Aptitude Contest -24 With Answers

[HELP]

1. In how many different ways can the letters of the word 'SOFTWARE' be arranged iI: such a way that the vowels always come together?

(a) 120
(b) 360
(c) 1440
(d) 13440
(e) 720
2. In how many different ways can the letters of the word 'LEADING' be arranged in sum a way that the vowels always come together?

(a) 360
(b) 480
(c) 720
(d) 5040
(e) None of these
3. In how many different ways can the letters of the word 'JUDGE' be arranged in sum a way that the vowels always come together?

(a) 48
(b) 120
(c) 124
(d) 160
(e) None of these
4. In how many different ways can the letters of the word 'AUCTION' be arranged in sue:;. a way that the vowels always come together?

(a) 30
(b) 48
(c) 144
(d) 576
(e) None of these

5. In how many di:tferent ways can the letters of the word ORPORATION' be arrange: so that the vowels always co me together?

(a) 810
(b) 1440
(c) 2880
(d) 50400


(e) 5760








Answers

2. 
   
   A


3. 
   
   D


4. 
   
   E


5. 
   
   D


6. C

Edited by: HELP

[sowmya571]

hello



1. In how
many different ways can the letters of the word 'SOFTWARE' be
arranged iI: such a way
that the vowels always come together?








(a) 120




(b) 360




(c) 1440




(d) 13440




(e) 720


Here we have SOFTWARE


VOWELS---- A E O--3

CONSO-- SFTWR----5
Treat all vowels to be 1 unit-(vowels) + 5(conso) = 6

6
things can be arranged in
= 6 ! = 720


3 vowels can be arranged in
=3! =6


720*6= 4320

[sowmya571]

hello



2. In how
many different ways can the letters of the word 'LEADING' be arranged in sum a way that
the vowels always come together?






(a) 360





(b) 480





(c) 720





(d) 5040





(e) None
of these







Vowels = A E I - 3

Conso= LDNG - 4



so 4(conso)+ 1( treat 3 vvowels as one unit) = 5!= 120



3 vowels can be arranged in = 3! =6



so 120* 6=720

[sowmya571]

hello





In how
many different ways can the letters of the word 'JUDGE' be
arranged in sum a way that
the vowels always come together?












(a) 48






(b) 120






(c) 124






(d) 160






(e) None
of these




vowels = e u=2

conso = jdg = 3




So 3(CONSO)+ 1( 2 VOWELS as 1 unit ) = 4 !=




2 vowels within theself can be arranged in = 2!




So 4!*2!= 48

[sowmya571]

hello

4. In how
many different ways can the letters of the word 'AUCTION' be arranged in sue:;. a way that
the vowels always come together?











a) 30







(b) 48







(c) 144







(d) 576







(e) None
of these







vowels = A U I O =4

conso = C T N = 3






So 3(CONSO)+ 1( 4 VOWELS as 1 unit ) = 4 !






4 vowels within theself can be arranged in = 4!












So 4!*4 != 576

[sowmya571]

hello



i hv doubt in last answer please explain



bye

sowmya

[keerthi]

the last question is CORPORATION i think


the no. of ways =(7!*5!)/3! = 5040*20 = 100800


But no answer .

[sowmya571]

hello



ya even i thought it could be CORPORATION else answer is not coming



thanks

bye

sowmya

[sus.juconst]

the last question is CORPORATION i think


the no. of ways =(7!*5!)/3! = 5040*20 = 100800


But no answer .

Hey....a little mistake here....it should be

(7!/2!)*(5!/3!) = 50400...ans