MBA Exam Numerical Ability Permutation and Combination

In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?1. 6!/2!2. 3!3!3. (3!3!)/2!4. (4!*3!)/2!

1) 1
2) 2
3) 3
4) 4

Read Solution (Total 2)

ABACUS--> (vowels)consonants: (AAU)BCS => total 4 characters. 1-> AAU and 3-> B,C,S.
so arrangement of this is = 4 !
now vowels having it's own arrangements= 3! but repetition of A is twice in vowels.
so actual arrangement for vowel= 3!/2!
So ans = 4!*3!/2!
ans->4th option.
10 years agoHelpfull: Yes(1) No(0)

option 4: (4!*3!)/2!
6 years agoHelpfull: Yes(0) No(0)

MBA Other Question

The greatest number which will devide 4003,4126 and 4249?

1) 43
2) 41
3) 45
4) None of these
When we perform a "digit slide" on a number we move it's unit digit to the front of the number. For eg digit slide on 1654 is 4165. Let z be the smallest integer with 5 as it's unit digit such that the result of the digit slide on the number equals 4 times the number. How many digits will z have?

1) 7
2) 6
3) 4
4) 3