The product of two consecutive even numbers is 168. Find the sum of the numbers?

A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5 ? 

The least number that should be added to 35460 so that the sum is exactly divisible by 3, 4, 5 and 7 is:

Find the greatest number which divides 108, 124 and 156, leaving the same remainder. 

What is the smallest digit that must be added to the product 5786 × 5784 to make it a perfect square?

In a group of 35 people, 23 of them like coffee, 24 of them like tea and each person likes at least one of the drinks. How many like both? 

Adding 335 to 5A7 results in 8B2. The number 8B2 is divisible by 3. Accordingly, what will be the maximum possible value of A?

The smallest positive integer, which when multiplied by 392 gives the product a perfect square number, will be :