Question
How many three digit numbers are divisible by
5?Solution
nth = a + (n – 1)d Here, a → first term, n → Total number, d → common difference, n → n term Common difference, (d) = 5 Now, n = a + (n – 1)d ⇒ 995 = 100 + (n – 1) × 5 ⇒ 995 – 100 = (n – 1) × 5 ⇒ 895 = (n – 1) × 5 ⇒ 179 = (n – 1) ⇒ n = 180
βNβ is the largest three-digit number that leaves 6 as a remainder when divided by 7, 8 and 5. Find the sum of digits of βNβ.
- What is the smallest positive number which is divisible by 9, 18, and 27?
The sum of a positive number 'A' and its square is 240. Find the value of (A2Β - 7A).
- A certain number gives a remainder of 9 when divided by 17. What is the remainder when twice that number is divided by 17?
- The digits of a two-digit number add up to 9. If 27 is subtracted from the number, the digits switch places. What is the number?
Determine the sum of all three-digit numbers which are divisible by 8 and the sum of their digits is divisible by '3'.
Which term of the arithmetic progression 88, 90, 92, 94... is 142?
Some books were distributed among (2x + 4) students such that each student received 5 books. If there had been 6 students more, then books received by e...
The sum of two numbers is 32 and one of them exceeds the other by 18. Find the greater number.
- βNβ is the largest three-digit number that leaves 2 as a remainder when divided by 11, 13 and 4. Find the sum of digits of βNβ.