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                                GATE Aptitude Sample Paper
  Questions 1 to 5 carry one mark each

  1. Sentence: .The Enron debacle, a record number of restatements and a spurting in high
  profile accounting scandals have given mainstream accountants every reason to
  heads in shame.

  From the following options, choose the best option to replace the underlined part in the
  sentence above

        A.   and a spurt in high profile accountings scandals
        B.   and a spurting in high profile accounting scandals.
        C.   and a spurting of high profile accountancy scandals
        D.   with a spurt in high profile accountancy scandals


  2. Fill in the blanks in the following statement from one of the options given below
  Unlike their civilian counterparts, the army _______ are quick in completing enquiries, and
  therefore their report should be _______ before lon
        A. legislations ..... public                    B. headquarters .... consigned
        C. courts ..... available                       D. machinery ..... commissioned

  3. The relationship expressed in Philatelist : Stamps is similar to the relationship expressed in
  which of the following

        A. Pawnbroker : Jewelry                         B. Numismatist : Coins
        C. Astrologer : Predictions                     D. Doctor : Patient

  4. Choose the odd one out of the following

        A. Taxidermist                                  B. Dermatologist
        C. Pediatrician                                 D. Gynecologist

  5. Each statement numbered from 1 to 4 has three segments. Choose the alternative where
  the third segment in the statement can be logically deduced using both the preceding two, but
  not just from one of them.

  1.   Reading enhances knowledge; writing enhances reading; writing is equivalent to reading.
  2.   No dodos are gogos; this is a dodo; this can’t be a gogo.
  3.   Sabatini won the tournament; Martinez lost the tournament, Martinez is a better player.
  4.   Clerks are typists; typists are computer - savvy; clerks are not computer - savvy.

        A. C and D           B. B and D             C. Only B      D. A and C
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   Questions 6 to 10 carry two marks each


           Information for Question No. 6

           The bar graph shows the income of a company ABC from the year 2003 to 2007(in crores)


     100                                                    90
      90                                      85
      80                                                                    75
                 70
      70                        60
      60
      50
      40
      30
      20
      10
       0
                2003          2004           2005           2006           2007

           6. In which of the following years is the income of the company ABC more than its average
           income for the given period?

               A. 2006 only                                                B. 2005 and 2006
               B. C. 2005, 2006 and 2007                                   D. None of the above

           7. A teacher must constantly evaluate her own attitudes because her influence can be
           deleterious if she has personal prejudices. This is especially true in respect to controversial
           issues and questions on which students should be encouraged to reach their own decisions.

           The teacher should allow children to reach their own decisions because

               A.   the teacher has already evaluated her own attitude
               B.   the teacher’s influence can be harmful
               C.   in controversy the teacher should not take sides
               D.   Students should get training in decision-making.

           8. Complete the series: 4, 3, 5, 9, 12, 17 --

                    32                         B. 30                       C. 24                  D. 26

           9. If G(0)=-1, G(1)=1, G(N)=G(N-1) - G(N-2), then G(5)= ?

                    0                          B. 2                C. -2           D. Cannot be determined

           10. Three pipes A, B and C can fill a cistern in 3 hours. After working at it together for 1 hour
           C is closed and A and B together can fill it in 3 hours 30 minutes. The time taken by C alone to
           fill the cistern is

               A. 8 hours                      B. 7 hours                  C. 6 hours             D. 5 hours
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       Answer Key and topic wise classification

       Q. No    Answer    Topic                          Difficulty Level (1 – easy, 5 – very difficult)
       1        A         English Grammar                3
       2        C         Sentence Completion            3
       3        B         Word Analogies                 3
       4        A         Word Groups                    4
       5        C         Verbal Deductions              4
       6        B         Data Interpretation            3
       7        C         Critical Reasoning             4
       8        D         Numerical Reasoning            4
       9        C         Numerical Estimation           4
       10       B         Numerical Computation          4

       Explanations

       3. A philatelist is a person who collects stamps while a numismatist is a person who collects
       coins as a hobby.

       4. A taxidermist is a person who engages in stuffing dead animals and preserving them while
       the other three are types of doctors

       6. The average income for the given period is (70+60+85+90+75)/5 = 76 crores. Now, the
       income in 2006 is 90 crores and the income in 2005 is 85, which are both greater than 76
       crores.

       8. 5 + 4 = 9, 3 + 9 = 12, 5 + 12 = 17. Therefore, the last number is 9 + 17 = 26

       9. G(5) = G(4) – G(3) = G(3) – G(2) – G(3) = -G(2) = -(G(1) – G(0)) = -(1-(-1)) = -2

       10. The fraction of work done by A, B and C together in 1 hr = 1/total time = 1/3rd. Hence,
       remaining work = 1-1/3 = 2/3 . Now, this 2/rd of the work is done by A and B (as C leaves)
       in 7/2 hrs. Hence time taken by A and B to complete total work = 7/2 x (1/(2/3)) = 7/2 x 3/2
       = 21/4 hrs. Thus we have the equation; (1/C + 1/(A+B)) = 1/3, where C is the time taken by
       C alone to do the job, (A+B) represents the time taken by A and B to do the total job. We
       know A+B = 21/4, thus we get C = 7 hrs.

       Alternate Method:

       Let a, b and c be the rates or speeds of doing work for A, B and C respectively. The first step
       is to calculate the LCM of all the “times” given in the question ie 3 hrs and 3.5 hrs. The LCM is
       21. Let us now assume the total work to be 21 units (this assumption will not make any diff in
       the final answer).

       Now, A, B and C working together take 3 hrs to finish 21 units. Therefore the total rate of
       working when they work together = Total work/total time taken = 21/3 = 7 units/hr.
       In other words, a +b + c = 7. Now, in the first 1 hr, all three work together. Thus they will

       Hence, remaining work units = 21-7 = 14. These 14 units are completed by A and B in 3.5
       hrs. Thus, total rate of working for A and B together = a + b = Work units/ time taken =

       From this, we get c = 7 – 4 = 3 units/hr.
       Therefore, time taken by C to complete the total work alone = Total work units/ rate of
       working for C = 21/c = 21/3 = 7 hrs.

				
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