Question
A number when divided by 221 gives a remainder 30. What
will be the remainder when this number is divided by 17?Solution
ATQ,
Let, the number be ‘N’.
ATQ,
N = 221 × k + 30 = 17 × 13 × k + 17 + 13 = 17 × (13 × k + 1) + 13
Since, 17 × (13 × k + 1) is completely divisible by 17
So, if the number is divided by 17, the remainder will be 13.
The average weight of 48 students in a school is 32 kg. If two new students with weights of 'x' kg and '(x + 6)' kg join the group, the average weight o...
- A group consists of a certain number of individuals. If two members, each weighing 59 kg, leave the group, the average weight of the remaining members decr...
A man purchases cold-drink for three consecutive years. In the first year, he purchases cold-drink at the rate of ₹ 8.00 per litre, in the second year...
The average score obtained by 23 students in a class test is 68 marks. The top place was shared by 3 people who got the same score. If the lowest score ...
Each side of a rhombus is 20cm long and the length of one of its diagonals is 24cm, then find the area of the rhombus.
Average of 6 numbers is 12. If one number 5 is replaced by 17, find the new average.
The average of three numbers is 21. The first number is double the second, and the third number is double the first. Calculate the sum of the first and ...
- The average of six numbers is 54. When two more numbers are included, the average increases by 3. Find the average of the numbers included.
The average age of a group of 24 persons is found to be 28 years. Later it is found that age of two of the persons is calculated as 32 and 64 instead of...
Average marks scored by each boy in a class were 60, whereas that by each girl were 75. If the number of boys is 50% more than the number of girls, then...
