Numbers Questions

Consider  the  multiplication  999  ×  abc  =  def132  in  decimal  notation, where  a,  b,  c,  d,  e  and  f  are digits. What are the values of a, b, c, d, e and f respectively?

(61 + 62 + 63 + ......... +110) = ?

How many numbers are there between 1 to 200 which are divisible by 3 but not by 7?

Two numbers are 10% and 20% lesser than a third number respectively. By how much percent is the second number should be enhanced to make it equal to the first number?

In an arithmetic progression if 13 is the 3rd term, -­47 is the 13th term, then ­-17 is which term?

Of the 5 numbers whose average is 76, the first is 3/7 times the sum of other 4. The first number is

If the number 583_437 is completely divisible by 9, then the smallest whole number in the place of the blank digit will be

A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the value of the fraction?