Problem Solving MCQ Set 37

Question: There are 5 Rock songs, 6 Carnatic songs and 3 Indi pop songs. How many different albums can be formed using the above repertoire if the albums should contain at least 1 Rock song and 1 Carnatic song?

1. 15624
2. 16384
3. 6144
4. 240

Question: In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together?

1. 10! - 2!
2. 9! - 2!
3. 10! - 9!
4. None of these

Question: How many five digit numbers can be formed using the digits 0, 1, 2, 3, 4 and 5 which are divisible by 3, without repeating the digits?

1. 15
2. 96
3. 216
4. 120

Question: How many words can be formed by re-arranging the letters of the word PROBLEMS such that P and S occupy the first and last position respectively?

1. 8! / 2!
2. 8! - 2!
3. 6!
4. 8! - 2*7!

Question: Four dice are rolled simultaneously. What is the number of possible outcomes in which at least one of the die shows 6?

1. 6! / 4!
2. 625
3. 671
4. 1296

Question: A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?

1. 33.33%
2. 75%
3. 300%
4. 150%