Latest Elitmus Aptitude Question SOLUTION: Given a number N, 2*N has 28 factors and 3*N has 30 factors. Calculate how many factors will be there in 6*N?

• Placement Papers
• /
• Elitmus
• /
• Logical Reasoning
• /
• Direction Sense

Elitmus Question Papers:

(#M40023802) ELITMUS Logical Reasoning question Keep an EYE

Given a number N, 2*N has 28 factors and 3*N has 30 factors. Calculate how many factors will be there in 6*N?

Asked In Elitmus ranju (10 years ago)

Unsolved Read Solution (5)

Is this Puzzle helpful?   (13)   (2) Submit Your Solution Direction Sense

Read Solution (5) :

dileep  (10 years ago)

28=7*4
30=6*5 therefore 2N=2^6*3^3
and 3N=2^5*3^4
therfore 6N=2^6*3^4
so no. of factors are 7*5=35.

ans is 35

Is this solution Helpfull? Yes (21) | No (9)  

Anurag Kumar Singh  (10 years ago)

Ans. 35

N => 2^a + 3^b + k^c ; k^c = 5^d + 7^e + ......
2*N => 2^(a+1) + 3^b + k^c
3*N => 2^a + 3^(b+1) + k^c

now,
(a+1)*b*c = 28 & a(b+1)c = 30,
so only possible combination of (a,b,c) is (6,4,0)
coz, in case of 2*N,
(6+1)*4=28
& in case of 3*N,
6*(4+1)=30;
So, 6*N => (a+1)*(b+1) = (6+1)*(4+1)=35..

Is this solution Helpfull? Yes (15) | No (2)  

ABDUL KHALAQUE  (10 years ago)

28=7*4
so the solution is as follows
30=6*5 ; 2N=2^6*3^3
and 3N=2^5*3^4
6N=2^6*3^4
so no. of factors are 7*5=35.

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

Govind Kishore  (10 years ago)

35 is right ans

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

Amrit  (10 years ago)

ans-32
as no. of factor for N is 26
when 2 is multiplied-- it increases by 2 (unless 2*N is not a square).
when 3 is multiplied-- it increases by 4 (unless 3*N is not a square).
same for when 6 multiplied-- it increases by 6 (unless 6*N is not a square).
if square then Ans =31

Is this solution Helpfull? Yes (1) | No (11)  

Please Login to Read Solution.