GMAT Sample Questions

Quantitative Section : GMAT Sample Problem Solving Ability

Permutation and Combination

151. 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?
     1. 2 * 19!
     2. 18! * 18
     3. 19! * 18
     4. 2 * 18!

     Ans : D

152. How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively?
     1. 5!
     2. 4!
     3. 6! - 2!
     4. 6! / 2!

     Ans : B

153. There are 12 yes or no questions. How many ways can these be answered?
     1. 1024
     2. 2048
     3. 4096
     4. 144

     Ans : C

154. How many ways can 4 prizes be given away to 3 boys, if each boy is eligible for all the prizes?
     1. 256
     2. 12
     3. 81
     4. None of these

     Ans : C

155. 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?
     1. 9
     2. 26
     3. 126
     4. 3920

     Ans : C

156. How many numbers are there between 100 and 1000 such that atleast one of their digits is 6?
     1. 648
     2. 258
     3. 654
     4. 252

     Ans : D

157. How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?
     1. 5¹⁰
     2. 10⁵
     3. 10P5
     4. 10C5

     Ans : A

158. 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?
     1. 9!/4
     2. 9!/(4!*5!)
     3. 4!*5!
     4. None of these

     Ans : C

159. In how many ways can 15 people be seated around two round tables with seating capacities of 7 and 8 people?
     1. 15!/(8!)
     2. 7!*8!
     3. (15C8)*6!*7!
     4. 2*(15C7)*6!*7!

     Ans : C

160. 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?
     1. 24
     2. 31
     3. 32
     4. 30

     Ans : C

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