Taking the 3 combinations of 3 digit numbers and adding them

Q.

I take a 3 digit number with distinct digits. I can get 6 different 3 digit numbers by rearranging the digits of this number.

1. 2

2. 3

Q. If the difference of two digit number and the number obtained by reversing the digits is 36, find the difference between the digits of the 2-digit number

Q. Find the last three digits of 2^{2017

Q.

I have a number of the form abcd. How many digits does it have?

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Q. Find last two digits of 2^999

Q.

Write the first five multiples of $8$?

Q.

I take a 3 digit number with distinct digits. I can get 6 different 3 digit numbers by rearranging the digits of this number.

1. 2

2. 3

Q. If the units digit of a two digit number is y and sum of digits is 9, then the number is?

Q.

I have many tiny cups which will hold 3 marbles each. Ram has 512 marbles and Shyam has 675 marbles. Who can put all his marbles into the cups such that all the cups he uses are full and none of his marbles are left out?

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Q. The difference between a 3 digit number and the number formed by reversing its digits is not always divisible by

1. 9
2. 11
3. 99
4. 5

Q.

What is an armstrong number

Q.

There is a 2 - D plane filled with 3 digit, 2 digit and single digit numbers. A, B and C are 3 digit numbers. The digit at the hundreds place is the head and the digit at units place is tail of the number. There are no mirrors in this plane. So, no number can see its own tail. A, B and C are good friends. Since, A can see B's and C's tail, it tells them that they both are divisible by 4. B and C tell A that it is divisible by 2. One day a 3D Mathematician comes and adds A, B and C to form a 4 digit number. This new number (A + B + C), must be divisible by:

1. 2

2. 4

3. 2 and 4

4. 8

Q.

Take a 3 digit number 'abc'. If we add abc, cab and bca together then the resulting sum is divisible by:

1. 11

2. 111

3. 37

4. 111 and 37

Q.

Let pqrbe a three digit number. Then, pqr + qrp + rpq will not be always divisible by

1. 9

2. 37

3. p + q + r

4. 3

Q. abc, bca and cab are the three numbers formed using three digits a, b and c. Addition of all the three numbers gives a new number. The new number is divisible by _____.

1. 29
2. 41
3. 14
4. 37