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PSAT Sample Questions ›› Math Section : Multiple Choice Questions

Math Section : Multiple Choice Questions

Permutation and Combination

1. How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different?
1. 16C7 * 7!
2. 12C4 * 4C3 * 7!
3. 12C3 * 4C4
4. 12C4 * 4C3

Ans : B

2. In how many ways can 5 letters be posted in 3 post boxes, if any number of letters can be posted in all of the three post boxes?
1. 5C3
2. 5P3
3. 53
4. 35

Ans : D

3. How many number of times will the digit '7' be written when listing the integers from 1 to 1000?
1. 271
2. 300
3. 252
4. 304

Ans : B

4. There are 6 boxes numbered 1, 2,...6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
1. 5
2. 21
3. 33
4. 60

Ans : B

5. What is the value of 1*1! + 2*2! + 3!*3! + ............ n*n!, where n! means n factorial or n(n-A(n-2)...1
1. n(n-A(n-A!))
2. (n+A!)/(n(n-A))
3. (n+A! - n!)
4. (n + A! - 1!)

Ans : D

6. 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

Ans : A

7. 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

Ans : D

8. 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

Ans : C

9. 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!

Ans : C

10. 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

Ans : C

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