OAs CAT CRACKER MAY 04

Q1 and 2 

1- 4

2 -. 1 

Out of the 16 such possible two-digit numbers only 12, 24, 36,

48, 72 and 84 are divisible by 4.

Pr obability =6/16 = 3/8 

3 -4 

Initially there is only one piece of paper. So, at the end of A's

action there would be 10 pieces of paper.

B picks up atleast 1 piece and can atmost pick all the 10

pieces and then tear them.

For every piece of paper that he tears the total number of

pieces increases by 9.

Hence, the number of papers at the end of B's action would

be 10 + 9n ; where n could be any natural number from 1 to

10. Hence the smallest number would be 19 and the largest

number would be 100 with the numbers in between being 28,

37, 46….82, 91.

Now C does the same thing.

Hence at the end of C's action the number of pieces would be

(19 + 9n) where n ranges from 1 to 19 (or) (28 + 9n), where

n ranges from 1 to 28…so on till (100 + 9n) where n ranges

from 1 to 100.

Ultimately, all the forms (28 + 9n), (37 + 9n) … (100 + 9n)

reduce to nothing but the form (19 + 9n)

Every number from 28 to 1000 which are of the form

(19 + 9n) could be the number of pieces at the end of C's

action.

Now check the options,

Option (1), 649 = 19 + 9 × 70

Option (2), 469 = 19 + 9 × 50

Option (3), 1000 = 19 + 9 × 109.

4-2

5-4

6-2 The passage takes a relook or a fresh look at Art Nouveau-not

just Art Nouveau exhibitions. This rules out options (1) and

(4). Option 3 is incorrect as the passage does not come to

any definite conclusion about Art Nouveau.

7- . 3 In the passage, the writer castigates the book for its

undecipherable technical jargon, making option (3) as the

correct answer. The other options do not represent the chief

objection of the author.

8.-  1 Art Nouveau is not a deprecation of art but rather needs to be

reassessed. This is what the passage is talking about. Option

1 states the opposite of what is mentioned in the passage.

Option 2 finds a mention in the sixth paragraph. Option 3 is

clear from the first line of the last para- 'the modernists

deprecation' indicates that there would be many modernists

who would not be interested in Art Nouveau.

9 -  4 Refer to the last para where option (4) is clearly mentioned.

Options (2) and (3) are parts of option 4. Option 1 needs more

discussion and substantiation.

10  4 All the sentences are grammatically correct