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1. Question marks are mentioned with each Question.
2. Please write neat and clean hand-writing on Answer Sheet. Use Margin on right side and left side of Answer Sheet.
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5. This is a ONE TIME attempt test. Once started, it cannot be reversed or attempted again.
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1
Find the number of different ways so that the numbers 3, 7, 5 and 9 can be arranged , taking two number at a time.
4
16
64
256
2
Compute the factorial of 6
24
120
720
5040
3
There are 5 Mathematics books and 6 Physics books in a book shop. In how many ways a student can buy a mathematics book or a physics book?
5 ways.
6 ways.
11 ways.
None of these.
A team of 5 boys is to be formed from 8 boys in which one boy is always included, what will be the total number of all possible arrangement?
4200
360
5
Compute factorial of 7
40320
362880
36288
6
If P(n , 4) = 20 X P(n , 2) , Find n.
7
12
If nPr = 360 , find r.
8
In a class there are 5 boys and 5 girls. The teacher wants to select a boy and a girl to represent the class in a function. In how many ways can the teacher make this selection ?
10 ways.
25 ways.
15 ways.
9
Compute the expression
210
2730
32760
360360
10
There are 5 basket balls , 10 base balls and 2 cricket balls in a shop. In a how many ways players can buy three of them ?
100 ways.
17 ways.
13 ways .
11
If there are 12 questions in ch-1,18 questions in ch-2 and 15 questions in ch-3. In how many ways teacher can select a question from any one of the 3 chapters?
45 ways.
65 ways.
216 ways.
180 ways.
In how many ways can 6 persons stand in a queue?
13
Among the 36 teachers in a school , one principal and one vice principal is to be appointed . In how many ways can this be done ?
1260
14
All the three letters of the TAB are arranged to form different words without repeating any letter in an one word. The words so formed are, then arranged as in dictionary. What will be the position of the word TAB in that sequence ?
15
Find the number of arrangements of the letters of the word INDEPENDENCE. In how many of these arrangements
(i) do the words start with P
(ii) do all the vowels always come together
1386 , 186
1680 , 13860
138600 , 16800
16800 , 138600
All the five letters of the word TABLE are arranged to form different words without repeating any letter in any word. The words so formed are, then arranged as in dictionary. What will be the position of the word TABEL in that sequence ?
96
97
91
301
17
There are four parcels and five post offices. In how many ways can the parcels be sent by registered post?
1024 ways.
625 ways.
20 ways.
18
Which of the following statement is /are correct?
(a) There are 20 dancers and 8 non dancers . In 160 ways the choreographer can choose a dancer and a non dancer .
(b) In a bakery there are 5 cakes ,7 pastries and 4 swiss rolls . In 16 ways a customer can buy a cake , pastry and a swiss role .
Only (a) is correct.
Only (b) is correct.
Both (a) and (b) are correct.
19
Which of the following statement is/are correct?
(a) In a class there are 4 boys and 3 girls. Teacher wants to select a boy or a girl . Teacher can make selection in 12 ways.
(b) In a shop there are 5 candies and 5 chocolates. A child wants to have a candy or a chocolate. A child can have a candy or a chocolate in 25 ways.
Both (a) and (b) are correct .
20
Compute the following expression
489
640
306
204