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Questions 1 to 5 carry one mark each1. Sentence: .The Enron debacle, a record number of restatements and a spurting in highprofile accounting scandals have given mainstream accountants every reason to hang theirheads in shame.From the following options, choose the best option to replace the underlined part in thesentence aboveA. 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 scandalsD. with a spurt in high profile accountancy scandals

2. Fill in the blanks in the following statement from one of the options given belowUnlike their civilian counterparts, the army _______ are quick in completing enquiries, andtherefore their report should be _______ before long.A. legislations ..... publicB. headquarters .... consigned

C. courts ..... availableD. machinery ..... commissioned

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

A. Pawnbroker : JewelryB. Numismatist : CoinsC. Astrologer : PredictionsD. Doctor : Patient

4. Choose the odd one out of the followingA. TaxidermistB. DermatologistC. PediatricianD. Gynecologist

5. Each statement numbered from 1 to 4 has three segments. Choose the alternative wherethe third segment in the statement can be logically deduced using both the preceding two, butnot 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 cant 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 DB. B and DC. Only BD. A and C

Questions 6 to 10 carry two marks eachInformation for Question No. 6The bar graph shows the income of a company ABC from the year 2003 to 2007(in crores)In which of the following years is the income of the company ABC more than its average

income for the given period?

A. 2006 onlyB. 2005 and 2006C. 2005, 2006 and 2007

D. None of the above

7. A teacher must constantly evaluate her own attitudes because her influence can bedeleterious if she has personal prejudices. This is especially true in respect to controversialissues and questions on which students should be encouraged to reach their own decisions.The teacher should allow children to reach their own decisions becauseA. the teacher has already evaluated her own attitude

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B. the teachers influence can be harmfulC. in controversy the teacher should not take sidesD. Students should get training in decision-making.

8. Complete the series: 4, 3, 5, 9, 12, 17 --A. 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)= ?A. 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 hourC is closed and A and B together can fill it in 3 hours 30 minutes. The time taken by C alone tofill the cistern isA. 8 hours B. 7 hours C. 6 hours D. 5 hours

GATE10 Aptitude Section Sample paperwww.gateforum.com

Answer Key and topic wise classificationQ. No Answer

1 A

2 C3 B4 A5 C6 B7 C8 D9 C10 B

Explanations3. A philatelist is a person who collects stamps while a numismatist is a person who collectscoins as a hobby.4. A taxidermist is a person who engages in stuffing dead animals and preserving them whilethe other three are types of doctors6. The average income for the given period is (70+60+85+90+75)/5 = 76 crores. Now, theincome in 2006 is 90 crores and the income in 2005 is 85, which are both greater than 76crores.8. 5 + 4 = 9, 3 + 9 = 12, 5 + 12 = 17. Therefore, the last number is 9 + 17 = 269. G(5) = G(4) G(3) = G(3) G(2) G(3) = -G(2) = -(G(1) G(0)) = -(1-(-1)) = -210. 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 = 2/3rd. 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 byC alone to do the job, (A+B) represents the time taken by A and B to do the total job. Weknow 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 stepis to calculate the LCM of all the times given in the question ie 3 hrs and 3.5 hrs. The LCM is21. Let us now assume the total work to be 21 units (this assumption will not make any diff inthe final answer).Now, A, B and C working together take 3 hrs to finish 21 units. Therefore the total rate ofworking 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 willcomplete 7 units in that 1 hr.Hence, remaining work units = 21-7 = 14. These 14 units are completed by A and B in 3.5hrs. Thus, total rate of working for A and B together = a + b = Work units/ time taken =14/3.5 = 4 units/hr.

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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 ofworking for C = 21/c = 21/3 = 7 hrs.