Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,000 off


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

5 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

5 years ago

Post Your Answer

Other Related Questions on IIT JEE Entrance Exam

i got civil in iitbombay .now what should be do ? bcoz it is 14 no choice and at 12 no. mech iitb ,at13 EE in iitb .
you are getting iitb civil if you want to confirm that pay the fees and confirm it..that how you confirm your seat. Also before that make sure that there is NO next round of counselling....
Nishant Vora one year ago
Dear student, You can alter your preferance/choices in the couselling portal if you have not locked/freezed it. If you have freezed or locked than can’t help, that will be fixed....
Nishant Vora one year ago
That obviously means that you were not getting mech and EE as per your rank and you are getting civil in IIT bombay.
Nishant Vora one year ago
Which books are must have for IIT_JEE entrance???? I have H C Verma and arihant classic texts series!!
hi chinmay both these books are enough for iitjee preperations but you have to do ncert books as well. best of luck for iit preperations. need any help or have any question post it in the...
SAHIL 2 months ago
Yes, these books are quite good, you may also seek help from NCERT books too, download sample papers and previous years test papers for practice and also by joining some coaching center you ...
Aneesh Sehgal 2 months ago
no need as when you take coaching of iit, your automatic preperations of boards will be there. you can also buy askiitians online coaching material as it will boost your iitjee preperations ...
SAHIL 2 months ago
two forces 12 N and 16N are acting upon a body.what can be the maximum and minimum resultant force on the body?
The resultant of two forces acting on the same point is maximum when the forces are acting in the same direction and minimum when they operate in opposite direction. When the two forces are ...
SAHIL 8 days ago
i am from west bengal.this time iiest(shibpur) is offering 50% seats to west bengal students.will it benifit if i hav rank of 220000AIR and i am obc.last time NIT durgapur biotech sream...
Yes there may be the chances. However the opening and closing rank gives us idea but there may be variation within it. so you have to be ready accordingly.
Vijay Mukati one year ago
My suggestion is to check the placement record of Shibpur and along with that keep an eye on the counselling rounds plus spot round and parallely keep visiting the official websites of...
Ayushmaan Vardhan one year ago
i got 102 marks in jee mains 2016 and 85% in boards(>99 percentile) in west bengal board can i get iiest shibpur through home state quota and state rank
Dear Student, there is certainly a home-state quota, for sure and your score is not up to the mark to be at IIEST Shibpur, you may get it, may be possible, but in low rated branches. To be...
Aneesh Sehgal one month ago
sorry but chances are very less. otherwise you can expect branches like Metallurgy and Materials Engineering,Information Technology {{but sorry chances are very less}}. i think you should...
SAHIL one month ago
THE VALUE OF X SATISFYING EQUATION X=(2+(2-(2+X) 1/2 ) 1/2 ) 1/2 ?
Dear rahul X=(2+(2-(2+X) 1/2 ) 1/2 ) 1/2 x≥ 0 ................1 square x 2 =(2+(2-(2+X) 1/2 ) 1/2 ) or x 2 -2 =(2-(2+X) 1/2 ) 1/2 so x 2 -2≥0 so x≥2 or x ≤-2 from equation 1...
Badiuddin askIITians.ismu Expert 6 years ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,000 off

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details

Get extra R 3,000 off

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