EASY
CAT
IMPORTANT
Earn 100

The greatest possible number which can always divide the sum of the cubes of any three consecutive integers is:

50% studentsanswered this correctly

Important Questions on Number System

HARD
CAT
IMPORTANT
Arun and Prabhat have some books with them. Once Prabhat said to Arun that, if Arun gives 3 books to Prabhat then Arun will have only 12 of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is _____________
EASY
CAT
IMPORTANT
A soda water bottle is exactly filled with coke weighs 1600 gm but when it is 13rd filled it weighs only 900 gm. The weight of the empty bottle is:
EASY
CAT
IMPORTANT
If a b, c d, b a and d c are two digit numbers then the maximum value of (ab×cd)-(ba×dc) is, where a, b, c, d are distinct non-zero integers:
EASY
CAT
IMPORTANT
In how many ways 12600 can be expressed as a product of two factors which are relatively prime:
EASY
CAT
IMPORTANT

The number of zeros at the end of

2123-2122-2121×3234-3233-3232

MEDIUM
CAT
IMPORTANT
A lad was asked his age by his friend. The lad said, 'The number you get when you subtract 25 times my age from twice the square of my age will be thrice your age. ' If the friend's age is 14 years, then age of the lad (in years) is:
EASY
CAT
IMPORTANT
If the sum of two numbers added to the sum of their squares is 42 and the product of these numbers is 15, then the numbers are:
EASY
CAT
IMPORTANT
If the equality 1x-1=2x-2 is satisfied by x, then the value of x will be: