• #### 1.  Everybody in a room shakes hands with everybody else. The total number of hand-shakes is 55. The total number of persons in the room is:

• 11
• 12
• 8
• 14
• None of these
• #### 2.  In how many different ways can the letters of the word ‘FORMULATE’ be arranged?

• 50400
• 362880
• 25209
• 36082
• None of these
• #### 3.  3 Girls and 4 boys are to be seated in a row on 7 chairs in such a way that all the three girls always sit together. In how many different ways can it be done?

• 820
• 720
• 284
• 496
• None of these
• #### 4.  In how many difference ways, can be letters of the word ‘CRISIS’ be arranged?

• 150
• 240
• 120
• 180
• None of these
• #### 5.  Find the number of different ways of forming a committee consisting of 3 men and 3 women from 6 men and 5 women.

• 35
• 34
• 30
• 38
• None of these
• #### 6.  A dice with numbers from 1 to 6 on its faces is thrown. If the outcome is an even number, it is thrown again, otherwise not. It is known that the dice was thrown for four times following this condition. In how many cases can the sum of numbers obtained in four throws be 16?

• 0
• 36
• 12
• 6
• Cannot be determined

• 24
• 60
• 120
• 90
• 720

• 685464
• 105456
• 632736
• 316368
• 949104
• #### 9.  In how many different ways the word, TESTBOOK’ can be arranged so that vowels always come together?

• 1680
• 960
• 720
• 1080
• None of these

• 2403500
• 2453500
• 3458000
• 3857000
• 4867000
• #### 11.  A committee of 6 HODs is to be formed in a university out of 4 people from engineering department, 5 from management department and 3 from medical department. In how many ways the committee can be formed if two head of department from each department are to be included?

• 152
• 180
• 165
• 178
• None of these
• #### 12.  In how many different ways can 2 vowels and 3 consonants be selected from 4 vowels and 10 consonants?

• 720
• 840
• 620
• 240
• None of these
• #### 13.  Rohan decided to make collections of numbers greater than 0 and less than a million with the digits 0, 7 and 8. How many numbers are possible?

• 1086
• 486
• 728
• 1000
• None of the above
• #### 14.  In how many ways can be letters of the word ‘APPLE’ be arranged?

• 720
• 120
• 60
• 180
• None of these
Report Question
access_time