papers:

(#M40153875) ELITMUS Numerical Ability question Quantative Keep an EYE

what is the least value of n for which 99^n begins with 8.
A) 11
b)10
c)9
d) such value not exist for any value for n

Asked In Elitmus ANIL KUMAR (8 years ago)

Unsolved Read Solution (9)

Is this Puzzle helpful?   (7)   (2) Submit Your Solution Number System

Read Solution (9) :

Abhishek  (8 years ago)

99^1=99
99^2=9801
99^3=970299
99^4=96059601
notice one thing power is 1 number start with 99
power =2 then number start with 98
power =3 then number start with 97
and so on
power =4 then number start with 96
power =5 then number start with 95
power =6 then number start with 94
power =7 then number start with 93
power =8 then number start with 92
power =9 then number start with 91
power =10 then number start with 90
power =11 then number start with 89
so option A is correct

Is this solution Helpfull? Yes (57) | No   

saurabh kumar  (8 years ago)

99^11 begins with 8. N=8

Is this solution Helpfull? Yes (4) | No (1)  

Sonu Jafar  (8 years ago)

value of n would be 11
that start number will start from 8

Is this solution Helpfull? Yes (2) | No   

uday shankar  (8 years ago)

In a more traditional way, this problem can be solved like below.
99(100 - 1) = 9900-99= 9801
9801(100 - 1) = 980100-9801= 971299
971299(100 - 1) = 97129900 - 971299 = 96157601
.....
.....
Just observe the pattern, 98, 97, 96, .... for power of 2, 3, 4, .... So for 90 the power could be 10. So for 11, you get a number starts with 8. ans.(a)

Is this solution Helpfull? Yes (1) | No   

Deepak Gupta  (8 years ago)

9
n=11,12,13,14,15,16,17,18,19 (there will also b another values like 20,21... but it ask minimum )

Is this solution Helpfull? Yes | No (1)  

shweta pandey  (8 years ago)

such value not exit for any value of n

Is this solution Helpfull? Yes | No (4)  

abhilash chhipa  (8 years ago)

great answer @abhishek

Is this solution Helpfull? Yes | No   

Bushra  (8 years ago)

good explanation @ abhishek

Is this solution Helpfull? Yes | No   

Eniya  (8 years ago)

(A) 11 is the right answer because the starting digit is 8

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.