number of values of 'a'(from 0 to 9) for which the no N = 2345631143a4 is divisible by 12 is:

0, 1, 2,more than 2

i know the ans is 2.. plz explain.thanks in advance

3 years ago


Answers : (1)


Dear Jayati,

Solution:- For the number to be divisible by 12, it has to be divisible by 4 and 3.

Divisibility criteria for 3: Sum of the digits of the number should be divisible by 3.

Sum of the digits of N = a + 36

Since, 36 is divisible by 3. So, for N to be divisible by 3, 'a' can have following values- 0, 3, 6, or 9.

Now, Divisibility criteria for 4: The last 2 digits of the number should be divisible by 4. In our case, 'a4' should be divisible by 4.

'a4' can be 04, 34, 64, or 94. From these 4 values, only 4 and 64 are divisible by 4. Therefore, 'a' can be either 0 or 6.

ANS = 2

Please feel free to post as many doubts on our discussion forum as you can. If you find any question
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE preparation.

All the best Jayati!!!

Askiitians Experts
Priyansh Bajaj

3 years ago

Post Your Answer

More Questions On IIT JEE Entrance Exam

Ask Experts

Have any Question? Ask Experts
Post Question
Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details
Sir, I got 48296 ( overall rank ) and 34385(category rank) in JEE mains... what are the colleges that I can get in ?
The link below is IIT JEE Main Branch and College Predictor.You can use it to get the answer to your query. Thanks &...
Aziz Alam 12 days ago
i got 416 haryana homestate obc category rank and does not get any branch in nit kurukshetra in 1 round.Will i get any branch in 2 round in nit kurukshetra.I got 1600 rank in state haryana.
You can have a look at previous year data regarding NIT Kurushetra Thanks & Regards Aziz Alam IIT Roorkee...
Aziz Alam 14 days ago
A body is thrown horizontally with a vel. u from top of the tower. The displacement of the stone when the horizontal and vertical vel. are equal?(Horizontal projectile)
Hello Dear student, v= gt u=gt t=u/g the horizontal displacment = u*u/g the vertical displacment, s= .5g (u/g)^2
Sher Mohammad 18 days ago
Which book to refer for GK bio chem and physics and minimium study hours to crack aiims
Hi Please specify what do you mean by GK? It will help me to answer with clarity. As per the second question, there is no mininmum hours to crack AIIMS. One should devote their complete...
Sumreet Johar 8 days ago
where exactly the bronze medallist vijender sigh belongs to??
Vijender sigh belongs to Kaluwas village, on the outskirts of Bhiwani in Haryana.
Vijay Luxmi Askiitiansexpert 5 years ago
sir, i am very weak in physics. i am able to score 55-60% marks in maths and chemistry.but in physics it is very less(25-30%). will you help me. i am going to take jee advanced 2014 on may...
See You have to practice a lot. Remember all the concepts so that all of them areintuitive to you. Arun Kumar IIT Delhi Askiitians Faculty
Arun Kumar 2 months ago
View all Questions »