English

How Many Two Digits Numbers Are Divisible by 3? - Mathematics

Advertisements
Advertisements

Question

How many two digits numbers are divisible by 3?

Sum

Solution

Two digits numbers divisible by 3 are 

12,15,18, .......99.

a = 12, d= 15 -12=3

implies that

Tn =99 

implies that

a + (n -1) d = 99

implies that

12 +(n -1)3 =99

implies that 

n = 30

numbers of two digit numbers divisible by 3 are 30.

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) 30/1/1

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Define real numbers .


Show that there is no value of n for which `(2^n xx  5^n)`  ends in 5.


A shopkeeper buys some books for Rs 80. If he had bought 4 more books for the same amount, each book would have cost Rs 1 less. Find the number of books he bought.


Two positive integers a and b can be written as a = x3yand b = xy3. x, y are prime numbers. Find LCM (a, b). 


To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections: section A and section B of grade X. There are 32 students in section A and 36 students in section B.

What is the minimum number of books you will acquire for the class library so that they can be distributed equally among students of Section A or Section B?


To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections: section A and section B of grade X. There are 32 students in section A and 36 students in section B.

7 × 11 × 13 × 15 + 15 is a:


To enhance the reading skills of grade X students, the school nominates you and two of your friends to set up a class library. There are two sections: section A and section B of grade X. There are 32 students in section A and 36 students in section B.

If p and q are positive integers such that p = ab2 and q = a2b, where a, b are prime numbers, then the LCM (p, q) is:


A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.

In each room, the same number of participants are to be seated and all of them being in the same subject, hence a maximum number of participants that can be accommodated in each room are:


A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.

The LCM of 60, 84 and 108 is:


A seminar is being conducted by an Educational Organisation, where the participants will be educators of different subjects. The number of participants in Hindi, English and Mathematics are 60, 84 and 108 respectively.

108 can be expressed as a product of its primes as:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×