Latest Elitmus Aptitude Question SOLUTION: if 21x+24y=c,is c a wholenumber? i)x is a multiple of 42 ii)y is a multiple of 48

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(#M40037472) ELITMUS Numerical Ability question data sufficiency Keep an EYE

if 21x+24y=c,is c a wholenumber?
i)x is a multiple of 42
ii)y is a multiple of 48

Asked In Elitmus Bindhu (10 years ago)

Unsolved Read Solution (9)

Is this Puzzle helpful?   (10)   (1) Submit Your Solution Data Sufficiency

Read Solution (9) :

priyanshu agarwal  (10 years ago)

It requires both option 1 and 2,
because whule number are 0,1,2,3,..... and so on

->so if we know x is a multiple of 42 then it might be possible that y be any fraction which gives (24*y) a fraction value so then c will not be a whole number.

->also if we take only y is a multiple of 48 then also same condition can arise.

so for proper answer we must have to know both x and y.

Is this solution Helpfull? Yes (43) | No (8)  

Mithun Kumar Kesari  (9 years ago)

x is a multiple of 42 it may be negative or positive. also same for y. so we cant say that c is always whole number. it also be negative.

Is this solution Helpfull? Yes (17) | No (3)  

Riya Banerjee  (10 years ago)

it may be both are not sufficient to answer this question

Is this solution Helpfull? Yes (6) | No (15)  

Prashit Prakhar  (9 years ago)

Both statements are no sufficient enough even taken together because we can get that c is a natural number but we cannot get to know whether c attains the '0' value at any instance which is a major difference between a natural number set and a whole number set.

Is this solution Helpfull? Yes (6) | No (8)  

Aakash  (10 years ago)

it requires both. as long as x or y isnt negative, the c will always be whole number

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

Abhishek koul  (9 years ago)

both are not sufficient to ans the ques bcz we wil nt be able to determine whether the number formed starts frm 0 (which is necessary to satisfy to be a whole number) or 1.

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

Vikash kumar  (7 years ago)

1 and 2 are not sufficient to give the soln.

Is this solution Helpfull? Yes | No (1)  

Akshay Bhatt  (7 years ago)

Mithun Kesari sir you are absolutely right

Is this solution Helpfull? Yes | No   

sangeeta kumari  (6 years ago)

answer is both statements together are not sufficient!
explanation:
here nothing is being stated about x and y whether they are positive or negative
as they (statements)can't stand alone ,considering both statements together:
case(i):if we take x=42,y=48 and put in the equation 21x+24y=c=>c is a whole no.
case(ii): if we take x=-42,y=-48=>c=-ve=>c is not a whole number

Is this solution Helpfull? Yes | No   

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