Latest TCS Aptitude Question SOLUTION: N is an integers and N>2 at most how many integers among N+2,N+4,N+5,N+6 and N+7 are prime integers? a) 1 ,b)3 ,c)2, d)4

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Algebra

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40010961) TCS Numerical Ability question Keep an EYE

N is an integers and N>2 at most how many integers among N+2,N+4,N+5,N+6 and N+7 are prime integers?
a) 1 ,b)3 ,c)2, d)4

Asked In TCS RAHU SHARMA (11 years ago)

Unsolved Read Solution (8)

Is this Puzzle helpful?   (26)   (18) Submit Your Solution Algebra

Read Solution (8) :

RIMAN  (11 years ago)

2....
start with 3...we got 5,6,7,8,9
we gust got 2 prime no among them.
and it is true for any no. of n.

Is this solution Helpfull? Yes (34) | No (3)  

Yash Ajmera  (11 years ago)

Ans. (c) 2

For N=3 we have - 5,7,8,9,10 so 2 prime
For N=4 we have - 6,8,9,10,11 so 1 prime
For N=5 we have - 7,9,10,11,12 so 2 prime
For N=6 we have - 8,10,11,12,13 so 2 prime
& so on....
So max no of Primes are 2

Is this solution Helpfull? Yes (17) | No (1)  

Jagadeesh  (11 years ago)

2....
start with 3...we got 5,7,8,9,10
we gust got 2 prime no among them.
and it is true for any no. of n.
Here 5 and 7 prime integers.

Is this solution Helpfull? Yes (13) | No   

shubham srivastav  (11 years ago)

every prime no. follows the logic
6N+1 or 6N-1.
but this doesnt mean every no which follows this logic is prime.
except 2,all prime no.s are odd.
now,
since N is an integer,so 6N will always be even. to make it odd we have to add an odd no to 6N.
in our question we have only to set which can make odd(N+5 and N+7). so we can have max of two prime no.
ans=c

Is this solution Helpfull? Yes (7) | No   

lala  (11 years ago)

c)2..if let n=3

Is this solution Helpfull? Yes (3) | No (8)  

Devendra  (9 years ago)

if we solve this question by putting n as 3,4,5,6 n so on
we got max 2 prime no each time as pattern flow with numbers
if we put number from 3 we get
For N=3 we have - 5,7,8,9,10 so 2 prime
For N=4 we have - 6,8,9,10,11 so 1 prime
For N=5 we have - 7,9,10,11,12 so 2 prime
For N=6 we have - 8,10,11,12,13 so 2 prime
& so on..

so 2 is common prime number,
That why answer is 2

Is this solution Helpfull? Yes (1) | No   

somee gupta  (8 years ago)

ans: 4
5, 7, 11, 13

Is this solution Helpfull? Yes | No (3)  

Aritra Ghosal  (7 years ago)

just consider n=19
out of 20,21,22,23,24,25,26
only 23 is prime

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.