try to solve these number system questions PART 1 ???

Hi solve these questions and post your answers.
1. If 8 are written 88 times side by side, we shall get a large number of 88 digits. What is the remainder when 7 divide this large number?
a. 1 b. 4 c. 3 d. 5

2. How many four-digit numbers are there with less than 6 different prime factors?
a. 1224 b. 8476 c. 9000 d. 7613

3. A = 1111……………..1(46 times) and M = 2222………………..2(64 times). What is the remainder when AM is divided by 18?
a. 6 b. 16 c. 4 d. none of these

4. A is the product of ten consecutive two-digit numbers. Y is the highest power of 5 in A. what can be the maximum value of Y?
a. 4 b. 3 c. 2 d. 1

5. How many different factors of 105 end with zero?
a. 5 b. 16 c. 25 d. none of these

6. A = 10! + 12! + 14! + 16! +…………100!. The highest power of 2 in A is
a. 9 b. 7 c. 10 d. none of these

7. A is the product of first 100 multiples of 8, i.e. A = 8 16 24 ………..800. How many zeros would be there at the end of A?
a. 10 b. 12 c. 11 d. none of these

8. A = 155216, how many factors of A are there?
a. 217 b. 47089 c. 46656 d. none of these

9. The remainder when 25! is divided by 107 is
a. 2 b. 4 106 c. 6 106 d. 2 106

10. You write first 56 even numbers, how many times will you be writing the digit 2?
a. 12 b. 11 c. 16 d. 17

11. Product of 11 irrational number would always be
a. Irrational b. Rational
c. Can be anything rational or irrational d. none of these

12. You are selecting 10 numbers randomly out of the first 100 odd numbers. Sum of these 10 odd numbers is A. How many different values of A are possible?
a. 100C10 b. 1801 c. 1800 d. 901

13. A is a natural number. H.C.F. of A+10, A+15, A+20, A +25 and A+26 is
a. A b. A+1 c. 1 d. depends on the value of A
14. A = 626! – 625! . How many consecutive zeros would be there at the end of A?
a. 156 b. 160 c. 1 d. none of these

15. A (x) = 10 –x. what is the LCM of A (2), A (3), A (4), A (5) AND A (-1)?
a. A (2) b. A (3) c. A (5) d. A (-1)