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29 Feb 2016, 12:37
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E
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Difficulty:
15%
(low)
Question Stats:
80% (01:41) correct
20%
(01:24)
wrong
based on 268
sessions
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A palindrome is a number that reads the same front-to-back as it does back-to-front (e.g. 202, 575, 1991, etc.) p is the smallest integer greater than 200 that is both a prime and a palindrome. What is the sum of the digits of p?
A) 3
B) 4
C) 5
D) 6
E) 7
A) 3
B) 4
C) 5
D) 6
E) 7
02 Mar 2016, 20:16
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Bunuel
HI,
The answer lies in the choices given without actualy looking/ carrying out any intensive calculations..
Info from Q--
1) the number is greater than 200, so it is atleast a 3-digit number..
solution
1) working on 3-digits number, the number cannot be in 200s, since all Palindromes in 200s will be even number and thus Non - Prime..
2) So, if its a 3-digit number and more than 300 now, the sum of digits in palindrome will atleast be 6.
3) only D and E are left..
4) In D, as the sum is multiple of 3, it is not prime..
5) the smallest/only 3-digit number with 7 as sum is 313..
6) check this for Prime..
ans E
Note-
Its very important we check for PRIMEability..
had 313 been not prime, we would have started checking 4-digits number
General Discussion
Anigr16
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29 Feb 2016, 13:01
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Ans E
313 is the smallest integer after 200
It cant start with 2 as being a palindrome, it should also end with 2 making it non-prime
the smallest number after that : 303 divisible by 3
next 313 which is prime!!
313 is the smallest integer after 200
It cant start with 2 as being a palindrome, it should also end with 2 making it non-prime
the smallest number after that : 303 divisible by 3
next 313 which is prime!!
