Question
Simple interest and compound interest (compounded
annually) earned on a sum at the end of 2 years at a certain rate of interest p.a. are Rs. 2500 and Rs. 2800 respectively. Find the rate of interest.Solution
Simple interest for 1 year = 2500/2 = Rs. 1250 Difference between compound Interest and Simple Interest for 2 years = 2800 – 2500 = Rs. 300 Desired rate = 300/1250 × 100 = 24%
If ‘48b297a54’ is a nine digit number which is divisible by ‘11’, then find the smallest value of (a + b).
Which of the following numbers is divisible by 11?
If '5731x7' is a six-digit number which is divisible by 33, then calculate the value of 'x'.

What is the remainder of function 5a³–15a² +14a–3 when divided by (2a-2)?
A number n when divided by 6, leaves a remainder 3. What will be the remainder when (n2 + 5n + 8) is divided by 6?
21 is divided into three parts which are in arithmetic progression (A.P.) in such a way that the sum of their square is 155. Find the smallest part.
Find a number between 100 and 200 that leaves a remainder of 3 when divided by 8, 12, or 15. Once identified, determine the remainder when this number i...
Find the greatest number that will divide 49, 147 and 322 to leave the same remainder in each case.
If a nine-digit number 785x3678y is divisible by 72, then the value of (x − y) is: