I am thinking of a 6-digit number. The sum of the digits is 43.

And only two of the following three statements about the number are true:

(1) it's a square number,
(2) it's a cube number, and
(3) the number is under 500000.

The person who makes it has no need for it. The person who purchases it does not use it. The person who does use it does not know he or she is. What is it?

The digits 0-9(0,1,2,3,4,5,6,7,8,9) can be rearranged into 3628800 distinct 10 digits numbers.

How many of these numbers are prime ?

There are 50 taps in a bathroom and all of them are in closed position. There are 50 men standing in line to enter. 1st person enters and opens all the taps. Second person enteres and he flips every 2nd tap, 3rd person flips every third tap and so on..

After 50th persons turn, how many taps will be open and how many closed?

It's a word of 12 alphabets
It's 12, 4, 7, 2, 5 are Eastern beast of burden.
It's 1, 8, 10, 9 are street made famous by Sinclair Lewis.
It's 11, 3, 6 are past.
On whole it means a person suffering from delusions of greatness.
So, what it is?

Neha has 16 pairs of white socks and 16 pairs of brown socks.She keeps them all in the same drawer.If she picks out 3 socks at random what is the probability she will get a matching pair?

5 20 380 144020 ?

Following number letter sequence has one number/letter missing, find number marked by ?

1P133L5DM?

There is this 6 digit number! The tens digit is 2 more than the ones digit. The hundreds digit is 2 less than the tens digit. Now the hundreds digit is again equal to the thousands digit. The ten thousands digit is 2 more than the thousands digit and the hundred thousands digit is 2 less than the ten thousands digit. What is the digit?

I am thinking of a 6-digit number. The sum of the digits is 43.

And only two of the following three statements about the number are true:

(1) it's a square number,
(2) it's a cube number, and
(3) the number is under 500000.

The person who makes it has no need for it. The person who purchases it does not use it. The person who does use it does not know he or she is. What is it?

The digits 0-9(0,1,2,3,4,5,6,7,8,9) can be rearranged into 3628800 distinct 10 digits numbers.

How many of these numbers are prime ?

There are 50 taps in a bathroom and all of them are in closed position. There are 50 men standing in line to enter. 1st person enters and opens all the taps. Second person enteres and he flips every 2nd tap, 3rd person flips every third tap and so on..

After 50th persons turn, how many taps will be open and how many closed?

It's a word of 12 alphabets
It's 12, 4, 7, 2, 5 are Eastern beast of burden.
It's 1, 8, 10, 9 are street made famous by Sinclair Lewis.
It's 11, 3, 6 are past.
On whole it means a person suffering from delusions of greatness.
So, what it is?

Neha has 16 pairs of white socks and 16 pairs of brown socks.She keeps them all in the same drawer.If she picks out 3 socks at random what is the probability she will get a matching pair?

5 20 380 144020 ?

Following number letter sequence has one number/letter missing, find number marked by ?

1P133L5DM?

There is this 6 digit number! The tens digit is 2 more than the ones digit. The hundreds digit is 2 less than the tens digit. Now the hundreds digit is again equal to the thousands digit. The ten thousands digit is 2 more than the thousands digit and the hundred thousands digit is 2 less than the ten thousands digit. What is the digit?