51. There are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers? A. 2 * 19! B. 18! * 18 C. 19! * 18 D. 2 * 18! Ans : D 52. How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and lastposition respectively? A. 5! B. 4! C. 6! - 2! D. 6! / 2! Ans : B 53. There are 12 yes or no questions. How many ways can these be answered? A. 1024 B. 2048 C. 4096 D. 144 Ans : C 54. How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes? A. 256 B. 12 C. 81 D. None of these Ans : C 55. A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel? A. 9 B. 26 C. 126 D. 3920 Ans : C 56. How many numbers are there between 100 and 1000 such that atleast one of their digits is 6? A. 648 B. 258 C. 654 D. 252 Ans : D 57. How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters? A. 5 10 B. 10 5 C. 10P5 D. 10C5 Ans : A 58. In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION? A. 9!/4 B. 9!/(4!*5!) C. 4!*5! D. None of these Ans : C 59. In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people? A. 15!/(8!) B. 7!*8! C. (15C8)*6!*7! D. 2*(15C7)*6!*7! Ans : C 60. If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM? A. 24 B. 31 C. 32 D. 30 Ans : C 61. How many words of 4 consonants and 3 vowels can be made from 12 consonants and 4 vowels, if all the letters are different? A. 16C7 * 7! B. 12C4 * 4C3 * 7! C. 12C3 * 4C4 D. 12C4 * 4C3 Ans : B 62. 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? A. 5C3 B. 5P3 C. 53 D. 35 Ans : D 63. How many number of times will the digit 7 be written when listing the integers from 1 to 1000? A. 271 B. 300 C. 252 D. 304 Ans : B 64. 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 A. 5 B. 21 C. 33 D. 60 Ans : B 65. 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 A. n(n-A(n-A!)) B. (n+A!)/(n(n-A)) C. (n+A! - n!) D. (n + A! - 1!) Ans : D 66. 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? A. 15624 B. 16384 C. 6144 D. 240 Ans : A 67. In how many ways can the letters of the word MANAGEMENT be rearranged so that the two As do not appear together? A. 10! - 2! B. 9! - 2! C. 10! - 9! D. None of these Ans : D 68. 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? A. 15 B. 96 C. 216 D. 120 Ans : C 69. How many words can be formed by re-arranging the letters of the word PROBLEMS such that P and S occupy the first and lastposition respectively? A. 8! / 2! B. 8! - 2! C. 6! D. 8! - 2*7! Ans : C 70. Four dice are rolled simultaneously. What is the number of possible outcomes in which at least one of the die shows 6? A. 6! / 4! B. 625 C. 671 D. 1296 Ans : C
Posted on: Tue, 18 Nov 2014 04:41:10 +0000
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