Latest TCS Aptitude Question SOLUTION: What is the smallest prime number dividing the sum 3^22 + 5^12? a. 3 b. 11 c. 5 d. 2 e 3^22 + 5^12

• Placement Papers
• /
• TCS

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

(#M40023840) TCS question Maths Keep an EYE

What is the smallest prime number dividing the sum 3^22 + 5^12?

a. 3

b. 11

c. 5

d. 2

e 3^22 + 5^12

Asked In TCS ABHIJEET RANJAN (10 years ago)

Unsolved Read Solution (6)

Is this Puzzle helpful?   (4)   (0) Submit Your Solution

Read Solution (6) :

Naveen Pandey  (10 years ago)

ans is 2...as sum of two odd is even and 2 will divide it..

Is this solution Helpfull? Yes (42) | No (2)  

venkatasanjai  (10 years ago)

ans is 2

3^22 the last digit will end in 9 ,bec the cyclicity of 3 is 4 so ,22/4 we get reminder to be 2 and therefore 3 ^2 is 9 and similarly the cyclicty of 5 is 1 so the last digit will be 5
and the sum will have a last digit as 4
ultimately the smallest digit prime num which will divide the sum which has last digit of 4 is 2 .

Is this solution Helpfull? Yes (9) | No   

AKASH BISWAS  (10 years ago)

last digit of the sol is 4; so ans is 2

Is this solution Helpfull? Yes (6) | No (1)  

Shashank Shekhar  (10 years ago)

Easily we can see that ODD + ODD is EVEN.
So ans: 2

Is this solution Helpfull? Yes (3) | No   

ramya  (10 years ago)

answer is 2
divide the problem into two parts 3^22 and 5^12
i)3/2=1 reminder
ii)5/2 =1 reminder
add both the reminders 1+1/2=0 reminder.

Is this solution Helpfull? Yes (3) | No (1)  

k.m  (10 years ago)

answer is e.3^22+5^12.

Is this solution Helpfull? Yes (2) | No (9)  

Please Login to Read Solution.