top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

A ten digit number is taken in such a way that it is lying between ********** and **********...

0 votes

A ten digit number is taken in such a way that it is lying between ********** and **********. The last 4 digit of the number are 4 successive digits not necessarily taken in order. Average of these 4 digits is 5.5. On forming a new 4 digit number by taking these 4 digits in reverse order, we find a 4 digit number divisible by 2 but not by 4. The 10 digit number is divisible by 25. Which number would be at hundredth place?

posted Jun 8, 2016 by anonymous

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

If we take x as the lowest of the 4 consecutive numbers we get

X= 4

So the possible combinations are as follows
(Considering the entire 10 digit number is divisible by 25)


Now given that the reverse order of the number is only divisible by 2 and not by 4. So it should be as follows


Because divisibility by 4 is checked by the last two digits we know that the other combination gives numbers divisible by 4.

So the answer is

answer Jun 8, 2016 by Tejas Naik

Similar Puzzles
0 votes

Use digits from 1 to 9 once in such a way that each digit is used in the boxes and are not repeated.

enter image description here

With the help of the mathematical signs, the digits are supposed from the top to bottom and form a mathematical equation where each digit is used only once.

+1 vote

Using the digits 1, 2, 3 and 4, find the number of 10-digit sequences that can be written so that the difference between any two consecutive digits is 1.

Examples of such 10-digit sequences are ********** and **********.

0 votes

A cube is sliced into halves in such a way that the cut is a regular hexagon. What is the angle (in degrees) between the plane of the cut and the base of the cube?
enter image description here

–1 vote

I am thinking of a five digit number such that:
First and last digits are same, their submission is an even number and multiplication is an odd number and is equal to the fourth number. Subtract five from it and we obtain the second number. Then divide into exact half nd we get 3rd number.

What number I am thinking of?