Question Bank No: 2

1. The number of 3 digit numbers lying between 100 and 999 inclusive and having only two consecutive digits identical is

 a)100
 b)162
 c)150
 d)none of these

2. The sum of all numbers greater than 1000 formed by using digits 1,3,5, 7 no digit being repeated in any number is

 a)72, 215
 b)83, 911
 c)106, 656
 d)114, 712

3. The number of ways in which a mixed double tennis game be arranged between 10 players consisting of 6 men and 4 women?

 a)180
 b)90
 c)48
 d)12

4. There are 10 true-false questions. The number of ways, in which they can be answered is

 a)10 !
 b)10
 c)210
 d)102

5. How many different arrangements can be made out of the letters in the expansion A2B3C4, when written in full?

 a)9 !
 b)2 ! + 3 ! + 4 ! (2! 3! 4!)
 c)2 ! 3 ! - 4
 d)9 !________ 2 ! 3! 4 ! 2 ! + 3 ! + 4 !

6. The number of triangles that can be formed with 6 points on a circle is

 a)6
 b)20
 c)15
 d)12

7. In a college examination, a candidate is required to attempt 6 out of 10 questions which are divided into two sections each containing 5 questions. Further the candidate is not permitted to attempt more than 4 questions from either of the section. The number of ways in which he can make up a choice of 6 questions is

 a)15
 b)200
 c)100
 d)50

8. The number of arrangements which can be made using all the letters of the word LAUGH if the vowels are adjacent is

 a)10
 b)24
 c)120
 d)48

9. All the letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is

 a)NAAGI
 b)NAAIG
 c)IAANG
 d)INAGA

10. The number of 2 digit even number formed from the digits 1, 2, 3, 4, 5, and 6, if repetition of digits is not allowed is

 a)6
 b)5
 c)9
 d)15