Sum of all three digit numbers (no digit being zero) having the property that all digit are perfect squares, is


Correct option is


∴ Sum due to 1 at unit’s place is 1 × 9. Similarly.  

Sum due to 1 at ten’s place is 1 × 10 × 9 and sum due to 1 at hundred’s place is 1 × 100 × 9. We can deal with the digit 4 and 9 in a   similar way. 

Thus, sum of the desired number is  




The number of ways of arranging letters of the word HAVANA so that V and N do not appear together is


The range of function 


The number of ways of arranging letters of the word RACHIT so that the vowels are in alphabetical order is


A five digit number divisible by 3 is to be formed using the numerals 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is


The number of ways in which a mixed double game can be arranged from amongst 9 married couple if no husband and wife play in the same game is 


The number of times the digit 3 will be written when listing the integers from 1 to 1000 is


The number of positive integers n such that 2n divides n! is


A class contains 4 boys and g girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of g is    


The sum of the factors of 9! Which are odd and are of the form 3m + 2, where m is a natural number is 


Let S = {1, 2, 3, ... n}. if X denote the set of all subsets of S containing exactly two elements, then the value of