Find the smallest number to be added to 1000 so that 45 divides the sum exactly.
Given
Number = 1000
Divisor = 45
Formula Used
Number to be added = Divisor - Remainder
Solution
Divide 1000 by 45:
1000 = 45 × 22 + 10
The remainder is 10.
To make the number exactly divisible by 45, we need to add:
45 - 10 = 35
Thus, 1000 + 35 = 1035, which is perfectly divisible by 45.
Final Answer
So the correct answer is (c)
English
100 Questions
100 Marks
90 Mins English English100 Questions100 Marks90 Mins English English100 Questions100 Marks90 Mins EnglishThe greatest 4-digit and the smallest 4-digit numbers formed by the digits 4,0,3,7 (each digit used only once) are respectively :
Which of the following prime number can be written as pq+1 where p, q are also prime numbers ?
Which of the following prime number is common in two different sets of twin prime numbers ?
Find the smallest number to be added to 1000 so that 45 divides the sum exactly.
Find the product of the smallest and the largest prime numbers between 25 to 50.
A and B are two positive odd numbers. A × B = 9 and A < B. What is the value of A + B?
The sum of the three consecutive even numbers is 30. What is the sum of the smallest and the largest of the three numbers?
The difference of squares of two consecutive odd numbers is 88. What is the product of the two numbers?
Suggested Test Series
Suggested Test Series
The greatest 4-digit and the smallest 4-digit numbers formed by the digits 4,0,3,7 (each digit used only once) are respectively :
Which of the following prime number can be written as pq+1 where p, q are also prime numbers ?
Which of the following prime number is common in two different sets of twin prime numbers ?
Find the smallest number to be added to 1000 so that 45 divides the sum exactly.
Find the product of the smallest and the largest prime numbers between 25 to 50.
A and B are two positive odd numbers. A × B = 9 and A < B. What is the value of A + B?
The sum of the three consecutive even numbers is 30. What is the sum of the smallest and the largest of the three numbers?
The difference of squares of two consecutive odd numbers is 88. What is the product of the two numbers?
