Advertisements
Advertisements
Question
Find, how many two digit natural numbers are divisible by 7.
Solution
The first two-digit number that is divisible by 7 is 14
So, the sequence starts from 14
And the highest two-digit number that is divisible by 7 is 98
So, the sequence becomes:
14, 21, ..., 98.
We, need to find the numbers in the given sequence
Using an = a + (n - 1)d
a is the first term, d is the common difference, n is the number of terms and is the nth term and an is the nth term
a = 14, d = 7, an= 98 substituting the values we get
98 = 14 + (n - 1)7
98 = 14 + 7n - 7
91 = 7n
n = `91/7`
n = 13
Therefore, there are total 13 two digit numbers that are divisible by 7.
APPEARS IN
RELATED QUESTIONS
By what number should be 1365 be divided to get 31 as quotient and 32 as remainder?
Show that there is no value of n for which `(2^n xx 5^n)` ends in 5.
How many two digits numbers are divisible by 3?
Two numbers are in the ratio of 5: 6. If 7 is subtracted from each of the numbers, the ratio becomes 4: 5. Find the numbers.
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:
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.
What is the minimum number of rooms required during the event?
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 product of HCF and 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:
