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1.         Find the sixth number:

1, 2, 6, 42, 1806, ?

1)         3623442            2)         3263442            3)         3326422            4)2443263

2.         There are five different houses, A to E, in a row.  A is to the right of B and E is to the left of C and right of A.  B is to the right of D.  Which of the house is in the middle?

1)         B                      2)         A                      3)         D                      4)         E         

3.         If the letters in PRABA are coded as 27595 and THILAK  are coded 36851, How can BHARATHI be coded? 

1)         96575368          2)         57686535          3)         96855368          4)         37536689

4)         If C= 3, CEP  = 24, then what will be the value of HUX?

1)         47                     2)         49                     3)         51                     4)         53

5.         Mohan travels from a point to east 10 km and turned right and travelled 8 km and turned right travelled 6 km and turned right travelled 5 km.   How far is he from the starting point?

1)         4 km                 2)         6 km                 3)         26 km               4)         22 km

Directions (Q 6-10):  Below is given a question followed by four statements numbered I, II, III and IV.  The question may (or may not) be answered using any or more of the given statements.   You have to decide which of these statements are sufficient to answer the given question.  Pick out the appropriate choices.
6.         How is P related to Q?
            STATEMENTS: I. Q is the father of P.
                                       II. P is a bright student of the class.
                                      III. P is a devoted husband.
                                       IV.  P is the brother of Y.
1.  Only I suffices                       2. I and III suffice.
3. I and either III or IV suffice       4. III and IV suffice.

7.         On which day of the week did Atul reach Bombay?
            STATEMENTS: I. Atul reached Bombay on 16th July.
                                       II. Atul reached Bombay day before Sudha.
                                      III. Sudha reached Bombay on a Friday.
                                       iv. 25TH July is a Saturday.
1. I and IV suffice.                                  2. II and III suffice.
3. I, II and III suffice.                              
4. Either I and IV, or II and III suffice.

8.         Among X, Y and Z who is the most intelligent?
            STATEMENTS: I. X is more intelligent than Y.
                                       II. Z is more intelligent than M.
                                      III. M is more intelligent than N.
                                       IV. X is more intelligent than N.
1. Only I suffices.                                   2. I and IV suffice.
3. I, II and IV suffice.                               4. Still more data needed.

9.         What is the age of Poornima?
            STATEMENTS: I. Poornima is half as old as her mother.
                                       II. Poornima was one-third as old as her mother was
                                             8 years ago.
                                       III. Poornima is 16 years younger than her mother.
                                        IV. 12 years ago her mother was five times as old
                                               as Poornima.
1. I and II suffice.                                                2. I and either II or III suffice. 
3. Either I or II and either III or IV suffice.   4. Any two out of I, II, III,IV suffice.    

10.        Are some gardens wardens?      
STATEMENTS: I. Some gardens are birds.
                                       II. Some wardens are gardens.
                                      III. All birds are wardens.
                                       IV.  No bird is a match box.
1. I and III suffice.           2. I and IV suffice.            3. II and IV suffice.
4. 4. Either II or I and III suffice.  

Direction (Q 11 to 15):  Read the following information and answer the questions that follow:
            i) Eight doctors P, Q, R, S, T, U, V and W visit a charitable dispensary run by Ram Mandir Trust every day except on a holiday i.e. Monday.
            ii) Each doctor’s visit is of 1 hour from Tuesday to Sunday except Saturday.  The timings are 9 AM to 1 PM and 2 PM to 6 PM.  ! PM to 2 PM is lunch break.
            iii) On Saturdays it is open only in the morning, i.e. 9 AM to 1 PM and on this day each doctor’s visit is of half an hour only.
            iv) No other doctor visits the dispensary before Q and after U.
            v) Doctor W comes immediately after lunch break and is followed by R.
            vi) S comes in the same order as P in the afternoon session.

11.         At what time is the visit of Doctor R over on Sunday?
1. 3 pm 2. 4pm              3. 5 pm 4. 1 pm
12.        If lunch break and subsequent visit hours are reduced by 15 minutes, at what time is Doctor U expected to attend the dispensary?
1. 3.15 pm         2. 4.15 pm         3. 4.45 pm         4. 4 pm            
13.          At what time would the visit of T be over on Saturday?
1. 10 am           2. 11 am           3. Either 10 am or 11 am
4. Data inadequate.                   
14.        Doctor P visits in between which of the following pairs of doctors?
1.  R and W       2. S and T         3. U and W        4. R and U        
15.        S appears immediately after Doctor
1. T                   2. V                  3. Data inadequate         4. R     

16.        If it is possible to make a meaningful word using the second, fourth, fifth and seventh letters of the word CAPITALIST, write down the third letter of this word.  If no meaningful word is possible, mark X as your answer.  If more than one such word is possible, mark M as your answer.
1.S                   2.M                   3.X                    4.I                    

17. You are given three primary colours red, blue and yellow.  Now combine these colours and you get the secondary colours.  Again, combine these colours (primary + secondary as well as secondary + secondary) and you get the tertiary colours.  How many colours do you have in all now?  (By combining is meant bringing two colours together)
1.27                  2.15                  3.18                  4.21                 
18.        Kamal’s son is the son-in-law of Achyut’s father.   Rani is Achyut’s only sister.  Kamal has only one grandson Pramod.  How is Pramod related to Rani?
1. Father           2. Uncle            3. Son               4. Brother          .
19.        Arun is fatter than Ram who is thinner than Babu.  Mani is thinner than Arun but fatter than Babu.  Two other men are fatter than Arun.  Who is the thinnest?
1.  Arun 2. Ram              3. Babu             4. Mani

20.        “Cricket” is related to “ball” as “badminton” is related to
1. racquet          2. Shuttlecock               3. net                4. court .
.           Direction (Q 21-25):  Study the following letter/number sequence and answer the questions that follow:

Z U V 5 A 1 E F G H I J 3 K 4 O P Q 6 T S R 2 D C B L M N W X Y

21. which letter or number if 18th to the right of the 26th letter or number from the right?
1. 2                   2.  D                 3.  C                 4. B                 

22.        If the second half of the series above was reversed what would be the answer to Q.11 above?
1.  2                  2.  D                 3. C                  4.  B                

23.        What would be the answer to Q 11 if all the number of the sequence were dropped?
1.  2                  2.  D                 3. C                  4.  B                
24.        What will come in place of the (?) question mark in the sequence below?
            U1F    5FH    1HJ      (?)
1.  FJ4              2.  FHK 3. FJ3               4.   FJK
25.        If only the letters from E to Q were written in the reverse order and other letters were left unaltered, which letter would be 10th to the right of the 32nd letter from the right?
1.  K                 2.  L                  3.  M                 4.  4                

DIRECTIONS :  Q.  26  TO 30:   -- Non verbal reasoning  (as per annexure 1)

Directions (Q 31-35):  In each question below, there are two or three statements followed by four conclusions numbered I, II, III and IV.   You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.

31.        STATEMENTS:  All birds are books.
                                           All books are quarters.

            CONCLUSIONS: I.  All birds are quarters.
                                          II.  Some quarters are birds.
                                         III. Some quarters are books.
                                         IV. Some books are birds.
1.  I, II and III follow.                    2. II, III and IV follow.
3.  I, III and IV follow.                  4..  All follow.

32.        STATEMENTS:  Some books are novels.
                                          All novels are dishes.
            CONCLUSIONS:    I.  Some books are dishes.
                                            II. Some books are not dishes.
                                           III. Some dishes are novels.
                                           IV. Some dishes are not novels.
1. Either I or II follows     2. Either III or IV follows.
3. Either I or II, and III or IV follow.
4. I and III follow.                       

33.        STATEMENTS:   Some desks are pens.
                                           No pen is a paper.

            CONCLUSIONS; I.  Some desks are papers.
                                          II. Some desks are not papers.
                                         III. No desk is paper.
                                          IV.  No paper is a pen.
1.  Only II and IV follow.              2. Either I or II follows.
3. Either I or III follows.               4. Only II and III follow.

34.        STATEMENTS:  All boys are girls.
                                          No books are boys.
            CONCLUSIONS:  I. Some books are girls.
                                          II. Some books are not girls.
                                         III. Some girls are books.
                                         IV. Some girls are not books.
1.  Either I or II follows.               2. Either III or IV follows.
3. Only II and IV follow.               4. Either I or II and IV follow.

35.        STATEMENTS:  All books are pens.
                                          All books are tigers.
            CONCLUSIONS:  I.  Some pens are books.
                                          II. Some pens are tigers.
                                         III. Some tigers are pens.
                                         IV. Some pens are not tigers.
1.  Only I and III follow.               2. Only II and III follow.
3.  Only I follows.                       4. I, II and III follow.

36.        How many pairs of letters are there in the word CIGARETTE which have as many letter between them as in the alphabet?
1.  One             2. Two               3. Three            4. Four             

37.        What will be the last letter of the word made of the first, sixth, ninth and tenth letters of the word SUPPLEMENT?   If no such word can be made, give M as your answer.  If more than one such word can be made, give P as your answer.
1.  S                 2. N                  3. T                   4. P.

38.        If COLOUR is called MUSIC, MUSIC is called ENGINE, ENGINE is called CAR, CAR is called CARAVAN, CARAVAN is called TENT, and TENT is called IGLOO, then what do soldiers on battlefield live in?
1.  CAR 2. CARAVAN                 3. IGLOO          4. TENT           

39.        SONG is related to COMPOSER in the same way as FILM  is related to:

40.        If ANACONDA is written as ANADNADN in a certain code, how will MOVEMENT  be written in the same code?
1. MOVFLENT               2. MOVFLTNE               3. VOMFLTNE               4. VOMDNTNE 

            Directions (Q 41-45):  In making decisions about important questions, it is desirable to able to distinguish between ‘strong’ arguments and ‘weak’ arguments insofar as they relate to the question.   ‘Strong’ arguments are those, which are both important and directly related to the question.  ‘Weak’ arguments are those, which are of minor importance and also may not be directly related to question or may be related to a trivial aspect of the question.
            Each question below is followed by two arguments numbered I and II.  You have to decide which of the arguments is a ‘strong’ argument and which is a ‘weak’ argument.  Give answer (1) if only argument I is strong; give answer (2) if only argument II is strong; give answer (3) if both I and II are strong; give answer (4) if neither I nor II is ‘strong’;

41.        STATEMENT: Should economic theories be fully believed?
            ARGUMENTS: I.  Yes, they have led to success in certain conditions.
                                      II. No, they are imperfect constructs made to suit the changing
42.        STATEMENT: Should the present government be blamed for inflation?
            ARGUMENTS: I.  Yes, the weather conditions have not been favourable during
                                             the present government’s tenure.
                                     II. No, inflation was already showing an upward trend when the                   
                                           present government took over.
43         STATEMENT :   Should politicians having more than two children be not                                                                                                               allowed to contest elections?
            ARGUMENTS:   I.  Yes, it would reform the politicians and therefore the                                     
                                        II. No, it would eliminate many able politicians.
44.        STATEMENT:  Should man be self-centered?
            ARGUMENTS:    I.  Yes, only when a man fulfils his own need can he help                                                               others.
                                           II.  No, man is not an animal.
45.        STATEMENT:   Should one speak lies?
            ARGUMENTS:      I.  Yes, they hide unpleasant facts.
                                          II. No, one would get caught very soon in the internet age.

Directions.  Q 46-49:  Read the following information and answer the questions given below:
I.          A factory holds a competition to decide “Best Performance” and “Most Popular” awards.  Each worker gives marks out of 100 for ‘performance’ as well as ‘popularity’ for nominated six workers.
II.          A,B, C, D, E and F are six workers who are given ranks separately for ‘performance’ and ‘popularity’ on the basis of marks obtained by them.
III.         The ranking for ‘performance’ given in descending order on the basis of marks obtained by the six workers was such that ‘A’ was fifth and ‘F’ was first.  ‘B’s marks on performance were slightly lower than’F’ but slightly better than ‘E’.  ‘D’s rank in one case was sixth and in other it was fourth.  D’s marks on performance were slightly better than A.
IV.        When the ranks for ‘popularity’ were given in ascending order of their marks, with rank one for least popular and rank six for most popular.   E’s rank remains unchanged but C’s rank was replaced by D and A replaced  B’s rank.
Q.46.    Who was most popular?
1. D                  2. C                  3. B                  4. Data inadequate        
Q.47.    Who among the following is likely to have lower marks in performance as well as popularity?
1. B                  2. A                  3. E                  4. D                             
Q.48.    Who got lowest marks in performance?
1. A                  2. B                  3. C                  4. Data inadequate        
Q.49.    What rank ‘F” received on popularity?
1. One              2. Two               3. Six                4. Data inadequate        

            Directions . Q.50-53:  Read the following information and answer the questions given below:

I.          There is a rectangular wooden block of length 4 cm, height 3 cm and breadth 3 cm.
II.          The two opposite surfaces of 4 cm x 3 cm are painted from outside by yellow colour.
III.         The other two opposite surfaces of 4 cm x 3 cm are painted from outside by read colour.
IV.        The remaining two surfaces of 3 cm x 3 cm are painted from outside by green colour.
V.         Now, the block is cut in such a way that cubes of 1 cm x 1 cm x 1 cm are created.

Q.50.    How many cubes will have only one colour?
1. 10                 2. 12                 3. 14                 4. 18                
Q.51.    How many cubes will have no colour?
1. 1                   2. 2                   3.  4                  4. 8                  
Q.52.    How many cubes will have all the three colours red, yellow and green?
1. 24                 2. 20                 3. 16                 4. 8
Q.53.    How many cubes will have any two colours?
1. 32                 2. 24                 3. 16                 4. 12                
Q.54.    In a class  Bijoy ranks 8th from the top and Satish 29th from the bottom.  How many students are there in the class?
1. 37                 2. 35                 3. 38                 4. can’t be determined

Q.55.    How many 3s are there in the following number series which are followed by 6 as well as preceded by 8?
            3 6 6 8 3 6 6 8 3 6 8 3 6 3 8 3 6 3 8 3 3 8 3 3 9
1. One              2. Two               3. Three                        4. Four             

            Directions. Q 56-60:   In an office there are eight sections named as I, II, III, IV, V, VI, VII and VIII.   No visitor is allowed to visit one section for more than an hour.  If a visitor has to visit more than one section he has to come back to security officer to get fresh visitor’s pass by surrendering earlier section’s pass.

            Every hour the security officer generates seven pass word for all section by choosing a set of seven words, which is used for Section I which is reception-cum-visitors hall.  Following is an illustration of generation of seven pass words for each section.

            Section I:  sri am cue way meat fro le
            II:              le cue am way meat fro sri
            III.             cue le way am meat si  fro
            IV:             fro way le am meat sri cue
               V:              way fro am le meat cue sri
            and so on till Section VIII.

56.        A visitor was given a pass word ‘pit sy me ole try je no’.  If at that time the password for Section I was ‘me no pit je try ole sy’, which of the following sections the visitor wanted to visit?
1. III                  2. IV                 3. VI                 4. VII    
57.        A visitor for Section VII had following password ‘rye fu che it can si pecha’.  What was password for Section I at that time?
1. che pecha rye si can it fu                    2. pecha che fu it can si rye
3. fue rye pecha si can it che                  4. rye fu si pecha che can it

58.        A visitor wanted to visit Section VI but he was wrongly given password for Section IV ‘ear two it rye sit he wu’.  What would be his correct password for Section VI, if hourly password remains the same?
1. he rye ear it sit wu two                                    2. two ear rye it sit wu he
3. wu it two rye sit he ear                                    4. rye he it ear sit two wu

59.        If the first two words of password of Section III are ‘lie spell’ for which of the following section’s pass word will begin with the same two words in the same sequence?
1. V                  2. VII                 3. IV                 4. VIII
60.        A visitor visited Section II in the first fifteen minutes of a new hourly code and wanted to visit Section VI.  If his password for Section II was ‘ne mew fu six also bet ga’, what would be his password for Section VI?
1. six bet fu also mew ga ne                   2. ga fu bet ne also mew six
3. six fu bet ga ne also mew                   3. fu ga ne bet six also mew

Q.61.    ‘Table’ is related to ‘writing’ in the same way as ‘_______’ is related to cooking?
1. cooker           2. cook             3. stove             4. cylinder        

Q.62.    Pointing to a woman, a man says: “She is the mother of my son-in-law’s brother’s only sistern-in-law”.  How is the woman related to the man?
1. mother          2. wife               3. sister                        4. mother-in-law

Q.63.    Rajesh and Amutha have 4 persons between them while they sit on a circular table.  How many persons sit on the table?
1. 2                   2. 6                   3. 7                   4. can’t be said 

Q.64.    Four of the following five are alike in a certain way and hence form a group.  Which of these does not belong to the group?
1. Bat               2. Whale           3. Man              4. Cellulose
Q.65.    Which of the following would come in place of the question mark if the letter series given below was to be continued?
            AXM                 BYN                 DZP                  ?         
1. GBS             2. GAR             3. EAR              4. GAS

            Directions (Q 66-67): In a certain code language:
            I. ‘do po ta’ means ‘She is beautiful’.
            II. ‘po ho no’ means ‘Who is Rahman’.
            III. ‘ta suk duk’ means ‘She could  kill’.
Q.66.    What is the code for  beautiful?
1. do                 2. po                 3. ta                  4. can’t be determined

Q.67.    To find the answer to the question No.66, which of the statements was unnecessary?
1. only I             2. Only II           3. Only III          4. All have to be used.

Q.68.    How many 7’s are there in the following sequence that are preceded by an even number and not followed by a prime number?
            2 7 2 4 3 7 4 7 1 6 8 7 2 6 7 4 3 1 7 5 4 7 4
1. None             2. One              3. Two               4. Three                       
Q.69.    If 1 is coded as P, 2 as Z, 3 as C , 4 as R, 5 as J, 6 as W, 7 as N, 8 as G and 9 as Q, then which of the following is the code for 78961472?
Q.70.    Ram is taller than Shyam but Shorter than Mohan.  Madan is taller than Mohan but shorter than Sudha?  Who is the tallest?
1.  Ram             2. Shyam          3. Mohan           4. Sudha          

 1.2        2.2        3.1        4.4        5.1        6.3        7.4        8.4        9.4        10.4

11.2      12.3      13.3      14.4      15.3      16.4      17.3      18.3      19.2      20.2

21.3      22.2      23.3      24.4      25.1      26.2      27.1      28.3      29.1      30. 2

31.4      32.4      33.1      34.4      35.4      36.2      37.4      38.3      39.2      40.3

41.2      42.2      43.3      44.4      45.2      46.4      47.4      48.3      49.4      50.1

51.2      52.4      53.3      54.4      55.4      56.4      57.3      58.1      59.4      60.2

61.3      62.2      63.4      64.4      65.4      66.1      67.4      68.3      69.4      70.4

1.         1 x 1 + 1, 2 x 2 + 2,  6 x 6 + 6,   same way 3263442

Qn.6. 3; From I it’s obvious that P is either a son or a daughter of Q.  All we now need to know is the sex of P.  This can be known from either III (a husband is a male) or IV (a brother is a male).
Qn.7. 5;  From I we know that Atul  reaches on 16th July.  Now all we need to know is the day on 16th July.  But if we know the day of any other date (25th July e.g.) we can find the day on 16th July.  Alternatively, from III and II we can easily friend that Atul reached Bombay on a Thursday.
Qn.8.  5    From I,  X > Y.
                   From II, Z > M
                 From III,  M > N
                 From IV,  X > N.
        We can’t compare X and Z by this data.
Qn.9 . 4; There are two unknowns (Sudha’s age and her mother’s age).  We see that the two unknowns can be found if we have two informations.  Hence picking any two informations from I, II, III and IV will suffice.
Qn.10.  4; Can be answered by II alone.  Or else, I and III give Some gardens are wardens as conclusion by rule I + A = I of syllogism

Qn 11 to 15:  I.  From (ii) and (iii) we conclude that Tuesday to Sunday we have 8 hours work with each of the 8 doctors visiting for 1 hour each while on a Saturday we have 4 hours work with each doctor visiting for ½ hour each.
                II.  Let us now find the order of the doctors.  From (iv) it is obvious that Q is the first and U is the eight doctor.  From (v) it is obvious that W is the first after lunch, i.e. fifth in the overall order while R is the sixth.  Now from (vi) we know that P comes in the afternoon session.  So P must be the seventh (third in the afternoon) because fifth, sixth and eight positions are already occupied by W, R and U, respectively.  Now S comes in the same order as P in afternoon session.  S must be the third in the morning session.  That we have the order  (Q, ?, S, ?, W, R, P, U)
(The ? marks are occupied by T or V)
11. 2.  On a Sunday, R is second after lunch.  So, his visit will be over at 4 PM.
12.  3. If lunch is reduced by 15 minutes, lunch hour finishes at 1.45 PM.   1st visit after lunch finishes after next 45 minutes i.e. at 2.30 pm, second after next 45 i.e. at 3.15 pm, third after next 45 i.e. at 4.00 pm and forth i.e. visit of U at 4.45 pm.
13.  3.  Visits are of half an hour on Saturday.  Since T is either the second or the fourth to make his visit, his visit will end at O.00 am + 2 X 30 minutes or 9.00 am + 4 X 30 minutes.  i.e., 10 or 11AM.
14.   4
15.  3 .  S may be preceded by either T or V.

Qn. 16. 4; The letters are A, I, T and the word formed by them is TAIL.
Qn. 20. 2.  Just as a ball moves all over the cricket filed, similarly a shuttlecock moves all over the badminton court.
Qn.21. 3 Quick Method: 18th letter to the right of the 26th letter from right = 26-18 = 8th letter from right = C.
Qn.22. 2. Quick Method:  Now, 8th letter from right when second half (only) is reversed = (16-8)+1 = 9th letter from right when the series is not reversed.  This is D.
Qn.23.  3; Counting 8th letter from the right we don’t come across any number, so there won’t be any effect of dropping numbers from the sequence.
Qn.24. 4; F or U1F goes to middle in 5FH.  So, J from IHJ goes to middle in FJK.  1from U1F goes to first in 1HJ.  So F from 5FH goes to first in FJK.  Finally, K is at a gap of 2 letters from J; so K goes to third in FJK.

Qn.31. 4; Conclusion II follows from conclusion I itself.  Conclusion III follows directly from the second statement while IV follows directly from the first.
Qn.32. 4; Conclusion III follows directly from the second statement.
Qn.33.  1; Conclusion II follows.  Conclusion IV follows directly from the second statement by converting it

Qn.34. 4; First change the order of the sentences to align them:
              No books are boys (Type E)
              All boys are girls    (Type A)
    E + A = O reversed, we have: ‘Some girls are not books’ as conclusion.  Hence, IV follows.  Further, conclusions I and II  make a complementary pair; hence either of them must be true.
Qn.35. 4; Conclusion I  follows directly from the first statement (on conversion).

Qn. 36. 2         C I G A R E T T E   ---  I  & E,   R & T

Qn.37. 4; The letters are S, E, N and T which may be made into the words SENT, NEST, NETS AND TENS.

Qn.38.  3; Soldiers usually live in barracks, but in a battlefield they live in tents.  Here tent is called igloo.

Qn.39.   2; The composer scores music for a song.  In other words, he directs the song and is therefore also called music director.

Qn.40.  3; The first three letters are written in reverse order and so are the last three.  The fourth letter moves one-step ahead and fifth one step backward

Qn.41. 2; I is a weak argument.   In fact, the argument highlights its own weakness by using the words “ in certain conditions”,  which means the theories do not have a universal acceptance.  Hence they cannot be fully believed.
              II is a strong argument because it pinpoints the inherent weakness in economic theories.
Qn.42.  2; I is not strong; weather conditions are not determined by the government.  How can you blame someone for something that is beyond his control?
                  II is strong because it tells us that the present predicament is not entirely of this government’s doing.  Hence the blame is unjustified.
Qn.43. 3; I is strong because such a desirable effect is most welcome.  II is strong in  its own right as well because doing something at the cost of efficiency is sheer stupidity.
Qn.44. 4; I is weak because the arguer seems not to have understood the meaning of “self-centered”.  If a man helps others, how can he be called self-centered?  It is a vague argument.
Qn.45  2; I is not strong because ‘hiding’ is not the same as ‘undoing’.  Such short-term benefits often boomerang in the long run.
             II is strong because even that ‘long run’ has not become very, very short.  The internet age has the following message: “ You shall get caught.  And very soon.”.

For Qns.46 to 49:  The given data, can be tabulated as given below:

            Name                            Performance Order         Popularity Order

            A                                              V                                  II
            B                                              II                                   --
            C                                              VI                                 --
            D                                              IV                                 VI
            E                                              III                                  III
            F                                              I                                  --
For Qns. 50 – 53:     Please draw diagram as given in the problem. 
Q50. 1;  2+ 2 + 2+ 2 + 2 + 1 + 1 = 10 cubes will have only one colour.   Other sides are painted  since they are hidden inside.
Q.51. 2;   Two cubes cut out of wood lying inside will have no colour.(hidden inside)
Q.52. 4;   4 x  2 = 8 cubes will have all the three colours.  (cubes cut out of top/bottom wood on all four sides.)
Q.53. 3;  Similarly 2 +2+2+2+4+4 = 16   cubes will have two colours.

For Qns. 56-60:  Following rules are followed to generate the password in order to visit a particular section.
            For Section II, first and last words of pass word for section I are interchanged, and so also the second and third words.
            For Section III, first and second words are inter changed third and fourth words, and sixth and seventh words of the password of Section II.
            Passwords for other sections may be obtained by repeating the above steps alternately.
Q.56.  Given password for Section I as ‘me no pit je try ole sy’
According to the above assertions, other passwords would be as follows:
            Section II:          sy pit no je try ole me
            Section III:         pit sy je no try me ole                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
               Section IV:     ole je sy no try me pit
               Section V       je ole no sy try pit me
            Section VI:        me no ole sy try pit je
            Section VII:       no me sy ole try je pit
            Section VIII:       pit sy me ole try je no
Hence the visitor wanted to visit Section VIII.
Q.57. From given password for Section VII, other generated passwords are:
            Section VI:        fu rye it che can pecha si
            Section V:         si it rye che can pecha fu
            Section IV:        it si che rye can fu pecha
            Section III:         pecha che si rye can fu it
            Section II:          che pecha rye si can it fu
Hence, the password for Section I is  fu rye pecha si can it che
Q.58. From the given password for Section IV, passwords for other sections are:
            Section V:         two ear rye it sit wu he
            Section VI:        he rye ear it sit wu two
Q.59. From Q 56, it is clear that the first two passwords for Section III repeat in the same sequence in the password for Section VIII.
Q.60.. From the given password for SectionII, other generated passwords are:
            Section III:         mew ne six fu also ga bet
            Section IV:        bet six ne fu also ga mew
            Section V:         six bet fu ne also mew ga
            Section VI:        ga fu bet ne also mew six

Q.61. 3; We ‘write’ on a ‘table’.  We ‘cook’ on a ‘stove’.
Q.62. 2; A’s brother’s only sister-in-law = A’s wife
            Therefore Son-in-law’s brother’s only sister-in-law
            = son-in-law’s wife = wife.
Q.63. 4; The given information is not sufficient.
Q.64.4; Cellulose is not a living thing.
Q.65.4; The first and the third letters form a ‘skip none, skip one, skip two’ sequence.  A,B,D,G; M,N,P,S.  The second letter forms a ‘skip none, skip none, skip none” sequence: X,T,Z,A.
Q.66.1; From I and II we find that the code for ‘is’ is ‘po’.  From II and III we find that the code for ‘she’ is ‘ta’.  Therefore, in I, the code ‘do’ must stand for ‘beautiful’.
Q.67. 4; All have to be used.
Q.68. 3;  (two)
            2 7 2 4 3 7 4 7 1 6 8 7 2 6 (7) 4 3 1 7 5 4 (7) 4
Q.70. 4; Sudha > Madan > Mohan > Ram > Shyam

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