### INFOSYS(1998-99)

> 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.
>
> 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.
>
> 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

> 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.

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