CAT
Exam
The pages of a book are numbered 1 to n, where n is a natural number. The total number of times the digit 3 is used while printing all the page numbers is 184. What is the value of n?
Read Solution (Total 3)
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- n=430,(unit place 18+tenth place 2)
upto 1-100,digit 3 used 20 times,(unit place 18+tenth place 2)
upto 1-100,digit 3 used 20 times
upto 101-200,digit 3 used 20 times
upto 201-300,digit 3 used 21 times
upto 301-400,digit 3 used (99+20)119 times(hundred place 99+unit place 18+tenth place 2)
upto 401-430,digit 3 used 4 times
total = 184 times. - 12 years agoHelpfull: Yes(6) No(0)
- 180 ---- 3s are used from 1-400.
next 403,413,412 and 430 pages use four 3s. - 12 years agoHelpfull: Yes(3) No(1)
- 430 pages are there.
- 12 years agoHelpfull: Yes(1) No(1)
CAT Other Question
If the letters of the English alphabet, in the order A to Z, are made to represent 26 numbers which are in Arithmetic progression. The Sum of the numbers representing A, C and E is 36 while that of A, C, E and G is 60. What is the sum of the numbers representing B, D, F and H?
If p is a prime number and w, x, y, z are four natural numbers whose sum is less than p, then (w+x+y+z)^p-(w^p+x^p+y^p+z^p) is always divisible by
A)p-1 B)p^2 C)p D)p+1