> INFOSYS(1998-99) > > LOGICAL THINKING TEST > --------------------- > Time : 1 hour > Total Marks : 50 > > ALL QUESTIONS DO NOT CARRY EQUAL MARKS > > INSTRUCTIONS > > * Please do not write/mark on the question paper. > > * Read the questions carefully. Work your answers carefully > and as > rapidly as possible. > > * Do not spend too much time on questions that seem difficult > for you. > If time permits go back to the ones you have left out. > > * Answer sheets have been provided to you separately. Use the > first > sheet to write your answers and use the remaining sheets for > the > detailed working. > > * On completion, please put your answer sheet along with the > working > sheets, inside the question paper and hand them back to us. > > * There is no negative marking. > > > Do not turn the page until you are told to do so. > > > > > > 1. 2 Marks > > When Arthur is as old as his father Hailey is now, he shall be > 5 times > as old as his son Clarke is now. By then, Clarke will be 8 > times older > than Arthur is now. The combined ages of Hailey and Arthur are > 100 > years. How old is Clarke ? > > 2. 3 Marks > > I have one orange glass containing orange juice and another > white glass > containing apple juice. I take 50 ml of orange juice and mix it > with > apple juice in the white glass. Then I take 50 ml of this > mixture and > transfer it back to the orange glass. > If you compare amount of apple juice in the orange glass and > amount of > orange juice in the white glass which is more than the other > and by > how much ? > > 3. 3 Marks > > The seven digits in this subtraction problem are > 0,1,2,3,4,5 and 6. > Each letter represents the same digit whenever it occurs. > > > D A D C B > > E B E G > > -------------------- > > B F E G > > -------------------- > > What digit is represented by each letter ? > > > 4. 4 Marks > > The Jones have named their four boys after favourite > relatives; their > friends, the Smiths, have done the same thing with their three > boys. > One of the families has twin boys. From the following clues, > can you > determine the families of all seven children and their ages ? > > i) Valantine is 4 years older than his twin brothers. > ii) Winston, who is 8, and Benedict are not brothers. They are > each > named after a grandfather. > iii) Briscoe is two years younger than his brother Hamilton, > But three > years older than Dewey. > iv) Decatur is 10 years old. > v) Benedict is 3 years younger than Valentine; they are not > related. > vi) The twins are named for uncles. > > > 5. 4 Marks > > Motorboat A leaves shore P as B leaves Q; they move > across the lake at > a constant speed. They meet first time 600 yards from P. Each > returns > from the opposite shore without halting, and they meet 200 > yards from > Q. How long is the lake ? > > > 6. 4 Marks > > Fanta, Pepsi and Citra often eat dinner out. > > a) Each orders either coffee or tea after dinner. > b) If Fanta orders coffee, then Pepsi orders the drink that > Citra orders. > c) If Pepsi orders coffee, then Fanta orders the drink that > Citra does > not order. > d) If Citra orders tea, then Fanta orders the drink that Pepsi > orders. > > Which person/persons always orders the same drink after dinner > ? > > > 7. 6 Marks > > On the Island of imperfection there is a special road, > Logic Lane, on > which the houses are usually reserved for the more mathematical > inhabitants. > > Add, Divide and Even live in three different houses on this > road (which > has houses numbered from 1-50). One of them is a member of the > Pukka Tribe, > who always tell the truth; another is a member of the Wotta > Tribe, who never > tell the truth; and the third is a member of the Shalla Tribe, > who make > statements which are alternately true and false, or false and > true. > > They make statements as follows : > > ADD : 1 The number of my house is greater than that of > Divide's. > 2 My number is divisible by 4. > 3 Even's number differs by 13 from that of one of the > others. > > DIVIDE : 1 Add's number is divisible by 12. > 2 My number is 37. > 3 Even's number is even. > > EVEN : 1 No one's number is divisible by 10. > 2 My number is 30. > 3 Add's number is divisible by 3. > > Find to which tribe each of them belongs, and the number of > each of > their houses. > > > 8. 8 Marks > > > The names of the inhabitants of Walkie Talkie Land sound > strange to the > visitors, and they find it difficult to pronounce them, due to > their > length and a few vowel sounds they contain. The Walkie Talkie > guide is > discussing the names of four inhabitants - A,B,C and D. Their > names > each contain upto eight syllables, although none of the four > names > contain the same number. Two of the names contain no vowel > sounds; one > contains one vowel sound; and one contains two vowel sounds. > > From the Guide's statements below, determine the number of > syllables > and vowel sounds in each of the four Walkie Talkie names : > > i) The one whose name contains two vowel sounds is not A. > ii) C's name does not contain more than one vowel sound or > fewer than > seven syllables. > iii)The name with seven syllables does not contain exactly one > vowel > sound. > iv) B and C do not have names with the same number of vowel > sounds. > v) Neither the name with five syllables nor the name with > seven syllables > contains more than one vowel sound. > vi) Neither the name with six syllables, nor the B's name, > contains > two vowel sounds. > > > 9. 8 Marks > > > Multiplication and Division. > > > (1) - - - - - (a) (2) _ _ . _ (d) > ________________ > - - - (b) - - -) - - - - - . 0 > _________________ - - - > _______________ > - - - - - > - - - - - - - - - > ___________________ - - - > _______________ > - - - - - - - (c) > - - - > - - - > ======== > > (1) and (2) represent the same two numbers - in one case > multiplied > 9together, in other case divided. > > Given that there are no 3's. find the missing digits indicated > as > (a), (b), (c) and (d) above ? > > 10. 8 Marks > > Two identical twins have a very unusual characteristic. > One tells > nothing but lies on Mondays, Wednesdays and Fridays, and tells > nothing > but the truth all other days. The other tells nothing but lies > on > Tuesdays, Thursdays and Saturdays, and tells nothing but the > truth > all other days. On Sundays both children speak the truth. > > 1) Which of the following statements can be deduced from the > information presented ? > > i) If it is Sunday, the twins will both say so. > ii) If it is not Sunday,one twin will give the correct day > and > the other will lie about everything. > iii)On any given day, only one twin will give his correct > name. > > a) i only > b) i and ii only > c) i and iii only > d) ii and iii only > e) i,ii and iii > > 2) According to the information presented, which of the > following > conversations will be impossible. > > a) Twin A : "Today you are a lier" > Twin B : "You are telling the truth" > > b) Twin A : "Today you are a lier" > Twin B : "Today I am a truthteller" > > c) Twin A : "Tommorow I shall be a lier" > Twin B : "That's correct" > > d) Twin A : "Tommorow you will be a lier" > Twin B : "Today you are a truthteller" > > e) Twin A : "Yesterday we were both truthtellers" > Twin B : "You are lying" > > 3) Assume that the twins followed a different set of > rules, so that on > a given day both told only the truth while next day > both only lied, > alternating days of truth telling and lying. Under these > rules,which > of the following conversations would be possible ? > > a) Twin A : "Today you are a lier" > Twin B : "That is correct" > > b) Twin A : "Today you are a lier" > Twin B : "That is not so" > > c) Twin A : "Tommorow we will be liers" > Twin B : "Yesterday we were truthtellers" > > d) Twin A : "Tommorow we will be liers" > Twin B : "You are 1 year older than I am" > > e) Twin A : "We always tell the truth" > Twin B : "We some times tell the truth" > > 4) If the twins are heard saying the following on the same > day, which > choice presents a correct statement ? > > Twin A : "It is Sunday Today" > Twin B : "Yesterday was Sunday" > Twin A : "it is summer season now" > > a) it is a summer sunday > b) it is a summer monday > c) it is Monday but not summer > d) it is Sunday but not summer > e) it is impossible to determine whether it is Sunday or > Monday. > > > -----------------*-----------------