651. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Answer: 720
Explanation:The word 'LEADING' has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
Workspace
Wipro TCS
652. Two persons A and B working together can dig a trench in 8 hrs while A alone can dig it in 12 hrs. In how many hours B alone can dig such a trench?
Answer: 24 hours.
Explanation:Given (A+B)'s one hours work = 1/8
and A's one hours work =1/12
Therefore, B's one hours work = (1/8-1/12) =1/24.
So, B alone can dig the trench = 24 hours.
Workspace
TCS
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