Skip to main content

Aptitude Day 118

Problems on Permutations and Combinations:

1. How many arrangements can be made out of the word 'ENTREPRENEUR'?

Solution:
               The given word has 12 letters and E is repeated 4 times, N is repeated twice and R is repeated thrice. Hence,

                12! / 4! 2! 3! = 1663200.

2. How many words can be formed from the letters of the word 'VOLUME' so that the vowels always come together?

Solution:
               The arrangement will be VLM (OUE)

               The 4 letters can be arranged in 4! = 24.
               The vowels can be arranged among themselves in 3! = 6.

               The required number of ways = 24*6 = 144.

Comments

Popular posts from this blog

Aptitude Day 59

Answers of Day 58:     1. 1/90.     2. 20 Problems to solve: 1. The product of two numbers is 33 and the sum of their squares is 130. Find their difference. 2. The sum of two numbers is 100 and their difference is 20. Find their product.

Vocabulary Day 55

Dilemma Thesaurus: Noun : problem            double bind, difficulty, crisis, embarrassment, mess, puzzle...  Antonyms :  solution...  Example sentences:                  That's a serious dilemma we should think about that.          He'll never share his dilemma with anyone. 

Aptitude Day 55

Problems On Numbers 1. The difference between the squares of two numbers is 28000 and the sum of their numbers is 400. Find the numbers. Solution:                 Let the 2 numbers be x and y.                 (x 2 -y 2 ) / (x+y) = 28000/400                 (x+y)(x-y) / (x+y) =  70                 x-y = 70 ------ Equation 1                 x+y = 400 ---- Equation 2                 By solving equations 1 and 2 we get,                 x = 235 and y = 165.                 The numbers are 235 and 165. 2. The sum of three consecutive numbers is 315. The middle number is: Solution:                 Let t...