Latest Elitmus Aptitude Question SOLUTION: if p,q are positive integers and p>q and pq=24 then what is the value of p? 1.p/q is integer 2.q/3 is integer a. b. c. d.

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(#M40151601) ELITMUS Logical Reasoning question data sufficiency Keep an EYE

if p,q are positive integers and p>q and pq=24 then what is the value of p?
1.p/q is integer
2.q/3 is integer
a. b. c. d.

Asked In Elitmus kumar avinash (9 years ago)

Unsolved Read Solution (20)

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Read Solution (20) :

gaurav  (9 years ago)

since pq=24 and p > q, so 24=24*1 or 12*2 or 8*3 or 6*4
statement 1) 24*1 and 12*2 satisfying statement 1. but we are getting two values for p. hence we arent getting unique value of p. so statemt 1 cant solve.
statement 2) 8*3 satisfying the conditions of statement 2.. so p=8

Is this solution Helpfull? Yes (18) | No (8)  

Kunal Dudeja  (9 years ago)

only 2nd is sufficient

Is this solution Helpfull? Yes (11) | No (3)  

Anjali Sadhukhan  (8 years ago)

even both are not sufficient to give the answer...everyone who given soln are neglecting the conds which are given..none of the pair 6,4...8,3.......12,2.....24,1..none f them satisfying the condition see it carefully buddies,,,,,none f them are integer when ...we operate..6/4(no)....8/3(no).....12/2(yes) but 2/3(no)....similarly 1/3(nooo)..correct me if i am wrong:(.....none f them can led us to find the exact value of p.

Is this solution Helpfull? Yes (9) | No (7)  

arpitadas  (9 years ago)

can you plz explain gaurav as we knw in integers fractional values r nt allowed..if we consider q as 8 ..then we q/3 in trms of fraction ..so hw is it possibl?

Is this solution Helpfull? Yes (4) | No (2)  

ANURAG ANAND  (8 years ago)

ONLY STATEMENT 2 IS SUFFICIENT TO ANSWER THE QUESTION. AS S2 GIVES THE UNIQUE VALUE FOR "P".

Is this solution Helpfull? Yes (3) | No   

gaurav  (9 years ago)

since pq=24 and p>q, so 24=24*1 or 12*2 or 8*3 or 6*4
statement 1) 24*1 and 12*2 satisfying statement 1. but we are getting two values for p. hence we aren't getting unique value of p. so statemt 1 can't solve.
statement 2) 8*3 satisfying the conditions of statement 2.. so p=8

Is this solution Helpfull? Yes (2) | No (3)  

ankit chavhan  (8 years ago)

P>0 , q>0
P * q = 24
6. 4
4. 6
12. 2
2. 12
1. 24
24. 1
8. 3
3. 8

Cond. 1) p/q int
Possible values are 12 & 24
Which gives 2 different ans
So 1st cond. Is wrong.

cond 2 ) q/ 3 integer
Possible values are 6,12,24,3
Different ans. For different values
2 nd is also wrong.

Is this solution Helpfull? Yes (2) | No (4)  

varun dhingra  (8 years ago)

p*q=24
=> (24,1), (12*2), (6*3), (8*3);
=> whenever we divide them any of the factor by 3 we get integer value
=> (24/3)=8 ,(12/3)=4, (6/3==2),(3/3)=1
=> so 2 alone is sufficient

Is this solution Helpfull? Yes (1) | No (1)  

vijay  (8 years ago)

2: is sufficient bcoz 1 one gives two values...

Is this solution Helpfull? Yes (1) | No (1)  

akshay kumar  (8 years ago)

both are not sufficient .......

Is this solution Helpfull? Yes (1) | No (3)  

Shubham Brat  (7 years ago)

there are 4 possible p,q
12*2,8*3,6*4,24*1
if we take p/q as our solution then 2 possible p i.e 12 and 24
therefore it cant be the answer
thus taking 2,q/3 we find 8*3 as our solution thus p=8
and the answer is only second assumption is correct which is b.

Is this solution Helpfull? Yes (1) | No   

vipul gera  (9 years ago)

only 1st is sufficient.
values will be (24,1) (12,2) (8,3) (6,4)
p=12

Is this solution Helpfull? Yes | No (16)  

Ashish UPADHYAY  (7 years ago)

pairs:
(p,q)=(6,4)(8,3)(4,6)(12,2)(3,8)(2,12)(3,8)(2,12)(24,1)(1,24)
(q,p)=interchange the numbers in pairs(4,3)(3,8)....(24,1)
integer= no not expressed in fraction
CONDITION FIRST:
(p,q)=(12,2)(24,1) Satisfy
(q,p)=(2,12)(1,24) Satisfy
12/2,24/1=integer
therefore p can be=12 or 24
Condition 2nd:
Q/3 = integer
2/3 or1/3 =not integer.
Therefore Both are not sufficient to answer this question.

Is this solution Helpfull? Yes | No   

Shubham Brat  (7 years ago)

there are 4 possible p,q
12*2,8*3,6*4,24*1
if we take p/q as our solution then 2 possible p i.e 12 and 24
therefore it cant be the answer
thus taking 2,q/3 we find 8*3 as our solution thus p=8
and the answer is only second assumption is correct which is b.

Is this solution Helpfull? Yes | No   

Shubham Brat  (7 years ago)

there are 4 possible p,q
12*2,8*3,6*4,24*1
if we take p/q as our solution then 2 possible p i.e 12 and 24
therefore it cant be the answer
thus taking 2,q/3 we find 8*3 as our solution thus p=8
and the answer is only second assumption is correct which is b.

Is this solution Helpfull? Yes | No   

Shubham Brat  (7 years ago)

there are 4 possible p,q
12*2,8*3,6*4,24*1
if we take p/q as our solution then 2 possible p i.e 12 and 24
therefore it cant be the answer
thus taking 2,q/3 we find 8*3 as our solution thus p=8
and the answer is only second assumption is correct which is b.

Is this solution Helpfull? Yes | No   

Shubham Brat  (7 years ago)

there are 4 possible p,q
12*2,8*3,6*4,24*1
if we take p/q as our solution then 2 possible p i.e 12 and 24
therefore it cant be the answer
thus taking 2,q/3 we find 8*3 as our solution thus p=8
and the answer is only second assumption is correct which is b.

Is this solution Helpfull? Yes | No   

Shubham Brat  (7 years ago)

there are 4 possible p,q
12*2,8*3,6*4,24*1
if we take p/q as our solution then 2 possible p i.e 12 and 24
therefore it cant be the answer
thus taking 2,q/3 we find 8*3 as our solution thus p=8
and the answer is only second assumption is correct which is b.

Is this solution Helpfull? Yes | No   

Shubham Brat  (7 years ago)

there are 4 possible p,q
12*2,8*3,6*4,24*1
if we take p/q as our solution then 2 possible p i.e 12 and 24
therefore it cant be the answer
thus taking 2,q/3 we find 8*3 as our solution thus p=8
and the answer is only second assumption is correct which is b.

Is this solution Helpfull? Yes | No   

Shubham Brat  (7 years ago)

there are 4 possible p,q
12*2,8*3,6*4,24*1
if we take p/q as our solution then 2 possible p i.e 12 and 24
therefore it cant be the answer
thus taking 2,q/3 we find 8*3 as our solution thus p=8
and the answer is only second assumption is correct which is b.

Is this solution Helpfull? Yes | No   

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