> 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.

>

>

> -----------------*-----------------

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